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Fiddling to get clean rendered version
authorjcheney@inf.ed.ac.uk
Mon, 25 Feb 2013 15:15:58 +0000
changeset 5735 8c51d3082048
parent 5734 8df8ca08c88d
child 5736 0ff2dc0bbac3
Fiddling to get clean rendered version
semantics/prov-sem-review-20130226.html
semantics/prov-sem.html 
--- a/semantics/prov-sem-review-20130226.html	Mon Feb 25 13:49:34 2013 +0000
+++ b/semantics/prov-sem-review-20130226.html	Mon Feb 25 15:15:58 2013 +0000
@@ -584,10 +584,7 @@
     
 
   
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+    <style type="text/css">.MathJax_Hover_Frame {border-radius: .25em; -webkit-border-radius: .25em; -moz-border-radius: .25em; -khtml-border-radius: .25em; box-shadow: 0px 0px 15px #83A; -webkit-box-shadow: 0px 0px 15px #83A; -moz-box-shadow: 0px 0px 15px #83A; -khtml-box-shadow: 0px 0px 15px #83A; border: 1px solid #A6D ! important; display: inline-block; position: absolute}
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@@ -606,9 +603,30 @@
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+#MathJax_Message {position: fixed; left: 1px; bottom: 2px; background-color: #E6E6E6; border: 1px solid #959595; margin: 0px; padding: 2px 8px; z-index: 102; color: black; font-size: 80%; width: auto; white-space: nowrap}
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+</style>
+
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+.MathJax img, .MathJax nobr, .MathJax a {border: 0; padding: 0; margin: 0; max-width: none; max-height: none; vertical-align: 0; line-height: normal; text-decoration: none}
+img.MathJax_strut {border: 0 !important; padding: 0 !important; margin: 0 !important; vertical-align: 0 !important}
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+.MathJax nobr {white-space: nowrap ! important}
+.MathJax img {display: inline ! important; float: none ! important}
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+.MathJax_Processed {display: none!important}
+.MathJax_ExBox {display: block; overflow: hidden; width: 1px; height: 60ex}
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+.MathJax .noError {vertical-align: ; font-size: 90%; text-align: left; color: black; padding: 1px 3px; border: 1px solid}
 </style><style>/*****************************************************************
  * ReSpec 3 CSS
  * Robin Berjon - http://berjon.com/
@@ -763,29 +781,11 @@
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-</style><!--[if lt IE 9]><script src='http://www.w3.org/2008/site/js/html5shiv.js'></script><![endif]--><!--[if lt IE 9]><script src='http://www.w3.org/2008/site/js/html5shiv.js'></script><![endif]--></head> 
-  <body><div style="visibility: hidden; overflow: hidden; position: absolute; top: 0px; height: 1px; width: auto; padding: 0px; border: 0px; margin: 0px; text-align: left; text-indent: 0px; text-transform: none; line-height: normal; letter-spacing: normal; word-spacing: normal;"><div id="MathJax_Hidden"></div></div><div class="head">
+</style><link href="https://www.w3.org/StyleSheets/TR/W3C-ED" rel="stylesheet"><!--[if lt IE 9]><script src='https://www.w3.org/2008/site/js/html5shiv.js'></script><![endif]--><!--[if lt IE 9]><script src='https://www.w3.org/2008/site/js/html5shiv.js'></script><![endif]--></head> 
+  <body><div class="head">
   <p>
     
-      <a href="http://www.w3.org/"><img width="72" height="48" src="http://www.w3.org/Icons/w3c_home" alt="W3C"></a>
+      <a href="http://www.w3.org/"><img src="https://www.w3.org/Icons/w3c_home" alt="W3C" height="48" width="72"></a>
     
   </p>
   <h1 class="title" id="title">Semantics of the PROV Data Model</h1>
@@ -834,9 +834,9 @@
     
   
   <hr>
-</div><div id="MathJax_Message" style="display: none;"></div> 
-
-    <section id="abstract" class="introductory"><h2>Abstract</h2>
+</div><div style="visibility: hidden; overflow: hidden; position: absolute; top: 0px; height: 1px; width: auto; padding: 0px; border: 0px none; margin: 0px; text-align: left; text-indent: 0px; text-transform: none; line-height: normal; letter-spacing: normal; word-spacing: normal;"><div id="MathJax_Hidden"></div></div><div style="display: none;" id="MathJax_Message"></div> 
+
+    <section class="introductory" id="abstract"><h2>Abstract</h2>
 <p>
 Provenance is information about entities, activities, and people
 involved in producing a piece of data or thing, which can be used to
@@ -875,20 +875,20 @@
         
 <h4 id="prov-family-of-documents">PROV Family of Documents</h4>
 This document is part of the PROV family of documents, a set of documents defining various aspects that are necessary to achieve the vision of inter-operable
-interchange of provenance information in heterogeneous environments such as the Web.  These documents are listed below. Please consult the [<cite><a class="bibref" href="#bib-PROV-OVERVIEW">PROV-OVERVIEW</a></cite>] for a guide to reading these documents. 
+interchange of provenance information in heterogeneous environments such as the Web.  These documents are listed below. Please consult the [<cite><a href="#bib-PROV-OVERVIEW" class="bibref">PROV-OVERVIEW</a></cite>] for a guide to reading these documents. 
 <ul>
-<li> <a href="http://www.w3.org/TR/2013/WD-prov-overview-20130312/">PROV-OVERVIEW</a> (To be published as Note), an overview of the PROV family of documents [<cite><a class="bibref" href="#bib-PROV-OVERVIEW">PROV-OVERVIEW</a></cite>];</li>
-<li> <a href="http://www.w3.org/TR/2013/WD-prov-primer-20130312/">PROV-PRIMER</a> (To be published as Note), a primer for the PROV data model [<cite><a class="bibref" href="#bib-PROV-PRIMER">PROV-PRIMER</a></cite>];</li>
-<li> <a href="http://www.w3.org/TR/2013/PR-prov-o-20130312/">PROV-O</a> (Proposed Recommendation), the PROV ontology, an OWL2 ontology allowing the mapping of PROV to RDF [<cite><a class="bibref" href="#bib-PROV-O">PROV-O</a></cite>];</li>
-<li> <a href="http://www.w3.org/TR/2013/PR-prov-dm-20130312/">PROV-DM</a> (Proposed Recommendation), the PROV data model for provenance [<cite><a class="bibref" href="#bib-PROV-DM">PROV-DM</a></cite>];</li>
-<li> <a href="http://www.w3.org/TR/2013/PR-prov-n-20130312/">PROV-N</a> (Proposed Recommendation), a notation for provenance aimed at human consumption [<cite><a class="bibref" href="#bib-PROV-N">PROV-N</a></cite>];</li>
+<li> <a href="http://www.w3.org/TR/2013/WD-prov-overview-20130312/">PROV-OVERVIEW</a> (To be published as Note), an overview of the PROV family of documents [<cite><a href="#bib-PROV-OVERVIEW" class="bibref">PROV-OVERVIEW</a></cite>];</li>
+<li> <a href="http://www.w3.org/TR/2013/WD-prov-primer-20130312/">PROV-PRIMER</a> (To be published as Note), a primer for the PROV data model [<cite><a href="#bib-PROV-PRIMER" class="bibref">PROV-PRIMER</a></cite>];</li>
+<li> <a href="http://www.w3.org/TR/2013/PR-prov-o-20130312/">PROV-O</a> (Proposed Recommendation), the PROV ontology, an OWL2 ontology allowing the mapping of PROV to RDF [<cite><a href="#bib-PROV-O" class="bibref">PROV-O</a></cite>];</li>
+<li> <a href="http://www.w3.org/TR/2013/PR-prov-dm-20130312/">PROV-DM</a> (Proposed Recommendation), the PROV data model for provenance [<cite><a href="#bib-PROV-DM" class="bibref">PROV-DM</a></cite>];</li>
+<li> <a href="http://www.w3.org/TR/2013/PR-prov-n-20130312/">PROV-N</a> (Proposed Recommendation), a notation for provenance aimed at human consumption [<cite><a href="#bib-PROV-N" class="bibref">PROV-N</a></cite>];</li>
 <li> <a href="http://www.w3.org/TR/2013/PR-prov-constraints-20130312/">PROV-CONSTRAINTS</a> (Proposed Recommendation), a set of constraints applying to the PROV data model  (this document);</li>
-<li> <a href="http://www.w3.org/TR/2013/WD-prov-xml-20130312/">PROV-XML</a> (To be published as Note),  an XML schema for the PROV data model [<cite><a class="bibref" href="#bib-PROV-XML">PROV-XML</a></cite>];</li>
-<li> <a href="http://www.w3.org/TR/2013/WD-prov-aq-20130312/">PROV-AQ</a> (To be published as Note), the mechanisms for accessing and querying provenance [<cite><a class="bibref" href="#bib-PROV-AQ">PROV-AQ</a></cite>]; </li>
-<li> <a href="http://www.w3.org/TR/2013/WD-prov-dictionary-20130312/">PROV-DICTIONARY</a> (To be published as Note) introduces a specific type of collection, consisting of key-entity pairs [<cite><a class="bibref" href="#bib-PROV-DICTIONARY">PROV-DICTIONARY</a></cite>];</li>
-<li> <a href="http://www.w3.org/TR/2013/WD-prov-dc-20130312/">PROV-DC</a> (To be published as Note) provides a mapping between PROV and Dublic Core Terms [<cite><a class="bibref" href="#bib-PROV-DC">PROV-DC</a></cite>];</li>
-<li> <a href="http://www.w3.org/TR/2013/WD-prov-sem-20130312/">PROV-SEM</a> (To be published as Note), a declarative specification in terms of first-order logic of the PROV data model [<cite><a class="bibref" href="#bib-PROV-SEM">PROV-SEM</a></cite>];</li>
-<li> <a href="http://www.w3.org/TR/2013/WD-prov-links-20130312/">PROV-LINKS</a> (To be published as Note) introduces a mechanism to link across bundles [<cite><a class="bibref" href="#bib-PROV-LINKS">PROV-LINKS</a></cite>].</li>
+<li> <a href="http://www.w3.org/TR/2013/WD-prov-xml-20130312/">PROV-XML</a> (To be published as Note),  an XML schema for the PROV data model [<cite><a href="#bib-PROV-XML" class="bibref">PROV-XML</a></cite>];</li>
+<li> <a href="http://www.w3.org/TR/2013/WD-prov-aq-20130312/">PROV-AQ</a> (To be published as Note), the mechanisms for accessing and querying provenance [<cite><a href="#bib-PROV-AQ" class="bibref">PROV-AQ</a></cite>]; </li>
+<li> <a href="http://www.w3.org/TR/2013/WD-prov-dictionary-20130312/">PROV-DICTIONARY</a> (To be published as Note) introduces a specific type of collection, consisting of key-entity pairs [<cite><a href="#bib-PROV-DICTIONARY" class="bibref">PROV-DICTIONARY</a></cite>];</li>
+<li> <a href="http://www.w3.org/TR/2013/WD-prov-dc-20130312/">PROV-DC</a> (To be published as Note) provides a mapping between PROV and Dublic Core Terms [<cite><a href="#bib-PROV-DC" class="bibref">PROV-DC</a></cite>];</li>
+<li> <a href="http://www.w3.org/TR/2013/WD-prov-sem-20130312/">PROV-SEM</a> (To be published as Note), a declarative specification in terms of first-order logic of the PROV data model [<cite><a href="#bib-PROV-SEM" class="bibref">PROV-SEM</a></cite>];</li>
+<li> <a href="http://www.w3.org/TR/2013/WD-prov-links-20130312/">PROV-LINKS</a> (To be published as Note) introduces a mechanism to link across bundles [<cite><a href="#bib-PROV-LINKS" class="bibref">PROV-LINKS</a></cite>].</li>
 </ul>
 
 
@@ -936,7 +936,7 @@
       
     
   
-</section><section id="toc"><h2 class="introductory">Table of Contents</h2><ul class="toc"><li class="tocline"><a href="#introduction" class="tocxref"><span class="secno">1. </span>Introduction</a><ul class="toc"><li class="tocline"><a href="#purpose" class="tocxref"><span class="secno">1.1 </span>Purpose of this document</a></li><li class="tocline"><a href="#structure-of-this-document" class="tocxref"><span class="secno">1.2 </span>Structure of this document</a></li><li class="tocline"><a href="#audience" class="tocxref"><span class="secno">1.3 </span> Audience </a></li></ul></li><li class="tocline"><a href="#basics" class="tocxref"><span class="secno">2. </span> Basics </a><ul class="toc"><li class="tocline"><a href="#identifiers" class="tocxref"><span class="secno">2.1 </span> Identifiers </a></li><li class="tocline"><a href="#times-and-intervals" class="tocxref"><span class="secno">2.2 </span> Times and Intervals </a></li><li class="tocline"><a href="#attributes-and-values" class="tocxref"><span class="secno">2.3 </span> Attributes and Values </a></li><li class="tocline"><a href="#formulas" class="tocxref"><span class="secno">2.4 </span>Atomic Formulas</a></li><li class="tocline"><a href="#first-order-formulas" class="tocxref"><span class="secno">2.5 </span>First-Order Formulas</a></li></ul></li><li class="tocline"><a href="#structures" class="tocxref"><span class="secno">3. </span> Structures and Interpretations </a><ul class="toc"><li class="tocline"><a href="#things-1" class="tocxref"><span class="secno">3.1 </span> Things </a></li><li class="tocline"><a href="#objects-1" class="tocxref"><span class="secno">3.2 </span> Objects </a><ul class="toc"><li class="tocline"><a href="#entities-1" class="tocxref"><span class="secno">3.2.1 </span> Entities </a><ul class="toc"><li class="tocline"><a href="#plans-1" class="tocxref"><span class="secno">3.2.1.1 </span> Plans </a></li></ul></li><li class="tocline"><a href="#actvities" class="tocxref"><span class="secno">3.2.2 </span> Actvities </a></li><li class="tocline"><a href="#agents-1" class="tocxref"><span class="secno">3.2.3 </span> Agents </a></li><li class="tocline"><a href="#interactions-1" class="tocxref"><span class="secno">3.2.4 </span> Interactions </a><ul class="toc"><li class="tocline"><a href="#events-1" class="tocxref"><span class="secno">3.2.4.1 </span> Events </a></li><li class="tocline"><a href="#associations-1" class="tocxref"><span class="secno">3.2.4.2 </span> Associations </a></li><li class="tocline"><a href="#communications" class="tocxref"><span class="secno">3.2.4.3 </span>Communications</a></li><li class="tocline"><a href="#delegations" class="tocxref"><span class="secno">3.2.4.4 </span>Delegations</a></li><li class="tocline"><a href="#derivations-1" class="tocxref"><span class="secno">3.2.4.5 </span> Derivations </a></li></ul></li></ul></li><li class="tocline"><a href="#relations" class="tocxref"><span class="secno">3.3 </span> Relations </a><ul class="toc"><li class="tocline"><a href="#derivation-paths-and-derivedfrom" class="tocxref"><span class="secno">3.3.1 </span> Derivation paths and DerivedFrom </a></li></ul></li><li class="tocline"><a href="#putting-it-all-together" class="tocxref"><span class="secno">3.4 </span> Putting it all together </a></li><li class="tocline"><a href="#interpretations" class="tocxref"><span class="secno">3.5 </span> Interpretations </a></li></ul></li><li class="tocline"><a href="#semantics" class="tocxref"><span class="secno">4. </span> Semantics </a><ul class="toc"><li class="tocline"><a href="#satisfaction" class="tocxref"><span class="secno">4.1 </span> Satisfaction </a></li><li class="tocline"><a href="#attribute-matching" class="tocxref"><span class="secno">4.2 </span> Attribute matching </a></li><li class="tocline"><a href="#semantics-of-element-formulas" class="tocxref"><span class="secno">4.3 </span> Semantics of Element Formulas </a><ul class="toc"><li class="tocline"><a href="#entity" class="tocxref"><span class="secno">4.3.1 </span> Entity </a></li><li class="tocline"><a href="#activity" class="tocxref"><span class="secno">4.3.2 </span> Activity </a></li><li class="tocline"><a href="#agent" class="tocxref"><span class="secno">4.3.3 </span> Agent </a></li></ul></li><li class="tocline"><a href="#semantics-of-relations" class="tocxref"><span class="secno">4.4 </span> Semantics of Relations </a><ul class="toc"><li class="tocline"><a href="#generation" class="tocxref"><span class="secno">4.4.1 </span> Generation </a></li><li class="tocline"><a href="#use" class="tocxref"><span class="secno">4.4.2 </span> Use </a></li><li class="tocline"><a href="#invalidation" class="tocxref"><span class="secno">4.4.3 </span> Invalidation </a></li><li class="tocline"><a href="#association" class="tocxref"><span class="secno">4.4.4 </span> Association </a></li><li class="tocline"><a href="#start-formulas" class="tocxref"><span class="secno">4.4.5 </span> Start Formulas </a></li><li class="tocline"><a href="#end" class="tocxref"><span class="secno">4.4.6 </span> End </a></li><li class="tocline"><a href="#attribution" class="tocxref"><span class="secno">4.4.7 </span> Attribution </a></li><li class="tocline"><a href="#communication" class="tocxref"><span class="secno">4.4.8 </span>Communication</a></li><li class="tocline"><a href="#responsibility" class="tocxref"><span class="secno">4.4.9 </span> Responsibility </a></li><li class="tocline"><a href="#derivation" class="tocxref"><span class="secno">4.4.10 </span> Derivation </a><ul class="toc"><li class="tocline"><a href="#precise" class="tocxref"><span class="secno">4.4.10.1 </span> Precise </a></li><li class="tocline"><a href="#imprecise" class="tocxref"><span class="secno">4.4.10.2 </span> Imprecise </a></li></ul></li><li class="tocline"><a href="#influence" class="tocxref"><span class="secno">4.4.11 </span>Influence</a></li><li class="tocline"><a href="#specialization" class="tocxref"><span class="secno">4.4.12 </span> Specialization </a></li><li class="tocline"><a href="#alternate" class="tocxref"><span class="secno">4.4.13 </span> Alternate </a></li><li class="tocline"><a href="#membership" class="tocxref"><span class="secno">4.4.14 </span> Membership </a></li></ul></li><li class="tocline"><a href="#auxiliary-formulas" class="tocxref"><span class="secno">4.5 </span>Auxiliary formulas</a><ul class="toc"><li class="tocline"><a href="#equals" class="tocxref"><span class="secno">4.5.1 </span>Equals</a></li><li class="tocline"><a href="#precedes-and-strictly-precedes" class="tocxref"><span class="secno">4.5.2 </span>Precedes and Strictly Precedes</a></li><li class="tocline"><a href="#notnull" class="tocxref"><span class="secno">4.5.3 </span>notNull</a></li><li class="tocline"><a href="#typeof" class="tocxref"><span class="secno">4.5.4 </span>typeOf</a></li></ul></li></ul></li><li class="tocline"><a href="#theory" class="tocxref"><span class="secno">5. </span> Inferences and Constraints </a><ul class="toc"><li class="tocline"><a href="#inferences" class="tocxref"><span class="secno">5.1 </span>Inferences</a></li><li class="tocline"><a href="#constraints" class="tocxref"><span class="secno">5.2 </span>Constraints</a><ul class="toc"><li class="tocline"><a href="#uniqueness-constraints" class="tocxref"><span class="secno">5.2.1 </span>Uniqueness constraints</a></li><li class="tocline"><a href="#ordering-constraints" class="tocxref"><span class="secno">5.2.2 </span>Ordering constraints</a></li><li class="tocline"><a href="#typing-constraints" class="tocxref"><span class="secno">5.2.3 </span>Typing constraints</a></li><li class="tocline"><a href="#impossibility-constraints" class="tocxref"><span class="secno">5.2.4 </span>Impossibility constraints</a></li></ul></li></ul></li><li class="tocline"><a href="#soundness" class="tocxref"><span class="secno">6. </span>Soundness</a></li><li class="tocline"><a href="#acknowledgements" class="tocxref"><span class="secno">A. </span>Acknowledgements</a></li><li class="tocline"><a href="#references" class="tocxref"><span class="secno">B. </span>References</a><ul class="toc"><li class="tocline"><a href="#informative-references" class="tocxref"><span class="secno">B.1 </span>Informative references</a></li></ul></li></ul></section>
+</section><section id="toc"><h2 class="introductory">Table of Contents</h2><ul class="toc"><li class="tocline"><a class="tocxref" href="#introduction"><span class="secno">1. </span>Introduction</a><ul class="toc"><li class="tocline"><a class="tocxref" href="#purpose"><span class="secno">1.1 </span>Purpose of this document</a></li><li class="tocline"><a class="tocxref" href="#structure-of-this-document"><span class="secno">1.2 </span>Structure of this document</a></li><li class="tocline"><a class="tocxref" href="#audience"><span class="secno">1.3 </span> Audience </a></li></ul></li><li class="tocline"><a class="tocxref" href="#basics"><span class="secno">2. </span> Basics </a><ul class="toc"><li class="tocline"><a class="tocxref" href="#identifiers"><span class="secno">2.1 </span> Identifiers </a></li><li class="tocline"><a class="tocxref" href="#times-and-intervals"><span class="secno">2.2 </span> Times and Intervals </a></li><li class="tocline"><a class="tocxref" href="#attributes-and-values"><span class="secno">2.3 </span> Attributes and Values </a></li><li class="tocline"><a class="tocxref" href="#formulas"><span class="secno">2.4 </span>Atomic Formulas</a></li><li class="tocline"><a class="tocxref" href="#first-order-formulas"><span class="secno">2.5 </span>First-Order Formulas</a></li></ul></li><li class="tocline"><a class="tocxref" href="#structures"><span class="secno">3. </span> Structures and Interpretations </a><ul class="toc"><li class="tocline"><a class="tocxref" href="#things-1"><span class="secno">3.1 </span> Things </a></li><li class="tocline"><a class="tocxref" href="#objects-1"><span class="secno">3.2 </span> Objects </a><ul class="toc"><li class="tocline"><a class="tocxref" href="#entities-1"><span class="secno">3.2.1 </span> Entities </a><ul class="toc"><li class="tocline"><a class="tocxref" href="#plans-1"><span class="secno">3.2.1.1 </span> Plans </a></li></ul></li><li class="tocline"><a class="tocxref" href="#actvities"><span class="secno">3.2.2 </span> Actvities </a></li><li class="tocline"><a class="tocxref" href="#agents-1"><span class="secno">3.2.3 </span> Agents </a></li><li class="tocline"><a class="tocxref" href="#interactions-1"><span class="secno">3.2.4 </span> Interactions </a><ul class="toc"><li class="tocline"><a class="tocxref" href="#events-1"><span class="secno">3.2.4.1 </span> Events </a></li><li class="tocline"><a class="tocxref" href="#associations-1"><span class="secno">3.2.4.2 </span> Associations </a></li><li class="tocline"><a class="tocxref" href="#communications"><span class="secno">3.2.4.3 </span>Communications</a></li><li class="tocline"><a class="tocxref" href="#delegations"><span class="secno">3.2.4.4 </span>Delegations</a></li><li class="tocline"><a class="tocxref" href="#derivations-1"><span class="secno">3.2.4.5 </span> Derivations </a></li></ul></li></ul></li><li class="tocline"><a class="tocxref" href="#relations"><span class="secno">3.3 </span> Relations </a><ul class="toc"><li class="tocline"><a class="tocxref" href="#derivation-paths-and-derivedfrom"><span class="secno">3.3.1 </span> Derivation paths and DerivedFrom </a></li></ul></li><li class="tocline"><a class="tocxref" href="#putting-it-all-together"><span class="secno">3.4 </span> Putting it all together </a></li><li class="tocline"><a class="tocxref" href="#interpretations"><span class="secno">3.5 </span> Interpretations </a></li></ul></li><li class="tocline"><a class="tocxref" href="#semantics"><span class="secno">4. </span> Semantics </a><ul class="toc"><li class="tocline"><a class="tocxref" href="#satisfaction"><span class="secno">4.1 </span> Satisfaction </a></li><li class="tocline"><a class="tocxref" href="#attribute-matching"><span class="secno">4.2 </span> Attribute matching </a></li><li class="tocline"><a class="tocxref" href="#semantics-of-element-formulas"><span class="secno">4.3 </span> Semantics of Element Formulas </a><ul class="toc"><li class="tocline"><a class="tocxref" href="#entity"><span class="secno">4.3.1 </span> Entity </a></li><li class="tocline"><a class="tocxref" href="#activity"><span class="secno">4.3.2 </span> Activity </a></li><li class="tocline"><a class="tocxref" href="#agent"><span class="secno">4.3.3 </span> Agent </a></li></ul></li><li class="tocline"><a class="tocxref" href="#semantics-of-relations"><span class="secno">4.4 </span> Semantics of Relations </a><ul class="toc"><li class="tocline"><a class="tocxref" href="#generation"><span class="secno">4.4.1 </span> Generation </a></li><li class="tocline"><a class="tocxref" href="#use"><span class="secno">4.4.2 </span> Use </a></li><li class="tocline"><a class="tocxref" href="#invalidation"><span class="secno">4.4.3 </span> Invalidation </a></li><li class="tocline"><a class="tocxref" href="#association"><span class="secno">4.4.4 </span> Association </a></li><li class="tocline"><a class="tocxref" href="#start-formulas"><span class="secno">4.4.5 </span> Start Formulas </a></li><li class="tocline"><a class="tocxref" href="#end"><span class="secno">4.4.6 </span> End </a></li><li class="tocline"><a class="tocxref" href="#attribution"><span class="secno">4.4.7 </span> Attribution </a></li><li class="tocline"><a class="tocxref" href="#communication"><span class="secno">4.4.8 </span>Communication</a></li><li class="tocline"><a class="tocxref" href="#responsibility"><span class="secno">4.4.9 </span> Responsibility </a></li><li class="tocline"><a class="tocxref" href="#derivation"><span class="secno">4.4.10 </span> Derivation </a><ul class="toc"><li class="tocline"><a class="tocxref" href="#precise"><span class="secno">4.4.10.1 </span> Precise </a></li><li class="tocline"><a class="tocxref" href="#imprecise"><span class="secno">4.4.10.2 </span> Imprecise </a></li></ul></li><li class="tocline"><a class="tocxref" href="#influence"><span class="secno">4.4.11 </span>Influence</a></li><li class="tocline"><a class="tocxref" href="#specialization"><span class="secno">4.4.12 </span> Specialization </a></li><li class="tocline"><a class="tocxref" href="#alternate"><span class="secno">4.4.13 </span> Alternate </a></li><li class="tocline"><a class="tocxref" href="#membership"><span class="secno">4.4.14 </span> Membership </a></li></ul></li><li class="tocline"><a class="tocxref" href="#auxiliary-formulas"><span class="secno">4.5 </span>Auxiliary formulas</a><ul class="toc"><li class="tocline"><a class="tocxref" href="#equals"><span class="secno">4.5.1 </span>Equals</a></li><li class="tocline"><a class="tocxref" href="#precedes-and-strictly-precedes"><span class="secno">4.5.2 </span>Precedes and Strictly Precedes</a></li><li class="tocline"><a class="tocxref" href="#notnull"><span class="secno">4.5.3 </span>notNull</a></li><li class="tocline"><a class="tocxref" href="#typeof"><span class="secno">4.5.4 </span>typeOf</a></li></ul></li></ul></li><li class="tocline"><a class="tocxref" href="#theory"><span class="secno">5. </span> Inferences and Constraints </a><ul class="toc"><li class="tocline"><a class="tocxref" href="#inferences"><span class="secno">5.1 </span>Inferences</a></li><li class="tocline"><a class="tocxref" href="#constraints"><span class="secno">5.2 </span>Constraints</a><ul class="toc"><li class="tocline"><a class="tocxref" href="#uniqueness-constraints"><span class="secno">5.2.1 </span>Uniqueness constraints</a></li><li class="tocline"><a class="tocxref" href="#ordering-constraints"><span class="secno">5.2.2 </span>Ordering constraints</a></li><li class="tocline"><a class="tocxref" href="#typing-constraints"><span class="secno">5.2.3 </span>Typing constraints</a></li><li class="tocline"><a class="tocxref" href="#impossibility-constraints"><span class="secno">5.2.4 </span>Impossibility constraints</a></li></ul></li></ul></li><li class="tocline"><a class="tocxref" href="#soundness"><span class="secno">6. </span>Soundness</a></li><li class="tocline"><a class="tocxref" href="#acknowledgements"><span class="secno">A. </span>Acknowledgements</a></li><li class="tocline"><a class="tocxref" href="#references"><span class="secno">B. </span>References</a><ul class="toc"><li class="tocline"><a class="tocxref" href="#informative-references"><span class="secno">B.1 </span>Informative references</a></li></ul></li></ul></section>
 
 
 
@@ -949,9 +949,9 @@
 <p>
 Provenance is a record that describes the people, institutions, entities, and activities involved in producing, influencing, or delivering a piece of data or a thing.
 This document complements
-  the PROV-DM specification [<cite><a class="bibref" href="#bib-PROV-DM">PROV-DM</a></cite>] that defines a data model for
+  the PROV-DM specification [<cite><a href="#bib-PROV-DM" class="bibref">PROV-DM</a></cite>] that defines a data model for
   provenance on the Web, and the PROV-CONSTRAINTS specification
-[<cite><a class="bibref" href="#bib-PROV-CONSTRAINTS">PROV-CONSTRAINTS</a></cite>] that
+[<cite><a href="#bib-PROV-CONSTRAINTS" class="bibref">PROV-CONSTRAINTS</a></cite>] that
 specifies definitions, inferences, and constraints that can be used to
 reason about PROV documents, or determine their validity.  This document
 provides a reference formal semantics of PROV, providing a formal
@@ -986,8 +986,8 @@
 derivation, the meaning is either obvious or situation-dependent.
 However, during the development of PROV, the importance of additional
 concepts became evident, but the intuitive meaning or correct use of
-these concepts were not clear.  For example, the <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-1-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1"><span style="display: inline-block; position: relative; width: 91px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-2"><span class="mi" id="MathJax-Span-3" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-4" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-5" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-8" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-9" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-10" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-12" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-13" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-1">alternateOf</script> and
-<span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-2-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-14"><span style="display: inline-block; position: relative; width: 128px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-15"><span class="mi" id="MathJax-Span-16" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-17" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-18" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-19" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-20" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-21" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-22" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-23" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-24" style="font-family: STIXGeneral-Italic;">z</span><span class="mi" id="MathJax-Span-25" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-26" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-27" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-28" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-29" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-30" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-31" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-2">specializationOf</script> relations are used in PROV to relate different
+these concepts were not clear.  For example, the <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-1-Frame" class="MathJax"><nobr><span id="MathJax-Span-1" class="math"><span style="display: inline-block; position: relative; width: 83px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-2" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-1" type="math/tex">alternateOf</script> and
+<span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-2-Frame" class="MathJax"><nobr><span id="MathJax-Span-14" class="math"><span style="display: inline-block; position: relative; width: 115px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.51em); top: -2.57em; left: 0em;"><span id="MathJax-Span-15" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-21" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-22" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-23" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-24" class="mi">z</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-25" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-26" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-27" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-28" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-29" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-30" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-31" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-2" type="math/tex">specializationOf</script> relations are used in PROV to relate different
 entities that present aspects of "the same thing".  
 Over time the working group came to a
 consensus about these concepts and how they are to be used, but this
@@ -1044,7 +1044,7 @@
 <div class="note"><div class="note-title"><span>Note</span></div><div class="">
   Completeness direction above doesn't hold for current semantics,
   because attributes assumed to be single-valued; for
-  example, <span class="MathJax_Preview">entity(id,[a=1,a=2])</span><script type="math/tex" id="MathJax-Element-3">entity(id,[a=1,a=2])</script> is valid but doesn't have a
+  example, <span class="MathJax_Preview">entity(id,[a=1,a=2])</span><script id="MathJax-Element-3" type="math/tex">entity(id,[a=1,a=2])</script> is valid but doesn't have a
   reference model.
   </div></div>
 
@@ -1053,10 +1053,10 @@
 <h3><span class="secno">1.3 </span> Audience </h3>
 
 
-<p>This document assumes familiarity with [<cite><a class="bibref" href="#bib-PROV-DM">PROV-DM</a></cite>] and
-  [<cite><a class="bibref" href="#bib-PROV-CONSTRAINTS">PROV-CONSTRAINTS</a></cite>] and employs (a
+<p>This document assumes familiarity with [<cite><a href="#bib-PROV-DM" class="bibref">PROV-DM</a></cite>] and
+  [<cite><a href="#bib-PROV-CONSTRAINTS" class="bibref">PROV-CONSTRAINTS</a></cite>] and employs (a
   simplified form of) 
-[<cite><a class="bibref" href="#bib-PROV-N">PROV-N</a></cite>] notation.  In particular it assumes familiarity with the concepts
+[<cite><a href="#bib-PROV-N" class="bibref">PROV-N</a></cite>] notation.  In particular it assumes familiarity with the concepts
   from logic, and the relationship between PROV statements and
   instances and first-order formulas and theories, respectively,
   presented in <a href="http://www.w3.org/TR/2013/PR-prov-constraints-20130312/#overview">Section 2.5</a> of PROV-CONSTRAINTS.
@@ -1124,37 +1124,37 @@
 <section id="identifiers">
 <h3><span class="secno">2.1 </span> Identifiers </h3>
 
-<p>A lowercase symbol <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-4-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-54"><span style="display: inline-block; position: relative; width: 54px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -9.5px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-55"><span class="mi" id="MathJax-Span-56" style="font-family: STIXGeneral-Italic;">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.1px;"></span></span><span class="mo" id="MathJax-Span-57" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-58" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">y</span><span class="mo" id="MathJax-Span-59" style="font-family: STIXGeneral-Regular;">,</span><span class="mo" id="MathJax-Span-60" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">.</span><span class="mo" id="MathJax-Span-61" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">.</span><span class="mo" id="MathJax-Span-62" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">.</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 14.5px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-4">x,y,...</script> on its own denotes an identifier.
-Identifiers may or may not be URIs.  Identifiers are viewed as variables in logic (or blank nodes in RDF): just because we have two different identifiers <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-5-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-63"><span style="display: inline-block; position: relative; width: 9px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -9.5px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-64"><span class="mi" id="MathJax-Span-65" style="font-family: STIXGeneral-Italic;">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.1px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-5">x</script> and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-6-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-66"><span style="display: inline-block; position: relative; width: 8px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -9.5px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-67"><span class="mi" id="MathJax-Span-68" style="font-family: STIXGeneral-Italic;">y</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 14.5px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-6">y</script> doesn't tell us that they denote different things, since we could discover that they are actually the same later.  We write <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-7-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-69"><span style="display: inline-block; position: relative; width: 81px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -9.2px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-70"><span class="mi" id="MathJax-Span-71" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span class="mi" id="MathJax-Span-72" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-73" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-74" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-75" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-76" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-77" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-78" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-79" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-80" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-81" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-7">Identifiers</script> for the set of identifiers of interest in a given situation (typically, the set of identifiers present in the PROV instance of interest).
+<p>A lowercase symbol <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-4-Frame" class="MathJax"><nobr><span id="MathJax-Span-54" class="math"><span style="display: inline-block; position: relative; width: 49px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.951em, -0.553em); top: -2.57em; left: 0em;"><span id="MathJax-Span-55" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-56" class="mi">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-57" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-58" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-59" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-60" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-61" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-62" class="mo">.</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.817em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-4" type="math/tex">x,y,...</script> on its own denotes an identifier.
+Identifiers may or may not be URIs.  Identifiers are viewed as variables in logic (or blank nodes in RDF): just because we have two different identifiers <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-5-Frame" class="MathJax"><nobr><span id="MathJax-Span-63" class="math"><span style="display: inline-block; position: relative; width: 8px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.553em); top: -2.57em; left: 0em;"><span id="MathJax-Span-64" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-65" class="mi">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.609em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-5" type="math/tex">x</script> and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-6-Frame" class="MathJax"><nobr><span id="MathJax-Span-66" class="math"><span style="display: inline-block; position: relative; width: 8px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.951em, -0.55em); top: -2.57em; left: 0em;"><span id="MathJax-Span-67" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-68" class="mi">y</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.817em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-6" type="math/tex">y</script> doesn't tell us that they denote different things, since we could discover that they are actually the same later.  We write <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-7-Frame" class="MathJax"><nobr><span id="MathJax-Span-69" class="math"><span style="display: inline-block; position: relative; width: 75px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.534em); top: -2.57em; left: 0em;"><span id="MathJax-Span-70" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-71" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-72" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-73" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-74" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-75" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-76" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-77" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-78" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-79" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-80" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-81" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-7" type="math/tex">Identifiers</script> for the set of identifiers of interest in a given situation (typically, the set of identifiers present in the PROV instance of interest).
 </p>
 </section>
 
 <section id="times-and-intervals">
 <h3><span class="secno">2.2 </span> Times and Intervals </h3>
 
-<p>We assume a linearly ordered set <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-8-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-82"><span style="display: inline-block; position: relative; width: 82px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 54.4px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-83"><span class="mo" id="MathJax-Span-84" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-85" style="font-family: STIXGeneral-Italic;">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.5px;"></span></span><span class="mi" id="MathJax-Span-86" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-87" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-88" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-89" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-90" style="font-family: STIXGeneral-Regular;">,</span><span class="mo" id="MathJax-Span-91" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">≤</span><span class="mo" id="MathJax-Span-92" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.5px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-8">(Times,\leq)</script> of time instants.  For convenience we assume the order is total or linear order, corresponding to a linear timeline; however, PROV does not assume that time is linear and events could be partially ordered and not necessarily reconciled to a single global clock.  
+<p>We assume a linearly ordered set <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-8-Frame" class="MathJax"><nobr><span id="MathJax-Span-82" class="math"><span style="display: inline-block; position: relative; width: 73px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.922em, -0.478em); top: -2.57em; left: 0em;"><span id="MathJax-Span-83" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-84" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-85" class="mi">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.077em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-86" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-87" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-88" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-89" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-90" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-91" class="mo">≤</span><span style="font-family: STIXGeneral;" id="MathJax-Span-92" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.038em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-8" type="math/tex">(Times,\leq)</script> of time instants.  For convenience we assume the order is total or linear order, corresponding to a linear timeline; however, PROV does not assume that time is linear and events could be partially ordered and not necessarily reconciled to a single global clock.  
 </p>
-<p>We also consider a set <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-9-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-93"><span style="display: inline-block; position: relative; width: 68px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -9.2px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-94"><span class="mi" id="MathJax-Span-95" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span class="mi" id="MathJax-Span-96" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-97" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-98" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-99" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-100" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-101" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-102" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-103" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.6px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-9">Intervals</script> of closed intervals of the form <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-10-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-104"><span style="display: inline-block; position: relative; width: 127px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.6px 19360px 54.7px -7.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-105"><span class="mo" id="MathJax-Span-106" style="font-family: STIXGeneral-Regular;">{</span><span class="mi" id="MathJax-Span-107" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-108" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∣</span><span class="msubsup" id="MathJax-Span-109" style="padding-left: 6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-110" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-111" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-112" style="font-family: STIXGeneral-Regular; padding-left: 6px;">≤</span><span class="mi" id="MathJax-Span-113" style="font-family: STIXGeneral-Italic; padding-left: 6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-114" style="font-family: STIXGeneral-Regular; padding-left: 6px;">≤</span><span class="msubsup" id="MathJax-Span-115" style="padding-left: 6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-116" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-117" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-118" style="font-family: STIXGeneral-Regular;">}</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19px; vertical-align: -4.7px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-10">\{t \mid t_1 \leq t \leq t_2\}</script>.
+<p>We also consider a set <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-9-Frame" class="MathJax"><nobr><span id="MathJax-Span-93" class="math"><span style="display: inline-block; position: relative; width: 62px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.763em, -0.534em); top: -2.57em; left: 0em;"><span id="MathJax-Span-94" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-95" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-96" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-97" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-98" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-99" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-100" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-101" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-102" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-103" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.875em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-9" type="math/tex">Intervals</script> of closed intervals of the form <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-10-Frame" class="MathJax"><nobr><span id="MathJax-Span-104" class="math"><span style="display: inline-block; position: relative; width: 108px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.705em, 1000em, 2.934em, -0.426em); top: -2.57em; left: 0em;"><span id="MathJax-Span-105" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-106" class="mo">{</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-107" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-108" class="mo">∣</span><span style="padding-left: 0.313em;" id="MathJax-Span-109" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-110" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-111" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-112" class="mo">≤</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-113" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-114" class="mo">≤</span><span style="padding-left: 0.313em;" id="MathJax-Span-115" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-116" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-117" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-118" class="mo">}</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.066em; vertical-align: -0.265em;"></span></span></nobr></span><script id="MathJax-Element-10" type="math/tex">\{t \mid t_1 \leq t \leq t_2\}</script>.
 </p>
 </section>
 
 <section id="attributes-and-values">
 <h3><span class="secno">2.3 </span> Attributes and Values </h3>
 
-<p>We assume a set <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-11-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-119"><span style="display: inline-block; position: relative; width: 76px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -10px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-120"><span class="mi" id="MathJax-Span-121" style="font-family: STIXGeneral-Italic;">A</span><span class="mi" id="MathJax-Span-122" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-123" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-124" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-125" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-126" style="font-family: STIXGeneral-Italic;">b</span><span class="mi" id="MathJax-Span-127" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-128" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-129" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-130" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-11">Attributes</script> of attribute labels and a set <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-12-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-131"><span style="display: inline-block; position: relative; width: 54px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -7.5px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-132"><span class="mi" id="MathJax-Span-133" style="font-family: STIXGeneral-Italic;">V<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.5px;"></span></span><span class="mi" id="MathJax-Span-134" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-135" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-136" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-137" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-138" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.6px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-12">Values</script>
+<p>We assume a set <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-11-Frame" class="MathJax"><nobr><span id="MathJax-Span-119" class="math"><span style="display: inline-block; position: relative; width: 69px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.577em); top: -2.57em; left: 0em;"><span id="MathJax-Span-120" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-121" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-122" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-123" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-124" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-125" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-126" class="mi">b</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-127" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-128" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-129" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-130" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-11" type="math/tex">Attributes</script> of attribute labels and a set <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-12-Frame" class="MathJax"><nobr><span id="MathJax-Span-131" class="math"><span style="display: inline-block; position: relative; width: 48px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.763em, -0.45em); top: -2.57em; left: 0em;"><span id="MathJax-Span-132" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-133" class="mi">V<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.077em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-134" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-135" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-136" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-137" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-138" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.875em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-12" type="math/tex">Values</script>
 of possible values of attributes.  To allow for the fact that some
 attributes can have undefined or multiple values, we sometimes use the set
-<span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-13-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-139"><span style="display: inline-block; position: relative; width: 71px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 54.4px -9px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-140"><span class="mi" id="MathJax-Span-141" style="font-family: STIXGeneral-Italic;">P</span><span class="mo" id="MathJax-Span-142" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-143" style="font-family: STIXGeneral-Italic;">V<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.5px;"></span></span><span class="mi" id="MathJax-Span-144" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-145" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-146" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-147" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-148" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.6px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-13">P(Value)</script>, that is, the set of sets of values.
+<span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-13-Frame" class="MathJax"><nobr><span id="MathJax-Span-139" class="math"><span style="display: inline-block; position: relative; width: 63px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.922em, -0.526em); top: -2.57em; left: 0em;"><span id="MathJax-Span-140" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-141" class="mi">P</span><span style="font-family: STIXGeneral;" id="MathJax-Span-142" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-143" class="mi">V<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.077em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-144" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-145" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-146" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-147" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-148" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.045em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-13" type="math/tex">P(Value)</script>, that is, the set of sets of values.
 </p> </section>
 
 <section id="formulas">
 <h3><span class="secno">2.4 </span>Atomic Formulas</h3>
 
-<p>The following atomic formulas correspond to the statements of PROV-DM.  We assume that definitions 1-4 of PROV-CONSTRAINTS have been applied in order to expand all optional parameters; thus, we use uniform notation <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-14-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-149"><span style="display: inline-block; position: relative; width: 116px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 54.4px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-150"><span class="mi" id="MathJax-Span-151" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mo" id="MathJax-Span-152" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-153" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-154" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-155" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-156" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-157" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-158" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-159" style="font-family: STIXGeneral-Regular;">,</span><span class="mo" id="MathJax-Span-160" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">…</span><span class="mo" id="MathJax-Span-161" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">,</span><span class="msubsup" id="MathJax-Span-162" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-163" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mi" id="MathJax-Span-164" style="font-size: 70.7%; font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-165" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.6px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-14">r(id,a_1,\ldots,a_n)</script> instead of the semicolon notation <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-15-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-166"><span style="display: inline-block; position: relative; width: 117px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 54.4px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-167"><span class="mi" id="MathJax-Span-168" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mo" id="MathJax-Span-169" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-170" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-171" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-172" style="font-family: STIXGeneral-Regular;">;</span><span class="msubsup" id="MathJax-Span-173" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-174" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-175" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-176" style="font-family: STIXGeneral-Regular;">,</span><span class="mo" id="MathJax-Span-177" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">…</span><span class="mo" id="MathJax-Span-178" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">,</span><span class="msubsup" id="MathJax-Span-179" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-180" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mi" id="MathJax-Span-181" style="font-size: 70.7%; font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-182" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.6px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-15">r(id;a_1,\ldots,a_n)</script>.
+<p>The following atomic formulas correspond to the statements of PROV-DM.  We assume that definitions 1-4 of PROV-CONSTRAINTS have been applied in order to expand all optional parameters; thus, we use uniform notation <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-14-Frame" class="MathJax"><nobr><span id="MathJax-Span-149" class="math"><span style="display: inline-block; position: relative; width: 106px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.922em, -0.481em); top: -2.57em; left: 0em;"><span id="MathJax-Span-150" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-151" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-152" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-153" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-154" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-155" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-156" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-157" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-158" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-159" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-160" class="mo">…</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-161" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-162" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-163" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-164" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-165" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.045em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-14" type="math/tex">r(id,a_1,\ldots,a_n)</script> instead of the semicolon notation <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-15-Frame" class="MathJax"><nobr><span id="MathJax-Span-166" class="math"><span style="display: inline-block; position: relative; width: 107px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.922em, -0.481em); top: -2.57em; left: 0em;"><span id="MathJax-Span-167" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-168" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-169" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-170" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-171" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-172" class="mo">;</span><span style="padding-left: 0.188em;" id="MathJax-Span-173" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-174" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-175" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-176" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-177" class="mo">…</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-178" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-179" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-180" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-181" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-182" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.045em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-15" type="math/tex">r(id;a_1,\ldots,a_n)</script>.
 </p>
-<p>Each parameter is either an identifier, a constant (e.g. a time or other literal value in an attribute list), or a null symbol "-".  Null symbols can only appear in the specified arguments in <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-16-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-183"><span style="display: inline-block; position: relative; width: 151px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-184"><span class="mi" id="MathJax-Span-185" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-186" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-187" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-188" style="font-family: STIXGeneral-Italic;">A</span><span class="mi" id="MathJax-Span-189" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-190" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-191" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-192" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-193" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-194" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-195" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-196" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-197" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-198" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mi" id="MathJax-Span-199" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-200" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-201" style="font-family: STIXGeneral-Italic;">h</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.6px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-16">wasAssociatedWith</script> and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-17-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-202"><span style="display: inline-block; position: relative; width: 135px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-203"><span class="mi" id="MathJax-Span-204" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-205" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-206" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-207" style="font-family: STIXGeneral-Italic;">D</span><span class="mi" id="MathJax-Span-208" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-209" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-210" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-211" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-212" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-213" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-214" style="font-family: STIXGeneral-Italic;">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.7px;"></span></span><span class="mi" id="MathJax-Span-215" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-216" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-217" style="font-family: STIXGeneral-Italic;">m</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.6px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-17">wasDerivedFrom</script>, as shown in the grammar below.
+<p>Each parameter is either an identifier, a constant (e.g. a time or other literal value in an attribute list), or a null symbol "-".  Null symbols can only appear in the specified arguments in <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-16-Frame" class="MathJax"><nobr><span id="MathJax-Span-183" class="math"><span style="display: inline-block; position: relative; width: 135px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.763em, -0.511em); top: -2.57em; left: 0em;"><span id="MathJax-Span-184" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-185" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-186" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-187" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-188" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-189" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-190" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-191" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-192" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-193" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-194" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-195" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-196" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-197" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-198" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-199" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-200" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-201" class="mi">h</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.875em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-16" type="math/tex">wasAssociatedWith</script> and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-17-Frame" class="MathJax"><nobr><span id="MathJax-Span-202" class="math"><span style="display: inline-block; position: relative; width: 121px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.763em, -0.511em); top: -2.57em; left: 0em;"><span id="MathJax-Span-203" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-204" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-205" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-206" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-207" class="mi">D</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-208" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-209" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-210" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-211" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-212" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-213" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-214" class="mi">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.034em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-215" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-216" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-217" class="mi">m</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.875em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-17" type="math/tex">wasDerivedFrom</script>, as shown in the grammar below.
 </p>
-<span class="MathJax_Preview"></span><div class="MathJax_Display" role="textbox" aria-readonly="true" style="text-align: center;"><span class="MathJax" id="MathJax-Element-18-Frame" style=""><nobr><span class="math" id="MathJax-Span-218"><span style="display: inline-block; position: relative; width: 539px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(-389.4px 19360px 461.7px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-219"><span class="mtable" id="MathJax-Span-220" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 532.6px; height: 0px;"><span style="position: absolute; clip: rect(429.9px 19360px 1274.7px -9px); top: -858px; left: 0px;"><span style="display: inline-block; position: relative; width: 143px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.7px); top: -459.9px; right: 0px;"><span class="mtd" id="MathJax-Span-221"><span class="mrow" id="MathJax-Span-222"><span class="mi" id="MathJax-Span-223" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-224" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-225" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-226" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-227" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-228" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-229" style="font-family: STIXGeneral-Regular;">_</span><span class="mi" id="MathJax-Span-230" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-231" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-232" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-233" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-234" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-235" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-236" style="font-family: STIXGeneral-Italic;">a</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(74px 19360px 80px -9px); top: -462.9px; right: 0px;"><span class="mtd" id="MathJax-Span-259"><span class="mrow" id="MathJax-Span-260"></span></span><span style="display: inline-block; width: 0px; height: 77px;"></span></span><span style="position: absolute; clip: rect(74px 19360px 80px -9px); top: -437px; right: 0px;"><span class="mtd" id="MathJax-Span-284"><span class="mrow" id="MathJax-Span-285"></span></span><span style="display: inline-block; width: 0px; height: 77px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.4px); top: -382.1px; right: 0px;"><span class="mtd" id="MathJax-Span-310"><span class="mrow" id="MathJax-Span-311"><span class="mi" id="MathJax-Span-312" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-313" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-314" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-315" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-316" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-317" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-318" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-319" style="font-family: STIXGeneral-Regular;">_</span><span class="mi" id="MathJax-Span-320" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-321" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-322" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-323" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-324" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-325" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-326" style="font-family: STIXGeneral-Italic;">a</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(74px 19360px 80px -9px); top: -385.1px; right: 0px;"><span class="mtd" id="MathJax-Span-350"><span class="mrow" id="MathJax-Span-351"></span></span><span style="display: inline-block; width: 0px; height: 77px;"></span></span><span style="position: absolute; clip: rect(74px 19360px 80px -9px); top: -359.2px; right: 0px;"><span class="mtd" id="MathJax-Span-383"><span class="mrow" id="MathJax-Span-384"></span></span><span style="display: inline-block; width: 0px; height: 77px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.1px); top: -304.3px; right: 0px;"><span class="mtd" id="MathJax-Span-407"><span class="mrow" id="MathJax-Span-408"><span class="mi" id="MathJax-Span-409" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-410" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-411" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-412" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-413" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-414" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-415" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-416" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-417" style="font-family: STIXGeneral-Regular;">_</span><span class="mi" id="MathJax-Span-418" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-419" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-420" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-421" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-422" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-423" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-424" style="font-family: STIXGeneral-Italic;">a</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(74px 19360px 80px -9px); top: -307.3px; right: 0px;"><span class="mtd" id="MathJax-Span-462"><span class="mrow" id="MathJax-Span-463"></span></span><span style="display: inline-block; width: 0px; height: 77px;"></span></span><span style="position: absolute; clip: rect(74px 19360px 80px -9px); top: -282px; right: 0px;"><span class="mtd" id="MathJax-Span-491"><span class="mrow" id="MathJax-Span-492"></span></span><span style="display: inline-block; width: 0px; height: 77px;"></span></span><span style="position: absolute; clip: rect(74px 19360px 80px -9px); top: -256px; right: 0px;"><span class="mtd" id="MathJax-Span-532"><span class="mrow" id="MathJax-Span-533"></span></span><span style="display: inline-block; width: 0px; height: 77px;"></span></span><span style="position: absolute; clip: rect(74px 19360px 80px -9px); top: -230.1px; right: 0px;"><span class="mtd" id="MathJax-Span-573"><span class="mrow" id="MathJax-Span-574"></span></span><span style="display: inline-block; width: 0px; height: 77px;"></span></span><span style="position: absolute; clip: rect(74px 19360px 80px -9px); top: -204.2px; right: 0px;"><span class="mtd" id="MathJax-Span-612"><span class="mrow" id="MathJax-Span-613"></span></span><span style="display: inline-block; width: 0px; height: 77px;"></span></span><span style="position: absolute; clip: rect(74px 19360px 80px -9px); top: -178.3px; right: 0px;"><span class="mtd" id="MathJax-Span-658"><span class="mrow" id="MathJax-Span-659"></span></span><span style="display: inline-block; width: 0px; height: 77px;"></span></span><span style="position: absolute; clip: rect(74px 19360px 80px -9px); top: -152.4px; right: 0px;"><span class="mtd" id="MathJax-Span-703"><span class="mrow" id="MathJax-Span-704"></span></span><span style="display: inline-block; width: 0px; height: 77px;"></span></span><span style="position: absolute; clip: rect(74px 19360px 80px -9px); top: -126.4px; right: 0px;"><span class="mtd" id="MathJax-Span-742"><span class="mrow" id="MathJax-Span-743"></span></span><span style="display: inline-block; width: 0px; height: 77px;"></span></span><span style="position: absolute; clip: rect(74px 19360px 80px -9px); top: -99.8px; right: 0px;"><span class="mtd" id="MathJax-Span-790"><span class="mrow" id="MathJax-Span-791"></span></span><span style="display: inline-block; width: 0px; height: 77px;"></span></span><span style="position: absolute; clip: rect(74px 19360px 80px -9px); top: -73.9px; right: 0px;"><span class="mtd" id="MathJax-Span-830"><span class="mrow" id="MathJax-Span-831"></span></span><span style="display: inline-block; width: 0px; height: 77px;"></span></span><span style="position: absolute; clip: rect(74px 19360px 80px -9px); top: -48px; right: 0px;"><span class="mtd" id="MathJax-Span-879"><span class="mrow" id="MathJax-Span-880"></span></span><span style="display: inline-block; width: 0px; height: 77px;"></span></span><span style="position: absolute; clip: rect(74px 19360px 80px -9px); top: -22.6px; right: 0px;"><span class="mtd" id="MathJax-Span-926"><span class="mrow" id="MathJax-Span-927"></span></span><span style="display: inline-block; width: 0px; height: 77px;"></span></span><span style="position: absolute; clip: rect(74px 19360px 80px -9px); top: 3.3px; right: 0px;"><span class="mtd" id="MathJax-Span-964"><span class="mrow" id="MathJax-Span-965"></span></span><span style="display: inline-block; width: 0px; height: 77px;"></span></span><span style="position: absolute; clip: rect(74px 19360px 80px -9px); top: 29.3px; right: 0px;"><span class="mtd" id="MathJax-Span-993"><span class="mrow" id="MathJax-Span-994"></span></span><span style="display: inline-block; width: 0px; height: 77px;"></span></span><span style="position: absolute; clip: rect(74px 19360px 80px -9px); top: 55.2px; right: 0px;"><span class="mtd" id="MathJax-Span-1027"><span class="mrow" id="MathJax-Span-1028"></span></span><span style="display: inline-block; width: 0px; height: 77px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.7px); top: 109.6px; right: 0px;"><span class="mtd" id="MathJax-Span-1050"><span class="mrow" id="MathJax-Span-1051"><span class="mi" id="MathJax-Span-1052" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-1053" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-1054" style="font-family: STIXGeneral-Italic;">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.1px;"></span></span><span class="mi" id="MathJax-Span-1055" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-1056" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-1057" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-1058" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-1059" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-1060" style="font-family: STIXGeneral-Italic;">y</span><span class="mi" id="MathJax-Span-1061" style="font-family: STIXGeneral-Regular;">_</span><span class="mi" id="MathJax-Span-1062" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-1063" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-1064" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-1065" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-1066" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-1067" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-1068" style="font-family: STIXGeneral-Italic;">a</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(74px 19360px 80px -9px); top: 106.4px; right: 0px;"><span class="mtd" id="MathJax-Span-1079"><span class="mrow" id="MathJax-Span-1080"></span></span><span style="display: inline-block; width: 0px; height: 77px;"></span></span><span style="position: absolute; clip: rect(74px 19360px 80px -9px); top: 132.2px; right: 0px;"><span class="mtd" id="MathJax-Span-1091"><span class="mrow" id="MathJax-Span-1092"></span></span><span style="display: inline-block; width: 0px; height: 77px;"></span></span><span style="position: absolute; clip: rect(74px 19360px 80px -9px); top: 158.1px; right: 0px;"><span class="mtd" id="MathJax-Span-1103"><span class="mrow" id="MathJax-Span-1104"></span></span><span style="display: inline-block; width: 0px; height: 77px;"></span></span><span style="position: absolute; clip: rect(74px 19360px 80px -9px); top: 183.4px; right: 0px;"><span class="mtd" id="MathJax-Span-1122"><span class="mrow" id="MathJax-Span-1123"></span></span><span style="display: inline-block; width: 0px; height: 77px;"></span></span><span style="position: absolute; clip: rect(34.4px 19360px 51.3px -8.7px); top: 237.9px; right: 0px;"><span class="mtd" id="MathJax-Span-1143"><span class="mrow" id="MathJax-Span-1144"><span class="mi" id="MathJax-Span-1145" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-1146" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-1147" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-1148" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-1149" style="font-family: STIXGeneral-Italic;">s</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(34.4px 19360px 55px -8.3px); top: 262.3px; right: 0px;"><span class="mtd" id="MathJax-Span-1180"><span class="mrow" id="MathJax-Span-1181"><span class="mi" id="MathJax-Span-1182" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-1183" style="font-family: STIXGeneral-Italic;">y</span></span></span><span style="display: inline-block; 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width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.9px 19360px 51.3px -7.7px); top: -330.2px; left: 50%; margin-left: -2.5px;"><span class="mtd" id="MathJax-Span-385"><span class="mrow" id="MathJax-Span-386"><span class="texatom" id="MathJax-Span-387"><span class="mrow" id="MathJax-Span-388"><span class="mo" id="MathJax-Span-389" style="font-family: STIXGeneral-Regular;">|</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(36.1px 19360px 51.2px -7.4px); top: -304.3px; left: 50%; margin-left: -12px;"><span class="mtd" id="MathJax-Span-425"><span class="mrow" id="MathJax-Span-426"><span class="texatom" id="MathJax-Span-427"><span class="mrow" id="MathJax-Span-428"><span class="mo" id="MathJax-Span-429" style="font-family: STIXGeneral-Regular;">:<span style="font-family: STIXGeneral-Regular; font-style: normal; font-weight: normal;">:</span><span style="font-family: STIXGeneral-Regular; 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clip: rect(31.9px 19360px 51.3px -7.7px); top: -175.2px; left: 50%; margin-left: -2.5px;"><span class="mtd" id="MathJax-Span-614"><span class="mrow" id="MathJax-Span-615"><span class="texatom" id="MathJax-Span-616"><span class="mrow" id="MathJax-Span-617"><span class="mo" id="MathJax-Span-618" style="font-family: STIXGeneral-Regular;">|</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.9px 19360px 51.3px -7.7px); top: -149.3px; left: 50%; margin-left: -2.5px;"><span class="mtd" id="MathJax-Span-660"><span class="mrow" id="MathJax-Span-661"><span class="texatom" id="MathJax-Span-662"><span class="mrow" id="MathJax-Span-663"><span class="mo" id="MathJax-Span-664" style="font-family: STIXGeneral-Regular;">|</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.9px 19360px 51.3px -7.7px); top: -123.4px; left: 50%; margin-left: -2.5px;"><span class="mtd" id="MathJax-Span-705"><span class="mrow" id="MathJax-Span-706"><span class="texatom" id="MathJax-Span-707"><span class="mrow" id="MathJax-Span-708"><span class="mo" id="MathJax-Span-709" style="font-family: STIXGeneral-Regular;">|</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.9px 19360px 51.3px -7.7px); top: -97.4px; left: 50%; margin-left: -2.5px;"><span class="mtd" id="MathJax-Span-744"><span class="mrow" id="MathJax-Span-745"><span class="texatom" id="MathJax-Span-746"><span class="mrow" id="MathJax-Span-747"><span class="mo" id="MathJax-Span-748" style="font-family: STIXGeneral-Regular;">|</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.9px 19360px 51.3px -7.7px); top: -70.8px; left: 50%; margin-left: -2.5px;"><span class="mtd" id="MathJax-Span-792"><span class="mrow" id="MathJax-Span-793"><span class="texatom" id="MathJax-Span-794"><span class="mrow" id="MathJax-Span-795"><span class="mo" id="MathJax-Span-796" style="font-family: STIXGeneral-Regular;">|</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.9px 19360px 51.3px -7.7px); top: -44.9px; left: 50%; margin-left: -2.5px;"><span class="mtd" id="MathJax-Span-832"><span class="mrow" id="MathJax-Span-833"><span class="texatom" id="MathJax-Span-834"><span class="mrow" id="MathJax-Span-835"><span class="mo" id="MathJax-Span-836" style="font-family: STIXGeneral-Regular;">|</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.9px 19360px 51.3px -7.7px); top: -19px; left: 50%; margin-left: -2.5px;"><span class="mtd" id="MathJax-Span-881"><span class="mrow" id="MathJax-Span-882"><span class="texatom" id="MathJax-Span-883"><span class="mrow" id="MathJax-Span-884"><span class="mo" id="MathJax-Span-885" style="font-family: STIXGeneral-Regular;">|</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.9px 19360px 51.3px -7.7px); top: 6.4px; left: 50%; margin-left: -2.5px;"><span class="mtd" id="MathJax-Span-928"><span class="mrow" id="MathJax-Span-929"><span class="texatom" id="MathJax-Span-930"><span class="mrow" id="MathJax-Span-931"><span class="mo" id="MathJax-Span-932" style="font-family: STIXGeneral-Regular;">|</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.9px 19360px 51.3px -7.7px); top: 32.3px; left: 50%; margin-left: -2.5px;"><span class="mtd" id="MathJax-Span-966"><span class="mrow" id="MathJax-Span-967"><span class="texatom" id="MathJax-Span-968"><span class="mrow" id="MathJax-Span-969"><span class="mo" id="MathJax-Span-970" style="font-family: STIXGeneral-Regular;">|</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.9px 19360px 51.3px -7.7px); top: 58.3px; left: 50%; margin-left: -2.5px;"><span class="mtd" id="MathJax-Span-995"><span class="mrow" id="MathJax-Span-996"><span class="texatom" id="MathJax-Span-997"><span class="mrow" id="MathJax-Span-998"><span class="mo" id="MathJax-Span-999" style="font-family: STIXGeneral-Regular;">|</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.9px 19360px 51.3px -7.7px); top: 84.2px; left: 50%; margin-left: -2.5px;"><span class="mtd" id="MathJax-Span-1029"><span class="mrow" id="MathJax-Span-1030"><span class="texatom" id="MathJax-Span-1031"><span class="mrow" id="MathJax-Span-1032"><span class="mo" id="MathJax-Span-1033" style="font-family: STIXGeneral-Regular;">|</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(36.1px 19360px 51.2px -7.4px); top: 109.6px; left: 50%; margin-left: -12px;"><span class="mtd" id="MathJax-Span-1069"><span class="mrow" id="MathJax-Span-1070"><span class="texatom" id="MathJax-Span-1071"><span class="mrow" id="MathJax-Span-1072"><span class="mo" id="MathJax-Span-1073" style="font-family: STIXGeneral-Regular;">:<span style="font-family: STIXGeneral-Regular; 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width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.9px 19360px 51.3px -7.7px); top: 187.1px; left: 50%; margin-left: -2.5px;"><span class="mtd" id="MathJax-Span-1105"><span class="mrow" id="MathJax-Span-1106"><span class="texatom" id="MathJax-Span-1107"><span class="mrow" id="MathJax-Span-1108"><span class="mo" id="MathJax-Span-1109" style="font-family: STIXGeneral-Regular;">|</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.9px 19360px 51.3px -7.7px); top: 212.4px; left: 50%; margin-left: -2.5px;"><span class="mtd" id="MathJax-Span-1124"><span class="mrow" id="MathJax-Span-1125"><span class="texatom" id="MathJax-Span-1126"><span class="mrow" id="MathJax-Span-1127"><span class="mo" id="MathJax-Span-1128" style="font-family: STIXGeneral-Regular;">|</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(36.1px 19360px 51.2px -7.4px); top: 237.9px; left: 50%; margin-left: -12px;"><span class="mtd" id="MathJax-Span-1150"><span class="mrow" id="MathJax-Span-1151"><span class="mo" id="MathJax-Span-1152" style="font-family: STIXGeneral-Regular;">:<span style="font-family: STIXGeneral-Regular; font-style: normal; font-weight: normal;">:</span><span style="font-family: STIXGeneral-Regular; font-style: normal; font-weight: normal;">=</span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(36.1px 19360px 51.2px -7.4px); top: 262.3px; left: 50%; margin-left: -12px;"><span class="mtd" id="MathJax-Span-1184"><span class="mrow" id="MathJax-Span-1185"><span class="texatom" id="MathJax-Span-1186"><span class="mrow" id="MathJax-Span-1187"><span class="mo" id="MathJax-Span-1188" style="font-family: STIXGeneral-Regular;">:<span style="font-family: STIXGeneral-Regular; font-style: normal; font-weight: normal;">:</span><span style="font-family: STIXGeneral-Regular; 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font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-988" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-989" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-990" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-991" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-992" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; 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 \begin{array}{rcl}
   atomic\_formula & {::=}& element\_formula\\
           & | & relation\_formula\\
@@ -1201,8 +1201,8 @@
 <h3><span class="secno">2.5 </span>First-Order Formulas</h3>
 
 <p>We also consider the usual connectives and quantifiers of
-first-order logic [<cite><a class="bibref" href="#bib-Logic">Logic</a></cite>].
-<span class="MathJax_Preview"></span><div class="MathJax_Display" role="textbox" aria-readonly="true" style="text-align: center;"><span class="MathJax" id="MathJax-Element-19-Frame" style=""><nobr><span class="math" id="MathJax-Span-1281"><span style="display: inline-block; position: relative; width: 213px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(-78.5px 19360px 150.8px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-1282"><span class="mtable" id="MathJax-Span-1283" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 206.6px; height: 0px;"><span style="position: absolute; clip: rect(118.8px 19360px 341.8px -9px); top: -236px; left: 0px;"><span style="display: inline-block; position: relative; width: 12px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.5px); top: -149px; right: 0px;"><span class="mtd" id="MathJax-Span-1284"><span class="mrow" id="MathJax-Span-1285"><span class="mi" id="MathJax-Span-1286" style="font-family: STIXGeneral-Italic;">ϕ</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(74px 19360px 80px -9px); top: -152.2px; right: 0px;"><span class="mtd" id="MathJax-Span-1308"><span class="mrow" id="MathJax-Span-1309"></span></span><span style="display: inline-block; width: 0px; height: 77px;"></span></span><span style="position: absolute; clip: rect(74px 19360px 80px -9px); top: -129px; right: 0px;"><span class="mtd" id="MathJax-Span-1321"><span class="mrow" id="MathJax-Span-1322"></span></span><span style="display: inline-block; width: 0px; height: 77px;"></span></span><span style="position: absolute; clip: rect(74px 19360px 80px -9px); top: -105.7px; right: 0px;"><span class="mtd" id="MathJax-Span-1335"><span class="mrow" id="MathJax-Span-1336"></span></span><span style="display: inline-block; width: 0px; height: 77px;"></span></span><span style="position: absolute; clip: rect(74px 19360px 80px -9px); top: -79.8px; right: 0px;"><span class="mtd" id="MathJax-Span-1347"><span class="mrow" id="MathJax-Span-1348"></span></span><span style="display: inline-block; width: 0px; height: 77px;"></span></span><span style="position: absolute; clip: rect(74px 19360px 80px -9px); top: -53.2px; right: 0px;"><span class="mtd" id="MathJax-Span-1363"><span class="mrow" id="MathJax-Span-1364"></span></span><span style="display: inline-block; width: 0px; height: 77px;"></span></span><span style="position: absolute; clip: rect(74px 19360px 80px -9px); top: -26.7px; right: 0px;"><span class="mtd" id="MathJax-Span-1379"><span class="mrow" id="MathJax-Span-1380"></span></span><span style="display: inline-block; width: 0px; height: 77px;"></span></span><span style="position: absolute; clip: rect(74px 19360px 80px -9px); top: -0.1px; right: 0px;"><span class="mtd" id="MathJax-Span-1395"><span class="mrow" id="MathJax-Span-1396"></span></span><span style="display: inline-block; width: 0px; height: 77px;"></span></span><span style="position: absolute; clip: rect(74px 19360px 80px -9px); top: 25.8px; right: 0px;"><span class="mtd" id="MathJax-Span-1408"><span class="mrow" id="MathJax-Span-1409"></span></span><span style="display: inline-block; width: 0px; height: 77px;"></span></span></span><span style="display: inline-block; width: 0px; height: 236px;"></span></span><span style="position: absolute; clip: rect(119.1px 19360px 338.1px -7.7px); top: -232px; left: 33.8px;"><span style="display: inline-block; position: relative; width: 24px; height: 0px;"><span style="position: absolute; clip: rect(36.1px 19360px 51.2px -7.4px); top: -149px; left: 50%; margin-left: -12px;"><span class="mtd" id="MathJax-Span-1287"><span class="mrow" id="MathJax-Span-1288"><span class="texatom" id="MathJax-Span-1289"><span class="mrow" id="MathJax-Span-1290"><span class="mo" id="MathJax-Span-1291" style="font-family: STIXGeneral-Regular;">:<span style="font-family: STIXGeneral-Regular; font-style: normal; font-weight: normal;">:</span><span style="font-family: STIXGeneral-Regular; font-style: normal; font-weight: normal;">=</span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.9px 19360px 51.3px -7.7px); top: -123.2px; left: 50%; margin-left: -2.5px;"><span class="mtd" id="MathJax-Span-1310"><span class="mrow" id="MathJax-Span-1311"><span class="texatom" id="MathJax-Span-1312"><span class="mrow" id="MathJax-Span-1313"><span class="mo" id="MathJax-Span-1314" style="font-family: STIXGeneral-Regular;">|</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.9px 19360px 51.3px -7.7px); top: -100px; left: 50%; margin-left: -2.5px;"><span class="mtd" id="MathJax-Span-1323"><span class="mrow" id="MathJax-Span-1324"><span class="texatom" id="MathJax-Span-1325"><span class="mrow" id="MathJax-Span-1326"><span class="mo" id="MathJax-Span-1327" style="font-family: STIXGeneral-Regular;">|</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.9px 19360px 51.3px -7.7px); top: -76.7px; left: 50%; margin-left: -2.5px;"><span class="mtd" id="MathJax-Span-1337"><span class="mrow" id="MathJax-Span-1338"><span class="texatom" id="MathJax-Span-1339"><span class="mrow" id="MathJax-Span-1340"><span class="mo" id="MathJax-Span-1341" style="font-family: STIXGeneral-Regular;">|</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.9px 19360px 51.3px -7.7px); top: -50.8px; left: 50%; margin-left: -2.5px;"><span class="mtd" id="MathJax-Span-1349"><span class="mrow" id="MathJax-Span-1350"><span class="texatom" id="MathJax-Span-1351"><span class="mrow" id="MathJax-Span-1352"><span class="mo" id="MathJax-Span-1353" style="font-family: STIXGeneral-Regular;">|</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.9px 19360px 51.3px -7.7px); top: -24.2px; left: 50%; margin-left: -2.5px;"><span class="mtd" id="MathJax-Span-1365"><span class="mrow" id="MathJax-Span-1366"><span class="texatom" id="MathJax-Span-1367"><span class="mrow" id="MathJax-Span-1368"><span class="mo" id="MathJax-Span-1369" style="font-family: STIXGeneral-Regular;">|</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.9px 19360px 51.3px -7.7px); top: 2.3px; left: 50%; margin-left: -2.5px;"><span class="mtd" id="MathJax-Span-1381"><span class="mrow" id="MathJax-Span-1382"><span class="texatom" id="MathJax-Span-1383"><span class="mrow" id="MathJax-Span-1384"><span class="mo" id="MathJax-Span-1385" style="font-family: STIXGeneral-Regular;">|</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.9px 19360px 51.3px -7.7px); top: 28.9px; left: 50%; margin-left: -2.5px;"><span class="mtd" id="MathJax-Span-1397"><span class="mrow" id="MathJax-Span-1398"><span class="texatom" id="MathJax-Span-1399"><span class="mrow" id="MathJax-Span-1400"><span class="mo" id="MathJax-Span-1401" style="font-family: STIXGeneral-Regular;">|</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.9px 19360px 51.3px -7.7px); top: 54.8px; left: 50%; margin-left: -2.5px;"><span class="mtd" id="MathJax-Span-1410"><span class="mrow" id="MathJax-Span-1411"><span class="texatom" id="MathJax-Span-1412"><span class="mrow" id="MathJax-Span-1413"><span class="mo" id="MathJax-Span-1414" style="font-family: STIXGeneral-Regular;">|</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="display: inline-block; width: 0px; height: 232px;"></span></span><span style="position: absolute; clip: rect(122.8px 19360px 349.8px -9px); top: -240px; left: 79.6px;"><span style="display: inline-block; position: relative; width: 127px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.7px); top: -149px; left: 0px;"><span class="mtd" id="MathJax-Span-1292"><span class="mrow" id="MathJax-Span-1293"><span class="mi" id="MathJax-Span-1294" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-1295" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-1296" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-1297" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-1298" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-1299" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-1300" style="font-family: STIXGeneral-Regular;">_</span><span class="mi" id="MathJax-Span-1301" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-1302" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-1303" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-1304" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-1305" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-1306" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-1307" style="font-family: STIXGeneral-Italic;">a</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.4px 19360px 51.2px -7.9px); top: -123.2px; left: 0px;"><span class="mtd" id="MathJax-Span-1315"><span class="mrow" id="MathJax-Span-1316"><span class="mi" id="MathJax-Span-1317" style="font-family: STIXGeneral-Italic;">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.5px;"></span></span><span class="mi" id="MathJax-Span-1318" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-1319" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-1320" style="font-family: STIXGeneral-Italic;">e</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.8px); top: -100px; left: 0px;"><span class="mtd" id="MathJax-Span-1328"><span class="mrow" id="MathJax-Span-1329"><span class="mi" id="MathJax-Span-1330" style="font-family: STIXGeneral-Italic;">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.7px;"></span></span><span class="mi" id="MathJax-Span-1331" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-1332" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-1333" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-1334" style="font-family: STIXGeneral-Italic;">e</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.1px); top: -76.7px; left: 0px;"><span class="mtd" id="MathJax-Span-1342"><span class="mrow" id="MathJax-Span-1343"><span class="mi" id="MathJax-Span-1344" style="font-family: STIXGeneral-Regular;">¬</span><span class="mtext" id="MathJax-Span-1345" style="font-family: STIXGeneral-Regular;">&nbsp;</span><span class="mi" id="MathJax-Span-1346" style="font-family: STIXGeneral-Italic;">ϕ</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55.7px -8.5px); top: -50.8px; left: 0px;"><span class="mtd" id="MathJax-Span-1354"><span class="mrow" id="MathJax-Span-1355"><span class="msubsup" id="MathJax-Span-1356"><span style="display: inline-block; position: relative; width: 20.5px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.5px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-1357" style="font-family: STIXGeneral-Italic;">ϕ</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 12px;"><span class="mn" id="MathJax-Span-1358" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-1359" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="msubsup" id="MathJax-Span-1360" style="padding-left: 4.8px;"><span style="display: inline-block; position: relative; width: 20.5px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.5px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-1361" style="font-family: STIXGeneral-Italic;">ϕ</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 12px;"><span class="mn" id="MathJax-Span-1362" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55.7px -8.5px); top: -24.2px; left: 0px;"><span class="mtd" id="MathJax-Span-1370"><span class="mrow" id="MathJax-Span-1371"><span class="msubsup" id="MathJax-Span-1372"><span style="display: inline-block; position: relative; width: 20.5px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.5px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-1373" style="font-family: STIXGeneral-Italic;">ϕ</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 12px;"><span class="mn" id="MathJax-Span-1374" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-1375" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∨</span><span class="msubsup" id="MathJax-Span-1376" style="padding-left: 4.8px;"><span style="display: inline-block; position: relative; width: 20.5px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.5px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-1377" style="font-family: STIXGeneral-Italic;">ϕ</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 12px;"><span class="mn" id="MathJax-Span-1378" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.8px 19360px 56.7px -8.5px); top: 1.3px; left: 0px;"><span class="mtd" id="MathJax-Span-1386"><span class="mrow" id="MathJax-Span-1387"><span class="msubsup" id="MathJax-Span-1388"><span style="display: inline-block; position: relative; width: 20.5px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.5px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-1389" style="font-family: STIXGeneral-Italic;">ϕ</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 12px;"><span class="mn" id="MathJax-Span-1390" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-1391" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⇒</span><span class="msubsup" id="MathJax-Span-1392" style="padding-left: 6px;"><span style="display: inline-block; position: relative; width: 20.5px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.5px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-1393" style="font-family: STIXGeneral-Italic;">ϕ</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 12px;"><span class="mn" id="MathJax-Span-1394" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: 28.9px; left: 0px;"><span class="mtd" id="MathJax-Span-1402"><span class="mrow" id="MathJax-Span-1403"><span class="mi" id="MathJax-Span-1404" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-1405" style="font-family: STIXGeneral-Italic;">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.1px;"></span></span><span class="mo" id="MathJax-Span-1406" style="font-family: STIXGeneral-Regular;">.</span><span class="mi" id="MathJax-Span-1407" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ϕ</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.6px); top: 54.8px; left: 0px;"><span class="mtd" id="MathJax-Span-1415"><span class="mrow" id="MathJax-Span-1416"><span class="mi" id="MathJax-Span-1417" style="font-family: STIXGeneral-Regular;">∃</span><span class="mi" id="MathJax-Span-1418" style="font-family: STIXGeneral-Italic;">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.1px;"></span></span><span class="mo" id="MathJax-Span-1419" style="font-family: STIXGeneral-Regular;">.</span><span class="mi" id="MathJax-Span-1420" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ϕ</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="display: inline-block; width: 0px; height: 240px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 225.3px; vertical-align: -107.8px;"></span></span></nobr></span></div><script type="math/tex; mode=display" id="MathJax-Element-19">
+first-order logic [<cite><a href="#bib-Logic" class="bibref">Logic</a></cite>].
+<span class="MathJax_Preview"></span><div style="text-align: center;" aria-readonly="true" role="textbox" class="MathJax_Display"><span style="" id="MathJax-Element-19-Frame" class="MathJax"><nobr><span id="MathJax-Span-1281" class="math"><span style="display: inline-block; position: relative; width: 190px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(-4.148em, 1000em, 7.737em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-1282" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-1283" class="mtable"><span style="display: inline-block; position: relative; width: 10.778em; height: 0px;"><span style="position: absolute; clip: rect(6.133em, 1000em, 17.695em, -0.526em); top: -12.208em; left: 0em;"><span style="display: inline-block; position: relative; width: 0.643em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.499em); top: -7.787em; right: 0em;"><span id="MathJax-Span-1284" class="mtd"><span id="MathJax-Span-1285" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1286" class="mi">ϕ</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(3.797em, 1000em, 4.147em, -0.526em); top: -7.856em; right: 0em;"><span id="MathJax-Span-1308" class="mtd"><span id="MathJax-Span-1309" class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.972em;"></span></span><span style="position: absolute; clip: rect(3.797em, 1000em, 4.147em, -0.526em); top: -6.656em; right: 0em;"><span id="MathJax-Span-1321" class="mtd"><span id="MathJax-Span-1322" class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.972em;"></span></span><span style="position: absolute; clip: rect(3.797em, 1000em, 4.147em, -0.526em); top: -5.456em; right: 0em;"><span id="MathJax-Span-1335" class="mtd"><span id="MathJax-Span-1336" class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.972em;"></span></span><span style="position: absolute; clip: rect(3.797em, 1000em, 4.147em, -0.526em); top: -4.118em; right: 0em;"><span id="MathJax-Span-1347" class="mtd"><span id="MathJax-Span-1348" class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.972em;"></span></span><span style="position: absolute; clip: rect(3.797em, 1000em, 4.147em, -0.526em); top: -2.745em; right: 0em;"><span id="MathJax-Span-1363" class="mtd"><span id="MathJax-Span-1364" class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.972em;"></span></span><span style="position: absolute; clip: rect(3.797em, 1000em, 4.147em, -0.526em); top: -1.371em; right: 0em;"><span id="MathJax-Span-1379" class="mtd"><span id="MathJax-Span-1380" class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.972em;"></span></span><span style="position: absolute; clip: rect(3.797em, 1000em, 4.147em, -0.526em); top: 0.002em; right: 0em;"><span id="MathJax-Span-1395" class="mtd"><span id="MathJax-Span-1396" class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.972em;"></span></span><span style="position: absolute; clip: rect(3.797em, 1000em, 4.147em, -0.526em); top: 1.34em; right: 0em;"><span id="MathJax-Span-1408" class="mtd"><span id="MathJax-Span-1409" class="mrow"></span></span><span style="display: inline-block; width: 0px; height: 3.972em;"></span></span></span><span style="display: inline-block; width: 0px; height: 12.208em;"></span></span><span style="position: absolute; clip: rect(6.123em, 1000em, 17.476em, -0.459em); top: -11.974em; left: 1.768em;"><span style="display: inline-block; position: relative; width: 1.285em; height: 0px;"><span style="position: absolute; clip: rect(1.936em, 1000em, 2.756em, -0.445em); top: -7.787em; left: 50%; margin-left: -0.643em;"><span id="MathJax-Span-1287" class="mtd"><span id="MathJax-Span-1288" class="mrow"><span id="MathJax-Span-1289" class="texatom"><span id="MathJax-Span-1290" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-1291" class="mo">:<span style="font-family: STIXGeneral; font-style: normal; font-weight: normal;">:</span><span style="font-family: STIXGeneral; font-style: normal; font-weight: normal;">=</span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.719em, 1000em, 2.759em, -0.459em); top: -6.454em; left: 50%; margin-left: -0.146em;"><span id="MathJax-Span-1310" class="mtd"><span id="MathJax-Span-1311" class="mrow"><span id="MathJax-Span-1312" class="texatom"><span id="MathJax-Span-1313" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-1314" class="mo">|</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.719em, 1000em, 2.759em, -0.459em); top: -5.254em; left: 50%; margin-left: -0.146em;"><span id="MathJax-Span-1323" class="mtd"><span id="MathJax-Span-1324" class="mrow"><span id="MathJax-Span-1325" class="texatom"><span id="MathJax-Span-1326" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-1327" class="mo">|</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.719em, 1000em, 2.759em, -0.459em); top: -4.054em; left: 50%; margin-left: -0.146em;"><span id="MathJax-Span-1337" class="mtd"><span id="MathJax-Span-1338" class="mrow"><span id="MathJax-Span-1339" class="texatom"><span id="MathJax-Span-1340" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-1341" class="mo">|</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.719em, 1000em, 2.759em, -0.459em); top: -2.716em; left: 50%; margin-left: -0.146em;"><span id="MathJax-Span-1349" class="mtd"><span id="MathJax-Span-1350" class="mrow"><span id="MathJax-Span-1351" class="texatom"><span id="MathJax-Span-1352" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-1353" class="mo">|</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.719em, 1000em, 2.759em, -0.459em); top: -1.343em; left: 50%; margin-left: -0.146em;"><span id="MathJax-Span-1365" class="mtd"><span id="MathJax-Span-1366" class="mrow"><span id="MathJax-Span-1367" class="texatom"><span id="MathJax-Span-1368" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-1369" class="mo">|</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.719em, 1000em, 2.759em, -0.459em); top: 0.031em; left: 50%; margin-left: -0.146em;"><span id="MathJax-Span-1381" class="mtd"><span id="MathJax-Span-1382" class="mrow"><span id="MathJax-Span-1383" class="texatom"><span id="MathJax-Span-1384" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-1385" class="mo">|</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.719em, 1000em, 2.759em, -0.459em); top: 1.404em; left: 50%; margin-left: -0.146em;"><span id="MathJax-Span-1397" class="mtd"><span id="MathJax-Span-1398" class="mrow"><span id="MathJax-Span-1399" class="texatom"><span id="MathJax-Span-1400" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-1401" class="mo">|</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.719em, 1000em, 2.759em, -0.459em); top: 2.742em; left: 50%; margin-left: -0.146em;"><span id="MathJax-Span-1410" class="mtd"><span id="MathJax-Span-1411" class="mrow"><span id="MathJax-Span-1412" class="texatom"><span id="MathJax-Span-1413" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-1414" class="mo">|</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 11.974em;"></span></span><span style="position: absolute; clip: rect(6.366em, 1000em, 18.134em, -0.524em); top: -12.442em; left: 4.178em;"><span style="display: inline-block; position: relative; width: 6.6em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.509em); top: -7.787em; left: 0em;"><span id="MathJax-Span-1292" class="mtd"><span id="MathJax-Span-1293" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1294" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1295" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1296" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1297" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1298" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1299" class="mi">c</span><span style="font-family: STIXGeneral;" id="MathJax-Span-1300" class="mi">_</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1301" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1302" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1303" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1304" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1305" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1306" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1307" class="mi">a</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.742em, 1000em, 2.756em, -0.467em); top: -6.454em; left: 0em;"><span id="MathJax-Span-1315" class="mtd"><span id="MathJax-Span-1316" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1317" class="mi">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.077em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1318" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1319" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1320" class="mi">e</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.518em); top: -5.254em; left: 0em;"><span id="MathJax-Span-1328" class="mtd"><span id="MathJax-Span-1329" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1330" class="mi">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.034em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1331" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1332" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1333" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1334" class="mi">e</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.478em); top: -4.054em; left: 0em;"><span id="MathJax-Span-1342" class="mtd"><span id="MathJax-Span-1343" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-1344" class="mi">¬</span><span style="font-family: STIXGeneral;" id="MathJax-Span-1345" class="mtext">&nbsp;</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1346" class="mi">ϕ</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.986em, -0.499em); top: -2.716em; left: 0em;"><span id="MathJax-Span-1354" class="mtd"><span id="MathJax-Span-1355" class="mrow"><span id="MathJax-Span-1356" class="msubsup"><span style="display: inline-block; position: relative; width: 1.068em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.499em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1357" class="mi">ϕ</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.862em; left: 0.643em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-1358" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-1359" class="mo">∧</span><span style="padding-left: 0.25em;" id="MathJax-Span-1360" class="msubsup"><span style="display: inline-block; position: relative; width: 1.068em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.499em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1361" class="mi">ϕ</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.862em; left: 0.643em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-1362" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.986em, -0.499em); top: -1.343em; left: 0em;"><span id="MathJax-Span-1370" class="mtd"><span id="MathJax-Span-1371" class="mrow"><span id="MathJax-Span-1372" class="msubsup"><span style="display: inline-block; position: relative; width: 1.068em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.499em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1373" class="mi">ϕ</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.862em; left: 0.643em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-1374" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-1375" class="mo">∨</span><span style="padding-left: 0.25em;" id="MathJax-Span-1376" class="msubsup"><span style="display: inline-block; position: relative; width: 1.068em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.499em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1377" class="mi">ϕ</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.862em; left: 0.643em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-1378" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.986em, -0.499em); top: 0.031em; left: 0em;"><span id="MathJax-Span-1386" class="mtd"><span id="MathJax-Span-1387" class="mrow"><span id="MathJax-Span-1388" class="msubsup"><span style="display: inline-block; position: relative; width: 1.068em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.499em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1389" class="mi">ϕ</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.862em; left: 0.643em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-1390" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-1391" class="mo">⇒</span><span style="padding-left: 0.313em;" id="MathJax-Span-1392" class="msubsup"><span style="display: inline-block; position: relative; width: 1.068em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.499em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1393" class="mi">ϕ</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.862em; left: 0.643em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-1394" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.524em); top: 1.404em; left: 0em;"><span id="MathJax-Span-1402" class="mtd"><span id="MathJax-Span-1403" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-1404" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1405" class="mi">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-1406" class="mo">.</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-1407" class="mi">ϕ</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.453em); top: 2.742em; left: 0em;"><span id="MathJax-Span-1415" class="mtd"><span id="MathJax-Span-1416" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-1417" class="mi">∃</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1418" class="mi">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-1419" class="mo">.</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-1420" class="mi">ϕ</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 12.442em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 12.466em; vertical-align: -5.966em;"></span></span></nobr></span></div><script id="MathJax-Element-19" type="math/tex; mode=display">
 \begin{array}{rcl}
   \phi &{::=}& atomic\_formula\\
 & | & True\\
@@ -1243,26 +1243,26 @@
 <div class="note"><div class="note-title"><span>Note</span></div><div class="">TODO: Containment of things / collections? (for hadMember).</div></div>
 <p><em>Things</em> are things in the world.  Each thing has a lifetime during which it exists and attributes whose values can change over time.
 </p>
-<p>To model this, a structure <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-20-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1421"><span style="display: inline-block; position: relative; width: 18px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.4px 19360px 51.3px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1422"><span class="mi" id="MathJax-Span-1423" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-20">W</script> includes:
+<p>To model this, a structure <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-20-Frame" class="MathJax"><nobr><span id="MathJax-Span-1421" class="math"><span style="display: inline-block; position: relative; width: 16px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.742em, 1000em, 2.763em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1422" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1423" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.843em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-20" type="math/tex">W</script> includes:
 </p>
-<div class="component" id="things" data-count="1" data-title="Component 1 (things)"><div class="ruleTitle"><a class="internalDFN" href="#things">Component 1 (things)</a></div><ol>
-  <li> a set <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-21-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1424"><span style="display: inline-block; position: relative; width: 55px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.9px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1425"><span class="mi" id="MathJax-Span-1426" style="font-family: STIXGeneral-Italic;">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.5px;"></span></span><span class="mi" id="MathJax-Span-1427" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-1428" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-1429" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-1430" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-1431" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-21">Things</script> of things</li>
-  <li> a function <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-22-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1432"><span style="display: inline-block; position: relative; width: 230px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.2px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1433"><span class="mi" id="MathJax-Span-1434" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-1435" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-1436" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-1437" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-1438" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-1439" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-1440" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-1441" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-1442" style="font-family: STIXGeneral-Regular; padding-left: 6px;">:</span><span class="mi" id="MathJax-Span-1443" style="font-family: STIXGeneral-Italic; padding-left: 6px;">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.5px;"></span></span><span class="mi" id="MathJax-Span-1444" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-1445" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-1446" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-1447" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-1448" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-1449" style="font-family: STIXGeneral-Regular; padding-left: 6px;">→</span><span class="mi" id="MathJax-Span-1450" style="font-family: STIXGeneral-Italic; padding-left: 6px;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span class="mi" id="MathJax-Span-1451" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-1452" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-1453" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-1454" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-1455" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-1456" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-1457" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-1458" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-22">lifetime : Things \to Intervals</script> from objects to time intervals</li>
-  <li>a function <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-23-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1459"><span style="display: inline-block; position: relative; width: 386px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1460"><span class="mi" id="MathJax-Span-1461" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-1462" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-1463" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-1464" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-1465" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-1466" style="font-family: STIXGeneral-Regular; padding-left: 6px;">:</span><span class="mi" id="MathJax-Span-1467" style="font-family: STIXGeneral-Italic; padding-left: 6px;">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.5px;"></span></span><span class="mi" id="MathJax-Span-1468" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-1469" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-1470" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-1471" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-1472" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-1473" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">×</span><span class="mi" id="MathJax-Span-1474" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">A</span><span class="mi" id="MathJax-Span-1475" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-1476" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-1477" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-1478" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-1479" style="font-family: STIXGeneral-Italic;">b</span><span class="mi" id="MathJax-Span-1480" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-1481" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-1482" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-1483" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-1484" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">×</span><span class="mi" id="MathJax-Span-1485" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.5px;"></span></span><span class="mi" id="MathJax-Span-1486" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-1487" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-1488" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-1489" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-1490" style="font-family: STIXGeneral-Regular; padding-left: 6px;">→</span><span class="mi" id="MathJax-Span-1491" style="font-family: STIXGeneral-Italic; padding-left: 6px;">P</span><span class="mo" id="MathJax-Span-1492" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-1493" style="font-family: STIXGeneral-Italic;">V<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.5px;"></span></span><span class="mi" id="MathJax-Span-1494" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-1495" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-1496" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-1497" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-1498" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-1499" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-23">value : Things \times Attributes \times Times \to P(Values)</script>
+<div data-title="Component 1 (things)" data-count="1" class="component" id="things"><div class="ruleTitle"><a href="#things" class="internalDFN">Component 1 (things)</a></div><ol>
+  <li> a set <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-21-Frame" class="MathJax"><nobr><span id="MathJax-Span-1424" class="math"><span style="display: inline-block; position: relative; width: 48px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.467em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1425" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1426" class="mi">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.077em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1427" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1428" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1429" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1430" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1431" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-21" type="math/tex">Things</script> of things</li>
+  <li> a function <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-22-Frame" class="MathJax"><nobr><span id="MathJax-Span-1432" class="math"><span style="display: inline-block; position: relative; width: 207px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.485em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1433" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1434" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1435" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1436" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1437" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1438" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1439" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1440" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1441" class="mi">e</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-1442" class="mo">:</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-1443" class="mi">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.077em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1444" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1445" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1446" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1447" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1448" class="mi">s</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-1449" class="mo">→</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-1450" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1451" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1452" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1453" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1454" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1455" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1456" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1457" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1458" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-22" type="math/tex">lifetime : Things \to Intervals</script> from objects to time intervals</li>
+  <li>a function <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-23-Frame" class="MathJax"><nobr><span id="MathJax-Span-1459" class="math"><span style="display: inline-block; position: relative; width: 349px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.506em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1460" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1461" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1462" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1463" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1464" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1465" class="mi">e</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-1466" class="mo">:</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-1467" class="mi">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.077em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1468" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1469" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1470" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1471" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1472" class="mi">s</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-1473" class="mo">×</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-1474" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1475" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1476" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1477" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1478" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1479" class="mi">b</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1480" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1481" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1482" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1483" class="mi">s</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-1484" class="mo">×</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-1485" class="mi">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.077em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1486" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1487" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1488" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1489" class="mi">s</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-1490" class="mo">→</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-1491" class="mi">P</span><span style="font-family: STIXGeneral;" id="MathJax-Span-1492" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1493" class="mi">V<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.077em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1494" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1495" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1496" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1497" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1498" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-1499" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-23" type="math/tex">value : Things \times Attributes \times Times \to P(Values)</script>
 </li>
 </ol>
 </div>
 <p>
-The range of <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-24-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1500"><span style="display: inline-block; position: relative; width: 41px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1501"><span class="mi" id="MathJax-Span-1502" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-1503" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-1504" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-1505" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-1506" style="font-family: STIXGeneral-Italic;">e</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.6px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-24">value</script> is the set <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-25-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1507"><span style="display: inline-block; position: relative; width: 78px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 54.4px -9px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1508"><span class="mi" id="MathJax-Span-1509" style="font-family: STIXGeneral-Italic;">P</span><span class="mo" id="MathJax-Span-1510" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-1511" style="font-family: STIXGeneral-Italic;">V<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.5px;"></span></span><span class="mi" id="MathJax-Span-1512" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-1513" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-1514" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-1515" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-1516" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-1517" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.6px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-25">P(Values)</script>, indicating that <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-26-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1518"><span style="display: inline-block; position: relative; width: 41px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1519"><span class="mi" id="MathJax-Span-1520" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-1521" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-1522" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-1523" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-1524" style="font-family: STIXGeneral-Italic;">e</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.6px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-26">value</script>
-is essentially a multi-valued that returns a set of values (possibly empty).    When <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-27-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1525"><span style="display: inline-block; position: relative; width: 128px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(30.9px 19360px 54.4px -8.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1526"><span class="mi" id="MathJax-Span-1527" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-1528" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-1529" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-1530" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-1531" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-1532" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-1533" style="font-family: STIXGeneral-Italic;">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.1px;"></span></span><span class="mo" id="MathJax-Span-1534" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-1535" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-1536" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-1537" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-1538" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-1539" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-1540" style="font-family: STIXVariants; padding-left: 6px;">∅</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.5px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-27">value(x,a,t) =
-\emptyset</script>, we say that attribute <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-28-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1541"><span style="display: inline-block; position: relative; width: 10px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1542"><span class="mi" id="MathJax-Span-1543" style="font-family: STIXGeneral-Italic;">a</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-28">a</script> is undefined for <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-29-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1544"><span style="display: inline-block; position: relative; width: 9px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -9.5px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1545"><span class="mi" id="MathJax-Span-1546" style="font-family: STIXGeneral-Italic;">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.1px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-29">x</script> at time <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-30-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1547"><span style="display: inline-block; position: relative; width: 6px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1548"><span class="mi" id="MathJax-Span-1549" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 12.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-30">t</script>.</p>
+The range of <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-24-Frame" class="MathJax"><nobr><span id="MathJax-Span-1500" class="math"><span style="display: inline-block; position: relative; width: 37px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.763em, -0.506em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1501" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1502" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1503" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1504" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1505" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1506" class="mi">e</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.875em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-24" type="math/tex">value</script> is the set <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-25-Frame" class="MathJax"><nobr><span id="MathJax-Span-1507" class="math"><span style="display: inline-block; position: relative; width: 70px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.922em, -0.526em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1508" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1509" class="mi">P</span><span style="font-family: STIXGeneral;" id="MathJax-Span-1510" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1511" class="mi">V<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.077em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1512" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1513" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1514" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1515" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1516" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-1517" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.045em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-25" type="math/tex">P(Values)</script>, indicating that <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-26-Frame" class="MathJax"><nobr><span id="MathJax-Span-1518" class="math"><span style="display: inline-block; position: relative; width: 37px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.763em, -0.506em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1519" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1520" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1521" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1522" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1523" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1524" class="mi">e</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.875em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-26" type="math/tex">value</script>
+is essentially a multi-valued that returns a set of values (possibly empty).    When <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-27-Frame" class="MathJax"><nobr><span id="MathJax-Span-1525" class="math"><span style="display: inline-block; position: relative; width: 116px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.666em, 1000em, 2.922em, -0.506em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1526" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1527" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1528" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1529" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1530" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1531" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-1532" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1533" class="mi">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-1534" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-1535" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-1536" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-1537" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-1538" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-1539" class="mo">=</span><span style="font-family: STIXVariants; padding-left: 0.313em;" id="MathJax-Span-1540" class="mi">∅</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.094em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-27" type="math/tex">value(x,a,t) =
+\emptyset</script>, we say that attribute <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-28-Frame" class="MathJax"><nobr><span id="MathJax-Span-1541" class="math"><span style="display: inline-block; position: relative; width: 9px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1542" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1543" class="mi">a</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.609em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-28" type="math/tex">a</script> is undefined for <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-29-Frame" class="MathJax"><nobr><span id="MathJax-Span-1544" class="math"><span style="display: inline-block; position: relative; width: 8px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.553em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1545" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1546" class="mi">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.609em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-29" type="math/tex">x</script> at time <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-30-Frame" class="MathJax"><nobr><span id="MathJax-Span-1547" class="math"><span style="display: inline-block; position: relative; width: 5px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1548" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1549" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.721em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-30" type="math/tex">t</script>.</p>
 
 <p>Note that this description does not say what the structure of a
-<span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-31-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1550"><span style="display: inline-block; position: relative; width: 48px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.9px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1551"><span class="mi" id="MathJax-Span-1552" style="font-family: STIXGeneral-Italic;">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.5px;"></span></span><span class="mi" id="MathJax-Span-1553" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-1554" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-1555" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-1556" style="font-family: STIXGeneral-Italic;">g</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-31">Thing</script> is, only how it may be described in terms of its time interval
+<span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-31-Frame" class="MathJax"><nobr><span id="MathJax-Span-1550" class="math"><span style="display: inline-block; position: relative; width: 41px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.467em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1551" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1552" class="mi">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.077em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1553" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1554" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1555" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1556" class="mi">g</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-31" type="math/tex">Thing</script> is, only how it may be described in terms of its time interval
 and attribute values.  An object could just be a record of fixed
 attribute values; it could be a bear; it could be the Royal Society;
-it could be a transcendental number like <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-32-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1557"><span style="display: inline-block; position: relative; width: 11px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.7px 19360px 51.3px -8.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1558"><span class="mi" id="MathJax-Span-1559" style="font-family: STIXGeneral-Italic;">π<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.6px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.6px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-32">\pi</script>.  All that matters from
-our point of view is that we know how to map the <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-33-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1560"><span style="display: inline-block; position: relative; width: 48px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.9px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1561"><span class="mi" id="MathJax-Span-1562" style="font-family: STIXGeneral-Italic;">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.5px;"></span></span><span class="mi" id="MathJax-Span-1563" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-1564" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-1565" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-1566" style="font-family: STIXGeneral-Italic;">g</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-33">Thing</script> to its time interval and attribute mapping.
+it could be a transcendental number like <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-32-Frame" class="MathJax"><nobr><span id="MathJax-Span-1557" class="math"><span style="display: inline-block; position: relative; width: 9px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.967em, 1000em, 2.763em, -0.507em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1558" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1559" class="mi">π<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.032em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.602em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-32" type="math/tex">\pi</script>.  All that matters from
+our point of view is that we know how to map the <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-33-Frame" class="MathJax"><nobr><span id="MathJax-Span-1560" class="math"><span style="display: inline-block; position: relative; width: 41px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.467em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1561" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1562" class="mi">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.077em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1563" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1564" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1565" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1566" class="mi">g</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-33" type="math/tex">Thing</script> to its time interval and attribute mapping.
 </p>
 
 
@@ -1280,19 +1280,19 @@
 To model this, a structure includes:
 </p>
 
-<div class="component" id="objects" data-count="2" data-title="Component 2 (objects)"><div class="ruleTitle"><a class="internalDFN" href="#objects">Component 2 (objects)</a></div>
-  <ol><li> a set <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-34-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1567"><span style="display: inline-block; position: relative; width: 58px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.8px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1568"><span class="mi" id="MathJax-Span-1569" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-1570" style="font-family: STIXGeneral-Italic;">b</span><span class="mi" id="MathJax-Span-1571" style="font-family: STIXGeneral-Italic;">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-1572" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-1573" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-1574" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-1575" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-34">Objects</script> 
-</li><li> a function <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-35-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1576"><span style="display: inline-block; position: relative; width: 233px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.2px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1577"><span class="mi" id="MathJax-Span-1578" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-1579" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-1580" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-1581" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-1582" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-1583" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-1584" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-1585" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-1586" style="font-family: STIXGeneral-Regular; padding-left: 6px;">:</span><span class="mi" id="MathJax-Span-1587" style="font-family: STIXGeneral-Italic; padding-left: 6px;">O</span><span class="mi" id="MathJax-Span-1588" style="font-family: STIXGeneral-Italic;">b</span><span class="mi" id="MathJax-Span-1589" style="font-family: STIXGeneral-Italic;">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-1590" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-1591" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-1592" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-1593" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-1594" style="font-family: STIXGeneral-Regular; padding-left: 6px;">→</span><span class="mi" id="MathJax-Span-1595" style="font-family: STIXGeneral-Italic; padding-left: 6px;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span class="mi" id="MathJax-Span-1596" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-1597" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-1598" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-1599" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-1600" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-1601" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-1602" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-1603" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-35">lifetime : Objects \to Intervals</script> from objects to time intervals
-</li><li> a function <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-36-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1604"><span style="display: inline-block; position: relative; width: 322px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1605"><span class="mi" id="MathJax-Span-1606" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-1607" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-1608" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-1609" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-1610" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-1611" style="font-family: STIXGeneral-Regular; padding-left: 6px;">:</span><span class="mi" id="MathJax-Span-1612" style="font-family: STIXGeneral-Italic; padding-left: 6px;">O</span><span class="mi" id="MathJax-Span-1613" style="font-family: STIXGeneral-Italic;">b</span><span class="mi" id="MathJax-Span-1614" style="font-family: STIXGeneral-Italic;">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-1615" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-1616" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-1617" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-1618" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-1619" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">×</span><span class="mi" id="MathJax-Span-1620" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">A</span><span class="mi" id="MathJax-Span-1621" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-1622" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-1623" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-1624" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-1625" style="font-family: STIXGeneral-Italic;">b</span><span class="mi" id="MathJax-Span-1626" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-1627" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-1628" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-1629" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-1630" style="font-family: STIXGeneral-Regular; padding-left: 6px;">→</span><span class="mi" id="MathJax-Span-1631" style="font-family: STIXGeneral-Italic; padding-left: 6px;">P</span><span class="mo" id="MathJax-Span-1632" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-1633" style="font-family: STIXGeneral-Italic;">V<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.5px;"></span></span><span class="mi" id="MathJax-Span-1634" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-1635" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-1636" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-1637" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-1638" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-1639" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-36">value : Objects \times Attributes \to P(Values)</script>
+<div data-title="Component 2 (objects)" data-count="2" class="component" id="objects"><div class="ruleTitle"><a href="#objects" class="internalDFN">Component 2 (objects)</a></div>
+  <ol><li> a set <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-34-Frame" class="MathJax"><nobr><span id="MathJax-Span-1567" class="math"><span style="display: inline-block; position: relative; width: 53px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.466em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1568" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1569" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1570" class="mi">b</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1571" class="mi">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1572" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1573" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1574" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1575" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-34" type="math/tex">Objects</script> 
+</li><li> a function <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-35-Frame" class="MathJax"><nobr><span id="MathJax-Span-1576" class="math"><span style="display: inline-block; position: relative; width: 212px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.485em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1577" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1578" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1579" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1580" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1581" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1582" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1583" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1584" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1585" class="mi">e</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-1586" class="mo">:</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-1587" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1588" class="mi">b</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1589" class="mi">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1590" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1591" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1592" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1593" class="mi">s</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-1594" class="mo">→</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-1595" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1596" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1597" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1598" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1599" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1600" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1601" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1602" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1603" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-35" type="math/tex">lifetime : Objects \to Intervals</script> from objects to time intervals
+</li><li> a function <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-36-Frame" class="MathJax"><nobr><span id="MathJax-Span-1604" class="math"><span style="display: inline-block; position: relative; width: 291px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.506em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1605" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1606" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1607" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1608" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1609" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1610" class="mi">e</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-1611" class="mo">:</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-1612" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1613" class="mi">b</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1614" class="mi">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1615" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1616" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1617" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1618" class="mi">s</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-1619" class="mo">×</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-1620" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1621" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1622" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1623" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1624" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1625" class="mi">b</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1626" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1627" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1628" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1629" class="mi">s</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-1630" class="mo">→</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-1631" class="mi">P</span><span style="font-family: STIXGeneral;" id="MathJax-Span-1632" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1633" class="mi">V<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.077em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1634" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1635" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1636" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1637" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1638" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-1639" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-36" type="math/tex">value : Objects \times Attributes \to P(Values)</script>
 </li></ol>
 </div>
 
-<p>Intuitively, <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-37-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1640"><span style="display: inline-block; position: relative; width: 79px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.2px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1641"><span class="mi" id="MathJax-Span-1642" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-1643" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-1644" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-1645" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-1646" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-1647" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-1648" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-1649" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-1650" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-1651" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-1652" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-37">lifetime(e)</script> is the time interval during which object
-<span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-38-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1653"><span style="display: inline-block; position: relative; width: 8px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1654"><span class="mi" id="MathJax-Span-1655" style="font-family: STIXGeneral-Italic;">e</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-38">e</script> exists.  The set <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-39-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1656"><span style="display: inline-block; position: relative; width: 79px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 54.4px -8.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1657"><span class="mi" id="MathJax-Span-1658" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-1659" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-1660" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-1661" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-1662" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-1663" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-1664" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-1665" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-1666" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-1667" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.6px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-39">value(e,a)</script> is the set of values of attribute <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-40-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1668"><span style="display: inline-block; position: relative; width: 10px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1669"><span class="mi" id="MathJax-Span-1670" style="font-family: STIXGeneral-Italic;">a</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-40">a</script> during the object's lifetime.
+<p>Intuitively, <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-37-Frame" class="MathJax"><nobr><span id="MathJax-Span-1640" class="math"><span style="display: inline-block; position: relative; width: 73px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.485em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1641" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1642" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1643" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1644" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1645" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1646" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1647" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1648" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1649" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-1650" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1651" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-1652" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-37" type="math/tex">lifetime(e)</script> is the time interval during which object
+<span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-38-Frame" class="MathJax"><nobr><span id="MathJax-Span-1653" class="math"><span style="display: inline-block; position: relative; width: 8px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1654" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1655" class="mi">e</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.609em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-38" type="math/tex">e</script> exists.  The set <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-39-Frame" class="MathJax"><nobr><span id="MathJax-Span-1656" class="math"><span style="display: inline-block; position: relative; width: 72px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.922em, -0.506em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1657" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1658" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1659" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1660" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1661" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1662" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-1663" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1664" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-1665" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-1666" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-1667" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.045em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-39" type="math/tex">value(e,a)</script> is the set of values of attribute <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-40-Frame" class="MathJax"><nobr><span id="MathJax-Span-1668" class="math"><span style="display: inline-block; position: relative; width: 9px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1669" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1670" class="mi">a</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.609em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-40" type="math/tex">a</script> during the object's lifetime.
 </p>
 
-<p>As with <em>Things</em>, the range of <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-41-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1671"><span style="display: inline-block; position: relative; width: 41px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1672"><span class="mi" id="MathJax-Span-1673" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-1674" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-1675" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-1676" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-1677" style="font-family: STIXGeneral-Italic;">e</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.6px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-41">value</script> is sets of values,
-making <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-42-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1678"><span style="display: inline-block; position: relative; width: 41px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1679"><span class="mi" id="MathJax-Span-1680" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-1681" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-1682" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-1683" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-1684" style="font-family: STIXGeneral-Italic;">e</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.6px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-42">value</script> effectively a multivalued function.  It is also possible to have two different objects that are indistinguishable by their attributes and time intervals.  Objects are not things, and the sets of <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-43-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1685"><span style="display: inline-block; position: relative; width: 58px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.8px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1686"><span class="mi" id="MathJax-Span-1687" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-1688" style="font-family: STIXGeneral-Italic;">b</span><span class="mi" id="MathJax-Span-1689" style="font-family: STIXGeneral-Italic;">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-1690" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-1691" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-1692" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-1693" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-43">Objects</script> and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-44-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1694"><span style="display: inline-block; position: relative; width: 55px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.9px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1695"><span class="mi" id="MathJax-Span-1696" style="font-family: STIXGeneral-Italic;">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.5px;"></span></span><span class="mi" id="MathJax-Span-1697" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-1698" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-1699" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-1700" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-1701" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-44">Things</script> are disjoint; however, certain objects, namely entities, are linked to things.
+<p>As with <em>Things</em>, the range of <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-41-Frame" class="MathJax"><nobr><span id="MathJax-Span-1671" class="math"><span style="display: inline-block; position: relative; width: 37px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.763em, -0.506em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1672" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1673" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1674" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1675" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1676" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1677" class="mi">e</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.875em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-41" type="math/tex">value</script> is sets of values,
+making <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-42-Frame" class="MathJax"><nobr><span id="MathJax-Span-1678" class="math"><span style="display: inline-block; position: relative; width: 37px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.763em, -0.506em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1679" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1680" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1681" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1682" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1683" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1684" class="mi">e</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.875em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-42" type="math/tex">value</script> effectively a multivalued function.  It is also possible to have two different objects that are indistinguishable by their attributes and time intervals.  Objects are not things, and the sets of <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-43-Frame" class="MathJax"><nobr><span id="MathJax-Span-1685" class="math"><span style="display: inline-block; position: relative; width: 53px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.466em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1686" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1687" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1688" class="mi">b</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1689" class="mi">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1690" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1691" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1692" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1693" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-43" type="math/tex">Objects</script> and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-44-Frame" class="MathJax"><nobr><span id="MathJax-Span-1694" class="math"><span style="display: inline-block; position: relative; width: 48px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.467em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1695" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1696" class="mi">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.077em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1697" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1698" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1699" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1700" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1701" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-44" type="math/tex">Things</script> are disjoint; however, certain objects, namely entities, are linked to things.
 
 </p>
 <section id="entities-1">
@@ -1300,28 +1300,28 @@
 
 An <em>entity</em> is a kind of object that describes a time-slice of a thing, during which some of the thing's attributes are fixed. We assume:
 
-<div class="component" id="entities" data-count="3" data-title="Component 3 (entities)"><div class="ruleTitle"><a class="internalDFN" href="#entities">Component 3 (entities)</a></div>
-  <ol><li> a set <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-45-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1702"><span style="display: inline-block; position: relative; width: 141px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1703"><span class="mi" id="MathJax-Span-1704" style="font-family: STIXGeneral-Italic;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-1705" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-1706" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-1707" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-1708" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-1709" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-1710" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-1711" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-1712" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊆</span><span class="mi" id="MathJax-Span-1713" style="font-family: STIXGeneral-Italic; padding-left: 6px;">O</span><span class="mi" id="MathJax-Span-1714" style="font-family: STIXGeneral-Italic;">b</span><span class="mi" id="MathJax-Span-1715" style="font-family: STIXGeneral-Italic;">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-1716" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-1717" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-1718" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-1719" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-45">Entities \subseteq Objects</script> of entities, disjoint from <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-46-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1720"><span style="display: inline-block; position: relative; width: 69px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.1px 19360px 51.3px -10px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1721"><span class="mi" id="MathJax-Span-1722" style="font-family: STIXGeneral-Italic;">A</span><span class="mi" id="MathJax-Span-1723" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-1724" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-1725" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-1726" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-1727" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-1728" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-1729" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-1730" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-1731" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.3px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-46">Activities</script> and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-47-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1732"><span style="display: inline-block; position: relative; width: 51px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.4px 19360px 51.3px -9px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1733"><span class="mi" id="MathJax-Span-1734" style="font-family: STIXGeneral-Italic;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-1735" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-1736" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-1737" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-1738" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-1739" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-47">Events</script> below.
-</li><li> a function <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-48-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1740"><span style="display: inline-block; position: relative; width: 224px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.3px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1741"><span class="mi" id="MathJax-Span-1742" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-1743" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-1744" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-1745" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-1746" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-1747" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-1748" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-1749" style="font-family: STIXGeneral-Regular; padding-left: 6px;">:</span><span class="mi" id="MathJax-Span-1750" style="font-family: STIXGeneral-Italic; padding-left: 6px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-1751" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-1752" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-1753" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-1754" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-1755" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-1756" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-1757" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-1758" style="font-family: STIXGeneral-Regular; padding-left: 6px;">→</span><span class="mi" id="MathJax-Span-1759" style="font-family: STIXGeneral-Italic; padding-left: 6px;">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.5px;"></span></span><span class="mi" id="MathJax-Span-1760" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-1761" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-1762" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-1763" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-1764" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-48">thingOf : Entities \to Things</script> that associates each <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-49-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1765"><span style="display: inline-block; position: relative; width: 46px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.3px 19360px 55px -9px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1766"><span class="mi" id="MathJax-Span-1767" style="font-family: STIXGeneral-Italic;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-1768" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-1769" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-1770" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-1771" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-1772" style="font-family: STIXGeneral-Italic;">y</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.6px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-49">Entity</script> with a <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-50-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1773"><span style="display: inline-block; position: relative; width: 48px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.9px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1774"><span class="mi" id="MathJax-Span-1775" style="font-family: STIXGeneral-Italic;">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.5px;"></span></span><span class="mi" id="MathJax-Span-1776" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-1777" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-1778" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-1779" style="font-family: STIXGeneral-Italic;">g</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-50">Thing</script>, such that for each <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-51-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1780"><span style="display: inline-block; position: relative; width: 124px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.3px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1781"><span class="mi" id="MathJax-Span-1782" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-1783" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-1784" style="font-family: STIXGeneral-Italic; padding-left: 6px;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-1785" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-1786" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-1787" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-1788" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-1789" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-1790" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-1791" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-1792" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-1793" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-1794" style="font-family: STIXGeneral-Italic;">b</span><span class="mi" id="MathJax-Span-1795" style="font-family: STIXGeneral-Italic;">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mo" id="MathJax-Span-1796" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-51">t \in lifetime(obj)</script>, and for each attribute <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-52-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1797"><span style="display: inline-block; position: relative; width: 10px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1798"><span class="mi" id="MathJax-Span-1799" style="font-family: STIXGeneral-Italic;">a</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-52">a</script> we have <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-53-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1800"><span style="display: inline-block; position: relative; width: 305px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1801"><span class="mi" id="MathJax-Span-1802" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-1803" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-1804" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-1805" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-1806" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-1807" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-1808" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-1809" style="font-family: STIXGeneral-Italic;">b</span><span class="mi" id="MathJax-Span-1810" style="font-family: STIXGeneral-Italic;">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mo" id="MathJax-Span-1811" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-1812" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-1813" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-1814" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊆</span><span class="mi" id="MathJax-Span-1815" style="font-family: STIXGeneral-Italic; padding-left: 6px;">v</span><span class="mi" id="MathJax-Span-1816" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-1817" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-1818" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-1819" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-1820" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-1821" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-1822" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-1823" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-1824" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-1825" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-1826" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-1827" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-1828" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-1829" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-1830" style="font-family: STIXGeneral-Italic;">b</span><span class="mi" id="MathJax-Span-1831" style="font-family: STIXGeneral-Italic;">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mo" id="MathJax-Span-1832" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-1833" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-1834" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-1835" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-1836" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-1837" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-53">value(obj,a) \subseteq value(thingOf(obj),a,t)</script>.
-</li><li> <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-54-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1838"><span style="display: inline-block; position: relative; width: 179px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.2px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1839"><span class="mi" id="MathJax-Span-1840" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-1841" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-1842" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-1843" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-1844" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-1845" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-1846" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-1847" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-1848" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-1849" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-1850" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-1851" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊆</span><span class="mi" id="MathJax-Span-1852" style="font-family: STIXGeneral-Italic; padding-left: 6px;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-1853" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-1854" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-1855" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-1856" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-1857" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-1858" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-1859" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-1860" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-1861" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-1862" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-54">lifetime(e) \subseteq lifetime(t)</script>.
+<div data-title="Component 3 (entities)" data-count="3" class="component" id="entities"><div class="ruleTitle"><a href="#entities" class="internalDFN">Component 3 (entities)</a></div>
+  <ol><li> a set <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-45-Frame" class="MathJax"><nobr><span id="MathJax-Span-1702" class="math"><span style="display: inline-block; position: relative; width: 128px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.527em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1703" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1704" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1705" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1706" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1707" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1708" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1709" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1710" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1711" class="mi">s</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-1712" class="mo">⊆</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-1713" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1714" class="mi">b</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1715" class="mi">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1716" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1717" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1718" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1719" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-45" type="math/tex">Entities \subseteq Objects</script> of entities, disjoint from <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-46-Frame" class="MathJax"><nobr><span id="MathJax-Span-1720" class="math"><span style="display: inline-block; position: relative; width: 64px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.727em, 1000em, 2.763em, -0.577em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1721" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1722" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1723" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1724" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1725" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1726" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1727" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1728" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1729" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1730" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1731" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.859em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-46" type="math/tex">Activities</script> and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-47-Frame" class="MathJax"><nobr><span id="MathJax-Span-1732" class="math"><span style="display: inline-block; position: relative; width: 46px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.742em, 1000em, 2.763em, -0.527em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1733" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1734" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1735" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1736" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1737" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1738" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1739" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.843em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-47" type="math/tex">Events</script> below.
+</li><li> a function <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-48-Frame" class="MathJax"><nobr><span id="MathJax-Span-1740" class="math"><span style="display: inline-block; position: relative; width: 199px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.488em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1741" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1742" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1743" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1744" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1745" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1746" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1747" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1748" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-1749" class="mo">:</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-1750" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1751" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1752" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1753" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1754" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1755" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1756" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1757" class="mi">s</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-1758" class="mo">→</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-1759" class="mi">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.077em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1760" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1761" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1762" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1763" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1764" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-48" type="math/tex">thingOf : Entities \to Things</script> that associates each <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-49-Frame" class="MathJax"><nobr><span id="MathJax-Span-1765" class="math"><span style="display: inline-block; position: relative; width: 42px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.741em, 1000em, 2.951em, -0.527em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1766" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1767" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1768" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1769" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1770" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1771" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1772" class="mi">y</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.045em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-49" type="math/tex">Entity</script> with a <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-50-Frame" class="MathJax"><nobr><span id="MathJax-Span-1773" class="math"><span style="display: inline-block; position: relative; width: 41px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.467em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1774" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1775" class="mi">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.077em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1776" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1777" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1778" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1779" class="mi">g</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-50" type="math/tex">Thing</script>, such that for each <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-51-Frame" class="MathJax"><nobr><span id="MathJax-Span-1780" class="math"><span style="display: inline-block; position: relative; width: 115px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.488em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1781" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1782" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-1783" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-1784" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1785" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1786" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1787" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1788" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1789" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1790" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1791" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-1792" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1793" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1794" class="mi">b</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1795" class="mi">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-1796" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-51" type="math/tex">t \in lifetime(obj)</script>, and for each attribute <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-52-Frame" class="MathJax"><nobr><span id="MathJax-Span-1797" class="math"><span style="display: inline-block; position: relative; width: 9px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1798" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1799" class="mi">a</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.609em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-52" type="math/tex">a</script> we have <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-53-Frame" class="MathJax"><nobr><span id="MathJax-Span-1800" class="math"><span style="display: inline-block; position: relative; width: 274px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.506em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1801" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1802" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1803" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1804" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1805" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1806" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-1807" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1808" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1809" class="mi">b</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1810" class="mi">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-1811" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-1812" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-1813" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-1814" class="mo">⊆</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-1815" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1816" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1817" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1818" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1819" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-1820" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1821" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1822" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1823" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1824" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1825" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1826" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1827" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-1828" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1829" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1830" class="mi">b</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1831" class="mi">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-1832" class="mo">)</span><span style="font-family: STIXGeneral;" id="MathJax-Span-1833" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-1834" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-1835" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-1836" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-1837" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-53" type="math/tex">value(obj,a) \subseteq value(thingOf(obj),a,t)</script>.
+</li><li> <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-54-Frame" class="MathJax"><nobr><span id="MathJax-Span-1838" class="math"><span style="display: inline-block; position: relative; width: 166px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.485em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1839" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1840" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1841" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1842" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1843" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1844" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1845" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1846" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1847" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-1848" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1849" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-1850" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-1851" class="mo">⊆</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-1852" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1853" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1854" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1855" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1856" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1857" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1858" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1859" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-1860" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1861" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-1862" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-54" type="math/tex">lifetime(e) \subseteq lifetime(t)</script>.
 </li></ol>
 </div>
 
 <div class="remark"><p> Although both entities and things can have
   undefined or multiple attribute values, their meaning is slightly
-  different: for a thing, <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-55-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1863"><span style="display: inline-block; position: relative; width: 128px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(30.9px 19360px 54.4px -8.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1864"><span class="mi" id="MathJax-Span-1865" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-1866" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-1867" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-1868" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-1869" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-1870" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-1871" style="font-family: STIXGeneral-Italic;">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.1px;"></span></span><span class="mo" id="MathJax-Span-1872" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-1873" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-1874" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-1875" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-1876" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-1877" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-1878" style="font-family: STIXVariants; padding-left: 6px;">∅</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.5px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-55">value(x,a,t) = \emptyset</script> means that the
-  attribute <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-56-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1879"><span style="display: inline-block; position: relative; width: 10px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1880"><span class="mi" id="MathJax-Span-1881" style="font-family: STIXGeneral-Italic;">a</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-56">a</script> has no value at time <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-57-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1882"><span style="display: inline-block; position: relative; width: 6px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1883"><span class="mi" id="MathJax-Span-1884" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 12.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-57">t</script>, whereas for an entity,
-  <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-58-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1885"><span style="display: inline-block; position: relative; width: 115px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(30.9px 19360px 54.4px -8.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1886"><span class="mi" id="MathJax-Span-1887" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-1888" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-1889" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-1890" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-1891" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-1892" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-1893" style="font-family: STIXGeneral-Italic;">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.1px;"></span></span><span class="mo" id="MathJax-Span-1894" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-1895" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-1896" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-1897" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-1898" style="font-family: STIXVariants; padding-left: 6px;">∅</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.5px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-58">value(x,a) = \emptyset</script> only means that the entity does not record
-  a fixed value for <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-59-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1899"><span style="display: inline-block; position: relative; width: 10px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1900"><span class="mi" id="MathJax-Span-1901" style="font-family: STIXGeneral-Italic;">a</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-59">a</script> forthe associated thing.  This does not imply
-  that <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-60-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1902"><span style="display: inline-block; position: relative; width: 202px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(30.9px 19360px 55px -8.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1903"><span class="mi" id="MathJax-Span-1904" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-1905" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-1906" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-1907" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-1908" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-1909" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-1910" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-1911" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-1912" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-1913" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-1914" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-1915" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-1916" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-1917" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-1918" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-1919" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-1920" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-1921" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-1922" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-1923" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-1924" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-1925" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-1926" style="font-family: STIXVariants; padding-left: 6px;">∅</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 20.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-60">value(thingOf(e),a,t) = \emptyset</script> when <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-61-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1927"><span style="display: inline-block; position: relative; width: 107px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.3px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1928"><span class="mi" id="MathJax-Span-1929" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-1930" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-1931" style="font-family: STIXGeneral-Italic; padding-left: 6px;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-1932" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-1933" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-1934" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-1935" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-1936" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-1937" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-1938" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-1939" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-1940" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-1941" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-61">t \in lifetime(e)</script>.
+  different: for a thing, <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-55-Frame" class="MathJax"><nobr><span id="MathJax-Span-1863" class="math"><span style="display: inline-block; position: relative; width: 116px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.666em, 1000em, 2.922em, -0.506em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1864" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1865" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1866" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1867" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1868" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1869" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-1870" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1871" class="mi">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-1872" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-1873" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-1874" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-1875" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-1876" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-1877" class="mo">=</span><span style="font-family: STIXVariants; padding-left: 0.313em;" id="MathJax-Span-1878" class="mi">∅</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.094em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-55" type="math/tex">value(x,a,t) = \emptyset</script> means that the
+  attribute <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-56-Frame" class="MathJax"><nobr><span id="MathJax-Span-1879" class="math"><span style="display: inline-block; position: relative; width: 9px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1880" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1881" class="mi">a</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.609em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-56" type="math/tex">a</script> has no value at time <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-57-Frame" class="MathJax"><nobr><span id="MathJax-Span-1882" class="math"><span style="display: inline-block; position: relative; width: 5px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1883" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1884" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.721em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-57" type="math/tex">t</script>, whereas for an entity,
+  <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-58-Frame" class="MathJax"><nobr><span id="MathJax-Span-1885" class="math"><span style="display: inline-block; position: relative; width: 103px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.666em, 1000em, 2.922em, -0.506em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1886" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1887" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1888" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1889" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1890" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1891" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-1892" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1893" class="mi">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-1894" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-1895" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-1896" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-1897" class="mo">=</span><span style="font-family: STIXVariants; padding-left: 0.313em;" id="MathJax-Span-1898" class="mi">∅</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.094em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-58" type="math/tex">value(x,a) = \emptyset</script> only means that the entity does not record
+  a fixed value for <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-59-Frame" class="MathJax"><nobr><span id="MathJax-Span-1899" class="math"><span style="display: inline-block; position: relative; width: 9px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1900" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1901" class="mi">a</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.609em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-59" type="math/tex">a</script> forthe associated thing.  This does not imply
+  that <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-60-Frame" class="MathJax"><nobr><span id="MathJax-Span-1902" class="math"><span style="display: inline-block; position: relative; width: 182px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.666em, 1000em, 2.952em, -0.506em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1903" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1904" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1905" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1906" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1907" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1908" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-1909" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1910" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1911" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1912" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1913" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1914" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1915" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1916" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-1917" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1918" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-1919" class="mo">)</span><span style="font-family: STIXGeneral;" id="MathJax-Span-1920" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-1921" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-1922" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-1923" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-1924" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-1925" class="mo">=</span><span style="font-family: STIXVariants; padding-left: 0.313em;" id="MathJax-Span-1926" class="mi">∅</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.127em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-60" type="math/tex">value(thingOf(e),a,t) = \emptyset</script> when <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-61-Frame" class="MathJax"><nobr><span id="MathJax-Span-1927" class="math"><span style="display: inline-block; position: relative; width: 100px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.488em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1928" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1929" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-1930" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-1931" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1932" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1933" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1934" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1935" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1936" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1937" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1938" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-1939" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1940" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-1941" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-61" type="math/tex">t \in lifetime(e)</script>.
 </p>
   <p>Furthermore, all of the attribute values of the entity must be
   present in the associated thing throughout the lifetime of the entity.
-For example, suppose <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-62-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1942"><span style="display: inline-block; position: relative; width: 167px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1943"><span class="mi" id="MathJax-Span-1944" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-1945" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-1946" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-1947" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-1948" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-1949" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-1950" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-1951" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-1952" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-1953" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-1954" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-1955" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-1956" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-1957" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-1958" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-1959" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-1960" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-1961" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-1962" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-1963" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-1964" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-62">value(thingOf(e),a,t)</script> is <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-63-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1965"><span style="display: inline-block; position: relative; width: 26px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 54.5px -7.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1966"><span class="mo" id="MathJax-Span-1967" style="font-family: STIXGeneral-Regular;">{</span><span class="mn" id="MathJax-Span-1968" style="font-family: STIXGeneral-Regular;">1</span><span class="mo" id="MathJax-Span-1969" style="font-family: STIXGeneral-Regular;">}</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.7px; vertical-align: -4.5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-63">\{1\}</script> at some
-time in <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-64-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1970"><span style="display: inline-block; position: relative; width: 79px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.2px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1971"><span class="mi" id="MathJax-Span-1972" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-1973" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-1974" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-1975" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-1976" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-1977" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-1978" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-1979" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-1980" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-1981" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-1982" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-64">lifetime(e)</script> and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-65-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-1983"><span style="display: inline-block; position: relative; width: 226px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(30.2px 19360px 55px -8.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-1984"><span class="mi" id="MathJax-Span-1985" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-1986" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-1987" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-1988" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-1989" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-1990" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-1991" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-1992" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-1993" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-1994" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-1995" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-1996" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-1997" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-1998" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-1999" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-2000" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-2001" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-2002" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-2003" style="font-family: STIXGeneral-Regular;">,</span><span class="msup" id="MathJax-Span-2004" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 13.5px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-2005" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -49px; left: 7.1px;"><span class="mo" id="MathJax-Span-2006" style="font-size: 70.7%; font-family: STIXVariants;">′</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-2007" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-2008" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mo" id="MathJax-Span-2009" style="font-family: STIXGeneral-Regular; padding-left: 6px;">{</span><span class="mn" id="MathJax-Span-2010" style="font-family: STIXGeneral-Regular;">2</span><span class="mo" id="MathJax-Span-2011" style="font-family: STIXGeneral-Regular;">}</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 20.8px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-65">value(thingOf(e),a,t') = \{2\}</script> at some
-  other time <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-66-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-2012"><span style="display: inline-block; position: relative; width: 14px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(23.2px 19360px 44.2px -8.3px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-2013"><span class="msup" id="MathJax-Span-2014"><span style="display: inline-block; position: relative; width: 13.5px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-2015" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -49px; left: 7.1px;"><span class="mo" id="MathJax-Span-2016" style="font-size: 70.7%; font-family: STIXVariants;">′</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 17px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-66">t'</script>.  Then <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-67-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-2017"><span style="display: inline-block; position: relative; width: 79px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 54.4px -8.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-2018"><span class="mi" id="MathJax-Span-2019" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-2020" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-2021" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-2022" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-2023" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-2024" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-2025" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-2026" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-2027" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-2028" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.6px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-67">value(e,a)</script> must be <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-68-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-2029"><span style="display: inline-block; position: relative; width: 10px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(30.9px 19360px 52.4px -8.5px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-2030"><span class="mi" id="MathJax-Span-2031" style="font-family: STIXVariants;">∅</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 17.5px; vertical-align: -2.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-68">\emptyset</script> because
+For example, suppose <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-62-Frame" class="MathJax"><nobr><span id="MathJax-Span-1942" class="math"><span style="display: inline-block; position: relative; width: 151px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.506em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1943" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1944" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1945" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1946" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1947" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1948" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-1949" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1950" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1951" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1952" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1953" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1954" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1955" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1956" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-1957" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1958" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-1959" class="mo">)</span><span style="font-family: STIXGeneral;" id="MathJax-Span-1960" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-1961" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-1962" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-1963" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-1964" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-62" type="math/tex">value(thingOf(e),a,t)</script> is <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-63-Frame" class="MathJax"><nobr><span id="MathJax-Span-1965" class="math"><span style="display: inline-block; position: relative; width: 22px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.715em, 1000em, 2.926em, -0.426em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1966" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-1967" class="mo">{</span><span style="font-family: STIXGeneral;" id="MathJax-Span-1968" class="mn">1</span><span style="font-family: STIXGeneral;" id="MathJax-Span-1969" class="mo">}</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.046em; vertical-align: -0.256em;"></span></span></nobr></span><script id="MathJax-Element-63" type="math/tex">\{1\}</script> at some
+time in <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-64-Frame" class="MathJax"><nobr><span id="MathJax-Span-1970" class="math"><span style="display: inline-block; position: relative; width: 73px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.485em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1971" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1972" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1973" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1974" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1975" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1976" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1977" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1978" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1979" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-1980" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1981" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-1982" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-64" type="math/tex">lifetime(e)</script> and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-65-Frame" class="MathJax"><nobr><span id="MathJax-Span-1983" class="math"><span style="display: inline-block; position: relative; width: 202px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.632em, 1000em, 2.952em, -0.506em); top: -2.57em; left: 0em;"><span id="MathJax-Span-1984" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1985" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1986" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1987" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1988" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1989" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-1990" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1991" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1992" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1993" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1994" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1995" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1996" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1997" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-1998" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-1999" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2000" class="mo">)</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2001" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-2002" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2003" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-2004" class="msup"><span style="display: inline-block; position: relative; width: 0.656em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2005" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -2.466em; left: 0.347em;"><span style="font-size: 70.7%; font-family: STIXVariants;" id="MathJax-Span-2006" class="mo">′</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-2007" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-2008" class="mo">=</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-2009" class="mo">{</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2010" class="mn">2</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2011" class="mo">}</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.162em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-65" type="math/tex">value(thingOf(e),a,t') = \{2\}</script> at some
+  other time <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-66-Frame" class="MathJax"><nobr><span id="MathJax-Span-2012" class="math"><span style="display: inline-block; position: relative; width: 11px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.107em, 1000em, 2.231em, -0.488em); top: -2.044em; left: 0em;"><span id="MathJax-Span-2013" class="mrow"><span id="MathJax-Span-2014" class="msup"><span style="display: inline-block; position: relative; width: 0.656em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2015" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -2.466em; left: 0.347em;"><span style="font-size: 70.7%; font-family: STIXVariants;" id="MathJax-Span-2016" class="mo">′</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.953em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-66" type="math/tex">t'</script>.  Then <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-67-Frame" class="MathJax"><nobr><span id="MathJax-Span-2017" class="math"><span style="display: inline-block; position: relative; width: 72px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.922em, -0.506em); top: -2.57em; left: 0em;"><span id="MathJax-Span-2018" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2019" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2020" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2021" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2022" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2023" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2024" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2025" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2026" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-2027" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2028" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.045em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-67" type="math/tex">value(e,a)</script> must be <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-68-Frame" class="MathJax"><nobr><span id="MathJax-Span-2029" class="math"><span style="display: inline-block; position: relative; width: 9px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.666em, 1000em, 2.819em, -0.498em); top: -2.57em; left: 0em;"><span id="MathJax-Span-2030" class="mrow"><span style="font-family: STIXVariants;" id="MathJax-Span-2031" class="mi">∅</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.984em; vertical-align: -0.142em;"></span></span></nobr></span><script id="MathJax-Element-68" type="math/tex">\emptyset</script> because
   there is no other set of values that is simultaneously contained in
-  both <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-69-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-2032"><span style="display: inline-block; position: relative; width: 26px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 54.5px -7.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-2033"><span class="mo" id="MathJax-Span-2034" style="font-family: STIXGeneral-Regular;">{</span><span class="mn" id="MathJax-Span-2035" style="font-family: STIXGeneral-Regular;">1</span><span class="mo" id="MathJax-Span-2036" style="font-family: STIXGeneral-Regular;">}</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.7px; vertical-align: -4.5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-69">\{1\}</script> and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-70-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-2037"><span style="display: inline-block; position: relative; width: 26px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 54.5px -7.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-2038"><span class="mo" id="MathJax-Span-2039" style="font-family: STIXGeneral-Regular;">{</span><span class="mn" id="MathJax-Span-2040" style="font-family: STIXGeneral-Regular;">2</span><span class="mo" id="MathJax-Span-2041" style="font-family: STIXGeneral-Regular;">}</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.7px; vertical-align: -4.5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-70">\{2\}</script>.
+  both <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-69-Frame" class="MathJax"><nobr><span id="MathJax-Span-2032" class="math"><span style="display: inline-block; position: relative; width: 22px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.715em, 1000em, 2.926em, -0.426em); top: -2.57em; left: 0em;"><span id="MathJax-Span-2033" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-2034" class="mo">{</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2035" class="mn">1</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2036" class="mo">}</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.046em; vertical-align: -0.256em;"></span></span></nobr></span><script id="MathJax-Element-69" type="math/tex">\{1\}</script> and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-70-Frame" class="MathJax"><nobr><span id="MathJax-Span-2037" class="math"><span style="display: inline-block; position: relative; width: 22px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.715em, 1000em, 2.926em, -0.426em); top: -2.57em; left: 0em;"><span id="MathJax-Span-2038" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-2039" class="mo">{</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2040" class="mn">2</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2041" class="mo">}</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.046em; vertical-align: -0.256em;"></span></span></nobr></span><script id="MathJax-Element-70" type="math/tex">\{2\}</script>.
 </p>
   </div>
 
@@ -1329,8 +1329,8 @@
 <h5><span class="secno">3.2.1.1 </span> Plans </h5>
 <p>We identify a specific subset of the entities called
   <em>plans</em>:
-</p><div class="component" id="plans" data-count="4" data-title="Component 4 (plans)"><div class="ruleTitle"><a class="internalDFN" href="#plans">Component 4 (plans)</a></div>
- <p> A set <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-71-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-2042"><span style="display: inline-block; position: relative; width: 127px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 53px -9px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-2043"><span class="mi" id="MathJax-Span-2044" style="font-family: STIXGeneral-Italic;">P</span><span class="mi" id="MathJax-Span-2045" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-2046" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-2047" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2048" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-2049" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊆</span><span class="mi" id="MathJax-Span-2050" style="font-family: STIXGeneral-Italic; padding-left: 6px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-2051" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2052" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2053" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2054" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2055" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2056" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2057" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 17.2px; vertical-align: -3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-71">Plans \subseteq Entities</script> of plans.</p>
+</p><div data-title="Component 4 (plans)" data-count="4" class="component" id="plans"><div class="ruleTitle"><a href="#plans" class="internalDFN">Component 4 (plans)</a></div>
+ <p> A set <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-71-Frame" class="MathJax"><nobr><span id="MathJax-Span-2042" class="math"><span style="display: inline-block; position: relative; width: 115px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.848em, -0.526em); top: -2.57em; left: 0em;"><span id="MathJax-Span-2043" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2044" class="mi">P</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2045" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2046" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2047" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2048" class="mi">s</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-2049" class="mo">⊆</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-2050" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2051" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2052" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2053" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2054" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2055" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2056" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2057" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.966em; vertical-align: -0.173em;"></span></span></nobr></span><script id="MathJax-Element-71" type="math/tex">Plans \subseteq Entities</script> of plans.</p>
   </div>
 <p></p></section>
 
@@ -1342,9 +1342,9 @@
 
 <p>An <em>activity</em> is an object that encompasses a set of events.  We introduce
 </p>
-<div class="component" id="activities" data-count="5" data-title="Component 5 (activities)"><div class="ruleTitle"><a class="internalDFN" href="#activities">Component 5 (activities)</a></div>
-  <ol><li>A set <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-72-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-2058"><span style="display: inline-block; position: relative; width: 151px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -10px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-2059"><span class="mi" id="MathJax-Span-2060" style="font-family: STIXGeneral-Italic;">A</span><span class="mi" id="MathJax-Span-2061" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-2062" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2063" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2064" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-2065" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2066" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2067" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2068" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2069" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-2070" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊆</span><span class="mi" id="MathJax-Span-2071" style="font-family: STIXGeneral-Italic; padding-left: 6px;">O</span><span class="mi" id="MathJax-Span-2072" style="font-family: STIXGeneral-Italic;">b</span><span class="mi" id="MathJax-Span-2073" style="font-family: STIXGeneral-Italic;">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-2074" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2075" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-2076" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2077" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-72">Activities \subseteq Objects</script> of activities.</li>
-  <li> Activities are disjoint from Entities: <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-73-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-2078"><span style="display: inline-block; position: relative; width: 180px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(30.9px 19360px 52.4px -9px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-2079"><span class="mi" id="MathJax-Span-2080" style="font-family: STIXGeneral-Italic;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-2081" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2082" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2083" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2084" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2085" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2086" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2087" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-2088" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∩</span><span class="mi" id="MathJax-Span-2089" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">A</span><span class="mi" id="MathJax-Span-2090" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-2091" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2092" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2093" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-2094" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2095" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2096" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2097" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2098" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-2099" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-2100" style="font-family: STIXVariants; padding-left: 6px;">∅</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 17.5px; vertical-align: -2.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-73">Entities\cap Activities
+<div data-title="Component 5 (activities)" data-count="5" class="component" id="activities"><div class="ruleTitle"><a href="#activities" class="internalDFN">Component 5 (activities)</a></div>
+  <ol><li>A set <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-72-Frame" class="MathJax"><nobr><span id="MathJax-Span-2058" class="math"><span style="display: inline-block; position: relative; width: 139px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.577em); top: -2.57em; left: 0em;"><span id="MathJax-Span-2059" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2060" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2061" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2062" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2063" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2064" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2065" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2066" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2067" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2068" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2069" class="mi">s</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-2070" class="mo">⊆</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-2071" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2072" class="mi">b</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2073" class="mi">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2074" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2075" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2076" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2077" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-72" type="math/tex">Activities \subseteq Objects</script> of activities.</li>
+  <li> Activities are disjoint from Entities: <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-73-Frame" class="MathJax"><nobr><span id="MathJax-Span-2078" class="math"><span style="display: inline-block; position: relative; width: 168px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.666em, 1000em, 2.819em, -0.527em); top: -2.57em; left: 0em;"><span id="MathJax-Span-2079" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2080" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2081" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2082" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2083" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2084" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2085" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2086" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2087" class="mi">s</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-2088" class="mo">∩</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-2089" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2090" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2091" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2092" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2093" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2094" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2095" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2096" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2097" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2098" class="mi">s</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-2099" class="mo">=</span><span style="font-family: STIXVariants; padding-left: 0.313em;" id="MathJax-Span-2100" class="mi">∅</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.984em; vertical-align: -0.142em;"></span></span></nobr></span><script id="MathJax-Element-73" type="math/tex">Entities\cap Activities
   = \emptyset</script>.</li>
   </ol>
 </div></section>
@@ -1358,8 +1358,8 @@
   agent cannot be both entity and activity because the sets of
   entities and activities are disjoint.  We introduce:
 </p>
-<div class="component" id="agents" data-count="6" data-title="Component 6 (agents)"><div class="ruleTitle"><a class="internalDFN" href="#agents">Component 6 (agents)</a></div>
-  <p>A set <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-74-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-2101"><span style="display: inline-block; position: relative; width: 135px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -10px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-2102"><span class="mi" id="MathJax-Span-2103" style="font-family: STIXGeneral-Italic;">A</span><span class="mi" id="MathJax-Span-2104" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-2105" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2106" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2107" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2108" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-2109" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊆</span><span class="mi" id="MathJax-Span-2110" style="font-family: STIXGeneral-Italic; padding-left: 6px;">O</span><span class="mi" id="MathJax-Span-2111" style="font-family: STIXGeneral-Italic;">b</span><span class="mi" id="MathJax-Span-2112" style="font-family: STIXGeneral-Italic;">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-2113" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2114" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-2115" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2116" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-74">Agents \subseteq Objects</script> of agents.</p>
+<div data-title="Component 6 (agents)" data-count="6" class="component" id="agents"><div class="ruleTitle"><a href="#agents" class="internalDFN">Component 6 (agents)</a></div>
+  <p>A set <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-74-Frame" class="MathJax"><nobr><span id="MathJax-Span-2101" class="math"><span style="display: inline-block; position: relative; width: 121px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.577em); top: -2.57em; left: 0em;"><span id="MathJax-Span-2102" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2103" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2104" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2105" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2106" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2107" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2108" class="mi">s</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-2109" class="mo">⊆</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-2110" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2111" class="mi">b</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2112" class="mi">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2113" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2114" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2115" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2116" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-74" type="math/tex">Agents \subseteq Objects</script> of agents.</p>
   </div>
 </section>
 
@@ -1367,23 +1367,23 @@
 <section id="interactions-1">
 <h4><span class="secno">3.2.4 </span> Interactions </h4>
 
-<p>We consider a set <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-75-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-2117"><span style="display: inline-block; position: relative; width: 176px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -9.2px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-2118"><span class="mi" id="MathJax-Span-2119" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span class="mi" id="MathJax-Span-2120" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2121" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2122" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2123" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-2124" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-2125" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-2126" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2127" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2128" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-2129" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2130" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-2131" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊆</span><span class="mi" id="MathJax-Span-2132" style="font-family: STIXGeneral-Italic; padding-left: 6px;">O</span><span class="mi" id="MathJax-Span-2133" style="font-family: STIXGeneral-Italic;">b</span><span class="mi" id="MathJax-Span-2134" style="font-family: STIXGeneral-Italic;">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-2135" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2136" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-2137" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2138" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-75">Interactions \subseteq Objects</script> which are split into
+<p>We consider a set <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-75-Frame" class="MathJax"><nobr><span id="MathJax-Span-2117" class="math"><span style="display: inline-block; position: relative; width: 160px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.534em); top: -2.57em; left: 0em;"><span id="MathJax-Span-2118" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2119" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2120" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2121" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2122" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2123" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2124" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2125" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2126" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2127" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2128" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2129" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2130" class="mi">s</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-2131" class="mo">⊆</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-2132" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2133" class="mi">b</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2134" class="mi">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2135" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2136" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2137" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2138" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-75" type="math/tex">Interactions \subseteq Objects</script> which are split into
   <em>Events</em> connecting entities and activities,
   <em>Associations</em> between agents and activities,
   <em>Communications</em> between pairs of activities,
   <em>Delegations</em> between pairs of agents, and <em>Derivations</em> that describe chains of generation and usage steps.  (The first two sets may overlap.)  Interactions are disjoint from entities, activities and agents.
 </p>
-<div class="component" id="interactions" data-count="7" data-title="Component 7 (interactions)"><div class="ruleTitle"><a class="internalDFN" href="#interactions">Component 7 (interactions)</a></div>
-  <ol><li> A set <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-76-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-2139"><span style="display: inline-block; position: relative; width: 733px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -9.2px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-2140"><span class="mi" id="MathJax-Span-2141" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span class="mi" id="MathJax-Span-2142" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2143" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2144" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2145" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-2146" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-2147" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-2148" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2149" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2150" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-2151" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2152" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-2153" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-2154" style="font-family: STIXGeneral-Italic; padding-left: 6px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-2155" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-2156" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2157" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2158" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2159" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-2160" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∪</span><span class="mi" id="MathJax-Span-2161" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">A</span><span class="mi" id="MathJax-Span-2162" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-2163" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-2164" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-2165" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-2166" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2167" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-2168" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2169" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2170" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-2171" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2172" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-2173" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∪</span><span class="mi" id="MathJax-Span-2174" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">C<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-2175" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-2176" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-2177" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-2178" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-2179" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2180" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2181" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-2182" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-2183" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2184" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2185" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-2186" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2187" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-2188" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∪</span><span class="mi" id="MathJax-Span-2189" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">D</span><span class="mi" id="MathJax-Span-2190" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2191" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-2192" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2193" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-2194" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-2195" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2196" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2197" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-2198" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2199" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-2200" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∪</span><span class="mi" id="MathJax-Span-2201" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">D</span><span class="mi" id="MathJax-Span-2202" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2203" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-2204" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2205" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-2206" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-2207" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2208" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2209" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-2210" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2211" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-2212" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊆</span><span class="mi" id="MathJax-Span-2213" style="font-family: STIXGeneral-Italic; padding-left: 6px;">O</span><span class="mi" id="MathJax-Span-2214" style="font-family: STIXGeneral-Italic;">b</span><span class="mi" id="MathJax-Span-2215" style="font-family: STIXGeneral-Italic;">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-2216" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2217" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-2218" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2219" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-76">Interactions = Events \cup Associations \cup
+<div data-title="Component 7 (interactions)" data-count="7" class="component" id="interactions"><div class="ruleTitle"><a href="#interactions" class="internalDFN">Component 7 (interactions)</a></div>
+  <ol><li> A set <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-76-Frame" class="MathJax"><nobr><span id="MathJax-Span-2139" class="math"><span style="display: inline-block; position: relative; width: 672px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.534em); top: -2.57em; left: 0em;"><span id="MathJax-Span-2140" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2141" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2142" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2143" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2144" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2145" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2146" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2147" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2148" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2149" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2150" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2151" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2152" class="mi">s</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-2153" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-2154" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2155" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2156" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2157" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2158" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2159" class="mi">s</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-2160" class="mo">∪</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-2161" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2162" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2163" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2164" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2165" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2166" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2167" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2168" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2169" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2170" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2171" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2172" class="mi">s</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-2173" class="mo">∪</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-2174" class="mi">C<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.022em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2175" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2176" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2177" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2178" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2179" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2180" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2181" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2182" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2183" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2184" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2185" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2186" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2187" class="mi">s</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-2188" class="mo">∪</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-2189" class="mi">D</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2190" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2191" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2192" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2193" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2194" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2195" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2196" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2197" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2198" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2199" class="mi">s</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-2200" class="mo">∪</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-2201" class="mi">D</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2202" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2203" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2204" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2205" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2206" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2207" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2208" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2209" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2210" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2211" class="mi">s</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-2212" class="mo">⊆</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-2213" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2214" class="mi">b</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2215" class="mi">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2216" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2217" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2218" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2219" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-76" type="math/tex">Interactions = Events \cup Associations \cup
   Communications \cup Delegations \cup Derivations \subseteq Objects</script>
 </li>
-<li> A function <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-77-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-2220"><span style="display: inline-block; position: relative; width: 1046px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.3px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-2221"><span class="mi" id="MathJax-Span-2222" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2223" style="font-family: STIXGeneral-Italic;">y</span><span class="mi" id="MathJax-Span-2224" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-2225" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-2226" style="font-family: STIXGeneral-Regular; padding-left: 6px;">:</span><span class="mi" id="MathJax-Span-2227" style="font-family: STIXGeneral-Italic; padding-left: 6px;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span class="mi" id="MathJax-Span-2228" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2229" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2230" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2231" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-2232" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-2233" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-2234" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2235" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2236" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-2237" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2238" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-2239" style="font-family: STIXGeneral-Regular; padding-left: 6px;">→</span><span class="mo" id="MathJax-Span-2240" style="font-family: STIXGeneral-Regular; padding-left: 6px;">{</span><span class="mi" id="MathJax-Span-2241" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-2242" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2243" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-2244" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-2245" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-2246" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-2247" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mi" id="MathJax-Span-2248" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2249" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-2250" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-2251" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">u</span><span class="mi" id="MathJax-Span-2252" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-2253" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-2254" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-2255" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-2256" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-2257" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">g</span><span class="mi" id="MathJax-Span-2258" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2259" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2260" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2261" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-2262" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-2263" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2264" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2265" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-2266" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-2267" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-2268" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">i</span><span class="mi" id="MathJax-Span-2269" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2270" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-2271" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-2272" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-2273" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2274" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-2275" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-2276" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2277" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2278" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-2279" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-2280" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-2281" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-2282" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2283" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-2284" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2285" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-2286" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-2287" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2288" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2289" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-2290" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-2291" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-2292" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">v</span><span class="mi" id="MathJax-Span-2293" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2294" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-2295" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-2296" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2297" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-2298" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-2299" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-2300" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">q</span><span class="mi" id="MathJax-Span-2301" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-2302" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-2303" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2304" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-2305" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2306" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2307" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-2308" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-2309" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-2310" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">p</span><span class="mi" id="MathJax-Span-2311" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-2312" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2313" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-2314" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-2315" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; 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height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2327" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2328" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2329" class="mi">b</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2330" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2331" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2332" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2333" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2334" class="mi">n</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2335" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-2336" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2337" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2338" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2339" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2340" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2341" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2342" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2343" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2344" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2345" class="mi">n</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2346" class="mo">}</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.079em; vertical-align: -0.286em;"></span></span></nobr></span><script id="MathJax-Element-77" type="math/tex">type: Interactions \to
   \{start,end,usage,generation,invalidation,derivation,version,quotation,primarySource,attribution,delegation\}</script>.
 </li>
-<li> The sets <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-78-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-2347"><span style="display: inline-block; position: relative; width: 51px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.4px 19360px 51.3px -9px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-2348"><span class="mi" id="MathJax-Span-2349" style="font-family: STIXGeneral-Italic;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-2350" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-2351" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2352" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2353" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2354" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-78">Events</script>, <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-79-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-2355"><span style="display: inline-block; position: relative; width: 97px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.1px 19360px 51.3px -10px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-2356"><span class="mi" id="MathJax-Span-2357" style="font-family: STIXGeneral-Italic;">A</span><span class="mi" id="MathJax-Span-2358" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-2359" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-2360" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-2361" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-2362" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2363" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-2364" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2365" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2366" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-2367" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2368" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.2px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-79">Associations</script>, <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-80-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-2369"><span style="display: inline-block; position: relative; width: 132px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.1px 19360px 51.3px -7.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-2370"><span class="mi" id="MathJax-Span-2371" style="font-family: STIXGeneral-Italic;">C<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-2372" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-2373" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-2374" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-2375" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-2376" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2377" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2378" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-2379" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-2380" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2381" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2382" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-2383" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2384" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.2px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-80">Communications</script>, <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-81-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-2385"><span style="display: inline-block; position: relative; width: 93px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -9.2px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-2386"><span class="mi" id="MathJax-Span-2387" style="font-family: STIXGeneral-Italic;">D</span><span class="mi" id="MathJax-Span-2388" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2389" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-2390" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2391" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-2392" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-2393" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2394" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2395" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-2396" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2397" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-81">Delegations</script>
-  and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-82-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-2398"><span style="display: inline-block; position: relative; width: 90px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.3px 19360px 51.3px -9.2px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-2399"><span class="mi" id="MathJax-Span-2400" style="font-family: STIXGeneral-Italic;">D</span><span class="mi" id="MathJax-Span-2401" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2402" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-2403" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2404" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-2405" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-2406" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2407" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2408" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-2409" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2410" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-82">Derivations</script> are all disjoint.
+<li> The sets <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-78-Frame" class="MathJax"><nobr><span id="MathJax-Span-2347" class="math"><span style="display: inline-block; position: relative; width: 46px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.742em, 1000em, 2.763em, -0.527em); top: -2.57em; left: 0em;"><span id="MathJax-Span-2348" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2349" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2350" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2351" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2352" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2353" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2354" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.843em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-78" type="math/tex">Events</script>, <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-79-Frame" class="MathJax"><nobr><span id="MathJax-Span-2355" class="math"><span style="display: inline-block; position: relative; width: 87px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.727em, 1000em, 2.758em, -0.577em); top: -2.57em; left: 0em;"><span id="MathJax-Span-2356" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2357" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2358" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2359" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2360" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2361" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2362" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2363" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2364" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2365" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2366" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2367" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2368" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.854em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-79" type="math/tex">Associations</script>, <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-80-Frame" class="MathJax"><nobr><span id="MathJax-Span-2369" class="math"><span style="display: inline-block; position: relative; width: 117px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.729em, 1000em, 2.763em, -0.46em); top: -2.57em; left: 0em;"><span id="MathJax-Span-2370" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2371" class="mi">C<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.022em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2372" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2373" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2374" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2375" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2376" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2377" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2378" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2379" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2380" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2381" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2382" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2383" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2384" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.857em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-80" type="math/tex">Communications</script>, <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-81-Frame" class="MathJax"><nobr><span id="MathJax-Span-2385" class="math"><span style="display: inline-block; position: relative; width: 83px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.534em); top: -2.57em; left: 0em;"><span id="MathJax-Span-2386" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2387" class="mi">D</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2388" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2389" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2390" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2391" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2392" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2393" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2394" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2395" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2396" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2397" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-81" type="math/tex">Delegations</script>
+  and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-82-Frame" class="MathJax"><nobr><span id="MathJax-Span-2398" class="math"><span style="display: inline-block; position: relative; width: 81px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.741em, 1000em, 2.763em, -0.534em); top: -2.57em; left: 0em;"><span id="MathJax-Span-2399" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2400" class="mi">D</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2401" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2402" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2403" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2404" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2405" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2406" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2407" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2408" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2409" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2410" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.844em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-82" type="math/tex">Derivations</script> are all disjoint.
 </li><li> Interactions are disjoint from entities, agents and
-activities:  <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-83-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-2411"><span style="display: inline-block; position: relative; width: 373px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(30.9px 19360px 55px -9.2px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-2412"><span class="mi" id="MathJax-Span-2413" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span class="mi" id="MathJax-Span-2414" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2415" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2416" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2417" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-2418" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-2419" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-2420" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2421" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2422" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-2423" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2424" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-2425" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∩</span><span class="mo" id="MathJax-Span-2426" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">(</span><span class="mi" id="MathJax-Span-2427" style="font-family: STIXGeneral-Italic;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-2428" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2429" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2430" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2431" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2432" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2433" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2434" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-2435" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∪</span><span class="mi" id="MathJax-Span-2436" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">A</span><span class="mi" id="MathJax-Span-2437" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-2438" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2439" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2440" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-2441" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2442" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2443" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2444" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2445" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-2446" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∪</span><span class="mi" id="MathJax-Span-2447" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">A</span><span class="mi" id="MathJax-Span-2448" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-2449" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2450" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2451" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2452" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-2453" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-2454" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-2455" style="font-family: STIXVariants; padding-left: 6px;">∅</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 20.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-83">Interactions \cap (Entities \cup Activities \cup Agents) = \emptyset</script>
+activities:  <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-83-Frame" class="MathJax"><nobr><span id="MathJax-Span-2411" class="math"><span style="display: inline-block; position: relative; width: 348px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.666em, 1000em, 2.951em, -0.534em); top: -2.57em; left: 0em;"><span id="MathJax-Span-2412" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2413" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2414" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2415" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2416" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2417" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2418" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2419" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2420" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2421" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2422" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2423" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2424" class="mi">s</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-2425" class="mo">∩</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-2426" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2427" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2428" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2429" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2430" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2431" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2432" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2433" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2434" class="mi">s</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-2435" class="mo">∪</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-2436" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2437" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2438" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2439" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2440" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2441" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2442" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2443" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2444" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2445" class="mi">s</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-2446" class="mo">∪</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-2447" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2448" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2449" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2450" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2451" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2452" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2453" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-2454" class="mo">=</span><span style="font-family: STIXVariants; padding-left: 0.313em;" id="MathJax-Span-2455" class="mi">∅</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.125em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-83" type="math/tex">Interactions \cap (Entities \cup Activities \cup Agents) = \emptyset</script>
 </li></ol>
 </div>
 
@@ -1394,12 +1394,12 @@
 instant, and relates an activity to an entity (which could be an
 agent).  Events have types including usage, generation, invalidation, starting and ending.  Events are instantaneous.  We introduce:
 </p>
-<div class="component" id="events" data-count="8" data-title="Component 8 (events)"><div class="ruleTitle"><a class="internalDFN" href="#events">Component 8 (events)</a></div>
-<ol><li> A set <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-84-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-2456"><span style="display: inline-block; position: relative; width: 169px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.3px 19360px 53px -9px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-2457"><span class="mi" id="MathJax-Span-2458" style="font-family: STIXGeneral-Italic;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-2459" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-2460" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2461" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2462" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2463" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-2464" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊆</span><span class="mi" id="MathJax-Span-2465" style="font-family: STIXGeneral-Italic; padding-left: 6px;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span class="mi" id="MathJax-Span-2466" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2467" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2468" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2469" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-2470" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-2471" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-2472" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2473" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2474" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-2475" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2476" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 16.7px; vertical-align: -3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-84">Events \subseteq Interactions</script> of events, such that
-  <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-85-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-2477"><span style="display: inline-block; position: relative; width: 422px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.3px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-2478"><span class="mi" id="MathJax-Span-2479" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2480" style="font-family: STIXGeneral-Italic;">y</span><span class="mi" id="MathJax-Span-2481" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-2482" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-2483" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-2484" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2485" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-2486" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-2487" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-2488" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mo" id="MathJax-Span-2489" style="font-family: STIXGeneral-Regular; padding-left: 6px;">{</span><span class="mi" id="MathJax-Span-2490" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-2491" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2492" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-2493" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-2494" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-2495" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-2496" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mi" id="MathJax-Span-2497" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2498" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-2499" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-2500" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">g</span><span class="mi" id="MathJax-Span-2501" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2502" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2503" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2504" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-2505" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-2506" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2507" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2508" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-2509" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-2510" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-2511" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">u</span><span class="mi" id="MathJax-Span-2512" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-2513" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-2514" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-2515" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-2516" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-2517" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">i</span><span class="mi" id="MathJax-Span-2518" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2519" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-2520" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-2521" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-2522" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2523" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-2524" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-2525" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2526" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2527" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-2528" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-2529" style="font-family: STIXGeneral-Regular;">}</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-85">type(evt) \in \{start,end,generation,usage,invalidation\}</script> if and
-  only of <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-86-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-2530"><span style="display: inline-block; position: relative; width: 95px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.4px 19360px 51.5px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-2531"><span class="mi" id="MathJax-Span-2532" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2533" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-2534" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-2535" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-2536" style="font-family: STIXGeneral-Italic; padding-left: 6px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-2537" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-2538" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2539" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2540" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2541" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.2px; vertical-align: -1.5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-86">evt \in Events</script>.
-</li><li> A function <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-87-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-2542"><span style="display: inline-block; position: relative; width: 179px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.3px 19360px 51.3px -8.3px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-2543"><span class="mi" id="MathJax-Span-2544" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2545" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2546" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-2547" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-2548" style="font-family: STIXGeneral-Regular; padding-left: 6px;">:</span><span class="mi" id="MathJax-Span-2549" style="font-family: STIXGeneral-Italic; padding-left: 6px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-2550" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-2551" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2552" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2553" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2554" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-2555" style="font-family: STIXGeneral-Regular; padding-left: 6px;">→</span><span class="mi" id="MathJax-Span-2556" style="font-family: STIXGeneral-Italic; padding-left: 6px;">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.5px;"></span></span><span class="mi" id="MathJax-Span-2557" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2558" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-2559" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2560" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-87">time : Events \to Times</script> giving the time of each event; i.e. <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-88-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-2561"><span style="display: inline-block; position: relative; width: 182px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.2px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-2562"><span class="mi" id="MathJax-Span-2563" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-2564" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2565" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-2566" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2567" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2568" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2569" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-2570" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-2571" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-2572" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2573" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-2574" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-2575" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-2576" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mo" id="MathJax-Span-2577" style="font-family: STIXGeneral-Regular; padding-left: 6px;">{</span><span class="mi" id="MathJax-Span-2578" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2579" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2580" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-2581" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-2582" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-2583" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-2584" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-2585" style="font-family: STIXGeneral-Regular;">}</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-88">lifetime(evt) = \{time(t)\}</script>.
-</li><li> The derived ordering on events given by <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-89-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-2586"><span style="display: inline-block; position: relative; width: 310px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 54.4px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-2587"><span class="mi" id="MathJax-Span-2588" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2589" style="font-family: STIXGeneral-Italic;">v</span><span class="msubsup" id="MathJax-Span-2590"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-2591" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-2592" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-2593" style="font-family: STIXGeneral-Regular; padding-left: 6px;">≤</span><span class="mi" id="MathJax-Span-2594" style="font-family: STIXGeneral-Italic; padding-left: 6px;">e</span><span class="mi" id="MathJax-Span-2595" style="font-family: STIXGeneral-Italic;">v</span><span class="msubsup" id="MathJax-Span-2596"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-2597" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-2598" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mspace" id="MathJax-Span-2599" style="height: 0px; vertical-align: 0px; width: 6px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-2600" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⟺</span><span class="mspace" id="MathJax-Span-2601" style="height: 0px; vertical-align: 0px; width: 6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-2602" style="font-family: STIXGeneral-Italic; padding-left: 6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2603" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2604" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-2605" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-2606" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-2607" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2608" style="font-family: STIXGeneral-Italic;">v</span><span class="msubsup" id="MathJax-Span-2609"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-2610" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-2611" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-2612" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-2613" style="font-family: STIXGeneral-Regular; padding-left: 6px;">≤</span><span class="mi" id="MathJax-Span-2614" style="font-family: STIXGeneral-Italic; padding-left: 6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2615" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2616" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-2617" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-2618" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-2619" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2620" style="font-family: STIXGeneral-Italic;">v</span><span class="msubsup" id="MathJax-Span-2621"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-2622" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-2623" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-2624" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.5px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-89">evt_1 \leq evt_2 \iff time(evt_1) \leq time(evt_2)</script>
+<div data-title="Component 8 (events)" data-count="8" class="component" id="events"><div class="ruleTitle"><a href="#events" class="internalDFN">Component 8 (events)</a></div>
+<ol><li> A set <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-84-Frame" class="MathJax"><nobr><span id="MathJax-Span-2456" class="math"><span style="display: inline-block; position: relative; width: 153px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.741em, 1000em, 2.848em, -0.527em); top: -2.57em; left: 0em;"><span id="MathJax-Span-2457" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2458" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2459" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2460" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2461" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2462" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2463" class="mi">s</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-2464" class="mo">⊆</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-2465" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2466" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2467" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2468" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2469" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2470" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2471" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2472" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2473" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2474" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2475" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2476" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.935em; vertical-align: -0.173em;"></span></span></nobr></span><script id="MathJax-Element-84" type="math/tex">Events \subseteq Interactions</script> of events, such that
+  <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-85-Frame" class="MathJax"><nobr><span id="MathJax-Span-2477" class="math"><span style="display: inline-block; position: relative; width: 381px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.488em); top: -2.57em; left: 0em;"><span id="MathJax-Span-2478" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2479" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2480" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2481" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2482" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2483" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2484" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2485" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2486" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-2487" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-2488" class="mo">∈</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-2489" class="mo">{</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2490" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2491" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2492" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2493" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2494" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-2495" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-2496" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2497" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2498" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-2499" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-2500" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2501" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2502" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2503" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2504" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2505" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2506" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2507" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2508" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2509" class="mi">n</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2510" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-2511" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2512" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2513" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2514" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2515" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2516" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-2517" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2518" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2519" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2520" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2521" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2522" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2523" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2524" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2525" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2526" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2527" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2528" class="mi">n</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2529" class="mo">}</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-85" type="math/tex">type(evt) \in \{start,end,generation,usage,invalidation\}</script> if and
+  only of <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-86-Frame" class="MathJax"><nobr><span id="MathJax-Span-2530" class="math"><span style="display: inline-block; position: relative; width: 89px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.742em, 1000em, 2.772em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-2531" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2532" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2533" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2534" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-2535" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-2536" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2537" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2538" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2539" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2540" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2541" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.853em; vertical-align: -0.091em;"></span></span></nobr></span><script id="MathJax-Element-86" type="math/tex">evt \in Events</script>.
+</li><li> A function <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-87-Frame" class="MathJax"><nobr><span id="MathJax-Span-2542" class="math"><span style="display: inline-block; position: relative; width: 161px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.741em, 1000em, 2.763em, -0.488em); top: -2.57em; left: 0em;"><span id="MathJax-Span-2543" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2544" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2545" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2546" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2547" class="mi">e</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-2548" class="mo">:</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-2549" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2550" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2551" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2552" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2553" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2554" class="mi">s</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-2555" class="mo">→</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-2556" class="mi">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.077em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2557" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2558" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2559" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2560" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.844em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-87" type="math/tex">time : Events \to Times</script> giving the time of each event; i.e. <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-88-Frame" class="MathJax"><nobr><span id="MathJax-Span-2561" class="math"><span style="display: inline-block; position: relative; width: 168px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.485em); top: -2.57em; left: 0em;"><span id="MathJax-Span-2562" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2563" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2564" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2565" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2566" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2567" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2568" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2569" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2570" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2571" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2572" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2573" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2574" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-2575" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-2576" class="mo">=</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-2577" class="mo">{</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2578" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2579" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2580" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2581" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2582" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2583" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-2584" class="mo">)</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2585" class="mo">}</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-88" type="math/tex">lifetime(evt) = \{time(t)\}</script>.
+</li><li> The derived ordering on events given by <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-89-Frame" class="MathJax"><nobr><span id="MathJax-Span-2586" class="math"><span style="display: inline-block; position: relative; width: 284px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.922em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-2587" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2588" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2589" class="mi">v</span><span id="MathJax-Span-2590" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2591" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-2592" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-2593" class="mo">≤</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-2594" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2595" class="mi">v</span><span id="MathJax-Span-2596" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2597" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-2598" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="height: 0em; vertical-align: 0em; width: 0.313em; display: inline-block; overflow: hidden;" id="MathJax-Span-2599" class="mspace"></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-2600" class="mo">⟺</span><span style="height: 0em; vertical-align: 0em; width: 0.313em; display: inline-block; overflow: hidden;" id="MathJax-Span-2601" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-2602" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2603" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2604" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2605" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2606" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2607" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2608" class="mi">v</span><span id="MathJax-Span-2609" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2610" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-2611" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-2612" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-2613" class="mo">≤</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-2614" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2615" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2616" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2617" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2618" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2619" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2620" class="mi">v</span><span id="MathJax-Span-2621" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2622" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-2623" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-2624" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.038em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-89" type="math/tex">evt_1 \leq evt_2 \iff time(evt_1) \leq time(evt_2)</script>
 </li></ol>
 </div>
 </section>
@@ -1409,13 +1409,13 @@
 
 <p>An <em>Association</em> is an interaction relating an agent to an activity.  To model associations, we introduce:
 </p>
-<div class="component" id="associations" data-count="9" data-title="Component 9 (associations)"><div class="ruleTitle"><a class="internalDFN" href="#associations">Component 9 (associations)</a></div>
-  <p>A set <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-90-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-2625"><span style="display: inline-block; position: relative; width: 215px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.1px 19360px 53px -10px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-2626"><span class="mi" id="MathJax-Span-2627" style="font-family: STIXGeneral-Italic;">A</span><span class="mi" id="MathJax-Span-2628" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-2629" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-2630" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-2631" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-2632" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2633" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-2634" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2635" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2636" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-2637" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2638" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-2639" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊆</span><span class="mi" id="MathJax-Span-2640" style="font-family: STIXGeneral-Italic; padding-left: 6px;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span class="mi" id="MathJax-Span-2641" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2642" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2643" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2644" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-2645" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-2646" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-2647" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2648" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2649" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-2650" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2651" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 16.9px; vertical-align: -3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-90">Associations \subseteq Interactions</script>, such that
-  <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-91-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-2652"><span style="display: inline-block; position: relative; width: 198px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.3px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-2653"><span class="mi" id="MathJax-Span-2654" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2655" style="font-family: STIXGeneral-Italic;">y</span><span class="mi" id="MathJax-Span-2656" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-2657" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-2658" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-2659" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-2660" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-2661" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-2662" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-2663" style="font-family: STIXGeneral-Italic;">c</span><span class="mo" id="MathJax-Span-2664" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-2665" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-2666" style="font-family: STIXGeneral-Italic; padding-left: 6px;">a</span><span class="mi" id="MathJax-Span-2667" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-2668" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-2669" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-2670" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-2671" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2672" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-2673" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2674" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2675" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-2676" style="font-family: STIXGeneral-Italic;">n</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-91">type(assoc) = association</script> if and only if <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-92-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-2677"><span style="display: inline-block; position: relative; width: 162px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.1px 19360px 51.5px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-2678"><span class="mi" id="MathJax-Span-2679" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-2680" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-2681" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-2682" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-2683" style="font-family: STIXGeneral-Italic;">c</span><span class="mo" id="MathJax-Span-2684" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-2685" style="font-family: STIXGeneral-Italic; padding-left: 6px;">A</span><span class="mi" id="MathJax-Span-2686" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-2687" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-2688" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-2689" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-2690" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2691" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-2692" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2693" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2694" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-2695" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2696" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -1.5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-92">assoc \in Associations</script>.
+<div data-title="Component 9 (associations)" data-count="9" class="component" id="associations"><div class="ruleTitle"><a href="#associations" class="internalDFN">Component 9 (associations)</a></div>
+  <p>A set <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-90-Frame" class="MathJax"><nobr><span id="MathJax-Span-2625" class="math"><span style="display: inline-block; position: relative; width: 194px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.727em, 1000em, 2.848em, -0.577em); top: -2.57em; left: 0em;"><span id="MathJax-Span-2626" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2627" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2628" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2629" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2630" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2631" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2632" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2633" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2634" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2635" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2636" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2637" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2638" class="mi">s</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-2639" class="mo">⊆</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-2640" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2641" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2642" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2643" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2644" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2645" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2646" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2647" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2648" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2649" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2650" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2651" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.95em; vertical-align: -0.173em;"></span></span></nobr></span><script id="MathJax-Element-90" type="math/tex">Associations \subseteq Interactions</script>, such that
+  <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-91-Frame" class="MathJax"><nobr><span id="MathJax-Span-2652" class="math"><span style="display: inline-block; position: relative; width: 179px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.951em, -0.488em); top: -2.57em; left: 0em;"><span id="MathJax-Span-2653" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2654" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2655" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2656" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2657" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2658" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2659" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2660" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2661" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2662" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2663" class="mi">c</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2664" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-2665" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-2666" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2667" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2668" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2669" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2670" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2671" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2672" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2673" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2674" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2675" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2676" class="mi">n</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.069em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-91" type="math/tex">type(assoc) = association</script> if and only if <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-92-Frame" class="MathJax"><nobr><span id="MathJax-Span-2677" class="math"><span style="display: inline-block; position: relative; width: 147px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.727em, 1000em, 2.772em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-2678" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2679" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2680" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2681" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2682" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2683" class="mi">c</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-2684" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-2685" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2686" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2687" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2688" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2689" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2690" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2691" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2692" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2693" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2694" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2695" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2696" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.869em; vertical-align: -0.091em;"></span></span></nobr></span><script id="MathJax-Element-92" type="math/tex">assoc \in Associations</script>.
 </p>
   </div>
   
-<p>Associations are used below in the <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-93-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-2697"><span style="display: inline-block; position: relative; width: 63px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.1px 19360px 51.3px -10px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-2698"><span class="mi" id="MathJax-Span-2699" style="font-family: STIXGeneral-Italic;">A</span><span class="mi" id="MathJax-Span-2700" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-2701" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2702" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-2703" style="font-family: STIXGeneral-Italic;">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.7px;"></span></span><span class="mi" id="MathJax-Span-2704" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-2705" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.2px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-93">ActsFor</script> and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-94-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-2706"><span style="display: inline-block; position: relative; width: 121px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -10px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-2707"><span class="mi" id="MathJax-Span-2708" style="font-family: STIXGeneral-Italic;">A</span><span class="mi" id="MathJax-Span-2709" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-2710" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-2711" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-2712" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-2713" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2714" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-2715" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2716" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2717" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-2718" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mi" id="MathJax-Span-2719" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2720" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2721" style="font-family: STIXGeneral-Italic;">h</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.6px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-94">AssociatedWith</script> relations.
+<p>Associations are used below in the <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-93-Frame" class="MathJax"><nobr><span id="MathJax-Span-2697" class="math"><span style="display: inline-block; position: relative; width: 56px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.727em, 1000em, 2.758em, -0.577em); top: -2.57em; left: 0em;"><span id="MathJax-Span-2698" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2699" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2700" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2701" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2702" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2703" class="mi">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.034em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2704" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2705" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.854em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-93" type="math/tex">ActsFor</script> and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-94-Frame" class="MathJax"><nobr><span id="MathJax-Span-2706" class="math"><span style="display: inline-block; position: relative; width: 109px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.763em, -0.577em); top: -2.57em; left: 0em;"><span id="MathJax-Span-2707" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2708" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2709" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2710" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2711" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2712" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2713" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2714" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2715" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2716" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2717" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2718" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2719" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2720" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2721" class="mi">h</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.875em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-94" type="math/tex">AssociatedWith</script> relations.
 
 
 </p></section>
@@ -1434,10 +1434,10 @@
 
 <p>A <em>Derivation</em> is an interaction chaining one or more generation and use steps.  
 </p>
-<div class="component" id="derivations" data-count="10" data-title="Component 10 (derivations)"><div class="ruleTitle"><a class="internalDFN" href="#derivations">Component 10 (derivations)</a></div>
-<p>  A set <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-95-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-2722"><span style="display: inline-block; position: relative; width: 208px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.3px 19360px 53px -9.2px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-2723"><span class="mi" id="MathJax-Span-2724" style="font-family: STIXGeneral-Italic;">D</span><span class="mi" id="MathJax-Span-2725" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2726" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-2727" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2728" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-2729" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-2730" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2731" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2732" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-2733" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2734" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-2735" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊆</span><span class="mi" id="MathJax-Span-2736" style="font-family: STIXGeneral-Italic; padding-left: 6px;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span class="mi" id="MathJax-Span-2737" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2738" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2739" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2740" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-2741" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-2742" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-2743" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2744" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2745" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-2746" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2747" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 16.7px; vertical-align: -3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-95">Derivations \subseteq Interactions</script>, such that
-  <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-96-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-2748"><span style="display: inline-block; position: relative; width: 471px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.3px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-2749"><span class="mi" id="MathJax-Span-2750" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2751" style="font-family: STIXGeneral-Italic;">y</span><span class="mi" id="MathJax-Span-2752" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-2753" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-2754" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-2755" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-2756" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2757" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-2758" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2759" style="font-family: STIXGeneral-Italic;">v</span><span class="mo" id="MathJax-Span-2760" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-2761" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mo" id="MathJax-Span-2762" style="font-family: STIXGeneral-Regular; padding-left: 6px;">{</span><span class="mi" id="MathJax-Span-2763" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-2764" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2765" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-2766" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2767" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-2768" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-2769" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2770" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2771" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-2772" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-2773" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-2774" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">v</span><span class="mi" id="MathJax-Span-2775" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2776" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-2777" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-2778" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2779" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-2780" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-2781" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-2782" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">p</span><span class="mi" id="MathJax-Span-2783" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-2784" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2785" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-2786" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-2787" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-2788" style="font-family: STIXGeneral-Italic;">y</span><span class="mi" id="MathJax-Span-2789" style="font-family: STIXGeneral-Italic;">S<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.2px;"></span></span><span class="mi" id="MathJax-Span-2790" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-2791" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-2792" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-2793" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-2794" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-2795" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-2796" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">q</span><span class="mi" id="MathJax-Span-2797" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-2798" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-2799" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2800" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-2801" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2802" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2803" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-2804" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-2805" style="font-family: STIXGeneral-Regular;">}</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.3px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-96">type(deriv) \in \{derivation, version, primarySource,quotation\}</script>
-  if and only if <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-97-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-2806"><span style="display: inline-block; position: relative; width: 152px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.5px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-2807"><span class="mi" id="MathJax-Span-2808" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-2809" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2810" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-2811" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2812" style="font-family: STIXGeneral-Italic;">v</span><span class="mo" id="MathJax-Span-2813" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-2814" style="font-family: STIXGeneral-Italic; padding-left: 6px;">D</span><span class="mi" id="MathJax-Span-2815" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2816" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-2817" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2818" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-2819" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-2820" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2821" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2822" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-2823" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2824" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.7px; vertical-align: -1.5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-97">deriv \in Derivations</script>.
+<div data-title="Component 10 (derivations)" data-count="10" class="component" id="derivations"><div class="ruleTitle"><a href="#derivations" class="internalDFN">Component 10 (derivations)</a></div>
+<p>  A set <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-95-Frame" class="MathJax"><nobr><span id="MathJax-Span-2722" class="math"><span style="display: inline-block; position: relative; width: 188px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.741em, 1000em, 2.848em, -0.534em); top: -2.57em; left: 0em;"><span id="MathJax-Span-2723" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2724" class="mi">D</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2725" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2726" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2727" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2728" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2729" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2730" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2731" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2732" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2733" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2734" class="mi">s</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-2735" class="mo">⊆</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-2736" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2737" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2738" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2739" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2740" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2741" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2742" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2743" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2744" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2745" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2746" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2747" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.935em; vertical-align: -0.173em;"></span></span></nobr></span><script id="MathJax-Element-95" type="math/tex">Derivations \subseteq Interactions</script>, such that
+  <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-96-Frame" class="MathJax"><nobr><span id="MathJax-Span-2748" class="math"><span style="display: inline-block; position: relative; width: 427px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.954em, -0.488em); top: -2.57em; left: 0em;"><span id="MathJax-Span-2749" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2750" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2751" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2752" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2753" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2754" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2755" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2756" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2757" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2758" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2759" class="mi">v</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2760" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-2761" class="mo">∈</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-2762" class="mo">{</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2763" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2764" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2765" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2766" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2767" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2768" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2769" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2770" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2771" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2772" class="mi">n</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2773" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-2774" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2775" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2776" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2777" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2778" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2779" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2780" class="mi">n</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2781" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-2782" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2783" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2784" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2785" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2786" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2787" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2788" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2789" class="mi">S<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.008em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2790" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2791" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2792" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2793" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2794" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2795" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-2796" class="mi">q</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2797" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2798" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2799" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2800" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2801" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2802" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2803" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2804" class="mi">n</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2805" class="mo">}</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.079em; vertical-align: -0.286em;"></span></span></nobr></span><script id="MathJax-Element-96" type="math/tex">type(deriv) \in \{derivation, version, primarySource,quotation\}</script>
+  if and only if <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-97-Frame" class="MathJax"><nobr><span id="MathJax-Span-2806" class="math"><span style="display: inline-block; position: relative; width: 140px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.772em, -0.511em); top: -2.57em; left: 0em;"><span id="MathJax-Span-2807" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2808" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2809" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2810" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2811" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2812" class="mi">v</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-2813" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-2814" class="mi">D</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2815" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2816" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2817" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2818" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2819" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2820" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2821" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2822" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2823" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2824" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.885em; vertical-align: -0.091em;"></span></span></nobr></span><script id="MathJax-Element-97" type="math/tex">deriv \in Derivations</script>.
 </p></div>
 <p>See below for the associated derivation path and DerivedFrom relation.
 </p>
@@ -1451,12 +1451,12 @@
 <h3 id="simple-relations"> Simple relations </h3>
 <p>The entities, interactions, and activities in a structure are related in the following ways:
 </p>
-<ol><li> A relation <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-98-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-2825"><span style="display: inline-block; position: relative; width: 195px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 53px -7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-2826"><span class="mi" id="MathJax-Span-2827" style="font-family: STIXGeneral-Italic;">U<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.8px;"></span></span><span class="mi" id="MathJax-Span-2828" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-2829" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2830" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-2831" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊆</span><span class="mi" id="MathJax-Span-2832" style="font-family: STIXGeneral-Italic; padding-left: 6px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-2833" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-2834" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2835" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2836" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2837" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-2838" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">×</span><span class="mi" id="MathJax-Span-2839" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-2840" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2841" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2842" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2843" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2844" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2845" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2846" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 17.2px; vertical-align: -3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-98">Used \subseteq Events \times Entities</script> saying when an event used an entity.  An event can use at most one entity, and if <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-99-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-2847"><span style="display: inline-block; position: relative; width: 113px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 54.4px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-2848"><span class="mo" id="MathJax-Span-2849" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-2850" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2851" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-2852" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-2853" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-2854" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-2855" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-2856" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-2857" style="font-family: STIXGeneral-Italic; padding-left: 6px;">U<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.8px;"></span></span><span class="mi" id="MathJax-Span-2858" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-2859" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2860" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.6px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-99">(evt,e)\in Used</script> then <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-100-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-2861"><span style="display: inline-block; position: relative; width: 167px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.3px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-2862"><span class="mi" id="MathJax-Span-2863" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2864" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2865" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-2866" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-2867" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-2868" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2869" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-2870" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-2871" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-2872" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-2873" style="font-family: STIXGeneral-Italic; padding-left: 6px;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-2874" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2875" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-2876" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2877" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2878" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2879" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-2880" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-2881" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-2882" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-2883" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-100">time(evt) \in lifetime(e)</script> and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-101-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-2884"><span style="display: inline-block; position: relative; width: 104px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.3px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-2885"><span class="mi" id="MathJax-Span-2886" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2887" style="font-family: STIXGeneral-Italic;">y</span><span class="mi" id="MathJax-Span-2888" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-2889" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-2890" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-2891" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-2892" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-2893" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-2894" style="font-family: STIXGeneral-Italic; padding-left: 6px;">u</span><span class="mi" id="MathJax-Span-2895" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-2896" style="font-family: STIXGeneral-Italic;">e</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-101">type(g) = use</script> must hold.
-</li><li> A relation <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-102-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-2897"><span style="display: inline-block; position: relative; width: 236px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 53px -8px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-2898"><span class="mi" id="MathJax-Span-2899" style="font-family: STIXGeneral-Italic;">G</span><span class="mi" id="MathJax-Span-2900" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2901" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2902" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2903" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-2904" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-2905" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2906" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2907" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-2908" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊆</span><span class="mi" id="MathJax-Span-2909" style="font-family: STIXGeneral-Italic; padding-left: 6px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-2910" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-2911" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2912" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2913" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2914" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-2915" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">×</span><span class="mi" id="MathJax-Span-2916" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-2917" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2918" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2919" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2920" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2921" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2922" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2923" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 17.2px; vertical-align: -3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-102">Generated \subseteq Events \times Entities</script> saying when an event generated an entity.  An event can generate at most one entity, and if <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-103-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-2924"><span style="display: inline-block; position: relative; width: 154px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 54.4px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-2925"><span class="mo" id="MathJax-Span-2926" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-2927" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2928" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-2929" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-2930" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-2931" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-2932" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-2933" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-2934" style="font-family: STIXGeneral-Italic; padding-left: 6px;">G</span><span class="mi" id="MathJax-Span-2935" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2936" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2937" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2938" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-2939" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-2940" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2941" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2942" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.6px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-103">(evt,e)\in Generated</script> then <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-104-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-2943"><span style="display: inline-block; position: relative; width: 210px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-2944"><span class="mi" id="MathJax-Span-2945" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-2946" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2947" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-2948" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-2949" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-2950" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2951" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-2952" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2953" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2954" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2955" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-2956" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-2957" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-2958" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-2959" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-2960" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-2961" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-2962" style="font-family: STIXGeneral-Italic; padding-left: 6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2963" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2964" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-2965" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-2966" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-2967" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2968" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-2969" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-2970" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-104">min(lifetime(e)) = time(evt)</script> and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-105-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-2971"><span style="display: inline-block; position: relative; width: 162px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.3px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-2972"><span class="mi" id="MathJax-Span-2973" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2974" style="font-family: STIXGeneral-Italic;">y</span><span class="mi" id="MathJax-Span-2975" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-2976" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-2977" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-2978" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-2979" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-2980" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-2981" style="font-family: STIXGeneral-Italic; padding-left: 6px;">g</span><span class="mi" id="MathJax-Span-2982" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2983" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2984" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-2985" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-2986" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-2987" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-2988" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2989" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-2990" style="font-family: STIXGeneral-Italic;">n</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-105">type(g) = generation</script> must hold.
-</li><li> A relation <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-106-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-2991"><span style="display: inline-block; position: relative; width: 244px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 53px -9.2px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-2992"><span class="mi" id="MathJax-Span-2993" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span class="mi" id="MathJax-Span-2994" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-2995" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-2996" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-2997" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-2998" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-2999" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-3000" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-3001" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3002" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3003" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-3004" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊆</span><span class="mi" id="MathJax-Span-3005" style="font-family: STIXGeneral-Italic; padding-left: 6px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-3006" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-3007" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3008" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-3009" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3010" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-3011" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">×</span><span class="mi" id="MathJax-Span-3012" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-3013" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-3014" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3015" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3016" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3017" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3018" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3019" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 17.2px; vertical-align: -3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-106">Invalidated \subseteq Events \times Entities</script> saying when an event invalidated an entity.  An event can invalidate at most one entity, and if <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-107-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3020"><span style="display: inline-block; position: relative; width: 162px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 54.4px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3021"><span class="mo" id="MathJax-Span-3022" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-3023" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3024" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-3025" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-3026" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-3027" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-3028" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-3029" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-3030" style="font-family: STIXGeneral-Italic; padding-left: 6px;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span class="mi" id="MathJax-Span-3031" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-3032" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-3033" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-3034" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-3035" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3036" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-3037" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-3038" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3039" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3040" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.6px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-107">(evt,e)\in Invalidated</script> then <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-108-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3041"><span style="display: inline-block; position: relative; width: 210px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3042"><span class="mi" id="MathJax-Span-3043" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-3044" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3045" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-3046" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-3047" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-3048" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3049" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-3050" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3051" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3052" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3053" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-3054" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-3055" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-3056" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-3057" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-3058" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-3059" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-3060" style="font-family: STIXGeneral-Italic; padding-left: 6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3061" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3062" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-3063" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-3064" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-3065" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3066" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-3067" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-3068" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-108">min(lifetime(e)) = time(evt)</script> and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-109-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3069"><span style="display: inline-block; position: relative; width: 173px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.3px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3070"><span class="mi" id="MathJax-Span-3071" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3072" style="font-family: STIXGeneral-Italic;">y</span><span class="mi" id="MathJax-Span-3073" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-3074" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-3075" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-3076" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-3077" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-3078" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-3079" style="font-family: STIXGeneral-Italic; padding-left: 6px;">i</span><span class="mi" id="MathJax-Span-3080" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-3081" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-3082" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-3083" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-3084" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3085" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-3086" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-3087" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3088" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3089" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-3090" style="font-family: STIXGeneral-Italic;">n</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-109">type(g) = invalidation</script> must hold.
-</li><li> A relation <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-110-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3091"><span style="display: inline-block; position: relative; width: 266px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.1px 19360px 55px -9px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3092"><span class="mi" id="MathJax-Span-3093" style="font-family: STIXGeneral-Italic;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-3094" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-3095" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3096" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-3097" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3098" style="font-family: STIXGeneral-Italic;">A</span><span class="mi" id="MathJax-Span-3099" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-3100" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3101" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3102" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-3103" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3104" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3105" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-3106" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊆</span><span class="mi" id="MathJax-Span-3107" style="font-family: STIXGeneral-Italic; padding-left: 6px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-3108" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-3109" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3110" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-3111" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3112" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-3113" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">×</span><span class="mi" id="MathJax-Span-3114" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">A</span><span class="mi" id="MathJax-Span-3115" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-3116" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3117" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3118" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-3119" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3120" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3121" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3122" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3123" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.9px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-110">EventActivity \subseteq Events \times Activities</script> associating activities with events, such that <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-111-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3124"><span style="display: inline-block; position: relative; width: 188px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3125"><span class="mo" id="MathJax-Span-3126" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-3127" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-3128" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-3129" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-3130" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-3131" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mi" id="MathJax-Span-3132" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-3133" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-3134" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-3135" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-3136" style="font-family: STIXGeneral-Italic; padding-left: 6px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-3137" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-3138" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3139" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-3140" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3141" style="font-family: STIXGeneral-Italic;">A</span><span class="mi" id="MathJax-Span-3142" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-3143" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3144" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3145" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-3146" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3147" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3148" style="font-family: STIXGeneral-Italic;">y</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-111">(act,evt) \in EventActivity</script> implies <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-112-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3149"><span style="display: inline-block; position: relative; width: 182px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.3px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3150"><span class="mi" id="MathJax-Span-3151" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3152" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3153" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-3154" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-3155" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-3156" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3157" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-3158" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-3159" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-3160" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-3161" style="font-family: STIXGeneral-Italic; padding-left: 6px;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-3162" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3163" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-3164" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3165" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3166" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3167" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-3168" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-3169" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-3170" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-3171" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-3172" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-3173" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-112">time(evt) \in lifetime(act)</script>.
-</li><li> A relation <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-113-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3174"><span style="display: inline-block; position: relative; width: 476px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -10px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3175"><span class="mi" id="MathJax-Span-3176" style="font-family: STIXGeneral-Italic;">A</span><span class="mi" id="MathJax-Span-3177" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-3178" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-3179" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-3180" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-3181" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3182" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-3183" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3184" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3185" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-3186" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mi" id="MathJax-Span-3187" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3188" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3189" style="font-family: STIXGeneral-Italic;">h</span><span class="mo" id="MathJax-Span-3190" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊆</span><span class="mi" id="MathJax-Span-3191" style="font-family: STIXGeneral-Italic; padding-left: 6px;">A</span><span class="mi" id="MathJax-Span-3192" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-3193" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-3194" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-3195" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-3196" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3197" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-3198" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3199" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3200" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-3201" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-3202" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">×</span><span class="mi" id="MathJax-Span-3203" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">A</span><span class="mi" id="MathJax-Span-3204" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-3205" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3206" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-3207" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3208" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-3209" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">×</span><span class="mi" id="MathJax-Span-3210" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">A</span><span class="mi" id="MathJax-Span-3211" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-3212" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3213" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3214" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-3215" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3216" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3217" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3218" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3219" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-3220" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">×</span><span class="mi" id="MathJax-Span-3221" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">P</span><span class="mi" id="MathJax-Span-3222" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-3223" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-3224" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-3225"><span style="display: inline-block; position: relative; width: 19.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-3226" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mi" id="MathJax-Span-3227" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">⊥</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-113">AssociatedWith \subseteq Association \times Agents \times Activities \times Plans_\bot</script> indicating when an agent is associated with an activity, and giving the identity of the association relationship, and an optional plan. 
-</li><li> A relation <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-114-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3228"><span style="display: inline-block; position: relative; width: 416px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -10px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3229"><span class="mi" id="MathJax-Span-3230" style="font-family: STIXGeneral-Italic;">A</span><span class="mi" id="MathJax-Span-3231" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-3232" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3233" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-3234" style="font-family: STIXGeneral-Italic;">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.7px;"></span></span><span class="mi" id="MathJax-Span-3235" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-3236" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mo" id="MathJax-Span-3237" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊆</span><span class="mi" id="MathJax-Span-3238" style="font-family: STIXGeneral-Italic; padding-left: 6px;">D</span><span class="mi" id="MathJax-Span-3239" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3240" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-3241" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3242" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-3243" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-3244" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3245" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3246" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-3247" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-3248" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-3249" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">×</span><span class="mi" id="MathJax-Span-3250" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">A</span><span class="mi" id="MathJax-Span-3251" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-3252" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3253" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-3254" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3255" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-3256" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">×</span><span class="mi" id="MathJax-Span-3257" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">A</span><span class="mi" id="MathJax-Span-3258" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-3259" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3260" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-3261" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3262" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-3263" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">×</span><span class="mi" id="MathJax-Span-3264" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">A</span><span class="mi" id="MathJax-Span-3265" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-3266" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3267" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3268" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-3269" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3270" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3271" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3272" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3273" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-114">ActsFor \subseteq Delegations \times Agents \times Agents \times Activities</script> indicating when one agent acts on behalf of another with respect to a given activity.  
+<ol><li> A relation <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-98-Frame" class="MathJax"><nobr><span id="MathJax-Span-2825" class="math"><span style="display: inline-block; position: relative; width: 178px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.848em, -0.424em); top: -2.57em; left: 0em;"><span id="MathJax-Span-2826" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2827" class="mi">U<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.043em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2828" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2829" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2830" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-2831" class="mo">⊆</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-2832" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2833" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2834" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2835" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2836" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2837" class="mi">s</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-2838" class="mo">×</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-2839" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2840" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2841" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2842" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2843" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2844" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2845" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2846" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.966em; vertical-align: -0.173em;"></span></span></nobr></span><script id="MathJax-Element-98" type="math/tex">Used \subseteq Events \times Entities</script> saying when an event used an entity.  An event can use at most one entity, and if <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-99-Frame" class="MathJax"><nobr><span id="MathJax-Span-2847" class="math"><span style="display: inline-block; position: relative; width: 106px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.922em, -0.478em); top: -2.57em; left: 0em;"><span id="MathJax-Span-2848" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-2849" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2850" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2851" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2852" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-2853" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-2854" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2855" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-2856" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-2857" class="mi">U<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.043em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2858" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2859" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2860" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.045em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-99" type="math/tex">(evt,e)\in Used</script> then <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-100-Frame" class="MathJax"><nobr><span id="MathJax-Span-2861" class="math"><span style="display: inline-block; position: relative; width: 157px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.488em); top: -2.57em; left: 0em;"><span id="MathJax-Span-2862" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2863" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2864" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2865" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2866" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2867" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2868" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2869" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2870" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-2871" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-2872" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-2873" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2874" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2875" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2876" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2877" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2878" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2879" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2880" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2881" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2882" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2883" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-100" type="math/tex">time(evt) \in lifetime(e)</script> and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-101-Frame" class="MathJax"><nobr><span id="MathJax-Span-2884" class="math"><span style="display: inline-block; position: relative; width: 94px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.951em, -0.488em); top: -2.57em; left: 0em;"><span id="MathJax-Span-2885" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2886" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2887" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2888" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2889" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2890" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2891" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2892" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-2893" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-2894" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2895" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2896" class="mi">e</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.069em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-101" type="math/tex">type(g) = use</script> must hold.
+</li><li> A relation <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-102-Frame" class="MathJax"><nobr><span id="MathJax-Span-2897" class="math"><span style="display: inline-block; position: relative; width: 215px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.848em, -0.474em); top: -2.57em; left: 0em;"><span id="MathJax-Span-2898" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2899" class="mi">G</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2900" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2901" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2902" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2903" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2904" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2905" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2906" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2907" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-2908" class="mo">⊆</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-2909" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2910" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2911" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2912" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2913" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2914" class="mi">s</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-2915" class="mo">×</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-2916" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2917" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2918" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2919" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2920" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2921" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2922" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2923" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.966em; vertical-align: -0.173em;"></span></span></nobr></span><script id="MathJax-Element-102" type="math/tex">Generated \subseteq Events \times Entities</script> saying when an event generated an entity.  An event can generate at most one entity, and if <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-103-Frame" class="MathJax"><nobr><span id="MathJax-Span-2924" class="math"><span style="display: inline-block; position: relative; width: 143px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.922em, -0.478em); top: -2.57em; left: 0em;"><span id="MathJax-Span-2925" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-2926" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2927" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2928" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2929" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-2930" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-2931" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2932" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-2933" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-2934" class="mi">G</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2935" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2936" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2937" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2938" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2939" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2940" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2941" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2942" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.045em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-103" type="math/tex">(evt,e)\in Generated</script> then <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-104-Frame" class="MathJax"><nobr><span id="MathJax-Span-2943" class="math"><span style="display: inline-block; position: relative; width: 194px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.514em); top: -2.57em; left: 0em;"><span id="MathJax-Span-2944" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2945" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2946" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2947" class="mi">n</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2948" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2949" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2950" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2951" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2952" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2953" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2954" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2955" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2956" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2957" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2958" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2959" class="mo">)</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2960" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-2961" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-2962" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2963" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2964" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2965" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2966" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2967" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2968" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2969" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-2970" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-104" type="math/tex">min(lifetime(e)) = time(evt)</script> and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-105-Frame" class="MathJax"><nobr><span id="MathJax-Span-2971" class="math"><span style="display: inline-block; position: relative; width: 145px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.951em, -0.488em); top: -2.57em; left: 0em;"><span id="MathJax-Span-2972" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2973" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2974" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2975" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2976" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2977" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2978" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-2979" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-2980" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-2981" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2982" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2983" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2984" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2985" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2986" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2987" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2988" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2989" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2990" class="mi">n</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.069em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-105" type="math/tex">type(g) = generation</script> must hold.
+</li><li> A relation <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-106-Frame" class="MathJax"><nobr><span id="MathJax-Span-2991" class="math"><span style="display: inline-block; position: relative; width: 222px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.848em, -0.534em); top: -2.57em; left: 0em;"><span id="MathJax-Span-2992" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2993" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2994" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2995" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2996" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2997" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2998" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-2999" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3000" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3001" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3002" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3003" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3004" class="mo">⊆</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-3005" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3006" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3007" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3008" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3009" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3010" class="mi">s</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-3011" class="mo">×</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-3012" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3013" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3014" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3015" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3016" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3017" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3018" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3019" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.966em; vertical-align: -0.173em;"></span></span></nobr></span><script id="MathJax-Element-106" type="math/tex">Invalidated \subseteq Events \times Entities</script> saying when an event invalidated an entity.  An event can invalidate at most one entity, and if <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-107-Frame" class="MathJax"><nobr><span id="MathJax-Span-3020" class="math"><span style="display: inline-block; position: relative; width: 149px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.922em, -0.478em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3021" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-3022" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3023" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3024" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3025" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3026" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-3027" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-3028" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3029" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-3030" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3031" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3032" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3033" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3034" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3035" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3036" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3037" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3038" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3039" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3040" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.045em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-107" type="math/tex">(evt,e)\in Invalidated</script> then <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-108-Frame" class="MathJax"><nobr><span id="MathJax-Span-3041" class="math"><span style="display: inline-block; position: relative; width: 194px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.514em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3042" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3043" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3044" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3045" class="mi">n</span><span style="font-family: STIXGeneral;" id="MathJax-Span-3046" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3047" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3048" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3049" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3050" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3051" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3052" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3053" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3054" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-3055" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3056" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-3057" class="mo">)</span><span style="font-family: STIXGeneral;" id="MathJax-Span-3058" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3059" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-3060" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3061" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3062" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3063" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-3064" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3065" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3066" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3067" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3068" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-108" type="math/tex">min(lifetime(e)) = time(evt)</script> and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-109-Frame" class="MathJax"><nobr><span id="MathJax-Span-3069" class="math"><span style="display: inline-block; position: relative; width: 154px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.488em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3070" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3071" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3072" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3073" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3074" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-3075" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3076" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-3077" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3078" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-3079" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3080" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3081" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3082" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3083" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3084" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3085" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3086" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3087" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3088" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3089" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3090" class="mi">n</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-109" type="math/tex">type(g) = invalidation</script> must hold.
+</li><li> A relation <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-110-Frame" class="MathJax"><nobr><span id="MathJax-Span-3091" class="math"><span style="display: inline-block; position: relative; width: 245px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.727em, 1000em, 2.951em, -0.527em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3092" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3093" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3094" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3095" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3096" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3097" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3098" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3099" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3100" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3101" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3102" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3103" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3104" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3105" class="mi">y</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3106" class="mo">⊆</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-3107" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3108" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3109" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3110" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3111" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3112" class="mi">s</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-3113" class="mo">×</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-3114" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3115" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3116" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3117" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3118" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3119" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3120" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3121" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3122" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3123" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.06em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-110" type="math/tex">EventActivity \subseteq Events \times Activities</script> associating activities with events, such that <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-111-Frame" class="MathJax"><nobr><span id="MathJax-Span-3124" class="math"><span style="display: inline-block; position: relative; width: 175px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.951em, -0.478em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3125" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-3126" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3127" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3128" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3129" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3130" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-3131" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3132" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3133" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3134" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3135" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-3136" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3137" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3138" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3139" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3140" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3141" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3142" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3143" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3144" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3145" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3146" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3147" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3148" class="mi">y</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.069em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-111" type="math/tex">(act,evt) \in EventActivity</script> implies <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-112-Frame" class="MathJax"><nobr><span id="MathJax-Span-3149" class="math"><span style="display: inline-block; position: relative; width: 170px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.488em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3150" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3151" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3152" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3153" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3154" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-3155" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3156" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3157" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3158" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3159" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3160" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-3161" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3162" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3163" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3164" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3165" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3166" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3167" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3168" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-3169" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3170" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3171" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3172" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3173" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-112" type="math/tex">time(evt) \in lifetime(act)</script>.
+</li><li> A relation <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-113-Frame" class="MathJax"><nobr><span id="MathJax-Span-3174" class="math"><span style="display: inline-block; position: relative; width: 430px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.577em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3175" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3176" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3177" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3178" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3179" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3180" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3181" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3182" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3183" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3184" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3185" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3186" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3187" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3188" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3189" class="mi">h</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3190" class="mo">⊆</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-3191" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3192" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3193" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3194" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3195" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3196" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3197" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3198" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3199" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3200" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3201" class="mi">n</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-3202" class="mo">×</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-3203" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3204" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3205" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3206" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3207" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3208" class="mi">s</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-3209" class="mo">×</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-3210" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3211" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3212" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3213" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3214" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3215" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3216" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3217" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3218" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3219" class="mi">s</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-3220" class="mo">×</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-3221" class="mi">P</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3222" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3223" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3224" class="mi">n</span><span id="MathJax-Span-3225" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3226" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-3227" class="mi">⊥</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-113" type="math/tex">AssociatedWith \subseteq Association \times Agents \times Activities \times Plans_\bot</script> indicating when an agent is associated with an activity, and giving the identity of the association relationship, and an optional plan. 
+</li><li> A relation <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-114-Frame" class="MathJax"><nobr><span id="MathJax-Span-3228" class="math"><span style="display: inline-block; position: relative; width: 377px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.577em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3229" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3230" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3231" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3232" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3233" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3234" class="mi">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.034em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3235" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3236" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3237" class="mo">⊆</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-3238" class="mi">D</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3239" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3240" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3241" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3242" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3243" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3244" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3245" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3246" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3247" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3248" class="mi">s</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-3249" class="mo">×</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-3250" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3251" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3252" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3253" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3254" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3255" class="mi">s</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-3256" class="mo">×</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-3257" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3258" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3259" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3260" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3261" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3262" class="mi">s</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-3263" class="mo">×</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-3264" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3265" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3266" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3267" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3268" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3269" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3270" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3271" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3272" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3273" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-114" type="math/tex">ActsFor \subseteq Delegations \times Agents \times Agents \times Activities</script> indicating when one agent acts on behalf of another with respect to a given activity.  
 </li></ol>
 
 <div class="note"><div class="note-title"><span>Note</span></div><div class="">
@@ -1477,24 +1477,24 @@
 
 <p>Recall that above we introduced a subset of interactions called <em>Derivations</em>.  These identify <em>paths</em> of the form </p>
 
-<span class="MathJax_Preview"></span><div class="MathJax_Display" role="textbox" aria-readonly="true" style="text-align: center;"><span class="MathJax" id="MathJax-Element-115-Frame" style=""><nobr><span class="math" id="MathJax-Span-3274"><span style="display: inline-block; position: relative; width: 451px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 55.8px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3275"><span class="mi" id="MathJax-Span-3276" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3277" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-3278"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-3279" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mi" id="MathJax-Span-3280" style="font-size: 70.7%; font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-3281" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">⋅</span><span class="msubsup" id="MathJax-Span-3282" style="padding-left: 4.8px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-3283" style="font-family: STIXGeneral-Italic;">g</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 10px;"><span class="mi" id="MathJax-Span-3284" style="font-size: 70.7%; font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-3285" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">⋅</span><span class="mi" id="MathJax-Span-3286" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">a</span><span class="mi" id="MathJax-Span-3287" style="font-family: STIXGeneral-Italic;">c</span><span class="msubsup" id="MathJax-Span-3288"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-3289" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mi" id="MathJax-Span-3290" style="font-size: 70.7%; font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-3291" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">⋅</span><span class="msubsup" id="MathJax-Span-3292" style="padding-left: 4.8px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.2px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-3293" style="font-family: STIXGeneral-Italic;">u</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mi" id="MathJax-Span-3294" style="font-size: 70.7%; font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-3295" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">⋅</span><span class="mi" id="MathJax-Span-3296" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">e</span><span class="mi" id="MathJax-Span-3297" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-3298"><span style="display: inline-block; position: relative; width: 30.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-3299" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="texatom" id="MathJax-Span-3300"><span class="mrow" id="MathJax-Span-3301"><span class="mi" id="MathJax-Span-3302" style="font-size: 70.7%; font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-3303" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">−</span><span class="mn" id="MathJax-Span-3304" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span></span></span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-3305" style="font-family: STIXGeneral-Regular;">⋅</span><span class="mo" id="MathJax-Span-3306" style="font-family: STIXGeneral-Regular;">.</span><span class="mo" id="MathJax-Span-3307" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">.</span><span class="mo" id="MathJax-Span-3308" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">.</span><span class="mo" id="MathJax-Span-3309" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">⋅</span><span class="mi" id="MathJax-Span-3310" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3311" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-3312"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-3313" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-3314" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-3315" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">⋅</span><span class="msubsup" id="MathJax-Span-3316" style="padding-left: 4.8px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-3317" style="font-family: STIXGeneral-Italic;">g</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 10px;"><span class="mn" id="MathJax-Span-3318" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-3319" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">⋅</span><span class="mi" id="MathJax-Span-3320" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">a</span><span class="mi" id="MathJax-Span-3321" style="font-family: STIXGeneral-Italic;">c</span><span class="msubsup" id="MathJax-Span-3322"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-3323" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-3324" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-3325" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">⋅</span><span class="msubsup" id="MathJax-Span-3326" style="padding-left: 4.8px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.2px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-3327" style="font-family: STIXGeneral-Italic;">u</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-3328" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-3329" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">⋅</span><span class="mi" id="MathJax-Span-3330" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">e</span><span class="mi" id="MathJax-Span-3331" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-3332"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-3333" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-3334" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">0</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 17.4px; vertical-align: -5.8px;"></span></span></nobr></span></div><script type="math/tex; mode=display" id="MathJax-Element-115">ent_n\cdot g_n\cdot  act_n\cdot  u_n\cdot  ent_{n-1}\cdot  ...\cdot
+<span class="MathJax_Preview"></span><div style="text-align: center;" aria-readonly="true" role="textbox" class="MathJax_Display"><span style="" id="MathJax-Element-115-Frame" class="MathJax"><nobr><span id="MathJax-Span-3274" class="math"><span style="display: inline-block; position: relative; width: 388px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.993em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3275" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3276" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3277" class="mi">n</span><span id="MathJax-Span-3278" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3279" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3280" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-3281" class="mo">⋅</span><span style="padding-left: 0.25em;" id="MathJax-Span-3282" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.951em, -0.518em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3283" class="mi">g</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.861em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3284" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-3285" class="mo">⋅</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-3286" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3287" class="mi">c</span><span id="MathJax-Span-3288" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3289" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3290" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-3291" class="mo">⋅</span><span style="padding-left: 0.25em;" id="MathJax-Span-3292" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.484em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3293" class="mi">u</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3294" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-3295" class="mo">⋅</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-3296" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3297" class="mi">n</span><span id="MathJax-Span-3298" class="msubsup"><span style="display: inline-block; position: relative; width: 1.517em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3299" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span id="MathJax-Span-3300" class="texatom"><span id="MathJax-Span-3301" class="mrow"><span style="font-size: 70.7%; font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3302" class="mi">n</span><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-3303" class="mo">−</span><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-3304" class="mn">1</span></span></span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3305" class="mo">⋅</span><span style="font-family: STIXGeneral;" id="MathJax-Span-3306" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-3307" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-3308" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-3309" class="mo">⋅</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3310" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3311" class="mi">n</span><span id="MathJax-Span-3312" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3313" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-3314" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-3315" class="mo">⋅</span><span style="padding-left: 0.25em;" id="MathJax-Span-3316" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.951em, -0.518em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3317" class="mi">g</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.861em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-3318" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-3319" class="mo">⋅</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-3320" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3321" class="mi">c</span><span id="MathJax-Span-3322" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3323" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-3324" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-3325" class="mo">⋅</span><span style="padding-left: 0.25em;" id="MathJax-Span-3326" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.484em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3327" class="mi">u</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-3328" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-3329" class="mo">⋅</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-3330" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3331" class="mi">n</span><span id="MathJax-Span-3332" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3333" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-3334" class="mn">0</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.974em; vertical-align: -0.328em;"></span></span></nobr></span></div><script id="MathJax-Element-115" type="math/tex; mode=display">ent_n\cdot g_n\cdot  act_n\cdot  u_n\cdot  ent_{n-1}\cdot  ...\cdot
 ent_1\cdot  g_1\cdot  act_1\cdot  u_1\cdot  ent_0</script>
 
-<p>where the <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-116-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3335"><span style="display: inline-block; position: relative; width: 30px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 54.1px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3336"><span class="mi" id="MathJax-Span-3337" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3338" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-3339"><span style="display: inline-block; position: relative; width: 11.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-3340" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mi" id="MathJax-Span-3341" style="font-size: 70.7%; font-family: STIXGeneral-Italic;">i</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.6px; vertical-align: -4.1px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-116">ent_i</script> are entities, <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-117-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3342"><span style="display: inline-block; position: relative; width: 30px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 54.1px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3343"><span class="mi" id="MathJax-Span-3344" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-3345" style="font-family: STIXGeneral-Italic;">c</span><span class="msubsup" id="MathJax-Span-3346"><span style="display: inline-block; position: relative; width: 11.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-3347" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mi" id="MathJax-Span-3348" style="font-size: 70.7%; font-family: STIXGeneral-Italic;">i</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.6px; vertical-align: -4.1px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-117">act_i</script> are activities, <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-118-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3349"><span style="display: inline-block; position: relative; width: 16px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(29.5px 19360px 48.8px -8.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-3350"><span class="msubsup" id="MathJax-Span-3351"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-3352" style="font-family: STIXGeneral-Italic;">g</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 10px;"><span class="mi" id="MathJax-Span-3353" style="font-size: 70.7%; font-family: STIXGeneral-Italic;">i</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.4px; vertical-align: -5.8px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-118">g_i</script> are generations, and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-119-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3354"><span style="display: inline-block; position: relative; width: 16px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(29.5px 19360px 47.1px -8.2px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-3355"><span class="msubsup" id="MathJax-Span-3356"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.2px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-3357" style="font-family: STIXGeneral-Italic;">u</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mi" id="MathJax-Span-3358" style="font-size: 70.7%; font-family: STIXGeneral-Italic;">i</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 13.6px; vertical-align: -4.1px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-119">u_i</script> are usages.
+<p>where the <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-116-Frame" class="MathJax"><nobr><span id="MathJax-Span-3335" class="math"><span style="display: inline-block; position: relative; width: 25px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.903em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3336" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3337" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3338" class="mi">n</span><span id="MathJax-Span-3339" class="msubsup"><span style="display: inline-block; position: relative; width: 0.524em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3340" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3341" class="mi">i</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.878em; vertical-align: -0.231em;"></span></span></nobr></span><script id="MathJax-Element-116" type="math/tex">ent_i</script> are entities, <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-117-Frame" class="MathJax"><nobr><span id="MathJax-Span-3342" class="math"><span style="display: inline-block; position: relative; width: 25px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.903em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3343" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3344" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3345" class="mi">c</span><span id="MathJax-Span-3346" class="msubsup"><span style="display: inline-block; position: relative; width: 0.524em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3347" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3348" class="mi">i</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.878em; vertical-align: -0.231em;"></span></span></nobr></span><script id="MathJax-Element-117" type="math/tex">act_i</script> are activities, <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-118-Frame" class="MathJax"><nobr><span id="MathJax-Span-3349" class="math"><span style="display: inline-block; position: relative; width: 13px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.428em, 1000em, 2.469em, -0.518em); top: -2.044em; left: 0em;"><span id="MathJax-Span-3350" class="mrow"><span id="MathJax-Span-3351" class="msubsup"><span style="display: inline-block; position: relative; width: 0.776em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.951em, -0.518em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3352" class="mi">g</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.861em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3353" class="mi">i</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.863em; vertical-align: -0.329em;"></span></span></nobr></span><script id="MathJax-Element-118" type="math/tex">g_i</script> are generations, and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-119-Frame" class="MathJax"><nobr><span id="MathJax-Span-3354" class="math"><span style="display: inline-block; position: relative; width: 13px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.428em, 1000em, 2.377em, -0.484em); top: -2.044em; left: 0em;"><span id="MathJax-Span-3355" class="mrow"><span id="MathJax-Span-3356" class="msubsup"><span style="display: inline-block; position: relative; width: 0.776em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.484em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3357" class="mi">u</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3358" class="mi">i</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.766em; vertical-align: -0.231em;"></span></span></nobr></span><script id="MathJax-Element-119" type="math/tex">u_i</script> are usages.
 </p>
 <p>Formally, we consider the (regular) language:
 </p>
-<span class="MathJax_Preview"></span><div class="MathJax_Display" role="textbox" aria-readonly="true" style="text-align: center;"><span class="MathJax" id="MathJax-Element-120-Frame" style=""><nobr><span class="math" id="MathJax-Span-3359"><span style="display: inline-block; position: relative; width: 525px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(29.5px 19360px 54.4px -9.2px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3360"><span class="mi" id="MathJax-Span-3361" style="font-family: STIXGeneral-Italic;">D</span><span class="mi" id="MathJax-Span-3362" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3363" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-3364" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3365" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-3366" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-3367" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3368" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3369" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-3370" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-3371" style="font-family: STIXGeneral-Italic;">P</span><span class="mi" id="MathJax-Span-3372" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-3373" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3374" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-3375" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-3376" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-3377" style="font-family: STIXGeneral-Italic; padding-left: 6px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-3378" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-3379" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3380" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3381" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3382" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3383" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3384" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-3385" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">⋅</span><span class="mo" id="MathJax-Span-3386" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">(</span><span class="mi" id="MathJax-Span-3387" style="font-family: STIXGeneral-Italic;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-3388" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-3389" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3390" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-3391" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3392" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-3393" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">⋅</span><span class="mi" id="MathJax-Span-3394" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">A</span><span class="mi" id="MathJax-Span-3395" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-3396" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3397" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3398" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-3399" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3400" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3401" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3402" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3403" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-3404" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">⋅</span><span class="mi" id="MathJax-Span-3405" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-3406" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-3407" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3408" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-3409" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3410" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-3411" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">⋅</span><span class="mi" id="MathJax-Span-3412" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-3413" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-3414" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3415" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3416" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3417" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3418" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3419" style="font-family: STIXGeneral-Italic;">s</span><span class="msubsup" id="MathJax-Span-3420"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(31.9px 19360px 54.4px -8.4px); top: -48px; left: 0px;"><span class="mo" id="MathJax-Span-3421" style="font-family: STIXGeneral-Regular;">)</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -50px; left: 6px;"><span class="mo" id="MathJax-Span-3422" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">+</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 20.9px; vertical-align: -4.4px;"></span></span></nobr></span></div><script type="math/tex; mode=display" id="MathJax-Element-120">DerivationPaths = Entities \cdot (Events \cdot Activities \cdot
+<span class="MathJax_Preview"></span><div style="text-align: center;" aria-readonly="true" role="textbox" class="MathJax_Display"><span style="" id="MathJax-Element-120-Frame" class="MathJax"><nobr><span id="MathJax-Span-3359" class="math"><span style="display: inline-block; position: relative; width: 473px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.595em, 1000em, 2.922em, -0.534em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3360" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3361" class="mi">D</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3362" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3363" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3364" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3365" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3366" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3367" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3368" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3369" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3370" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3371" class="mi">P</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3372" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3373" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3374" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3375" class="mi">s</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3376" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-3377" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3378" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3379" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3380" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3381" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3382" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3383" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3384" class="mi">s</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-3385" class="mo">⋅</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-3386" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3387" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3388" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3389" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3390" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3391" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3392" class="mi">s</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-3393" class="mo">⋅</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-3394" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3395" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3396" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3397" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3398" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3399" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3400" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3401" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3402" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3403" class="mi">s</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-3404" class="mo">⋅</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-3405" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3406" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3407" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3408" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3409" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3410" class="mi">s</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-3411" class="mo">⋅</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-3412" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3413" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3414" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3415" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3416" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3417" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3418" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3419" class="mi">s</span><span id="MathJax-Span-3420" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.922em, -0.497em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral;" id="MathJax-Span-3421" class="mo">)</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -2.516em; left: 0.35em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-3422" class="mo">+</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.17em; vertical-align: -0.252em;"></span></span></nobr></span></div><script id="MathJax-Element-120" type="math/tex; mode=display">DerivationPaths = Entities \cdot (Events \cdot Activities \cdot
 Events \cdot Entities)^+</script>
 <p>with the constraints that for each derivation path:
 </p>
 <ul>
-<li>for each substring <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-121-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3423"><span style="display: inline-block; position: relative; width: 89px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 55px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3424"><span class="mi" id="MathJax-Span-3425" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3426" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-3427" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-3428" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">⋅</span><span class="mi" id="MathJax-Span-3429" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">g</span><span class="mo" id="MathJax-Span-3430" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">⋅</span><span class="mi" id="MathJax-Span-3431" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">a</span><span class="mi" id="MathJax-Span-3432" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-3433" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 16.6px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-121">ent\cdot g \cdot act</script> we have <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-122-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3434"><span style="display: inline-block; position: relative; width: 158px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3435"><span class="mo" id="MathJax-Span-3436" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-3437" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-3438" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-3439" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mi" id="MathJax-Span-3440" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-3441" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-3442" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-3443" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-3444" style="font-family: STIXGeneral-Italic; padding-left: 6px;">G</span><span class="mi" id="MathJax-Span-3445" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3446" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-3447" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3448" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-3449" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-3450" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3451" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3452" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-122">(g,ent) \in Generated</script>  and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-123-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3453"><span style="display: inline-block; position: relative; width: 189px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3454"><span class="mo" id="MathJax-Span-3455" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-3456" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-3457" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-3458" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-3459" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-3460" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-3461" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-3462" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-3463" style="font-family: STIXGeneral-Italic; padding-left: 6px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-3464" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-3465" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3466" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-3467" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3468" style="font-family: STIXGeneral-Italic;">A</span><span class="mi" id="MathJax-Span-3469" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-3470" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3471" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3472" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-3473" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3474" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3475" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3476" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3477" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-123">(g,act) \in EventActivities</script>, and
+<li>for each substring <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-121-Frame" class="MathJax"><nobr><span id="MathJax-Span-3423" class="math"><span style="display: inline-block; position: relative; width: 78px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.951em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3424" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3425" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3426" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3427" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-3428" class="mo">⋅</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-3429" class="mi">g</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-3430" class="mo">⋅</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-3431" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3432" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3433" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.93em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-121" type="math/tex">ent\cdot g \cdot act</script> we have <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-122-Frame" class="MathJax"><nobr><span id="MathJax-Span-3434" class="math"><span style="display: inline-block; position: relative; width: 145px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.478em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3435" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-3436" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3437" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-3438" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-3439" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3440" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3441" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3442" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3443" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-3444" class="mi">G</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3445" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3446" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3447" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3448" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3449" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3450" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3451" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3452" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-122" type="math/tex">(g,ent) \in Generated</script>  and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-123-Frame" class="MathJax"><nobr><span id="MathJax-Span-3453" class="math"><span style="display: inline-block; position: relative; width: 175px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.951em, -0.478em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3454" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-3455" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3456" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-3457" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-3458" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3459" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3460" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3461" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3462" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-3463" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3464" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3465" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3466" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3467" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3468" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3469" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3470" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3471" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3472" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3473" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3474" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3475" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3476" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3477" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.069em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-123" type="math/tex">(g,act) \in EventActivities</script>, and
 </li>
-<li>for each substring <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-124-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3478"><span style="display: inline-block; position: relative; width: 89px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3479"><span class="mi" id="MathJax-Span-3480" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-3481" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-3482" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-3483" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">⋅</span><span class="mi" id="MathJax-Span-3484" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">u</span><span class="mo" id="MathJax-Span-3485" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">⋅</span><span class="mi" id="MathJax-Span-3486" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">e</span><span class="mi" id="MathJax-Span-3487" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-3488" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 12.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-124">act \cdot u \cdot ent</script> we have <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-125-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3489"><span style="display: inline-block; position: relative; width: 117px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 54.4px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3490"><span class="mo" id="MathJax-Span-3491" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-3492" style="font-family: STIXGeneral-Italic;">u</span><span class="mo" id="MathJax-Span-3493" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-3494" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mi" id="MathJax-Span-3495" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-3496" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-3497" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-3498" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-3499" style="font-family: STIXGeneral-Italic; padding-left: 6px;">U<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.8px;"></span></span><span class="mi" id="MathJax-Span-3500" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-3501" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3502" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.6px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-125">(u,ent) \in Used</script> and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-126-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3503"><span style="display: inline-block; position: relative; width: 189px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 54.4px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3504"><span class="mo" id="MathJax-Span-3505" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-3506" style="font-family: STIXGeneral-Italic;">u</span><span class="mo" id="MathJax-Span-3507" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-3508" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-3509" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-3510" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-3511" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-3512" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-3513" style="font-family: STIXGeneral-Italic; padding-left: 6px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-3514" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-3515" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3516" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-3517" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3518" style="font-family: STIXGeneral-Italic;">A</span><span class="mi" id="MathJax-Span-3519" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-3520" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3521" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3522" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-3523" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3524" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3525" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3526" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3527" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.5px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-126">(u,act) \in EventActivities</script>.
+<li>for each substring <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-124-Frame" class="MathJax"><nobr><span id="MathJax-Span-3478" class="math"><span style="display: inline-block; position: relative; width: 78px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3479" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3480" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3481" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3482" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-3483" class="mo">⋅</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-3484" class="mi">u</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-3485" class="mo">⋅</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-3486" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3487" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3488" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.721em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-124" type="math/tex">act \cdot u \cdot ent</script> we have <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-125-Frame" class="MathJax"><nobr><span id="MathJax-Span-3489" class="math"><span style="display: inline-block; position: relative; width: 107px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.922em, -0.478em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3490" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-3491" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3492" class="mi">u</span><span style="font-family: STIXGeneral;" id="MathJax-Span-3493" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-3494" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3495" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3496" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3497" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3498" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-3499" class="mi">U<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.043em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3500" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3501" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3502" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.045em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-125" type="math/tex">(u,ent) \in Used</script> and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-126-Frame" class="MathJax"><nobr><span id="MathJax-Span-3503" class="math"><span style="display: inline-block; position: relative; width: 175px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.922em, -0.478em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3504" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-3505" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3506" class="mi">u</span><span style="font-family: STIXGeneral;" id="MathJax-Span-3507" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-3508" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3509" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3510" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3511" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3512" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-3513" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3514" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3515" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3516" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3517" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3518" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3519" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3520" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3521" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3522" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3523" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3524" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3525" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3526" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3527" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.038em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-126" type="math/tex">(u,act) \in EventActivities</script>.
 </li>
 </ul>
-<p>We also consider a function <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-127-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3528"><span style="display: inline-block; position: relative; width: 368px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3529"><span class="mi" id="MathJax-Span-3530" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-3531" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3532" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-3533" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3534" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-3535" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3536" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-3537" style="font-family: STIXGeneral-Italic;">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.7px;"></span></span><span class="mi" id="MathJax-Span-3538" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-3539" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-3540" style="font-family: STIXGeneral-Italic;">m</span><span class="mo" id="MathJax-Span-3541" style="font-family: STIXGeneral-Regular; padding-left: 6px;">:</span><span class="mi" id="MathJax-Span-3542" style="font-family: STIXGeneral-Italic; padding-left: 6px;">D</span><span class="mi" id="MathJax-Span-3543" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3544" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-3545" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3546" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-3547" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-3548" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3549" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3550" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-3551" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-3552" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-3553" style="font-family: STIXGeneral-Regular; padding-left: 6px;">→</span><span class="mi" id="MathJax-Span-3554" style="font-family: STIXGeneral-Italic; padding-left: 6px;">D</span><span class="mi" id="MathJax-Span-3555" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3556" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-3557" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3558" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-3559" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-3560" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3561" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3562" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-3563" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-3564" style="font-family: STIXGeneral-Italic;">P</span><span class="mi" id="MathJax-Span-3565" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-3566" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3567" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-3568" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.6px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-127">derivedFrom : Derivations \to
+<p>We also consider a function <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-127-Frame" class="MathJax"><nobr><span id="MathJax-Span-3528" class="math"><span style="display: inline-block; position: relative; width: 329px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.763em, -0.511em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3529" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3530" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3531" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3532" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3533" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3534" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3535" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3536" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3537" class="mi">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.034em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3538" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3539" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3540" class="mi">m</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3541" class="mo">:</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-3542" class="mi">D</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3543" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3544" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3545" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3546" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3547" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3548" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3549" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3550" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3551" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3552" class="mi">s</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3553" class="mo">→</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-3554" class="mi">D</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3555" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3556" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3557" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3558" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3559" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3560" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3561" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3562" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3563" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3564" class="mi">P</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3565" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3566" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3567" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3568" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.875em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-127" type="math/tex">derivedFrom : Derivations \to
 DerivationPaths</script>  linking each derivation to its path.</p>
 
 
@@ -1505,9 +1505,9 @@
 <section id="putting-it-all-together">
 <h3><span class="secno">3.4 </span> Putting it all together </h3>
 
-<p>A <em>structure</em> <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-128-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3569"><span style="display: inline-block; position: relative; width: 18px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.4px 19360px 51.3px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3570"><span class="mi" id="MathJax-Span-3571" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-128">W</script> is a structure containing all of the above
+<p>A <em>structure</em> <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-128-Frame" class="MathJax"><nobr><span id="MathJax-Span-3569" class="math"><span style="display: inline-block; position: relative; width: 16px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.742em, 1000em, 2.763em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3570" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3571" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.843em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-128" type="math/tex">W</script> is a structure containing all of the above
 described data.  If we need to talk about the objects or relations of
-more than one structure then we may write <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-129-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3572"><span style="display: inline-block; position: relative; width: 91px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3573"><span class="msubsup" id="MathJax-Span-3574"><span style="display: inline-block; position: relative; width: 25px; height: 0px;"><span style="position: absolute; clip: rect(32.4px 19360px 51.3px -7.6px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-3575" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 16.6px;"><span class="mn" id="MathJax-Span-3576" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-3577" style="font-family: STIXGeneral-Regular;">.</span><span class="mi" id="MathJax-Span-3578" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">O</span><span class="mi" id="MathJax-Span-3579" style="font-family: STIXGeneral-Italic;">b</span><span class="mi" id="MathJax-Span-3580" style="font-family: STIXGeneral-Italic;">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-3581" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3582" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-3583" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3584" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-129">W_1.Objects</script>, <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-130-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3585"><span style="display: inline-block; position: relative; width: 88px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3586"><span class="msubsup" id="MathJax-Span-3587"><span style="display: inline-block; position: relative; width: 25px; height: 0px;"><span style="position: absolute; clip: rect(32.4px 19360px 51.3px -7.6px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-3588" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 16.6px;"><span class="mn" id="MathJax-Span-3589" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-3590" style="font-family: STIXGeneral-Regular;">.</span><span class="mi" id="MathJax-Span-3591" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.5px;"></span></span><span class="mi" id="MathJax-Span-3592" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-3593" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3594" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-3595" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-3596" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-130">W_1.Things</script>,
+more than one structure then we may write <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-129-Frame" class="MathJax"><nobr><span id="MathJax-Span-3572" class="math"><span style="display: inline-block; position: relative; width: 82px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3573" class="mrow"><span id="MathJax-Span-3574" class="msubsup"><span style="display: inline-block; position: relative; width: 1.287em; height: 0px;"><span style="position: absolute; clip: rect(1.742em, 1000em, 2.763em, -0.455em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3575" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.862em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-3576" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3577" class="mo">.</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-3578" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3579" class="mi">b</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3580" class="mi">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3581" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3582" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3583" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3584" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-129" type="math/tex">W_1.Objects</script>, <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-130-Frame" class="MathJax"><nobr><span id="MathJax-Span-3585" class="math"><span style="display: inline-block; position: relative; width: 77px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3586" class="mrow"><span id="MathJax-Span-3587" class="msubsup"><span style="display: inline-block; position: relative; width: 1.287em; height: 0px;"><span style="position: absolute; clip: rect(1.742em, 1000em, 2.763em, -0.455em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3588" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.862em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-3589" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3590" class="mo">.</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-3591" class="mi">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.077em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3592" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3593" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3594" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3595" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3596" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-130" type="math/tex">W_1.Things</script>,
 etc.; otherwise, to
 decrease notational clutter, when we consider a fixed structure then the names of the sets, relations and functions above refer to the components of that model.
 </p>
@@ -1518,7 +1518,7 @@
 
 <p>We need to link identifiers to the objects they denote.  We do this using a function which we shall call an <em>interpretation</em>.
  Thus, we consider interpretations as follows:
-An interpretation is a function  <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-131-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3597"><span style="display: inline-block; position: relative; width: 198px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -9.8px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3598"><span class="mi" id="MathJax-Span-3599" style="font-family: STIXGeneral-Italic;">ρ</span><span class="mo" id="MathJax-Span-3600" style="font-family: STIXGeneral-Regular; padding-left: 6px;">:</span><span class="mi" id="MathJax-Span-3601" style="font-family: STIXGeneral-Italic; padding-left: 6px;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span class="mi" id="MathJax-Span-3602" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-3603" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3604" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-3605" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3606" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3607" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-3608" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3609" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3610" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-3611" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-3612" style="font-family: STIXGeneral-Regular; padding-left: 6px;">→</span><span class="mi" id="MathJax-Span-3613" style="font-family: STIXGeneral-Italic; padding-left: 6px;">O</span><span class="mi" id="MathJax-Span-3614" style="font-family: STIXGeneral-Italic;">b</span><span class="mi" id="MathJax-Span-3615" style="font-family: STIXGeneral-Italic;">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-3616" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3617" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-3618" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3619" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-131">\rho : Identifiers \to Objects</script> describing
+An interpretation is a function  <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-131-Frame" class="MathJax"><nobr><span id="MathJax-Span-3597" class="math"><span style="display: inline-block; position: relative; width: 179px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.566em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3598" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3599" class="mi">ρ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3600" class="mo">:</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-3601" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3602" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3603" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3604" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3605" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3606" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3607" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3608" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3609" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3610" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3611" class="mi">s</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3612" class="mo">→</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-3613" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3614" class="mi">b</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3615" class="mi">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3616" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3617" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3618" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3619" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-131" type="math/tex">\rho : Identifiers \to Objects</script> describing
 which object is the target of each identifier. The mapping from identifiers to objects may <b>not</b> change over time. 
 </p>
 </section>
@@ -1527,57 +1527,57 @@
 <section id="semantics">
 <!--OddPage--><h2><span class="secno">4. </span> Semantics </h2>
 
-<p>In what follows, let <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-132-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3620"><span style="display: inline-block; position: relative; width: 18px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.4px 19360px 51.3px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3621"><span class="mi" id="MathJax-Span-3622" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-132">W</script> be a fixed structure with the associated sets and relations discussed in the previous section, and let <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-133-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3623"><span style="display: inline-block; position: relative; width: 7px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.4px 19360px 51px -9.2px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3624"><span class="mi" id="MathJax-Span-3625" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 14.6px; vertical-align: -1px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-133">I</script> be an interpretation of identifiers as objects in <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-134-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3626"><span style="display: inline-block; position: relative; width: 18px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.4px 19360px 51.3px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3627"><span class="mi" id="MathJax-Span-3628" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-134">W</script>.
+<p>In what follows, let <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-132-Frame" class="MathJax"><nobr><span id="MathJax-Span-3620" class="math"><span style="display: inline-block; position: relative; width: 16px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.742em, 1000em, 2.763em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3621" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3622" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.843em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-132" type="math/tex">W</script> be a fixed structure with the associated sets and relations discussed in the previous section, and let <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-133-Frame" class="MathJax"><nobr><span id="MathJax-Span-3623" class="math"><span style="display: inline-block; position: relative; width: 7px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.742em, 1000em, 2.745em, -0.534em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3624" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3625" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.824em; vertical-align: -0.063em;"></span></span></nobr></span><script id="MathJax-Element-133" type="math/tex">I</script> be an interpretation of identifiers as objects in <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-134-Frame" class="MathJax"><nobr><span id="MathJax-Span-3626" class="math"><span style="display: inline-block; position: relative; width: 16px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.742em, 1000em, 2.763em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3627" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3628" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.843em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-134" type="math/tex">W</script>.
 The annotations [WF] refer to well-formedness constraints that correspond to typing constraints.
 </p>
 
 <section id="satisfaction">
 <h3><span class="secno">4.1 </span> Satisfaction </h3>
 
-<p>Consider a formula <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-135-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3629"><span style="display: inline-block; position: relative; width: 12px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.5px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3630"><span class="mi" id="MathJax-Span-3631" style="font-family: STIXGeneral-Italic;">ϕ</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-135">\phi</script>, a structure <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-136-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3632"><span style="display: inline-block; position: relative; width: 18px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.4px 19360px 51.3px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3633"><span class="mi" id="MathJax-Span-3634" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-136">W</script> and an interpretation
- <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-137-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3635"><span style="display: inline-block; position: relative; width: 7px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.4px 19360px 51px -9.2px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3636"><span class="mi" id="MathJax-Span-3637" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 14.6px; vertical-align: -1px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-137">I</script>.
-We define notation <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-138-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3638"><span style="display: inline-block; position: relative; width: 72px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3639"><span class="mi" id="MathJax-Span-3640" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-3641" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-3642" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-3643" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-3644" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ϕ</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-138">W,\rho \models \phi</script> which means that <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-139-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3645"><span style="display: inline-block; position: relative; width: 12px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.5px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3646"><span class="mi" id="MathJax-Span-3647" style="font-family: STIXGeneral-Italic;">ϕ</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-139">\phi</script> is
- satisfied in <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-140-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3648"><span style="display: inline-block; position: relative; width: 36px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.4px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3649"><span class="mi" id="MathJax-Span-3650" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-3651" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-3652" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.6px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-140">W,\rho</script>. For atomic formulas, the definition of the
+<p>Consider a formula <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-135-Frame" class="MathJax"><nobr><span id="MathJax-Span-3629" class="math"><span style="display: inline-block; position: relative; width: 11px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.499em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3630" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3631" class="mi">ϕ</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.075em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-135" type="math/tex">\phi</script>, a structure <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-136-Frame" class="MathJax"><nobr><span id="MathJax-Span-3632" class="math"><span style="display: inline-block; position: relative; width: 16px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.742em, 1000em, 2.763em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3633" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3634" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.843em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-136" type="math/tex">W</script> and an interpretation
+ <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-137-Frame" class="MathJax"><nobr><span id="MathJax-Span-3635" class="math"><span style="display: inline-block; position: relative; width: 7px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.742em, 1000em, 2.745em, -0.534em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3636" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3637" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.824em; vertical-align: -0.063em;"></span></span></nobr></span><script id="MathJax-Element-137" type="math/tex">I</script>.
+We define notation <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-138-Frame" class="MathJax"><nobr><span id="MathJax-Span-3638" class="math"><span style="display: inline-block; position: relative; width: 65px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3639" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3640" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3641" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-3642" class="mi">ρ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3643" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-3644" class="mi">ϕ</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.075em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-138" type="math/tex">W,\rho \models \phi</script> which means that <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-139-Frame" class="MathJax"><nobr><span id="MathJax-Span-3645" class="math"><span style="display: inline-block; position: relative; width: 11px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.499em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3646" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3647" class="mi">ϕ</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.075em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-139" type="math/tex">\phi</script> is
+ satisfied in <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-140-Frame" class="MathJax"><nobr><span id="MathJax-Span-3648" class="math"><span style="display: inline-block; position: relative; width: 32px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.742em, 1000em, 2.95em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3649" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3650" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3651" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-3652" class="mi">ρ</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.043em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-140" type="math/tex">W,\rho</script>. For atomic formulas, the definition of the
  satisfaction relation is given in the next few subsections.  We give
  the standard definition of the semantics of the other formulas:
 </p>
 
-<div class="formalism" id="first-order-logic" data-count="11" data-title="Formalism 11 (first-order-logic)"><div class="ruleTitle"><a class="internalDFN" href="#first-order-logic">Formalism 11 (first-order-logic)</a></div>
+<div data-title="Formalism 11 (first-order-logic)" data-count="11" class="formalism" id="first-order-logic"><div class="ruleTitle"><a href="#first-order-logic" class="internalDFN">Formalism 11 (first-order-logic)</a></div>
 <ol>
-  <li><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-141-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3653"><span style="display: inline-block; position: relative; width: 98px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.2px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3654"><span class="mi" id="MathJax-Span-3655" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-3656" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-3657" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-3658" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-3659" style="font-family: STIXGeneral-Italic; padding-left: 6px;">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.5px;"></span></span><span class="mi" id="MathJax-Span-3660" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-3661" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-3662" style="font-family: STIXGeneral-Italic;">e</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.8px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-141">W,\rho \models True</script> always holds.</li>
-  <li><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-142-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3663"><span style="display: inline-block; position: relative; width: 103px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3664"><span class="mi" id="MathJax-Span-3665" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-3666" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-3667" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-3668" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-3669" style="font-family: STIXGeneral-Italic; padding-left: 6px;">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.7px;"></span></span><span class="mi" id="MathJax-Span-3670" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-3671" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-3672" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-3673" style="font-family: STIXGeneral-Italic;">e</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-142">W,\rho \models False</script> never holds.</li>
-  <li><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-143-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3674"><span style="display: inline-block; position: relative; width: 85px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3675"><span class="mi" id="MathJax-Span-3676" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-3677" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-3678" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-3679" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-3680" style="font-family: STIXGeneral-Regular; padding-left: 6px;">¬</span><span class="mi" id="MathJax-Span-3681" style="font-family: STIXGeneral-Italic;">ϕ</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-143">W,\rho \models \neg \phi</script> holds if and only if <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-144-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3682"><span style="display: inline-block; position: relative; width: 72px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3683"><span class="mi" id="MathJax-Span-3684" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-3685" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-3686" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-3687" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-3688" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ϕ</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-144">W,\rho \models
+  <li><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-141-Frame" class="MathJax"><nobr><span id="MathJax-Span-3653" class="math"><span style="display: inline-block; position: relative; width: 88px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.95em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3654" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3655" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3656" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-3657" class="mi">ρ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3658" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-3659" class="mi">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.077em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3660" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3661" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3662" class="mi">e</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.053em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-141" type="math/tex">W,\rho \models True</script> always holds.</li>
+  <li><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-142-Frame" class="MathJax"><nobr><span id="MathJax-Span-3663" class="math"><span style="display: inline-block; position: relative; width: 93px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3664" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3665" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3666" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-3667" class="mi">ρ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3668" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-3669" class="mi">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.034em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3670" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3671" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3672" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3673" class="mi">e</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.075em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-142" type="math/tex">W,\rho \models False</script> never holds.</li>
+  <li><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-143-Frame" class="MathJax"><nobr><span id="MathJax-Span-3674" class="math"><span style="display: inline-block; position: relative; width: 76px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3675" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3676" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3677" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-3678" class="mi">ρ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3679" class="mo">⊨</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3680" class="mi">¬</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3681" class="mi">ϕ</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.075em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-143" type="math/tex">W,\rho \models \neg \phi</script> holds if and only if <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-144-Frame" class="MathJax"><nobr><span id="MathJax-Span-3682" class="math"><span style="display: inline-block; position: relative; width: 65px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3683" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3684" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3685" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-3686" class="mi">ρ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3687" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-3688" class="mi">ϕ</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.075em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-144" type="math/tex">W,\rho \models
   \phi</script> does not hold.</li>
-  <li><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-145-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3689"><span style="display: inline-block; position: relative; width: 103px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3690"><span class="mi" id="MathJax-Span-3691" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-3692" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-3693" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-3694" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-3695" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ϕ</span><span class="mo" id="MathJax-Span-3696" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-3697" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">ψ<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.6px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-145">W,\rho \models \phi \wedge \psi</script> holds if and only if <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-146-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3698"><span style="display: inline-block; position: relative; width: 72px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3699"><span class="mi" id="MathJax-Span-3700" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-3701" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-3702" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-3703" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-3704" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ϕ</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-146">W,\rho \models
-  \phi</script> and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-147-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3705"><span style="display: inline-block; position: relative; width: 67px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.2px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3706"><span class="mi" id="MathJax-Span-3707" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-3708" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-3709" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">i</span><span class="mo" id="MathJax-Span-3710" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-3711" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ψ<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.6px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.8px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-147">W,i\models \psi</script>.</li>
-  <li><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-148-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3712"><span style="display: inline-block; position: relative; width: 103px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3713"><span class="mi" id="MathJax-Span-3714" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-3715" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-3716" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-3717" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-3718" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ϕ</span><span class="mo" id="MathJax-Span-3719" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∨</span><span class="mi" id="MathJax-Span-3720" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">ψ<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.6px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-148">W,\rho \models \phi \vee \psi</script> holds if either <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-149-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3721"><span style="display: inline-block; position: relative; width: 72px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3722"><span class="mi" id="MathJax-Span-3723" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-3724" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-3725" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-3726" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-3727" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ϕ</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-149">W,\rho \models \phi</script>
-  or <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-150-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3728"><span style="display: inline-block; position: relative; width: 72px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.2px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3729"><span class="mi" id="MathJax-Span-3730" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-3731" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-3732" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-3733" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-3734" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ψ<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.6px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.8px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-150">W,\rho \models \psi</script> holds.</li>
-  <li><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-151-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3735"><span style="display: inline-block; position: relative; width: 113px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.8px 19360px 56px -7.6px); top: -49px; left: 0px;"><span class="mrow" id="MathJax-Span-3736"><span class="mi" id="MathJax-Span-3737" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-3738" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-3739" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-3740" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-3741" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ϕ</span><span class="mo" id="MathJax-Span-3742" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⇒</span><span class="mi" id="MathJax-Span-3743" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ψ<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.6px;"></span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-151">W,\rho \models \phi \Rightarrow \psi</script> holds if <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-152-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3744"><span style="display: inline-block; position: relative; width: 72px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3745"><span class="mi" id="MathJax-Span-3746" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-3747" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-3748" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-3749" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-3750" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ϕ</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-152">W,\rho \models \phi</script>
-  implies <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-153-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3751"><span style="display: inline-block; position: relative; width: 72px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.2px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3752"><span class="mi" id="MathJax-Span-3753" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-3754" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-3755" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-3756" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-3757" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ψ<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.6px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.8px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-153">W,\rho \models \psi</script>.</li>
-  <li><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-154-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3758"><span style="display: inline-block; position: relative; width: 98px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3759"><span class="mi" id="MathJax-Span-3760" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-3761" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-3762" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-3763" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-3764" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∃</span><span class="mi" id="MathJax-Span-3765" style="font-family: STIXGeneral-Italic;">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.1px;"></span></span><span class="mo" id="MathJax-Span-3766" style="font-family: STIXGeneral-Regular;">.</span><span class="mi" id="MathJax-Span-3767" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ϕ</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-154">W,\rho \models \exists x. \phi</script> holds if there exists some <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-155-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3768"><span style="display: inline-block; position: relative; width: 106px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.5px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3769"><span class="mi" id="MathJax-Span-3770" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-3771" style="font-family: STIXGeneral-Italic;">b</span><span class="mi" id="MathJax-Span-3772" style="font-family: STIXGeneral-Italic;">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mo" id="MathJax-Span-3773" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-3774" style="font-family: STIXGeneral-Italic; padding-left: 6px;">O</span><span class="mi" id="MathJax-Span-3775" style="font-family: STIXGeneral-Italic;">b</span><span class="mi" id="MathJax-Span-3776" style="font-family: STIXGeneral-Italic;">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-3777" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3778" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-3779" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3780" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-155">obj \in
-  Objects</script> such that <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-156-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3781"><span style="display: inline-block; position: relative; width: 150px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3782"><span class="mi" id="MathJax-Span-3783" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-3784" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-3785" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-3786" style="font-family: STIXGeneral-Regular;">[</span><span class="mi" id="MathJax-Span-3787" style="font-family: STIXGeneral-Italic;">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.1px;"></span></span><span class="mo" id="MathJax-Span-3788" style="font-family: STIXGeneral-Regular; padding-left: 6px;">:<span style="font-family: STIXGeneral-Regular; font-style: normal; font-weight: normal;">=</span></span><span class="mi" id="MathJax-Span-3789" style="font-family: STIXGeneral-Italic; padding-left: 6px;">o</span><span class="mi" id="MathJax-Span-3790" style="font-family: STIXGeneral-Italic;">b</span><span class="mi" id="MathJax-Span-3791" style="font-family: STIXGeneral-Italic;">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mo" id="MathJax-Span-3792" style="font-family: STIXGeneral-Regular;">]</span><span class="mo" id="MathJax-Span-3793" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-3794" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ϕ</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-156">W,\rho[x:=obj] \models \phi</script>.</li>
-  <li><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-157-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3795"><span style="display: inline-block; position: relative; width: 100px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3796"><span class="mi" id="MathJax-Span-3797" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-3798" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-3799" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-3800" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-3801" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∀</span><span class="mi" id="MathJax-Span-3802" style="font-family: STIXGeneral-Italic;">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.1px;"></span></span><span class="mo" id="MathJax-Span-3803" style="font-family: STIXGeneral-Regular;">.</span><span class="mi" id="MathJax-Span-3804" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ϕ</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-157">W,\rho \models \forall x. \phi</script> holds if there for every <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-158-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3805"><span style="display: inline-block; position: relative; width: 106px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.5px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3806"><span class="mi" id="MathJax-Span-3807" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-3808" style="font-family: STIXGeneral-Italic;">b</span><span class="mi" id="MathJax-Span-3809" style="font-family: STIXGeneral-Italic;">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mo" id="MathJax-Span-3810" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-3811" style="font-family: STIXGeneral-Italic; padding-left: 6px;">O</span><span class="mi" id="MathJax-Span-3812" style="font-family: STIXGeneral-Italic;">b</span><span class="mi" id="MathJax-Span-3813" style="font-family: STIXGeneral-Italic;">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-3814" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3815" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-3816" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3817" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-158">obj \in
-  Objects</script> we have <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-159-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3818"><span style="display: inline-block; position: relative; width: 150px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3819"><span class="mi" id="MathJax-Span-3820" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-3821" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-3822" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-3823" style="font-family: STIXGeneral-Regular;">[</span><span class="mi" id="MathJax-Span-3824" style="font-family: STIXGeneral-Italic;">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.1px;"></span></span><span class="mo" id="MathJax-Span-3825" style="font-family: STIXGeneral-Regular; padding-left: 6px;">:<span style="font-family: STIXGeneral-Regular; font-style: normal; font-weight: normal;">=</span></span><span class="mi" id="MathJax-Span-3826" style="font-family: STIXGeneral-Italic; padding-left: 6px;">o</span><span class="mi" id="MathJax-Span-3827" style="font-family: STIXGeneral-Italic;">b</span><span class="mi" id="MathJax-Span-3828" style="font-family: STIXGeneral-Italic;">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mo" id="MathJax-Span-3829" style="font-family: STIXGeneral-Regular;">]</span><span class="mo" id="MathJax-Span-3830" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-3831" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ϕ</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-159">W,\rho[x:=obj] \models \phi</script>.</li>
+  <li><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-145-Frame" class="MathJax"><nobr><span id="MathJax-Span-3689" class="math"><span style="display: inline-block; position: relative; width: 95px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3690" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3691" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3692" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-3693" class="mi">ρ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3694" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-3695" class="mi">ϕ</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-3696" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-3697" class="mi">ψ<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.084em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.075em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-145" type="math/tex">W,\rho \models \phi \wedge \psi</script> holds if and only if <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-146-Frame" class="MathJax"><nobr><span id="MathJax-Span-3698" class="math"><span style="display: inline-block; position: relative; width: 65px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3699" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3700" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3701" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-3702" class="mi">ρ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3703" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-3704" class="mi">ϕ</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.075em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-146" type="math/tex">W,\rho \models
+  \phi</script> and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-147-Frame" class="MathJax"><nobr><span id="MathJax-Span-3705" class="math"><span style="display: inline-block; position: relative; width: 62px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.95em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3706" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3707" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3708" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-3709" class="mi">i</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3710" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-3711" class="mi">ψ<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.084em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.053em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-147" type="math/tex">W,i\models \psi</script>.</li>
+  <li><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-148-Frame" class="MathJax"><nobr><span id="MathJax-Span-3712" class="math"><span style="display: inline-block; position: relative; width: 95px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3713" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3714" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3715" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-3716" class="mi">ρ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3717" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-3718" class="mi">ϕ</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-3719" class="mo">∨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-3720" class="mi">ψ<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.084em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.075em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-148" type="math/tex">W,\rho \models \phi \vee \psi</script> holds if either <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-149-Frame" class="MathJax"><nobr><span id="MathJax-Span-3721" class="math"><span style="display: inline-block; position: relative; width: 65px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3722" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3723" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3724" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-3725" class="mi">ρ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3726" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-3727" class="mi">ϕ</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.075em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-149" type="math/tex">W,\rho \models \phi</script>
+  or <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-150-Frame" class="MathJax"><nobr><span id="MathJax-Span-3728" class="math"><span style="display: inline-block; position: relative; width: 65px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.95em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3729" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3730" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3731" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-3732" class="mi">ρ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3733" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-3734" class="mi">ψ<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.084em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.053em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-150" type="math/tex">W,\rho \models \psi</script> holds.</li>
+  <li><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-151-Frame" class="MathJax"><nobr><span id="MathJax-Span-3735" class="math"><span style="display: inline-block; position: relative; width: 103px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3736" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3737" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3738" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-3739" class="mi">ρ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3740" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-3741" class="mi">ϕ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3742" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-3743" class="mi">ψ<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.084em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.075em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-151" type="math/tex">W,\rho \models \phi \Rightarrow \psi</script> holds if <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-152-Frame" class="MathJax"><nobr><span id="MathJax-Span-3744" class="math"><span style="display: inline-block; position: relative; width: 65px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3745" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3746" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3747" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-3748" class="mi">ρ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3749" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-3750" class="mi">ϕ</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.075em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-152" type="math/tex">W,\rho \models \phi</script>
+  implies <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-153-Frame" class="MathJax"><nobr><span id="MathJax-Span-3751" class="math"><span style="display: inline-block; position: relative; width: 65px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.95em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3752" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3753" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3754" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-3755" class="mi">ρ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3756" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-3757" class="mi">ψ<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.084em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.053em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-153" type="math/tex">W,\rho \models \psi</script>.</li>
+  <li><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-154-Frame" class="MathJax"><nobr><span id="MathJax-Span-3758" class="math"><span style="display: inline-block; position: relative; width: 90px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3759" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3760" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3761" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-3762" class="mi">ρ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3763" class="mo">⊨</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3764" class="mi">∃</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3765" class="mi">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3766" class="mo">.</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-3767" class="mi">ϕ</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.075em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-154" type="math/tex">W,\rho \models \exists x. \phi</script> holds if there exists some <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-155-Frame" class="MathJax"><nobr><span id="MathJax-Span-3768" class="math"><span style="display: inline-block; position: relative; width: 97px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.499em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3769" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3770" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3771" class="mi">b</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3772" class="mi">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3773" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-3774" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3775" class="mi">b</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3776" class="mi">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3777" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3778" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3779" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3780" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-155" type="math/tex">obj \in
+  Objects</script> such that <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-156-Frame" class="MathJax"><nobr><span id="MathJax-Span-3781" class="math"><span style="display: inline-block; position: relative; width: 136px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3782" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3783" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3784" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-3785" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-3786" class="mo">[</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3787" class="mi">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3788" class="mo">:<span style="font-family: STIXGeneral; font-style: normal; font-weight: normal;">=</span></span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-3789" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3790" class="mi">b</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3791" class="mi">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3792" class="mo">]</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3793" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-3794" class="mi">ϕ</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-156" type="math/tex">W,\rho[x:=obj] \models \phi</script>.</li>
+  <li><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-157-Frame" class="MathJax"><nobr><span id="MathJax-Span-3795" class="math"><span style="display: inline-block; position: relative; width: 90px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3796" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3797" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3798" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-3799" class="mi">ρ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3800" class="mo">⊨</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3801" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3802" class="mi">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3803" class="mo">.</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-3804" class="mi">ϕ</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.075em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-157" type="math/tex">W,\rho \models \forall x. \phi</script> holds if there for every <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-158-Frame" class="MathJax"><nobr><span id="MathJax-Span-3805" class="math"><span style="display: inline-block; position: relative; width: 97px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.499em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3806" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3807" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3808" class="mi">b</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3809" class="mi">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3810" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-3811" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3812" class="mi">b</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3813" class="mi">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3814" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3815" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3816" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3817" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-158" type="math/tex">obj \in
+  Objects</script> we have <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-159-Frame" class="MathJax"><nobr><span id="MathJax-Span-3818" class="math"><span style="display: inline-block; position: relative; width: 136px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3819" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3820" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3821" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-3822" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-3823" class="mo">[</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3824" class="mi">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3825" class="mo">:<span style="font-family: STIXGeneral; font-style: normal; font-weight: normal;">=</span></span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-3826" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3827" class="mi">b</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3828" class="mi">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3829" class="mo">]</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3830" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-3831" class="mi">ϕ</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-159" type="math/tex">W,\rho[x:=obj] \models \phi</script>.</li>
   </ol></div>
 
 <div class="remark">
   <p>In the semantics above, note that the domain of quantification is
-  the set of <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-160-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3832"><span style="display: inline-block; position: relative; width: 58px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.8px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3833"><span class="mi" id="MathJax-Span-3834" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-3835" style="font-family: STIXGeneral-Italic;">b</span><span class="mi" id="MathJax-Span-3836" style="font-family: STIXGeneral-Italic;">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-3837" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3838" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-3839" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3840" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-160">Objects</script>; that is, quantifiers range over entities,
+  the set of <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-160-Frame" class="MathJax"><nobr><span id="MathJax-Span-3832" class="math"><span style="display: inline-block; position: relative; width: 53px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.466em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3833" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3834" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3835" class="mi">b</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3836" class="mi">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3837" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3838" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3839" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3840" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-160" type="math/tex">Objects</script>; that is, quantifiers range over entities,
   activities, agents, or interactions (which are in turn further
-  subdivided into types of interactions).  <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-161-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3841"><span style="display: inline-block; position: relative; width: 55px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.9px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3842"><span class="mi" id="MathJax-Span-3843" style="font-family: STIXGeneral-Italic;">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.5px;"></span></span><span class="mi" id="MathJax-Span-3844" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-3845" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3846" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-3847" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-3848" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-161">Things</script> and relations
+  subdivided into types of interactions).  <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-161-Frame" class="MathJax"><nobr><span id="MathJax-Span-3841" class="math"><span style="display: inline-block; position: relative; width: 48px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.467em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3842" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3843" class="mi">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.077em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3844" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3845" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3846" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3847" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3848" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-161" type="math/tex">Things</script> and relations
   cannot be referenced directly by identifiers.  
 </p>
   </div>
 
   <div class="remark">
-    <p>A PROV instance <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-162-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3849"><span style="display: inline-block; position: relative; width: 7px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.4px 19360px 51px -9.2px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3850"><span class="mi" id="MathJax-Span-3851" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 14.6px; vertical-align: -1px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-162">I</script> consists of a set of statements, each of
+    <p>A PROV instance <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-162-Frame" class="MathJax"><nobr><span id="MathJax-Span-3849" class="math"><span style="display: inline-block; position: relative; width: 7px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.742em, 1000em, 2.745em, -0.534em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3850" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3851" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.824em; vertical-align: -0.063em;"></span></span></nobr></span><script id="MathJax-Element-162" type="math/tex">I</script> consists of a set of statements, each of
     which can be translated to an atomic formula following the
     definitional rules in PROV-CONSTRAINTS, possibly by introducing
     fresh existential variables.  Thus, we can view an
-    instance <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-163-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3852"><span style="display: inline-block; position: relative; width: 7px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.4px 19360px 51px -9.2px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3853"><span class="mi" id="MathJax-Span-3854" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 14.6px; vertical-align: -1px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-163">I</script> as a set of atomic formulas <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-164-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3855"><span style="display: inline-block; position: relative; width: 93px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55.8px -7.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3856"><span class="mo" id="MathJax-Span-3857" style="font-family: STIXGeneral-Regular;">{</span><span class="msubsup" id="MathJax-Span-3858"><span style="display: inline-block; position: relative; width: 20.5px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.5px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-3859" style="font-family: STIXGeneral-Italic;">ϕ</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 12px;"><span class="mn" id="MathJax-Span-3860" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-3861" style="font-family: STIXGeneral-Regular;">,</span><span class="mo" id="MathJax-Span-3862" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">…</span><span class="mo" id="MathJax-Span-3863" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">,</span><span class="msubsup" id="MathJax-Span-3864" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 20.5px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.5px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-3865" style="font-family: STIXGeneral-Italic;">ϕ</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 12px;"><span class="mi" id="MathJax-Span-3866" style="font-size: 70.7%; font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-3867" style="font-family: STIXGeneral-Regular;">}</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 20px; vertical-align: -5.8px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-164">\{\phi_1,\ldots,\phi_n\}</script>, or equivalently a
-    single formula <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-165-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3868"><span style="display: inline-block; position: relative; width: 192px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55.8px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3869"><span class="mi" id="MathJax-Span-3870" style="font-family: STIXGeneral-Regular;">∃</span><span class="msubsup" id="MathJax-Span-3871"><span style="display: inline-block; position: relative; width: 17.4px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -9.5px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-3872" style="font-family: STIXGeneral-Italic;">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.1px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8.9px;"><span class="mn" id="MathJax-Span-3873" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-3874" style="font-family: STIXGeneral-Regular;">,</span><span class="mo" id="MathJax-Span-3875" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">…</span><span class="mo" id="MathJax-Span-3876" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">,</span><span class="msubsup" id="MathJax-Span-3877" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 17.4px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -9.5px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-3878" style="font-family: STIXGeneral-Italic;">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.1px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8.9px;"><span class="mi" id="MathJax-Span-3879" style="font-size: 70.7%; font-family: STIXGeneral-Italic;">k<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.2px;"></span></span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-3880" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-3881" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span><span class="msubsup" id="MathJax-Span-3882"><span style="display: inline-block; position: relative; width: 20.5px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.5px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-3883" style="font-family: STIXGeneral-Italic;">ϕ</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 12px;"><span class="mn" id="MathJax-Span-3884" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-3885" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mo" id="MathJax-Span-3886" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">⋯</span><span class="mo" id="MathJax-Span-3887" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="msubsup" id="MathJax-Span-3888" style="padding-left: 4.8px;"><span style="display: inline-block; position: relative; width: 20.5px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.5px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-3889" style="font-family: STIXGeneral-Italic;">ϕ</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 12px;"><span class="mi" id="MathJax-Span-3890" style="font-size: 70.7%; font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 20px; vertical-align: -5.8px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-165">\exists x_1,\ldots,x_k.~\phi_1 \wedge \cdots
-    \wedge \phi_n</script>, where <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-166-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3891"><span style="display: inline-block; position: relative; width: 71px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 54.1px -9.5px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3892"><span class="msubsup" id="MathJax-Span-3893"><span style="display: inline-block; position: relative; width: 17.4px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -9.5px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-3894" style="font-family: STIXGeneral-Italic;">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.1px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8.9px;"><span class="mn" id="MathJax-Span-3895" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-3896" style="font-family: STIXGeneral-Regular;">,</span><span class="mo" id="MathJax-Span-3897" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">…</span><span class="mo" id="MathJax-Span-3898" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">,</span><span class="msubsup" id="MathJax-Span-3899" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 17.4px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -9.5px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-3900" style="font-family: STIXGeneral-Italic;">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.1px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8.9px;"><span class="mi" id="MathJax-Span-3901" style="font-size: 70.7%; font-family: STIXGeneral-Italic;">k<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.2px;"></span></span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 13.6px; vertical-align: -4.1px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-166">x_1,\ldots,x_k</script> are the existential
-    variables of <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-167-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3902"><span style="display: inline-block; position: relative; width: 7px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.4px 19360px 51px -9.2px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3903"><span class="mi" id="MathJax-Span-3904" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 14.6px; vertical-align: -1px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-167">I</script>.
+    instance <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-163-Frame" class="MathJax"><nobr><span id="MathJax-Span-3852" class="math"><span style="display: inline-block; position: relative; width: 7px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.742em, 1000em, 2.745em, -0.534em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3853" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3854" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.824em; vertical-align: -0.063em;"></span></span></nobr></span><script id="MathJax-Element-163" type="math/tex">I</script> as a set of atomic formulas <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-164-Frame" class="MathJax"><nobr><span id="MathJax-Span-3855" class="math"><span style="display: inline-block; position: relative; width: 84px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.992em, -0.426em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3856" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-3857" class="mo">{</span><span id="MathJax-Span-3858" class="msubsup"><span style="display: inline-block; position: relative; width: 1.068em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.499em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3859" class="mi">ϕ</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.862em; left: 0.643em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-3860" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3861" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-3862" class="mo">…</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-3863" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-3864" class="msubsup"><span style="display: inline-block; position: relative; width: 1.068em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.499em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3865" class="mi">ϕ</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.862em; left: 0.643em;"><span style="font-size: 70.7%; font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3866" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3867" class="mo">}</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.12em; vertical-align: -0.326em;"></span></span></nobr></span><script id="MathJax-Element-164" type="math/tex">\{\phi_1,\ldots,\phi_n\}</script>, or equivalently a
+    single formula <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-165-Frame" class="MathJax"><nobr><span id="MathJax-Span-3868" class="math"><span style="display: inline-block; position: relative; width: 176px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.992em, -0.453em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3869" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-3870" class="mi">∃</span><span id="MathJax-Span-3871" class="msubsup"><span style="display: inline-block; position: relative; width: 0.89em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.553em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3872" class="mi">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.464em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-3873" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3874" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-3875" class="mo">…</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-3876" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-3877" class="msubsup"><span style="display: inline-block; position: relative; width: 0.89em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.553em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3878" class="mi">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.464em;"><span style="font-size: 70.7%; font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3879" class="mi">k<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.012em;"></span></span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3880" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-3881" class="mtext">&nbsp;</span><span id="MathJax-Span-3882" class="msubsup"><span style="display: inline-block; position: relative; width: 1.068em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.499em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3883" class="mi">ϕ</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.862em; left: 0.643em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-3884" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-3885" class="mo">∧</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-3886" class="mo">⋯</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-3887" class="mo">∧</span><span style="padding-left: 0.25em;" id="MathJax-Span-3888" class="msubsup"><span style="display: inline-block; position: relative; width: 1.068em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.499em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3889" class="mi">ϕ</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.862em; left: 0.643em;"><span style="font-size: 70.7%; font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3890" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.12em; vertical-align: -0.326em;"></span></span></nobr></span><script id="MathJax-Element-165" type="math/tex">\exists x_1,\ldots,x_k.~\phi_1 \wedge \cdots
+    \wedge \phi_n</script>, where <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-166-Frame" class="MathJax"><nobr><span id="MathJax-Span-3891" class="math"><span style="display: inline-block; position: relative; width: 64px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.903em, -0.553em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3892" class="mrow"><span id="MathJax-Span-3893" class="msubsup"><span style="display: inline-block; position: relative; width: 0.89em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.553em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3894" class="mi">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.464em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-3895" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3896" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-3897" class="mo">…</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-3898" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-3899" class="msubsup"><span style="display: inline-block; position: relative; width: 0.89em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.553em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3900" class="mi">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.464em;"><span style="font-size: 70.7%; font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3901" class="mi">k<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.012em;"></span></span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.766em; vertical-align: -0.231em;"></span></span></nobr></span><script id="MathJax-Element-166" type="math/tex">x_1,\ldots,x_k</script> are the existential
+    variables of <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-167-Frame" class="MathJax"><nobr><span id="MathJax-Span-3902" class="math"><span style="display: inline-block; position: relative; width: 7px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.742em, 1000em, 2.745em, -0.534em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3903" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3904" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.824em; vertical-align: -0.063em;"></span></span></nobr></span><script id="MathJax-Element-167" type="math/tex">I</script>.
     </p>
     </div>
 
@@ -1587,9 +1587,9 @@
 <h3><span class="secno">4.2 </span> Attribute matching </h3>
 
 
-<p>We say that an object <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-168-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3905"><span style="display: inline-block; position: relative; width: 25px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.5px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3906"><span class="mi" id="MathJax-Span-3907" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-3908" style="font-family: STIXGeneral-Italic;">b</span><span class="mi" id="MathJax-Span-3909" style="font-family: STIXGeneral-Italic;">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-168">obj</script> matches attributes <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-169-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3910"><span style="display: inline-block; position: relative; width: 139px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 54px -7.3px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3911"><span class="mo" id="MathJax-Span-3912" style="font-family: STIXGeneral-Regular;">[</span><span class="mi" id="MathJax-Span-3913" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-3914" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3915" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="msubsup" id="MathJax-Span-3916"><span style="display: inline-block; position: relative; width: 16px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51px -8.1px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-3917" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7.6px;"><span class="mn" id="MathJax-Span-3918" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-3919" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-3920" style="font-family: STIXGeneral-Italic; padding-left: 6px;">v</span><span class="mi" id="MathJax-Span-3921" style="font-family: STIXGeneral-Italic;">a</span><span class="msubsup" id="MathJax-Span-3922"><span style="display: inline-block; position: relative; width: 13.4px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 51.2px -8.2px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-3923" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5px;"><span class="mn" id="MathJax-Span-3924" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-3925" style="font-family: STIXGeneral-Regular;">,</span><span class="mo" id="MathJax-Span-3926" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">.</span><span class="mo" id="MathJax-Span-3927" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">.</span><span class="mo" id="MathJax-Span-3928" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">.</span><span class="mo" id="MathJax-Span-3929" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">]</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.2px; vertical-align: -4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-169">[attr_1=val_1,...]</script> in structure <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-170-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3930"><span style="display: inline-block; position: relative; width: 18px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.4px 19360px 51.3px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3931"><span class="mi" id="MathJax-Span-3932" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-170">W</script> provided:
-for each attribute <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-171-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3933"><span style="display: inline-block; position: relative; width: 34px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 54.1px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3934"><span class="mi" id="MathJax-Span-3935" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-3936" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3937" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="msubsup" id="MathJax-Span-3938"><span style="display: inline-block; position: relative; width: 13px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51px -8.1px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-3939" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7.6px;"><span class="mi" id="MathJax-Span-3940" style="font-size: 70.7%; font-family: STIXGeneral-Italic;">i</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.6px; vertical-align: -4.1px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-171">attr_i</script>, we have <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-172-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3941"><span style="display: inline-block; position: relative; width: 197px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3942"><span class="mi" id="MathJax-Span-3943" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-3944" style="font-family: STIXGeneral-Italic;">a</span><span class="msubsup" id="MathJax-Span-3945"><span style="display: inline-block; position: relative; width: 10.4px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 51.2px -8.2px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-3946" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5px;"><span class="mi" id="MathJax-Span-3947" style="font-size: 70.7%; font-family: STIXGeneral-Italic;">i</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-3948" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-3949" style="font-family: STIXGeneral-Italic; padding-left: 6px;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-3950" style="font-family: STIXGeneral-Regular;">.</span><span class="mi" id="MathJax-Span-3951" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">v</span><span class="mi" id="MathJax-Span-3952" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-3953" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-3954" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-3955" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-3956" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-3957" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-3958" style="font-family: STIXGeneral-Italic;">b</span><span class="mi" id="MathJax-Span-3959" style="font-family: STIXGeneral-Italic;">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mo" id="MathJax-Span-3960" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-3961" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-3962" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3963" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="msubsup" id="MathJax-Span-3964"><span style="display: inline-block; position: relative; width: 13px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51px -8.1px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-3965" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7.6px;"><span class="mi" id="MathJax-Span-3966" style="font-size: 70.7%; font-family: STIXGeneral-Italic;">i</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-3967" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-172">val_i \in W.value(obj,attr_i)</script>.
-This is sometimes abbreviated as: <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-173-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3968"><span style="display: inline-block; position: relative; width: 153px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3969"><span class="mi" id="MathJax-Span-3970" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-3971" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-3972" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3973" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-3974" style="font-family: STIXGeneral-Italic;">h</span><span class="mo" id="MathJax-Span-3975" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-3976" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-3977" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-3978" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">o</span><span class="mi" id="MathJax-Span-3979" style="font-family: STIXGeneral-Italic;">b</span><span class="mi" id="MathJax-Span-3980" style="font-family: STIXGeneral-Italic;">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mo" id="MathJax-Span-3981" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-3982" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-3983" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3984" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3985" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-3986" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-3987" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-173">match(W,obj,attrs)</script>.
+<p>We say that an object <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-168-Frame" class="MathJax"><nobr><span id="MathJax-Span-3905" class="math"><span style="display: inline-block; position: relative; width: 22px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.499em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3906" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3907" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3908" class="mi">b</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3909" class="mi">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-168" type="math/tex">obj</script> matches attributes <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-169-Frame" class="MathJax"><nobr><span id="MathJax-Span-3910" class="math"><span style="display: inline-block; position: relative; width: 126px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.901em, -0.438em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3911" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-3912" class="mo">[</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3913" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3914" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3915" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span id="MathJax-Span-3916" class="msubsup"><span style="display: inline-block; position: relative; width: 0.811em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.745em, -0.481em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3917" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.386em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-3918" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3919" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-3920" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3921" class="mi">a</span><span id="MathJax-Span-3922" class="msubsup"><span style="display: inline-block; position: relative; width: 0.717em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.756em, -0.485em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3923" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.291em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-3924" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3925" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-3926" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-3927" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-3928" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-3929" class="mo">]</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.023em; vertical-align: -0.229em;"></span></span></nobr></span><script id="MathJax-Element-169" type="math/tex">[attr_1=val_1,...]</script> in structure <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-170-Frame" class="MathJax"><nobr><span id="MathJax-Span-3930" class="math"><span style="display: inline-block; position: relative; width: 16px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.742em, 1000em, 2.763em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3931" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3932" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.843em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-170" type="math/tex">W</script> provided:
+for each attribute <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-171-Frame" class="MathJax"><nobr><span id="MathJax-Span-3933" class="math"><span style="display: inline-block; position: relative; width: 30px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.903em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3934" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3935" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3936" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3937" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span id="MathJax-Span-3938" class="msubsup"><span style="display: inline-block; position: relative; width: 0.636em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.745em, -0.481em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3939" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.386em;"><span style="font-size: 70.7%; font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3940" class="mi">i</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.878em; vertical-align: -0.231em;"></span></span></nobr></span><script id="MathJax-Element-171" type="math/tex">attr_i</script>, we have <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-172-Frame" class="MathJax"><nobr><span id="MathJax-Span-3941" class="math"><span style="display: inline-block; position: relative; width: 178px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.506em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3942" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3943" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3944" class="mi">a</span><span id="MathJax-Span-3945" class="msubsup"><span style="display: inline-block; position: relative; width: 0.541em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.756em, -0.485em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3946" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.291em;"><span style="font-size: 70.7%; font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3947" class="mi">i</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-3948" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-3949" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3950" class="mo">.</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-3951" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3952" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3953" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3954" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3955" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-3956" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3957" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3958" class="mi">b</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3959" class="mi">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3960" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-3961" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3962" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3963" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span id="MathJax-Span-3964" class="msubsup"><span style="display: inline-block; position: relative; width: 0.636em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.745em, -0.481em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3965" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.386em;"><span style="font-size: 70.7%; font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3966" class="mi">i</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3967" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-172" type="math/tex">val_i \in W.value(obj,attr_i)</script>.
+This is sometimes abbreviated as: <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-173-Frame" class="MathJax"><nobr><span id="MathJax-Span-3968" class="math"><span style="display: inline-block; position: relative; width: 138px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.514em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3969" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3970" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3971" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3972" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3973" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3974" class="mi">h</span><span style="font-family: STIXGeneral;" id="MathJax-Span-3975" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3976" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3977" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-3978" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3979" class="mi">b</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3980" class="mi">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3981" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-3982" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3983" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3984" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3985" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3986" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-3987" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-173" type="math/tex">match(W,obj,attrs)</script>.
 </p>
     
 </section>
@@ -1601,23 +1601,23 @@
 
 <h4><span class="secno">4.3.1 </span> Entity </h4>
 
-<p>An entity formula is of the form <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-174-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-3988"><span style="display: inline-block; position: relative; width: 113px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-3989"><span class="mi" id="MathJax-Span-3990" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-3991" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-3992" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3993" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3994" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-3995" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-3996" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-3997" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-3998" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-3999" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4000" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-4001" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4002" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4003" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-4004" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-4005" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-174">entity(id,attrs)</script> where <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-175-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4006"><span style="display: inline-block; position: relative; width: 16px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4007"><span class="mi" id="MathJax-Span-4008" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4009" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-175">id</script> denotes an entity.
-</p>
-<p>Entity formulas <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-176-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4010"><span style="display: inline-block; position: relative; width: 113px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4011"><span class="mi" id="MathJax-Span-4012" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4013" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-4014" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4015" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4016" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4017" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-4018" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-4019" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4020" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-4021" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4022" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-4023" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4024" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4025" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-4026" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-4027" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-176">entity(id,attrs)</script> can be interpreted as follows:
+<p>An entity formula is of the form <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-174-Frame" class="MathJax"><nobr><span id="MathJax-Span-3988" class="math"><span style="display: inline-block; position: relative; width: 104px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-3989" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3990" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3991" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3992" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3993" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3994" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3995" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-3996" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3997" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-3998" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-3999" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4000" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4001" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4002" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4003" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4004" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4005" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-174" type="math/tex">entity(id,attrs)</script> where <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-175-Frame" class="MathJax"><nobr><span id="MathJax-Span-4006" class="math"><span style="display: inline-block; position: relative; width: 14px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.477em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4007" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4008" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4009" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-175" type="math/tex">id</script> denotes an entity.
 </p>
-<div class="formalism" id="rule_12" data-count="12" data-title="Formalism 12 (rule_12)"><div class="ruleTitle"><a class="internalDFN" href="#rule_12">Formalism 12 (rule_12)</a></div>
- <p><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-177-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4028"><span style="display: inline-block; position: relative; width: 172px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4029"><span class="mi" id="MathJax-Span-4030" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-4031" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4032" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-4033" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-4034" style="font-family: STIXGeneral-Italic; padding-left: 6px;">e</span><span class="mi" id="MathJax-Span-4035" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-4036" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4037" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4038" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4039" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-4040" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-4041" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4042" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-4043" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4044" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-4045" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4046" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4047" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-4048" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-4049" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-177">W,\rho \models entity(id,attrs)</script> holds if and only if:</p>
+<p>Entity formulas <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-176-Frame" class="MathJax"><nobr><span id="MathJax-Span-4010" class="math"><span style="display: inline-block; position: relative; width: 104px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4011" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4012" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4013" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4014" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4015" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4016" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4017" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4018" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4019" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4020" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4021" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4022" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4023" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4024" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4025" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4026" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4027" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-176" type="math/tex">entity(id,attrs)</script> can be interpreted as follows:
+</p>
+<div data-title="Formalism 12 (rule_12)" data-count="12" id="rule_12" class="formalism"><div class="ruleTitle"><a href="#rule_12" class="internalDFN">Formalism 12 (rule_12)</a></div>
+ <p><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-177-Frame" class="MathJax"><nobr><span id="MathJax-Span-4028" class="math"><span style="display: inline-block; position: relative; width: 158px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4029" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4030" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4031" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4032" class="mi">ρ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-4033" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-4034" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4035" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4036" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4037" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4038" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4039" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4040" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4041" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4042" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4043" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4044" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4045" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4046" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4047" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4048" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4049" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-177" type="math/tex">W,\rho \models entity(id,attrs)</script> holds if and only if:</p>
 <ol>
-<li>[WF] <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-178-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4050"><span style="display: inline-block; position: relative; width: 16px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4051"><span class="mi" id="MathJax-Span-4052" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4053" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-178">id</script> denotes an entity <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-179-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4054"><span style="display: inline-block; position: relative; width: 167px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4055"><span class="mi" id="MathJax-Span-4056" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4057" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-4058" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-4059" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-4060" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-4061" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-4062" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4063" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-4064" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-4065" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-4066" style="font-family: STIXGeneral-Italic; padding-left: 6px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-4067" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-4068" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4069" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4070" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4071" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4072" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4073" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-179">ent = \rho(id) \in Entities</script>
+<li>[WF] <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-178-Frame" class="MathJax"><nobr><span id="MathJax-Span-4050" class="math"><span style="display: inline-block; position: relative; width: 14px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.477em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4051" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4052" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4053" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-178" type="math/tex">id</script> denotes an entity <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-179-Frame" class="MathJax"><nobr><span id="MathJax-Span-4054" class="math"><span style="display: inline-block; position: relative; width: 153px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4055" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4056" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4057" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4058" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-4059" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-4060" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4061" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4062" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4063" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4064" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-4065" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-4066" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4067" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4068" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4069" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4070" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4071" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4072" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4073" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.075em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-179" type="math/tex">ent = \rho(id) \in Entities</script>
 </li>
-<li>the attributes match: <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-180-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4074"><span style="display: inline-block; position: relative; width: 151px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 54.4px -8.8px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4075"><span class="mi" id="MathJax-Span-4076" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-4077" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-4078" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4079" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-4080" style="font-family: STIXGeneral-Italic;">h</span><span class="mo" id="MathJax-Span-4081" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-4082" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-4083" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4084" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mi" id="MathJax-Span-4085" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-4086" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-4087" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4088" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-4089" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4090" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4091" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-4092" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-4093" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.6px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-180">match(W,ent, attrs)</script>.
+<li>the attributes match: <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-180-Frame" class="MathJax"><nobr><span id="MathJax-Span-4074" class="math"><span style="display: inline-block; position: relative; width: 137px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.922em, -0.514em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4075" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4076" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4077" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4078" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4079" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4080" class="mi">h</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4081" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4082" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4083" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4084" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4085" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4086" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4087" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4088" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4089" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4090" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4091" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4092" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4093" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.045em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-180" type="math/tex">match(W,ent, attrs)</script>.
 </li>
 </ol>
 
 
 </div>
 <div class="remark">
-<p>For example, the following formulas all hold if <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-181-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4094"><span style="display: inline-block; position: relative; width: 9px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -9.5px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4095"><span class="mi" id="MathJax-Span-4096" style="font-family: STIXGeneral-Italic;">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.1px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-181">x</script> denotes an entity <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-182-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4097"><span style="display: inline-block; position: relative; width: 8px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4098"><span class="mi" id="MathJax-Span-4099" style="font-family: STIXGeneral-Italic;">e</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-182">e</script> such that <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-183-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4100"><span style="display: inline-block; position: relative; width: 286px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.7px 19360px 54.5px -8.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4101"><span class="mi" id="MathJax-Span-4102" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-4103" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-4104" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-4105" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-4106" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-4107" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-4108" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-4109" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4110" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-4111" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-4112" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mo" id="MathJax-Span-4113" style="font-family: STIXGeneral-Regular; padding-left: 6px;">{</span><span class="mn" id="MathJax-Span-4114" style="font-family: STIXGeneral-Regular;">4</span><span class="mo" id="MathJax-Span-4115" style="font-family: STIXGeneral-Regular;">,</span><span class="mn" id="MathJax-Span-4116" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">5</span><span class="mo" id="MathJax-Span-4117" style="font-family: STIXGeneral-Regular;">}</span><span class="mo" id="MathJax-Span-4118" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4119" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">v</span><span class="mi" id="MathJax-Span-4120" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-4121" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-4122" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-4123" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-4124" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-4125" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-4126" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4127" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">b</span><span class="mo" id="MathJax-Span-4128" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-4129" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mo" id="MathJax-Span-4130" style="font-family: STIXGeneral-Regular; padding-left: 6px;">{</span><span class="mn" id="MathJax-Span-4131" style="font-family: STIXGeneral-Regular;">6</span><span class="mo" id="MathJax-Span-4132" style="font-family: STIXGeneral-Regular;">}</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.8px; vertical-align: -4.5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-183">value(e,a) = \{4,5\}, value(e,b) = \{6\}</script> hold:
+<p>For example, the following formulas all hold if <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-181-Frame" class="MathJax"><nobr><span id="MathJax-Span-4094" class="math"><span style="display: inline-block; position: relative; width: 8px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.553em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4095" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4096" class="mi">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.609em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-181" type="math/tex">x</script> denotes an entity <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-182-Frame" class="MathJax"><nobr><span id="MathJax-Span-4097" class="math"><span style="display: inline-block; position: relative; width: 8px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4098" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4099" class="mi">e</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.609em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-182" type="math/tex">e</script> such that <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-183-Frame" class="MathJax"><nobr><span id="MathJax-Span-4100" class="math"><span style="display: inline-block; position: relative; width: 256px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.707em, 1000em, 2.926em, -0.506em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4101" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4102" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4103" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4104" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4105" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4106" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4107" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4108" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4109" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4110" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4111" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-4112" class="mo">=</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-4113" class="mo">{</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4114" class="mn">4</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4115" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-4116" class="mn">5</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4117" class="mo">}</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4118" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4119" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4120" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4121" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4122" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4123" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4124" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4125" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4126" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4127" class="mi">b</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4128" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-4129" class="mo">=</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-4130" class="mo">{</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4131" class="mn">6</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4132" class="mo">}</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.055em; vertical-align: -0.256em;"></span></span></nobr></span><script id="MathJax-Element-183" type="math/tex">value(e,a) = \{4,5\}, value(e,b) = \{6\}</script> hold:
 </p><pre> entity(x,[])
  entity(x,[a=5])
  entity(x,[a=4,a=5])
@@ -1635,22 +1635,22 @@
 
 <h4><span class="secno">4.3.2 </span> Activity </h4>
 
-<p>An activity formula  is of the form <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-184-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4133"><span style="display: inline-block; position: relative; width: 167px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4134"><span class="mi" id="MathJax-Span-4135" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-4136" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-4137" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4138" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4139" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-4140" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4141" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4142" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-4143" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-4144" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4145" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-4146" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4147" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">s</span><span class="mi" id="MathJax-Span-4148" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-4149" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4150" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mi" id="MathJax-Span-4151" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-4152" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4153" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-4154" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4155" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4156" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-4157" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-4158" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-184">activity(id,st,et,attrs)</script>
-where <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-185-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4159"><span style="display: inline-block; position: relative; width: 16px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4160"><span class="mi" id="MathJax-Span-4161" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4162" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-185">id</script> is a identifier referring to the activity, <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-186-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4163"><span style="display: inline-block; position: relative; width: 13px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4164"><span class="mi" id="MathJax-Span-4165" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-4166" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 12.8px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-186">st</script> is a start
-time and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-187-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4167"><span style="display: inline-block; position: relative; width: 14px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4168"><span class="mi" id="MathJax-Span-4169" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4170" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 12.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-187">et</script> is an end time, and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-188-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4171"><span style="display: inline-block; position: relative; width: 35px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4172"><span class="mi" id="MathJax-Span-4173" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-4174" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4175" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4176" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-4177" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 12.8px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-188">attrs</script> are the attributes of
-activity <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-189-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4178"><span style="display: inline-block; position: relative; width: 16px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4179"><span class="mi" id="MathJax-Span-4180" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4181" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-189">id</script>.
+<p>An activity formula  is of the form <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-184-Frame" class="MathJax"><nobr><span id="MathJax-Span-4133" class="math"><span style="display: inline-block; position: relative; width: 155px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4134" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4135" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4136" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4137" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4138" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4139" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4140" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4141" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4142" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4143" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4144" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4145" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4146" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4147" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4148" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4149" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4150" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4151" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4152" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4153" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4154" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4155" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4156" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4157" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4158" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-184" type="math/tex">activity(id,st,et,attrs)</script>
+where <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-185-Frame" class="MathJax"><nobr><span id="MathJax-Span-4159" class="math"><span style="display: inline-block; position: relative; width: 14px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.477em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4160" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4161" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4162" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-185" type="math/tex">id</script> is a identifier referring to the activity, <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-186-Frame" class="MathJax"><nobr><span id="MathJax-Span-4163" class="math"><span style="display: inline-block; position: relative; width: 12px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4164" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4165" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4166" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.723em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-186" type="math/tex">st</script> is a start
+time and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-187-Frame" class="MathJax"><nobr><span id="MathJax-Span-4167" class="math"><span style="display: inline-block; position: relative; width: 12px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4168" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4169" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4170" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.721em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-187" type="math/tex">et</script> is an end time, and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-188-Frame" class="MathJax"><nobr><span id="MathJax-Span-4171" class="math"><span style="display: inline-block; position: relative; width: 32px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.758em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4172" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4173" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4174" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4175" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4176" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4177" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.723em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-188" type="math/tex">attrs</script> are the attributes of
+activity <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-189-Frame" class="MathJax"><nobr><span id="MathJax-Span-4178" class="math"><span style="display: inline-block; position: relative; width: 14px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.477em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4179" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4180" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4181" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-189" type="math/tex">id</script>.
 </p>
-<div class="formalism" id="rule_13" data-count="13" data-title="Formalism 13 (rule_13)"><div class="ruleTitle"><a class="internalDFN" href="#rule_13">Formalism 13 (rule_13)</a></div>
-  <p><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-190-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4182"><span style="display: inline-block; position: relative; width: 227px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4183"><span class="mi" id="MathJax-Span-4184" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-4185" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4186" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-4187" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-4188" style="font-family: STIXGeneral-Italic; padding-left: 6px;">a</span><span class="mi" id="MathJax-Span-4189" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-4190" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4191" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4192" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-4193" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4194" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4195" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-4196" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-4197" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4198" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-4199" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4200" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">s</span><span class="mi" id="MathJax-Span-4201" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-4202" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4203" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mi" id="MathJax-Span-4204" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-4205" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4206" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-4207" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4208" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4209" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-4210" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-4211" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-190">W,\rho \models activity(id,st,et,attrs)</script>
+<div data-title="Formalism 13 (rule_13)" data-count="13" id="rule_13" class="formalism"><div class="ruleTitle"><a href="#rule_13" class="internalDFN">Formalism 13 (rule_13)</a></div>
+  <p><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-190-Frame" class="MathJax"><nobr><span id="MathJax-Span-4182" class="math"><span style="display: inline-block; position: relative; width: 209px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4183" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4184" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4185" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4186" class="mi">ρ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-4187" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-4188" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4189" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4190" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4191" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4192" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4193" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4194" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4195" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4196" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4197" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4198" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4199" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4200" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4201" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4202" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4203" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4204" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4205" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4206" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4207" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4208" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4209" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4210" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4211" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-190" type="math/tex">W,\rho \models activity(id,st,et,attrs)</script>
   holds if and only if:</p>
 <ol>
-<li>[WF] The identifier <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-191-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4212"><span style="display: inline-block; position: relative; width: 16px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4213"><span class="mi" id="MathJax-Span-4214" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4215" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-191">id</script> maps to an activity <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-192-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4216"><span style="display: inline-block; position: relative; width: 178px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4217"><span class="mi" id="MathJax-Span-4218" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-4219" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-4220" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-4221" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-4222" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-4223" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-4224" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4225" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-4226" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-4227" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-4228" style="font-family: STIXGeneral-Italic; padding-left: 6px;">A</span><span class="mi" id="MathJax-Span-4229" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-4230" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4231" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4232" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-4233" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4234" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4235" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4236" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4237" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-192">act = \rho(id) \in Activities</script>
+<li>[WF] The identifier <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-191-Frame" class="MathJax"><nobr><span id="MathJax-Span-4212" class="math"><span style="display: inline-block; position: relative; width: 14px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.477em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4213" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4214" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4215" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-191" type="math/tex">id</script> maps to an activity <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-192-Frame" class="MathJax"><nobr><span id="MathJax-Span-4216" class="math"><span style="display: inline-block; position: relative; width: 164px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4217" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4218" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4219" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4220" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-4221" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-4222" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4223" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4224" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4225" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4226" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-4227" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-4228" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4229" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4230" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4231" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4232" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4233" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4234" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4235" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4236" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4237" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.075em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-192" type="math/tex">act = \rho(id) \in Activities</script>
 </li>
-<li>If <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-193-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4238"><span style="display: inline-block; position: relative; width: 13px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4239"><span class="mi" id="MathJax-Span-4240" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-4241" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 12.8px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-193">st</script> is specified then it is equal to the start time of the activity, that is: <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-194-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4242"><span style="display: inline-block; position: relative; width: 164px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4243"><span class="mi" id="MathJax-Span-4244" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-4245" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4246" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-4247" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-4248" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-4249" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4250" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-4251" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4252" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4253" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4254" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-4255" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-4256" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-4257" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4258" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-4259" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-4260" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-4261" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-4262" style="font-family: STIXGeneral-Italic; padding-left: 6px;">s</span><span class="mi" id="MathJax-Span-4263" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-194">min(lifetime(id)) = st</script>
+<li>If <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-193-Frame" class="MathJax"><nobr><span id="MathJax-Span-4238" class="math"><span style="display: inline-block; position: relative; width: 12px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4239" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4240" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4241" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.723em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-193" type="math/tex">st</script> is specified then it is equal to the start time of the activity, that is: <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-194-Frame" class="MathJax"><nobr><span id="MathJax-Span-4242" class="math"><span style="display: inline-block; position: relative; width: 150px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.514em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4243" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4244" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4245" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4246" class="mi">n</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4247" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4248" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4249" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4250" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4251" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4252" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4253" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4254" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4255" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4256" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4257" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4258" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4259" class="mo">)</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4260" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-4261" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-4262" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4263" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-194" type="math/tex">min(lifetime(id)) = st</script>
 </li>
-<li>If <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-195-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4264"><span style="display: inline-block; position: relative; width: 14px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4265"><span class="mi" id="MathJax-Span-4266" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4267" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 12.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-195">et</script> is specified then it is equal to the end time of the activity, that is: <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-196-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4268"><span style="display: inline-block; position: relative; width: 168px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4269"><span class="mi" id="MathJax-Span-4270" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-4271" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-4272" style="font-family: STIXGeneral-Italic;">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.1px;"></span></span><span class="mo" id="MathJax-Span-4273" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-4274" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-4275" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4276" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-4277" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4278" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4279" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4280" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-4281" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-4282" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-4283" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4284" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-4285" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-4286" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-4287" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-4288" style="font-family: STIXGeneral-Italic; padding-left: 6px;">e</span><span class="mi" id="MathJax-Span-4289" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-196">max(lifetime(id)) = et</script>
+<li>If <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-195-Frame" class="MathJax"><nobr><span id="MathJax-Span-4264" class="math"><span style="display: inline-block; position: relative; width: 12px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4265" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4266" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4267" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.721em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-195" type="math/tex">et</script> is specified then it is equal to the end time of the activity, that is: <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-196-Frame" class="MathJax"><nobr><span id="MathJax-Span-4268" class="math"><span style="display: inline-block; position: relative; width: 154px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.514em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4269" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4270" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4271" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4272" class="mi">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4273" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4274" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4275" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4276" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4277" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4278" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4279" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4280" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4281" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4282" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4283" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4284" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4285" class="mo">)</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4286" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-4287" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-4288" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4289" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-196" type="math/tex">max(lifetime(id)) = et</script>
 </li>
-<li>The attributes match: <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-197-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4290"><span style="display: inline-block; position: relative; width: 151px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 54.4px -8.8px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4291"><span class="mi" id="MathJax-Span-4292" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-4293" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-4294" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4295" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-4296" style="font-family: STIXGeneral-Italic;">h</span><span class="mo" id="MathJax-Span-4297" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-4298" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-4299" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4300" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-4301" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-4302" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-4303" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4304" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-4305" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4306" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4307" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-4308" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-4309" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.6px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-197">match(W,act,attrs)</script>.
+<li>The attributes match: <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-197-Frame" class="MathJax"><nobr><span id="MathJax-Span-4290" class="math"><span style="display: inline-block; position: relative; width: 137px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.922em, -0.514em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4291" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4292" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4293" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4294" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4295" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4296" class="mi">h</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4297" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4298" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4299" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4300" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4301" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4302" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4303" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4304" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4305" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4306" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4307" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4308" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4309" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.045em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-197" type="math/tex">match(W,act,attrs)</script>.
 </li>
 </ol>
 </div>
@@ -1659,15 +1659,15 @@
 
 <h4><span class="secno">4.3.3 </span> Agent </h4>
 
-<p>An agent formula is of the form <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-198-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4310"><span style="display: inline-block; position: relative; width: 114px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4311"><span class="mi" id="MathJax-Span-4312" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-4313" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-4314" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4315" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-4316" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-4317" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-4318" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4319" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-4320" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4321" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-4322" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4323" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4324" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-4325" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-4326" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-198">agent(id,attrs)</script> where <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-199-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4327"><span style="display: inline-block; position: relative; width: 16px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4328"><span class="mi" id="MathJax-Span-4329" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4330" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-199">id</script> denotes the agent and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-200-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4331"><span style="display: inline-block; position: relative; width: 35px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4332"><span class="mi" id="MathJax-Span-4333" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-4334" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4335" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4336" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-4337" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 12.8px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-200">attrs</script> describes additional attributes.
+<p>An agent formula is of the form <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-198-Frame" class="MathJax"><nobr><span id="MathJax-Span-4310" class="math"><span style="display: inline-block; position: relative; width: 103px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4311" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4312" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4313" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4314" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4315" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4316" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4317" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4318" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4319" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4320" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4321" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4322" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4323" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4324" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4325" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4326" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-198" type="math/tex">agent(id,attrs)</script> where <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-199-Frame" class="MathJax"><nobr><span id="MathJax-Span-4327" class="math"><span style="display: inline-block; position: relative; width: 14px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.477em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4328" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4329" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4330" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-199" type="math/tex">id</script> denotes the agent and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-200-Frame" class="MathJax"><nobr><span id="MathJax-Span-4331" class="math"><span style="display: inline-block; position: relative; width: 32px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.758em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4332" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4333" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4334" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4335" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4336" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4337" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.723em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-200" type="math/tex">attrs</script> describes additional attributes.
 </p>
-<div class="formalism" id="rule_14" data-count="14" data-title="Formalism 14 (rule_14)"><div class="ruleTitle"><a class="internalDFN" href="#rule_14">Formalism 14 (rule_14)</a></div>
-  <p><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-201-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4338"><span style="display: inline-block; position: relative; width: 174px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4339"><span class="mi" id="MathJax-Span-4340" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-4341" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4342" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-4343" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-4344" style="font-family: STIXGeneral-Italic; padding-left: 6px;">a</span><span class="mi" id="MathJax-Span-4345" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-4346" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4347" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-4348" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-4349" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-4350" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4351" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-4352" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4353" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-4354" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4355" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4356" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-4357" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-4358" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-201">W,\rho \models agent(id,attrs)</script> holds if and only if:
+<div data-title="Formalism 14 (rule_14)" data-count="14" id="rule_14" class="formalism"><div class="ruleTitle"><a href="#rule_14" class="internalDFN">Formalism 14 (rule_14)</a></div>
+  <p><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-201-Frame" class="MathJax"><nobr><span id="MathJax-Span-4338" class="math"><span style="display: inline-block; position: relative; width: 157px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4339" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4340" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4341" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4342" class="mi">ρ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-4343" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-4344" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4345" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4346" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4347" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4348" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4349" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4350" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4351" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4352" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4353" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4354" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4355" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4356" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4357" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4358" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-201" type="math/tex">W,\rho \models agent(id,attrs)</script> holds if and only if:
   </p>
   <ol>
-    <li>[WF] <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-202-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4359"><span style="display: inline-block; position: relative; width: 16px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4360"><span class="mi" id="MathJax-Span-4361" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4362" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-202">id</script> denotes an agent <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-203-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4363"><span style="display: inline-block; position: relative; width: 158px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4364"><span class="mi" id="MathJax-Span-4365" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-4366" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-4367" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-4368" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-4369" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-4370" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4371" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-4372" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-4373" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-4374" style="font-family: STIXGeneral-Italic; padding-left: 6px;">A</span><span class="mi" id="MathJax-Span-4375" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-4376" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4377" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-4378" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4379" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-203">ag = \rho(id) \in Agents</script>
+    <li>[WF] <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-202-Frame" class="MathJax"><nobr><span id="MathJax-Span-4359" class="math"><span style="display: inline-block; position: relative; width: 14px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.477em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4360" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4361" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4362" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-202" type="math/tex">id</script> denotes an agent <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-203-Frame" class="MathJax"><nobr><span id="MathJax-Span-4363" class="math"><span style="display: inline-block; position: relative; width: 141px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4364" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4365" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4366" class="mi">g</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-4367" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-4368" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4369" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4370" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4371" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4372" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-4373" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-4374" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4375" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4376" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4377" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4378" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4379" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-203" type="math/tex">ag = \rho(id) \in Agents</script>
     </li>
-    <li>The attributes match: <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-204-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4380"><span style="display: inline-block; position: relative; width: 148px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4381"><span class="mi" id="MathJax-Span-4382" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-4383" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-4384" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4385" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-4386" style="font-family: STIXGeneral-Italic;">h</span><span class="mo" id="MathJax-Span-4387" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-4388" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-4389" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4390" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-4391" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-4392" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4393" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-4394" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4395" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4396" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-4397" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-4398" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-204">match(W,ag,attrs)</script>.
+    <li>The attributes match: <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-204-Frame" class="MathJax"><nobr><span id="MathJax-Span-4380" class="math"><span style="display: inline-block; position: relative; width: 133px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.514em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4381" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4382" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4383" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4384" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4385" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4386" class="mi">h</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4387" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4388" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4389" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4390" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4391" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4392" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4393" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4394" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4395" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4396" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4397" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4398" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-204" type="math/tex">match(W,ag,attrs)</script>.
     </li>
   </ol>
 </div>
@@ -1682,29 +1682,29 @@
 <h4><span class="secno">4.4.1 </span> Generation </h4>
 
 <p>The generation formula is of the form
-<span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-205-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4399"><span style="display: inline-block; position: relative; width: 249px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4400"><span class="mi" id="MathJax-Span-4401" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-4402" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-4403" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-4404" style="font-family: STIXGeneral-Italic;">G</span><span class="mi" id="MathJax-Span-4405" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4406" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-4407" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4408" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-4409" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-4410" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4411" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4412" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-4413" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-4414" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-4415" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-4416" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4417" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-4418" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4419" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-4420" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4421" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-4422" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4423" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-4424" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4425" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-4426" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4427" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4428" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-4429" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-4430" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-205">wasGeneratedBy(id,e,a,t,attrs)</script> where <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-206-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4431"><span style="display: inline-block; position: relative; width: 16px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4432"><span class="mi" id="MathJax-Span-4433" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4434" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-206">id</script> is an event identifier,
-<span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-207-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4435"><span style="display: inline-block; position: relative; width: 8px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4436"><span class="mi" id="MathJax-Span-4437" style="font-family: STIXGeneral-Italic;">e</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-207">e</script> is an entity identifier, <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-208-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4438"><span style="display: inline-block; position: relative; width: 10px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4439"><span class="mi" id="MathJax-Span-4440" style="font-family: STIXGeneral-Italic;">a</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-208">a</script> is an activity identifier, <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-209-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4441"><span style="display: inline-block; position: relative; width: 35px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4442"><span class="mi" id="MathJax-Span-4443" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-4444" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4445" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4446" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-4447" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 12.8px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-209">attrs</script> is
-a set of attribute-value pairs, and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-210-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4448"><span style="display: inline-block; position: relative; width: 6px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4449"><span class="mi" id="MathJax-Span-4450" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 12.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-210">t</script> is a time.
+<span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-205-Frame" class="MathJax"><nobr><span id="MathJax-Span-4399" class="math"><span style="display: inline-block; position: relative; width: 227px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.511em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4400" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4401" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4402" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4403" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4404" class="mi">G</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4405" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4406" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4407" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4408" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4409" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4410" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4411" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4412" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4413" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4414" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4415" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4416" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4417" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4418" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4419" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4420" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4421" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4422" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4423" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4424" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4425" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4426" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4427" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4428" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4429" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4430" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-205" type="math/tex">wasGeneratedBy(id,e,a,t,attrs)</script> where <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-206-Frame" class="MathJax"><nobr><span id="MathJax-Span-4431" class="math"><span style="display: inline-block; position: relative; width: 14px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.477em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4432" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4433" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4434" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-206" type="math/tex">id</script> is an event identifier,
+<span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-207-Frame" class="MathJax"><nobr><span id="MathJax-Span-4435" class="math"><span style="display: inline-block; position: relative; width: 8px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4436" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4437" class="mi">e</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.609em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-207" type="math/tex">e</script> is an entity identifier, <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-208-Frame" class="MathJax"><nobr><span id="MathJax-Span-4438" class="math"><span style="display: inline-block; position: relative; width: 9px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4439" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4440" class="mi">a</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.609em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-208" type="math/tex">a</script> is an activity identifier, <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-209-Frame" class="MathJax"><nobr><span id="MathJax-Span-4441" class="math"><span style="display: inline-block; position: relative; width: 32px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.758em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4442" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4443" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4444" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4445" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4446" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4447" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.723em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-209" type="math/tex">attrs</script> is
+a set of attribute-value pairs, and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-210-Frame" class="MathJax"><nobr><span id="MathJax-Span-4448" class="math"><span style="display: inline-block; position: relative; width: 5px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4449" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4450" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.721em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-210" type="math/tex">t</script> is a time.
 </p>
-<div class="formalism" id="rule_15" data-count="15" data-title="Formalism 15 (rule_15)"><div class="ruleTitle"><a class="internalDFN" href="#rule_15">Formalism 15 (rule_15)</a></div>
- <p><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-211-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4451"><span style="display: inline-block; position: relative; width: 309px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4452"><span class="mi" id="MathJax-Span-4453" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-4454" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4455" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-4456" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-4457" style="font-family: STIXGeneral-Italic; padding-left: 6px;">w</span><span class="mi" id="MathJax-Span-4458" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-4459" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-4460" style="font-family: STIXGeneral-Italic;">G</span><span class="mi" id="MathJax-Span-4461" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4462" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-4463" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4464" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-4465" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-4466" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4467" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4468" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-4469" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-4470" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-4471" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-4472" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4473" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-4474" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4475" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-4476" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4477" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-4478" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4479" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-4480" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4481" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-4482" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4483" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4484" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-4485" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-4486" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-211">W,\rho \models
+<div data-title="Formalism 15 (rule_15)" data-count="15" id="rule_15" class="formalism"><div class="ruleTitle"><a href="#rule_15" class="internalDFN">Formalism 15 (rule_15)</a></div>
+ <p><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-211-Frame" class="MathJax"><nobr><span id="MathJax-Span-4451" class="math"><span style="display: inline-block; position: relative; width: 281px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4452" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4453" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4454" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4455" class="mi">ρ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-4456" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-4457" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4458" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4459" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4460" class="mi">G</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4461" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4462" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4463" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4464" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4465" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4466" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4467" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4468" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4469" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4470" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4471" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4472" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4473" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4474" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4475" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4476" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4477" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4478" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4479" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4480" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4481" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4482" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4483" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4484" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4485" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4486" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-211" type="math/tex">W,\rho \models
   wasGeneratedBy(id,e,a,t,attrs)</script>  holds if and only if:
 </p><ol>
-<li>[WF] The identifier <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-212-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4487"><span style="display: inline-block; position: relative; width: 16px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4488"><span class="mi" id="MathJax-Span-4489" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4490" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-212">id</script> denotes an event <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-213-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4491"><span style="display: inline-block; position: relative; width: 158px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4492"><span class="mi" id="MathJax-Span-4493" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4494" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-4495" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-4496" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-4497" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-4498" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-4499" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4500" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-4501" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-4502" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-4503" style="font-family: STIXGeneral-Italic; padding-left: 6px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-4504" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-4505" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4506" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-4507" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4508" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-213">evt = \rho(id) \in Events</script>.
-</li>
-<li>[WF] The identifier <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-214-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4509"><span style="display: inline-block; position: relative; width: 8px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4510"><span class="mi" id="MathJax-Span-4511" style="font-family: STIXGeneral-Italic;">e</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-214">e</script> denotes an entity <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-215-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4512"><span style="display: inline-block; position: relative; width: 160px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4513"><span class="mi" id="MathJax-Span-4514" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4515" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-4516" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-4517" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-4518" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-4519" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-4520" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-4521" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-4522" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-4523" style="font-family: STIXGeneral-Italic; padding-left: 6px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-4524" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-4525" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4526" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4527" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4528" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4529" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4530" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-215">ent = \rho(e) \in Entities</script>.
-</li>
-<li>[WF] The identifier <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-216-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4531"><span style="display: inline-block; position: relative; width: 10px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4532"><span class="mi" id="MathJax-Span-4533" style="font-family: STIXGeneral-Italic;">a</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-216">a</script> denotes an activity <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-217-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4534"><span style="display: inline-block; position: relative; width: 172px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4535"><span class="mi" id="MathJax-Span-4536" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-4537" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-4538" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-4539" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-4540" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-4541" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-4542" style="font-family: STIXGeneral-Italic;">a</span><span class="mo" id="MathJax-Span-4543" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-4544" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-4545" style="font-family: STIXGeneral-Italic; padding-left: 6px;">A</span><span class="mi" id="MathJax-Span-4546" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-4547" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4548" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4549" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-4550" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4551" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4552" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4553" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4554" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-217">act = \rho(a) \in Activities</script>.
+<li>[WF] The identifier <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-212-Frame" class="MathJax"><nobr><span id="MathJax-Span-4487" class="math"><span style="display: inline-block; position: relative; width: 14px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.477em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4488" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4489" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4490" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-212" type="math/tex">id</script> denotes an event <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-213-Frame" class="MathJax"><nobr><span id="MathJax-Span-4491" class="math"><span style="display: inline-block; position: relative; width: 145px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4492" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4493" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4494" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4495" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-4496" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-4497" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4498" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4499" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4500" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4501" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-4502" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-4503" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4504" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4505" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4506" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4507" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4508" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.075em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-213" type="math/tex">evt = \rho(id) \in Events</script>.
 </li>
-<li>The event <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-218-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4555"><span style="display: inline-block; position: relative; width: 22px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 51.3px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4556"><span class="mi" id="MathJax-Span-4557" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4558" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-4559" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 12.9px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-218">evt</script> is involved in <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-219-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4560"><span style="display: inline-block; position: relative; width: 24px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4561"><span class="mi" id="MathJax-Span-4562" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-4563" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-4564" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 12.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-219">act</script>, that is, <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-220-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4565"><span style="display: inline-block; position: relative; width: 200px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 54.4px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4566"><span class="mo" id="MathJax-Span-4567" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-4568" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4569" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-4570" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-4571" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4572" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-4573" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-4574" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-4575" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-4576" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-4577" style="font-family: STIXGeneral-Italic; padding-left: 6px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-4578" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-4579" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4580" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-4581" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4582" style="font-family: STIXGeneral-Italic;">A</span><span class="mi" id="MathJax-Span-4583" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-4584" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4585" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4586" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-4587" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4588" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4589" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4590" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4591" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.5px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-220">(evt,act) \in EventActivities</script>.
-</li>
-<li>The type of <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-221-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4592"><span style="display: inline-block; position: relative; width: 22px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 51.3px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4593"><span class="mi" id="MathJax-Span-4594" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4595" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-4596" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 12.9px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-221">evt</script> is <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-222-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4597"><span style="display: inline-block; position: relative; width: 84px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.3px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4598"><span class="mi" id="MathJax-Span-4599" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-4600" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4601" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-4602" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4603" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-4604" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-4605" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4606" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4607" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-4608" style="font-family: STIXGeneral-Italic;">n</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.6px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-222">generation</script>, i.e. <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-223-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4609"><span style="display: inline-block; position: relative; width: 174px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.3px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4610"><span class="mi" id="MathJax-Span-4611" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4612" style="font-family: STIXGeneral-Italic;">y</span><span class="mi" id="MathJax-Span-4613" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-4614" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-4615" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-4616" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4617" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-4618" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-4619" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-4620" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-4621" style="font-family: STIXGeneral-Italic; padding-left: 6px;">g</span><span class="mi" id="MathJax-Span-4622" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4623" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-4624" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4625" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-4626" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-4627" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4628" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4629" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-4630" style="font-family: STIXGeneral-Italic;">n</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-223">type(evt) = generation</script>.
+<li>[WF] The identifier <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-214-Frame" class="MathJax"><nobr><span id="MathJax-Span-4509" class="math"><span style="display: inline-block; position: relative; width: 8px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4510" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4511" class="mi">e</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.609em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-214" type="math/tex">e</script> denotes an entity <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-215-Frame" class="MathJax"><nobr><span id="MathJax-Span-4512" class="math"><span style="display: inline-block; position: relative; width: 147px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.95em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4513" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4514" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4515" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4516" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-4517" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-4518" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4519" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4520" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4521" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-4522" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-4523" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4524" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4525" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4526" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4527" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4528" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4529" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4530" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.068em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-215" type="math/tex">ent = \rho(e) \in Entities</script>.
 </li>
-<li>The event <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-224-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4631"><span style="display: inline-block; position: relative; width: 22px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 51.3px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4632"><span class="mi" id="MathJax-Span-4633" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4634" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-4635" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 12.9px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-224">evt</script> occurred at time <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-225-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4636"><span style="display: inline-block; position: relative; width: 6px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4637"><span class="mi" id="MathJax-Span-4638" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 12.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-225">t</script>, i.e. <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-226-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4639"><span style="display: inline-block; position: relative; width: 96px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 54.4px -8.3px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4640"><span class="mi" id="MathJax-Span-4641" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4642" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4643" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-4644" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-4645" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-4646" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4647" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-4648" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-4649" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-4650" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-4651" style="font-family: STIXGeneral-Italic; padding-left: 6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.5px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-226">time(evt) = t</script>.
+<li>[WF] The identifier <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-216-Frame" class="MathJax"><nobr><span id="MathJax-Span-4531" class="math"><span style="display: inline-block; position: relative; width: 9px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4532" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4533" class="mi">a</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.609em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-216" type="math/tex">a</script> denotes an activity <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-217-Frame" class="MathJax"><nobr><span id="MathJax-Span-4534" class="math"><span style="display: inline-block; position: relative; width: 159px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.95em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4535" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4536" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4537" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4538" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-4539" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-4540" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4541" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4542" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4543" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-4544" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-4545" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4546" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4547" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4548" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4549" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4550" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4551" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4552" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4553" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4554" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.068em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-217" type="math/tex">act = \rho(a) \in Activities</script>.
 </li>
-<li>The event <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-227-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4652"><span style="display: inline-block; position: relative; width: 22px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 51.3px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4653"><span class="mi" id="MathJax-Span-4654" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4655" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-4656" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 12.9px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-227">evt</script> generated <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-228-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4657"><span style="display: inline-block; position: relative; width: 24px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4658"><span class="mi" id="MathJax-Span-4659" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4660" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-4661" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 12.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-228">ent</script>, i.e. <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-229-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4662"><span style="display: inline-block; position: relative; width: 169px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 54.4px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4663"><span class="mo" id="MathJax-Span-4664" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-4665" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4666" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-4667" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-4668" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4669" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mi" id="MathJax-Span-4670" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-4671" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-4672" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-4673" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-4674" style="font-family: STIXGeneral-Italic; padding-left: 6px;">G</span><span class="mi" id="MathJax-Span-4675" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4676" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-4677" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4678" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-4679" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-4680" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4681" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4682" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.6px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-229">(evt,ent) \in Generated</script>.
+<li>The event <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-218-Frame" class="MathJax"><nobr><span id="MathJax-Span-4555" class="math"><span style="display: inline-block; position: relative; width: 20px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.763em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4556" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4557" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4558" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4559" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.728em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-218" type="math/tex">evt</script> is involved in <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-219-Frame" class="MathJax"><nobr><span id="MathJax-Span-4560" class="math"><span style="display: inline-block; position: relative; width: 21px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4561" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4562" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4563" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4564" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.721em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-219" type="math/tex">act</script>, that is, <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-220-Frame" class="MathJax"><nobr><span id="MathJax-Span-4565" class="math"><span style="display: inline-block; position: relative; width: 186px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.922em, -0.478em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4566" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-4567" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4568" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4569" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4570" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4571" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4572" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4573" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4574" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4575" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-4576" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-4577" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4578" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4579" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4580" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4581" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4582" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4583" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4584" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4585" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4586" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4587" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4588" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4589" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4590" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4591" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.038em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-220" type="math/tex">(evt,act) \in EventActivities</script>.
 </li>
-<li>The attribute values match: <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-230-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4683"><span style="display: inline-block; position: relative; width: 149px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 54.4px -8.8px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4684"><span class="mi" id="MathJax-Span-4685" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-4686" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-4687" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4688" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-4689" style="font-family: STIXGeneral-Italic;">h</span><span class="mo" id="MathJax-Span-4690" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-4691" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-4692" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4693" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mi" id="MathJax-Span-4694" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-4695" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-4696" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4697" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-4698" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4699" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4700" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-4701" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-4702" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.6px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-230">match(W,evt,attrs)</script>.
+<li>The type of <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-221-Frame" class="MathJax"><nobr><span id="MathJax-Span-4592" class="math"><span style="display: inline-block; position: relative; width: 20px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.763em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4593" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4594" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4595" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4596" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.728em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-221" type="math/tex">evt</script> is <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-222-Frame" class="MathJax"><nobr><span id="MathJax-Span-4597" class="math"><span style="display: inline-block; position: relative; width: 74px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.741em, 1000em, 2.951em, -0.518em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4598" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4599" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4600" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4601" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4602" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4603" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4604" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4605" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4606" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4607" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4608" class="mi">n</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.045em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-222" type="math/tex">generation</script>, i.e. <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-223-Frame" class="MathJax"><nobr><span id="MathJax-Span-4609" class="math"><span style="display: inline-block; position: relative; width: 157px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.951em, -0.488em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4610" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4611" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4612" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4613" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4614" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4615" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4616" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4617" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4618" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4619" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-4620" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-4621" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4622" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4623" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4624" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4625" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4626" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4627" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4628" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4629" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4630" class="mi">n</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.069em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-223" type="math/tex">type(evt) = generation</script>.
+</li>
+<li>The event <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-224-Frame" class="MathJax"><nobr><span id="MathJax-Span-4631" class="math"><span style="display: inline-block; position: relative; width: 20px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.763em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4632" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4633" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4634" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4635" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.728em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-224" type="math/tex">evt</script> occurred at time <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-225-Frame" class="MathJax"><nobr><span id="MathJax-Span-4636" class="math"><span style="display: inline-block; position: relative; width: 5px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4637" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4638" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.721em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-225" type="math/tex">t</script>, i.e. <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-226-Frame" class="MathJax"><nobr><span id="MathJax-Span-4639" class="math"><span style="display: inline-block; position: relative; width: 89px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.922em, -0.488em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4640" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4641" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4642" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4643" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4644" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4645" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4646" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4647" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4648" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4649" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-4650" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-4651" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.038em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-226" type="math/tex">time(evt) = t</script>.
+</li>
+<li>The event <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-227-Frame" class="MathJax"><nobr><span id="MathJax-Span-4652" class="math"><span style="display: inline-block; position: relative; width: 20px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.763em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4653" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4654" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4655" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4656" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.728em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-227" type="math/tex">evt</script> generated <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-228-Frame" class="MathJax"><nobr><span id="MathJax-Span-4657" class="math"><span style="display: inline-block; position: relative; width: 21px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4658" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4659" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4660" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4661" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.721em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-228" type="math/tex">ent</script>, i.e. <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-229-Frame" class="MathJax"><nobr><span id="MathJax-Span-4662" class="math"><span style="display: inline-block; position: relative; width: 156px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.922em, -0.478em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4663" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-4664" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4665" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4666" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4667" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4668" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4669" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4670" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4671" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4672" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-4673" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-4674" class="mi">G</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4675" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4676" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4677" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4678" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4679" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4680" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4681" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4682" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.045em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-229" type="math/tex">(evt,ent) \in Generated</script>.
+</li>
+<li>The attribute values match: <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-230-Frame" class="MathJax"><nobr><span id="MathJax-Span-4683" class="math"><span style="display: inline-block; position: relative; width: 136px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.922em, -0.514em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4684" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4685" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4686" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4687" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4688" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4689" class="mi">h</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4690" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4691" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4692" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4693" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4694" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4695" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4696" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4697" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4698" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4699" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4700" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4701" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4702" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.045em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-230" type="math/tex">match(W,evt,attrs)</script>.
 </li>
 </ol>
 </div>
@@ -1713,52 +1713,52 @@
 <section id="use">
 <h4><span class="secno">4.4.2 </span> Use </h4>
 
-<p>The use formula is of the form <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-231-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4703"><span style="display: inline-block; position: relative; width: 154px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 54.4px -8.2px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4704"><span class="mi" id="MathJax-Span-4705" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-4706" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-4707" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4708" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-4709" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-4710" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4711" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-4712" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4713" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-4714" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4715" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-4716" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4717" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-4718" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4719" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-4720" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4721" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4722" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-4723" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-4724" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.6px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-231">used(id,a,e,t,attrs)</script> where <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-232-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4725"><span style="display: inline-block; position: relative; width: 16px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4726"><span class="mi" id="MathJax-Span-4727" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4728" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-232">id</script> denotes an event, <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-233-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4729"><span style="display: inline-block; position: relative; width: 10px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4730"><span class="mi" id="MathJax-Span-4731" style="font-family: STIXGeneral-Italic;">a</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-233">a</script> is an activity identifier, <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-234-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4732"><span style="display: inline-block; position: relative; width: 8px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4733"><span class="mi" id="MathJax-Span-4734" style="font-family: STIXGeneral-Italic;">e</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-234">e</script> is an object identifier, <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-235-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4735"><span style="display: inline-block; position: relative; width: 35px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4736"><span class="mi" id="MathJax-Span-4737" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-4738" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4739" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4740" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-4741" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 12.8px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-235">attrs</script> is a set of attribute-value pairs, and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-236-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4742"><span style="display: inline-block; position: relative; width: 6px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4743"><span class="mi" id="MathJax-Span-4744" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 12.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-236">t</script> is an optional time.
+<p>The use formula is of the form <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-231-Frame" class="MathJax"><nobr><span id="MathJax-Span-4703" class="math"><span style="display: inline-block; position: relative; width: 141px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.922em, -0.484em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4704" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4705" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4706" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4707" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4708" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4709" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4710" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4711" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4712" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4713" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4714" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4715" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4716" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4717" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4718" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4719" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4720" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4721" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4722" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4723" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4724" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.045em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-231" type="math/tex">used(id,a,e,t,attrs)</script> where <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-232-Frame" class="MathJax"><nobr><span id="MathJax-Span-4725" class="math"><span style="display: inline-block; position: relative; width: 14px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.477em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4726" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4727" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4728" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-232" type="math/tex">id</script> denotes an event, <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-233-Frame" class="MathJax"><nobr><span id="MathJax-Span-4729" class="math"><span style="display: inline-block; position: relative; width: 9px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4730" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4731" class="mi">a</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.609em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-233" type="math/tex">a</script> is an activity identifier, <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-234-Frame" class="MathJax"><nobr><span id="MathJax-Span-4732" class="math"><span style="display: inline-block; position: relative; width: 8px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4733" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4734" class="mi">e</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.609em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-234" type="math/tex">e</script> is an object identifier, <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-235-Frame" class="MathJax"><nobr><span id="MathJax-Span-4735" class="math"><span style="display: inline-block; position: relative; width: 32px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.758em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4736" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4737" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4738" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4739" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4740" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4741" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.723em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-235" type="math/tex">attrs</script> is a set of attribute-value pairs, and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-236-Frame" class="MathJax"><nobr><span id="MathJax-Span-4742" class="math"><span style="display: inline-block; position: relative; width: 5px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4743" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4744" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.721em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-236" type="math/tex">t</script> is an optional time.
 </p>
-<div class="formalism" id="rule_16" data-count="16" data-title="Formalism 16 (rule_16)"><div class="ruleTitle"><a class="internalDFN" href="#rule_16">Formalism 16 (rule_16)</a></div>
-  <p><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-237-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4745"><span style="display: inline-block; position: relative; width: 213px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4746"><span class="mi" id="MathJax-Span-4747" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-4748" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4749" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-4750" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-4751" style="font-family: STIXGeneral-Italic; padding-left: 6px;">u</span><span class="mi" id="MathJax-Span-4752" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-4753" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4754" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-4755" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-4756" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4757" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-4758" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4759" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-4760" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4761" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-4762" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4763" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-4764" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4765" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-4766" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4767" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4768" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-4769" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-4770" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-237">W,\rho \models used(id,a,e,t,attrs)</script> holds if and only if:</p>
-
-<li>[WF] The identifier <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-238-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4771"><span style="display: inline-block; position: relative; width: 16px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4772"><span class="mi" id="MathJax-Span-4773" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4774" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-238">id</script> denotes an event <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-239-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4775"><span style="display: inline-block; position: relative; width: 158px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4776"><span class="mi" id="MathJax-Span-4777" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4778" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-4779" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-4780" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-4781" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-4782" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-4783" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4784" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-4785" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-4786" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-4787" style="font-family: STIXGeneral-Italic; padding-left: 6px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-4788" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-4789" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4790" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-4791" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4792" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-239">evt = \rho(id) \in Events</script>.
-</li>
-<li>[WF] The identifier <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-240-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4793"><span style="display: inline-block; position: relative; width: 10px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4794"><span class="mi" id="MathJax-Span-4795" style="font-family: STIXGeneral-Italic;">a</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-240">a</script> denotes an activity <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-241-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4796"><span style="display: inline-block; position: relative; width: 178px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4797"><span class="mi" id="MathJax-Span-4798" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-4799" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-4800" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-4801" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-4802" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-4803" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-4804" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4805" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-4806" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-4807" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-4808" style="font-family: STIXGeneral-Italic; padding-left: 6px;">A</span><span class="mi" id="MathJax-Span-4809" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-4810" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4811" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4812" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-4813" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4814" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4815" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4816" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4817" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-241">act = \rho(id) \in Activities</script>.
+<div data-title="Formalism 16 (rule_16)" data-count="16" id="rule_16" class="formalism"><div class="ruleTitle"><a href="#rule_16" class="internalDFN">Formalism 16 (rule_16)</a></div>
+  <p><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-237-Frame" class="MathJax"><nobr><span id="MathJax-Span-4745" class="math"><span style="display: inline-block; position: relative; width: 195px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4746" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4747" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4748" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4749" class="mi">ρ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-4750" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-4751" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4752" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4753" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4754" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4755" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4756" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4757" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4758" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4759" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4760" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4761" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4762" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4763" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4764" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4765" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4766" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4767" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4768" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4769" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4770" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.075em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-237" type="math/tex">W,\rho \models used(id,a,e,t,attrs)</script> holds if and only if:</p>
+
+<li>[WF] The identifier <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-238-Frame" class="MathJax"><nobr><span id="MathJax-Span-4771" class="math"><span style="display: inline-block; position: relative; width: 14px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.477em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4772" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4773" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4774" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-238" type="math/tex">id</script> denotes an event <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-239-Frame" class="MathJax"><nobr><span id="MathJax-Span-4775" class="math"><span style="display: inline-block; position: relative; width: 145px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4776" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4777" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4778" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4779" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-4780" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-4781" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4782" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4783" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4784" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4785" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-4786" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-4787" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4788" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4789" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4790" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4791" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4792" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.075em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-239" type="math/tex">evt = \rho(id) \in Events</script>.
 </li>
-<li>[WF] The identifier <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-242-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4818"><span style="display: inline-block; position: relative; width: 8px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4819"><span class="mi" id="MathJax-Span-4820" style="font-family: STIXGeneral-Italic;">e</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-242">e</script> denotes an entity <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-243-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4821"><span style="display: inline-block; position: relative; width: 160px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4822"><span class="mi" id="MathJax-Span-4823" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4824" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-4825" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-4826" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-4827" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-4828" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-4829" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-4830" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-4831" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-4832" style="font-family: STIXGeneral-Italic; padding-left: 6px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-4833" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-4834" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4835" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4836" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4837" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4838" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4839" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-243">ent = \rho(e) \in Entities</script>.
-</li>
-<li>The event <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-244-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4840"><span style="display: inline-block; position: relative; width: 22px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 51.3px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4841"><span class="mi" id="MathJax-Span-4842" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4843" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-4844" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 12.9px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-244">evt</script> is part of <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-245-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4845"><span style="display: inline-block; position: relative; width: 24px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4846"><span class="mi" id="MathJax-Span-4847" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-4848" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-4849" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 12.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-245">act</script>, i.e. <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-246-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4850"><span style="display: inline-block; position: relative; width: 200px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 54.4px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4851"><span class="mo" id="MathJax-Span-4852" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-4853" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4854" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-4855" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-4856" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4857" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-4858" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-4859" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-4860" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-4861" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-4862" style="font-family: STIXGeneral-Italic; padding-left: 6px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-4863" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-4864" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4865" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-4866" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4867" style="font-family: STIXGeneral-Italic;">A</span><span class="mi" id="MathJax-Span-4868" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-4869" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4870" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4871" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-4872" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4873" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4874" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4875" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4876" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.5px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-246">(evt,act) \in EventActivities</script>.
+<li>[WF] The identifier <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-240-Frame" class="MathJax"><nobr><span id="MathJax-Span-4793" class="math"><span style="display: inline-block; position: relative; width: 9px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4794" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4795" class="mi">a</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.609em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-240" type="math/tex">a</script> denotes an activity <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-241-Frame" class="MathJax"><nobr><span id="MathJax-Span-4796" class="math"><span style="display: inline-block; position: relative; width: 164px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4797" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4798" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4799" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4800" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-4801" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-4802" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4803" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4804" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4805" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4806" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-4807" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-4808" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4809" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4810" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4811" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4812" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4813" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4814" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4815" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4816" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4817" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.075em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-241" type="math/tex">act = \rho(id) \in Activities</script>.
 </li>
-<li>The type of <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-247-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4877"><span style="display: inline-block; position: relative; width: 22px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 51.3px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4878"><span class="mi" id="MathJax-Span-4879" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4880" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-4881" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 12.9px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-247">evt</script> is <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-248-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4882"><span style="display: inline-block; position: relative; width: 25px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.2px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4883"><span class="mi" id="MathJax-Span-4884" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-4885" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-4886" style="font-family: STIXGeneral-Italic;">e</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.8px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-248">use</script>, i.e., <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-249-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4887"><span style="display: inline-block; position: relative; width: 115px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.3px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4888"><span class="mi" id="MathJax-Span-4889" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4890" style="font-family: STIXGeneral-Italic;">y</span><span class="mi" id="MathJax-Span-4891" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-4892" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-4893" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-4894" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4895" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-4896" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-4897" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-4898" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-4899" style="font-family: STIXGeneral-Italic; padding-left: 6px;">u</span><span class="mi" id="MathJax-Span-4900" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-4901" style="font-family: STIXGeneral-Italic;">e</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-249">type(evt) = use</script>.
+<li>[WF] The identifier <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-242-Frame" class="MathJax"><nobr><span id="MathJax-Span-4818" class="math"><span style="display: inline-block; position: relative; width: 8px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4819" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4820" class="mi">e</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.609em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-242" type="math/tex">e</script> denotes an entity <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-243-Frame" class="MathJax"><nobr><span id="MathJax-Span-4821" class="math"><span style="display: inline-block; position: relative; width: 147px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.95em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4822" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4823" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4824" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4825" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-4826" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-4827" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4828" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4829" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4830" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-4831" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-4832" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4833" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4834" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4835" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4836" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4837" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4838" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4839" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.068em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-243" type="math/tex">ent = \rho(e) \in Entities</script>.
 </li>
-<li>The event <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-250-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4902"><span style="display: inline-block; position: relative; width: 22px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 51.3px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4903"><span class="mi" id="MathJax-Span-4904" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4905" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-4906" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 12.9px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-250">evt</script> occurred at time <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-251-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4907"><span style="display: inline-block; position: relative; width: 6px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4908"><span class="mi" id="MathJax-Span-4909" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 12.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-251">t</script>, i.e. <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-252-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4910"><span style="display: inline-block; position: relative; width: 96px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 54.4px -8.3px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4911"><span class="mi" id="MathJax-Span-4912" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4913" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4914" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-4915" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-4916" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-4917" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4918" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-4919" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-4920" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-4921" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-4922" style="font-family: STIXGeneral-Italic; padding-left: 6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.5px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-252">time(evt) = t</script>.
+<li>The event <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-244-Frame" class="MathJax"><nobr><span id="MathJax-Span-4840" class="math"><span style="display: inline-block; position: relative; width: 20px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.763em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4841" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4842" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4843" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4844" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.728em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-244" type="math/tex">evt</script> is part of <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-245-Frame" class="MathJax"><nobr><span id="MathJax-Span-4845" class="math"><span style="display: inline-block; position: relative; width: 21px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4846" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4847" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4848" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4849" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.721em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-245" type="math/tex">act</script>, i.e. <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-246-Frame" class="MathJax"><nobr><span id="MathJax-Span-4850" class="math"><span style="display: inline-block; position: relative; width: 186px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.922em, -0.478em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4851" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-4852" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4853" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4854" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4855" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4856" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4857" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4858" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4859" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4860" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-4861" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-4862" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4863" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4864" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4865" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4866" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4867" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4868" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4869" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4870" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4871" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4872" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4873" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4874" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4875" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4876" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.038em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-246" type="math/tex">(evt,act) \in EventActivities</script>.
 </li>
-<li>The event <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-253-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4923"><span style="display: inline-block; position: relative; width: 22px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 51.3px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4924"><span class="mi" id="MathJax-Span-4925" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4926" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-4927" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 12.9px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-253">evt</script> used <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-254-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4928"><span style="display: inline-block; position: relative; width: 25px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.5px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4929"><span class="mi" id="MathJax-Span-4930" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-4931" style="font-family: STIXGeneral-Italic;">b</span><span class="mi" id="MathJax-Span-4932" style="font-family: STIXGeneral-Italic;">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-254">obj</script>, i.e. <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-255-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4933"><span style="display: inline-block; position: relative; width: 128px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 54.4px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4934"><span class="mo" id="MathJax-Span-4935" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-4936" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4937" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-4938" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-4939" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4940" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mi" id="MathJax-Span-4941" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-4942" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-4943" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-4944" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-4945" style="font-family: STIXGeneral-Italic; padding-left: 6px;">U<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.8px;"></span></span><span class="mi" id="MathJax-Span-4946" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-4947" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4948" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.6px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-255">(evt,ent) \in Used</script>.
+<li>The type of <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-247-Frame" class="MathJax"><nobr><span id="MathJax-Span-4877" class="math"><span style="display: inline-block; position: relative; width: 20px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.763em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4878" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4879" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4880" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4881" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.728em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-247" type="math/tex">evt</script> is <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-248-Frame" class="MathJax"><nobr><span id="MathJax-Span-4882" class="math"><span style="display: inline-block; position: relative; width: 23px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.484em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4883" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4884" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4885" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4886" class="mi">e</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.612em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-248" type="math/tex">use</script>, i.e., <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-249-Frame" class="MathJax"><nobr><span id="MathJax-Span-4887" class="math"><span style="display: inline-block; position: relative; width: 106px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.951em, -0.488em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4888" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4889" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4890" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4891" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4892" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4893" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4894" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4895" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4896" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4897" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-4898" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-4899" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4900" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4901" class="mi">e</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.069em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-249" type="math/tex">type(evt) = use</script>.
 </li>
-<li>The attribute values match: <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-256-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4949"><span style="display: inline-block; position: relative; width: 149px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 54.4px -8.8px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4950"><span class="mi" id="MathJax-Span-4951" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-4952" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-4953" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4954" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-4955" style="font-family: STIXGeneral-Italic;">h</span><span class="mo" id="MathJax-Span-4956" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-4957" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-4958" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4959" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mi" id="MathJax-Span-4960" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-4961" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-4962" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4963" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-4964" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4965" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4966" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-4967" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-4968" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.6px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-256">match(W,evt,attrs)</script>.
+<li>The event <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-250-Frame" class="MathJax"><nobr><span id="MathJax-Span-4902" class="math"><span style="display: inline-block; position: relative; width: 20px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.763em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4903" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4904" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4905" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4906" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.728em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-250" type="math/tex">evt</script> occurred at time <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-251-Frame" class="MathJax"><nobr><span id="MathJax-Span-4907" class="math"><span style="display: inline-block; position: relative; width: 5px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4908" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4909" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.721em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-251" type="math/tex">t</script>, i.e. <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-252-Frame" class="MathJax"><nobr><span id="MathJax-Span-4910" class="math"><span style="display: inline-block; position: relative; width: 89px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.922em, -0.488em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4911" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4912" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4913" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4914" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4915" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4916" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4917" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4918" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4919" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4920" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-4921" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-4922" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.038em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-252" type="math/tex">time(evt) = t</script>.
+</li>
+<li>The event <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-253-Frame" class="MathJax"><nobr><span id="MathJax-Span-4923" class="math"><span style="display: inline-block; position: relative; width: 20px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.763em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4924" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4925" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4926" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4927" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.728em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-253" type="math/tex">evt</script> used <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-254-Frame" class="MathJax"><nobr><span id="MathJax-Span-4928" class="math"><span style="display: inline-block; position: relative; width: 22px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.499em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4929" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4930" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4931" class="mi">b</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4932" class="mi">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-254" type="math/tex">obj</script>, i.e. <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-255-Frame" class="MathJax"><nobr><span id="MathJax-Span-4933" class="math"><span style="display: inline-block; position: relative; width: 119px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.922em, -0.478em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4934" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-4935" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4936" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4937" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4938" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4939" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4940" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4941" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4942" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4943" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-4944" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-4945" class="mi">U<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.043em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4946" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4947" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4948" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.045em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-255" type="math/tex">(evt,ent) \in Used</script>.
+</li>
+<li>The attribute values match: <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-256-Frame" class="MathJax"><nobr><span id="MathJax-Span-4949" class="math"><span style="display: inline-block; position: relative; width: 136px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.922em, -0.514em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4950" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4951" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4952" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4953" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4954" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4955" class="mi">h</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4956" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4957" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4958" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4959" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4960" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4961" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4962" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4963" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4964" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4965" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4966" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4967" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4968" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.045em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-256" type="math/tex">match(W,evt,attrs)</script>.
 </li></div>
 
 </section>
 <section id="invalidation">
 <h4><span class="secno">4.4.3 </span> Invalidation </h4>
 
-<p>The invalidation formula is of the form <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-257-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-4969"><span style="display: inline-block; position: relative; width: 258px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-4970"><span class="mi" id="MathJax-Span-4971" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-4972" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-4973" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-4974" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span class="mi" id="MathJax-Span-4975" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-4976" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-4977" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-4978" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-4979" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4980" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-4981" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-4982" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4983" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-4984" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-4985" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-4986" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-4987" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-4988" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-4989" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-4990" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4991" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-4992" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4993" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-4994" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4995" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-4996" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-4997" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-4998" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-4999" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5000" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-5001" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-5002" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-257">wasInvalidatedBy(id,e,a,t,attrs)</script> where <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-258-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5003"><span style="display: inline-block; position: relative; width: 16px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5004"><span class="mi" id="MathJax-Span-5005" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5006" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-258">id</script> is an event identifier, <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-259-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5007"><span style="display: inline-block; position: relative; width: 8px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5008"><span class="mi" id="MathJax-Span-5009" style="font-family: STIXGeneral-Italic;">e</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-259">e</script> is an entity identifier, <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-260-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5010"><span style="display: inline-block; position: relative; width: 10px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5011"><span class="mi" id="MathJax-Span-5012" style="font-family: STIXGeneral-Italic;">a</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-260">a</script> is an activity identifier, <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-261-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5013"><span style="display: inline-block; position: relative; width: 35px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5014"><span class="mi" id="MathJax-Span-5015" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5016" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5017" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5018" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-5019" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 12.8px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-261">attrs</script> is a set of attribute-value pairs, and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-262-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5020"><span style="display: inline-block; position: relative; width: 6px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5021"><span class="mi" id="MathJax-Span-5022" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 12.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-262">t</script> is an optional time.</p>
-
-<div class="formalism" id="rule_17" data-count="17" data-title="Formalism 17 (rule_17)"><div class="ruleTitle"><a class="internalDFN" href="#rule_17">Formalism 17 (rule_17)</a></div> <p>An invaliation formula <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-263-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5023"><span style="display: inline-block; position: relative; width: 317px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5024"><span class="mi" id="MathJax-Span-5025" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-5026" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-5027" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-5028" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-5029" style="font-family: STIXGeneral-Italic; padding-left: 6px;">w</span><span class="mi" id="MathJax-Span-5030" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5031" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-5032" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span class="mi" id="MathJax-Span-5033" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-5034" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-5035" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5036" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-5037" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5038" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-5039" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5040" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5041" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5042" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-5043" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-5044" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-5045" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-5046" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5047" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-5048" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-5049" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-5050" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-5051" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-5052" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-5053" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-5054" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-5055" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-5056" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5057" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5058" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-5059" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-5060" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-263">W,\rho \models
+<p>The invalidation formula is of the form <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-257-Frame" class="MathJax"><nobr><span id="MathJax-Span-4969" class="math"><span style="display: inline-block; position: relative; width: 233px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.511em); top: -2.57em; left: 0em;"><span id="MathJax-Span-4970" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4971" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4972" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4973" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4974" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4975" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4976" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4977" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4978" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4979" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4980" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4981" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4982" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4983" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4984" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4985" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4986" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4987" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4988" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4989" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4990" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4991" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4992" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4993" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-4994" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4995" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-4996" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-4997" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4998" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-4999" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5000" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5001" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5002" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-257" type="math/tex">wasInvalidatedBy(id,e,a,t,attrs)</script> where <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-258-Frame" class="MathJax"><nobr><span id="MathJax-Span-5003" class="math"><span style="display: inline-block; position: relative; width: 14px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.477em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5004" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5005" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5006" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-258" type="math/tex">id</script> is an event identifier, <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-259-Frame" class="MathJax"><nobr><span id="MathJax-Span-5007" class="math"><span style="display: inline-block; position: relative; width: 8px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5008" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5009" class="mi">e</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.609em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-259" type="math/tex">e</script> is an entity identifier, <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-260-Frame" class="MathJax"><nobr><span id="MathJax-Span-5010" class="math"><span style="display: inline-block; position: relative; width: 9px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5011" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5012" class="mi">a</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.609em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-260" type="math/tex">a</script> is an activity identifier, <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-261-Frame" class="MathJax"><nobr><span id="MathJax-Span-5013" class="math"><span style="display: inline-block; position: relative; width: 32px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.758em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5014" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5015" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5016" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5017" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5018" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5019" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.723em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-261" type="math/tex">attrs</script> is a set of attribute-value pairs, and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-262-Frame" class="MathJax"><nobr><span id="MathJax-Span-5020" class="math"><span style="display: inline-block; position: relative; width: 5px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5021" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5022" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.721em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-262" type="math/tex">t</script> is an optional time.</p>
+
+<div data-title="Formalism 17 (rule_17)" data-count="17" id="rule_17" class="formalism"><div class="ruleTitle"><a href="#rule_17" class="internalDFN">Formalism 17 (rule_17)</a></div> <p>An invaliation formula <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-263-Frame" class="MathJax"><nobr><span id="MathJax-Span-5023" class="math"><span style="display: inline-block; position: relative; width: 287px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5024" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5025" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5026" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-5027" class="mi">ρ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-5028" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-5029" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5030" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5031" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5032" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5033" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5034" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5035" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5036" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5037" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5038" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5039" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5040" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5041" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5042" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5043" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5044" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5045" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5046" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5047" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5048" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-5049" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5050" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-5051" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5052" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-5053" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5054" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-5055" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5056" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5057" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5058" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5059" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5060" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-263" type="math/tex">W,\rho \models
   wasInvalidatedBy(id,e,a,t,attrs)</script> holds  if and only if:</p>
 <ol>
-<li>[WF] The identifier <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-264-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5061"><span style="display: inline-block; position: relative; width: 16px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5062"><span class="mi" id="MathJax-Span-5063" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5064" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-264">id</script> denotes an event <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-265-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5065"><span style="display: inline-block; position: relative; width: 158px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5066"><span class="mi" id="MathJax-Span-5067" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5068" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-5069" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-5070" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-5071" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-5072" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-5073" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5074" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-5075" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-5076" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-5077" style="font-family: STIXGeneral-Italic; padding-left: 6px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-5078" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-5079" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5080" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-5081" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5082" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-265">evt = \rho(id) \in Events</script>.
-</li>
-<li>[WF] The identifier <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-266-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5083"><span style="display: inline-block; position: relative; width: 8px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5084"><span class="mi" id="MathJax-Span-5085" style="font-family: STIXGeneral-Italic;">e</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-266">e</script> denotes an entity <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-267-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5086"><span style="display: inline-block; position: relative; width: 160px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5087"><span class="mi" id="MathJax-Span-5088" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5089" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-5090" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-5091" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-5092" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-5093" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-5094" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-5095" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-5096" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-5097" style="font-family: STIXGeneral-Italic; padding-left: 6px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-5098" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-5099" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5100" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5101" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5102" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5103" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5104" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-267">ent = \rho(e) \in Entities</script>.
-</li>
-<li>[WF] The identifier <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-268-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5105"><span style="display: inline-block; position: relative; width: 10px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5106"><span class="mi" id="MathJax-Span-5107" style="font-family: STIXGeneral-Italic;">a</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-268">a</script> denotes an activity <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-269-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5108"><span style="display: inline-block; position: relative; width: 172px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5109"><span class="mi" id="MathJax-Span-5110" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5111" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-5112" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-5113" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-5114" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-5115" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-5116" style="font-family: STIXGeneral-Italic;">a</span><span class="mo" id="MathJax-Span-5117" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-5118" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-5119" style="font-family: STIXGeneral-Italic; padding-left: 6px;">A</span><span class="mi" id="MathJax-Span-5120" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-5121" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5122" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5123" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-5124" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5125" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5126" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5127" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5128" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-269">act = \rho(a) \in Activities</script>.
+<li>[WF] The identifier <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-264-Frame" class="MathJax"><nobr><span id="MathJax-Span-5061" class="math"><span style="display: inline-block; position: relative; width: 14px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.477em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5062" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5063" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5064" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-264" type="math/tex">id</script> denotes an event <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-265-Frame" class="MathJax"><nobr><span id="MathJax-Span-5065" class="math"><span style="display: inline-block; position: relative; width: 145px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5066" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5067" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5068" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5069" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-5070" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-5071" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5072" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5073" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5074" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5075" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-5076" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-5077" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5078" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5079" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5080" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5081" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5082" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.075em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-265" type="math/tex">evt = \rho(id) \in Events</script>.
 </li>
-<li>The event <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-270-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5129"><span style="display: inline-block; position: relative; width: 22px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 51.3px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5130"><span class="mi" id="MathJax-Span-5131" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5132" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-5133" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 12.9px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-270">evt</script> is involved in <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-271-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5134"><span style="display: inline-block; position: relative; width: 24px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5135"><span class="mi" id="MathJax-Span-5136" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5137" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-5138" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 12.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-271">act</script>, that is, <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-272-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5139"><span style="display: inline-block; position: relative; width: 200px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 54.4px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5140"><span class="mo" id="MathJax-Span-5141" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-5142" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5143" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-5144" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-5145" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-5146" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-5147" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-5148" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-5149" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-5150" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-5151" style="font-family: STIXGeneral-Italic; padding-left: 6px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-5152" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-5153" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5154" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-5155" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5156" style="font-family: STIXGeneral-Italic;">A</span><span class="mi" id="MathJax-Span-5157" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-5158" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5159" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5160" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-5161" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5162" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5163" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5164" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5165" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.5px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-272">(evt,act) \in EventActivities</script>.
-</li>
-<li>The type of <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-273-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5166"><span style="display: inline-block; position: relative; width: 22px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 51.3px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5167"><span class="mi" id="MathJax-Span-5168" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5169" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-5170" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 12.9px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-273">evt</script> is <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-274-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5171"><span style="display: inline-block; position: relative; width: 94px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5172"><span class="mi" id="MathJax-Span-5173" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5174" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-5175" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-5176" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5177" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-5178" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5179" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-5180" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5181" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5182" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5183" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-5184" style="font-family: STIXGeneral-Italic;">n</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.6px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-274">invalidation</script>, i.e. <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-275-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5185"><span style="display: inline-block; position: relative; width: 184px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.3px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5186"><span class="mi" id="MathJax-Span-5187" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5188" style="font-family: STIXGeneral-Italic;">y</span><span class="mi" id="MathJax-Span-5189" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-5190" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-5191" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-5192" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5193" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-5194" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-5195" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-5196" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-5197" style="font-family: STIXGeneral-Italic; padding-left: 6px;">i</span><span class="mi" id="MathJax-Span-5198" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-5199" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-5200" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5201" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-5202" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5203" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-5204" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5205" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5206" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5207" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-5208" style="font-family: STIXGeneral-Italic;">n</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-275">type(evt) = invalidation</script>.
+<li>[WF] The identifier <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-266-Frame" class="MathJax"><nobr><span id="MathJax-Span-5083" class="math"><span style="display: inline-block; position: relative; width: 8px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5084" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5085" class="mi">e</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.609em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-266" type="math/tex">e</script> denotes an entity <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-267-Frame" class="MathJax"><nobr><span id="MathJax-Span-5086" class="math"><span style="display: inline-block; position: relative; width: 147px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.95em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5087" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5088" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5089" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5090" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-5091" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-5092" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5093" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5094" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5095" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-5096" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-5097" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5098" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5099" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5100" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5101" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5102" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5103" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5104" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.068em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-267" type="math/tex">ent = \rho(e) \in Entities</script>.
 </li>
-<li>The event <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-276-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5209"><span style="display: inline-block; position: relative; width: 22px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 51.3px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5210"><span class="mi" id="MathJax-Span-5211" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5212" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-5213" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 12.9px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-276">evt</script> occurred at time <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-277-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5214"><span style="display: inline-block; position: relative; width: 6px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5215"><span class="mi" id="MathJax-Span-5216" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 12.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-277">t</script>, i.e. <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-278-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5217"><span style="display: inline-block; position: relative; width: 96px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 54.4px -8.3px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5218"><span class="mi" id="MathJax-Span-5219" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5220" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5221" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-5222" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-5223" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-5224" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5225" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-5226" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-5227" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-5228" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-5229" style="font-family: STIXGeneral-Italic; padding-left: 6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.5px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-278">time(evt) = t</script>.
+<li>[WF] The identifier <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-268-Frame" class="MathJax"><nobr><span id="MathJax-Span-5105" class="math"><span style="display: inline-block; position: relative; width: 9px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5106" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5107" class="mi">a</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.609em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-268" type="math/tex">a</script> denotes an activity <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-269-Frame" class="MathJax"><nobr><span id="MathJax-Span-5108" class="math"><span style="display: inline-block; position: relative; width: 159px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.95em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5109" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5110" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5111" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5112" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-5113" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-5114" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5115" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5116" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5117" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-5118" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-5119" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5120" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5121" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5122" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5123" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5124" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5125" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5126" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5127" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5128" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.068em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-269" type="math/tex">act = \rho(a) \in Activities</script>.
 </li>
-<li>The event <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-279-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5230"><span style="display: inline-block; position: relative; width: 22px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 51.3px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5231"><span class="mi" id="MathJax-Span-5232" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5233" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-5234" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 12.9px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-279">evt</script> invalidated <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-280-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5235"><span style="display: inline-block; position: relative; width: 24px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5236"><span class="mi" id="MathJax-Span-5237" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5238" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-5239" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 12.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-280">ent</script>, i.e. <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-281-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5240"><span style="display: inline-block; position: relative; width: 177px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 54.4px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5241"><span class="mo" id="MathJax-Span-5242" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-5243" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5244" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-5245" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-5246" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-5247" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mi" id="MathJax-Span-5248" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-5249" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-5250" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-5251" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-5252" style="font-family: STIXGeneral-Italic; padding-left: 6px;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span class="mi" id="MathJax-Span-5253" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-5254" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-5255" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5256" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-5257" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5258" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-5259" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5260" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5261" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5262" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.6px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-281">(evt,ent) \in Invalidated</script>.
+<li>The event <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-270-Frame" class="MathJax"><nobr><span id="MathJax-Span-5129" class="math"><span style="display: inline-block; position: relative; width: 20px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.763em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5130" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5131" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5132" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5133" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.728em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-270" type="math/tex">evt</script> is involved in <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-271-Frame" class="MathJax"><nobr><span id="MathJax-Span-5134" class="math"><span style="display: inline-block; position: relative; width: 21px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5135" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5136" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5137" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5138" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.721em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-271" type="math/tex">act</script>, that is, <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-272-Frame" class="MathJax"><nobr><span id="MathJax-Span-5139" class="math"><span style="display: inline-block; position: relative; width: 186px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.922em, -0.478em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5140" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-5141" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5142" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5143" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5144" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5145" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-5146" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5147" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5148" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5149" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-5150" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-5151" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5152" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5153" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5154" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5155" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5156" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5157" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5158" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5159" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5160" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5161" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5162" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5163" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5164" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5165" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.038em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-272" type="math/tex">(evt,act) \in EventActivities</script>.
 </li>
-<li>The attribute values match: <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-282-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5263"><span style="display: inline-block; position: relative; width: 149px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 54.4px -8.8px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5264"><span class="mi" id="MathJax-Span-5265" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-5266" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5267" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5268" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-5269" style="font-family: STIXGeneral-Italic;">h</span><span class="mo" id="MathJax-Span-5270" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-5271" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-5272" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-5273" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mi" id="MathJax-Span-5274" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-5275" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-5276" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-5277" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-5278" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5279" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5280" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-5281" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-5282" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.6px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-282">match(W,evt,attrs)</script>.
+<li>The type of <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-273-Frame" class="MathJax"><nobr><span id="MathJax-Span-5166" class="math"><span style="display: inline-block; position: relative; width: 20px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.763em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5167" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5168" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5169" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5170" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.728em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-273" type="math/tex">evt</script> is <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-274-Frame" class="MathJax"><nobr><span id="MathJax-Span-5171" class="math"><span style="display: inline-block; position: relative; width: 83px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.763em, -0.477em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5172" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5173" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5174" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5175" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5176" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5177" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5178" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5179" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5180" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5181" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5182" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5183" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5184" class="mi">n</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.875em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-274" type="math/tex">invalidation</script>, i.e. <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-275-Frame" class="MathJax"><nobr><span id="MathJax-Span-5185" class="math"><span style="display: inline-block; position: relative; width: 166px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.488em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5186" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5187" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5188" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5189" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5190" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5191" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5192" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5193" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5194" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5195" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-5196" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-5197" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5198" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5199" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5200" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5201" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5202" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5203" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5204" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5205" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5206" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5207" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5208" class="mi">n</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-275" type="math/tex">type(evt) = invalidation</script>.
+</li>
+<li>The event <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-276-Frame" class="MathJax"><nobr><span id="MathJax-Span-5209" class="math"><span style="display: inline-block; position: relative; width: 20px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.763em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5210" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5211" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5212" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5213" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.728em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-276" type="math/tex">evt</script> occurred at time <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-277-Frame" class="MathJax"><nobr><span id="MathJax-Span-5214" class="math"><span style="display: inline-block; position: relative; width: 5px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5215" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5216" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.721em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-277" type="math/tex">t</script>, i.e. <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-278-Frame" class="MathJax"><nobr><span id="MathJax-Span-5217" class="math"><span style="display: inline-block; position: relative; width: 89px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.922em, -0.488em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5218" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5219" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5220" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5221" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5222" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5223" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5224" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5225" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5226" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5227" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-5228" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-5229" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.038em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-278" type="math/tex">time(evt) = t</script>.
+</li>
+<li>The event <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-279-Frame" class="MathJax"><nobr><span id="MathJax-Span-5230" class="math"><span style="display: inline-block; position: relative; width: 20px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.763em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5231" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5232" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5233" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5234" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.728em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-279" type="math/tex">evt</script> invalidated <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-280-Frame" class="MathJax"><nobr><span id="MathJax-Span-5235" class="math"><span style="display: inline-block; position: relative; width: 21px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5236" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5237" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5238" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5239" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.721em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-280" type="math/tex">ent</script>, i.e. <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-281-Frame" class="MathJax"><nobr><span id="MathJax-Span-5240" class="math"><span style="display: inline-block; position: relative; width: 163px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.922em, -0.478em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5241" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-5242" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5243" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5244" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5245" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5246" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-5247" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5248" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5249" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5250" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-5251" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-5252" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5253" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5254" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5255" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5256" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5257" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5258" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5259" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5260" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5261" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5262" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.045em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-281" type="math/tex">(evt,ent) \in Invalidated</script>.
+</li>
+<li>The attribute values match: <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-282-Frame" class="MathJax"><nobr><span id="MathJax-Span-5263" class="math"><span style="display: inline-block; position: relative; width: 136px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.922em, -0.514em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5264" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5265" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5266" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5267" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5268" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5269" class="mi">h</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5270" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5271" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5272" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-5273" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5274" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5275" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5276" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-5277" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5278" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5279" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5280" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5281" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5282" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.045em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-282" type="math/tex">match(W,evt,attrs)</script>.
 </li></ol></div>
 </section>
 
@@ -1766,74 +1766,74 @@
 
 <h4><span class="secno">4.4.4 </span> Association </h4>
 
-<p>An association formula has the form <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-283-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5283"><span style="display: inline-block; position: relative; width: 290px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5284"><span class="mi" id="MathJax-Span-5285" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-5286" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5287" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-5288" style="font-family: STIXGeneral-Italic;">A</span><span class="mi" id="MathJax-Span-5289" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-5290" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-5291" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-5292" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-5293" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5294" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5295" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5296" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5297" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-5298" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mi" id="MathJax-Span-5299" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5300" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5301" style="font-family: STIXGeneral-Italic;">h</span><span class="mo" id="MathJax-Span-5302" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-5303" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5304" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-5305" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-5306" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-5307" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-5308" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-5309" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-5310" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-5311" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">p</span><span class="mi" id="MathJax-Span-5312" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mo" id="MathJax-Span-5313" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-5314" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-5315" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5316" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5317" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-5318" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-5319" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-283">wasAssociatedWith(id,a,ag,pl,attrs)</script>.</p>
-
-<div class="formalism" id="rule_18" data-count="18" data-title="Formalism 18 (rule_18)"><div class="ruleTitle"><a class="internalDFN" href="#rule_18">Formalism 18 (rule_18)</a></div><p>
-  <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-284-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5320"><span style="display: inline-block; position: relative; width: 350px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5321"><span class="mi" id="MathJax-Span-5322" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-5323" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-5324" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-5325" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-5326" style="font-family: STIXGeneral-Italic; padding-left: 6px;">w</span><span class="mi" id="MathJax-Span-5327" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5328" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-5329" style="font-family: STIXGeneral-Italic;">A</span><span class="mi" id="MathJax-Span-5330" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-5331" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-5332" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-5333" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-5334" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5335" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5336" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5337" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5338" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-5339" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mi" id="MathJax-Span-5340" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5341" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5342" style="font-family: STIXGeneral-Italic;">h</span><span class="mo" id="MathJax-Span-5343" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-5344" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5345" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-5346" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-5347" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-5348" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-5349" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-5350" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-5351" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-5352" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">p</span><span class="mi" id="MathJax-Span-5353" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mo" id="MathJax-Span-5354" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-5355" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-5356" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5357" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5358" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-5359" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-5360" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-284">W,\rho \models wasAssociatedWith(id,a,ag,pl,attrs)</script> holds if and only if:</p>
+<p>An association formula has the form <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-283-Frame" class="MathJax"><nobr><span id="MathJax-Span-5283" class="math"><span style="display: inline-block; position: relative; width: 262px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.511em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5284" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5285" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5286" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5287" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5288" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5289" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5290" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5291" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5292" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5293" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5294" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5295" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5296" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5297" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5298" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5299" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5300" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5301" class="mi">h</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5302" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5303" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5304" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5305" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-5306" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5307" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-5308" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5309" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5310" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-5311" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5312" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5313" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-5314" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5315" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5316" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5317" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5318" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5319" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-283" type="math/tex">wasAssociatedWith(id,a,ag,pl,attrs)</script>.</p>
+
+<div data-title="Formalism 18 (rule_18)" data-count="18" id="rule_18" class="formalism"><div class="ruleTitle"><a href="#rule_18" class="internalDFN">Formalism 18 (rule_18)</a></div><p>
+  <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-284-Frame" class="MathJax"><nobr><span id="MathJax-Span-5320" class="math"><span style="display: inline-block; position: relative; width: 316px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5321" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5322" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5323" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-5324" class="mi">ρ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-5325" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-5326" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5327" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5328" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5329" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5330" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5331" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5332" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5333" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5334" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5335" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5336" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5337" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5338" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5339" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5340" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5341" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5342" class="mi">h</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5343" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5344" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5345" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5346" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-5347" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5348" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-5349" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5350" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5351" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-5352" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5353" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5354" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-5355" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5356" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5357" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5358" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5359" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5360" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-284" type="math/tex">W,\rho \models wasAssociatedWith(id,a,ag,pl,attrs)</script> holds if and only if:</p>
 <ol>
-<li>[WF] <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-285-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5361"><span style="display: inline-block; position: relative; width: 42px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5362"><span class="mi" id="MathJax-Span-5363" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5364" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-5365" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-5366" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-5367" style="font-family: STIXGeneral-Italic;">c</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.8px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-285">assoc</script> denotes an association <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-286-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5368"><span style="display: inline-block; position: relative; width: 224px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5369"><span class="mi" id="MathJax-Span-5370" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5371" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-5372" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-5373" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-5374" style="font-family: STIXGeneral-Italic;">c</span><span class="mo" id="MathJax-Span-5375" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-5376" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-5377" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-5378" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5379" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-5380" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-5381" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-5382" style="font-family: STIXGeneral-Italic; padding-left: 6px;">A</span><span class="mi" id="MathJax-Span-5383" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-5384" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-5385" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-5386" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-5387" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5388" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5389" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5390" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5391" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-5392" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-5393" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-286">assoc = \rho(id) \in Associations</script>.
+<li>[WF] <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-285-Frame" class="MathJax"><nobr><span id="MathJax-Span-5361" class="math"><span style="display: inline-block; position: relative; width: 38px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5362" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5363" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5364" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5365" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5366" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5367" class="mi">c</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.612em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-285" type="math/tex">assoc</script> denotes an association <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-286-Frame" class="MathJax"><nobr><span id="MathJax-Span-5368" class="math"><span style="display: inline-block; position: relative; width: 203px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5369" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5370" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5371" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5372" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5373" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5374" class="mi">c</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-5375" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-5376" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5377" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5378" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5379" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5380" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-5381" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-5382" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5383" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5384" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5385" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5386" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5387" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5388" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5389" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5390" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5391" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5392" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5393" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.075em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-286" type="math/tex">assoc = \rho(id) \in Associations</script>.
 </li>
-<li>[WF] <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-287-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5394"><span style="display: inline-block; position: relative; width: 10px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5395"><span class="mi" id="MathJax-Span-5396" style="font-family: STIXGeneral-Italic;">a</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-287">a</script> denotes an activity <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-288-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5397"><span style="display: inline-block; position: relative; width: 172px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5398"><span class="mi" id="MathJax-Span-5399" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5400" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-5401" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-5402" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-5403" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-5404" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-5405" style="font-family: STIXGeneral-Italic;">a</span><span class="mo" id="MathJax-Span-5406" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-5407" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-5408" style="font-family: STIXGeneral-Italic; padding-left: 6px;">A</span><span class="mi" id="MathJax-Span-5409" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-5410" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5411" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5412" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-5413" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5414" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5415" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5416" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5417" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-288">act = \rho(a) \in Activities</script>.
-</li>
-<li>[WF] <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-289-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5418"><span style="display: inline-block; position: relative; width: 20px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5419"><span class="mi" id="MathJax-Span-5420" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5421" style="font-family: STIXGeneral-Italic;">g</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 14.5px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-289">ag</script> denotes an agent <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-290-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5422"><span style="display: inline-block; position: relative; width: 186px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5423"><span class="mi" id="MathJax-Span-5424" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5425" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-5426" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5427" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-5428" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-5429" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-5430" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-5431" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-5432" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5433" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-5434" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-5435" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-5436" style="font-family: STIXGeneral-Italic; padding-left: 6px;">A</span><span class="mi" id="MathJax-Span-5437" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-5438" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5439" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-5440" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5441" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-290">agent = \rho(ag) \in Agents</script>.
+<li>[WF] <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-287-Frame" class="MathJax"><nobr><span id="MathJax-Span-5394" class="math"><span style="display: inline-block; position: relative; width: 9px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5395" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5396" class="mi">a</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.609em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-287" type="math/tex">a</script> denotes an activity <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-288-Frame" class="MathJax"><nobr><span id="MathJax-Span-5397" class="math"><span style="display: inline-block; position: relative; width: 159px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.95em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5398" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5399" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5400" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5401" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-5402" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-5403" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5404" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5405" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5406" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-5407" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-5408" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5409" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5410" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5411" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5412" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5413" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5414" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5415" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5416" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5417" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.068em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-288" type="math/tex">act = \rho(a) \in Activities</script>.
 </li>
-<li>[WF] <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-291-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5442"><span style="display: inline-block; position: relative; width: 15px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -10.5px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5443"><span class="mi" id="MathJax-Span-5444" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-5445" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-291">pl</script> is either the placeholder <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-292-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5446"><span style="display: inline-block; position: relative; width: 13px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(39.5px 19360px 48.7px -7.8px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5447"><span class="mo" id="MathJax-Span-5448" style="font-family: STIXGeneral-Regular;">−</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 5.2px; vertical-align: 1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-292">-</script> or denotes a plan <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-293-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5449"><span style="display: inline-block; position: relative; width: 164px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -10.5px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5450"><span class="mi" id="MathJax-Span-5451" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-5452" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-5453" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5454" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-5455" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-5456" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-5457" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-5458" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-5459" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mo" id="MathJax-Span-5460" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-5461" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-5462" style="font-family: STIXGeneral-Italic; padding-left: 6px;">P</span><span class="mi" id="MathJax-Span-5463" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-5464" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5465" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-5466" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-293">plan=\rho(pl) \in Plans</script>.
+<li>[WF] <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-289-Frame" class="MathJax"><nobr><span id="MathJax-Span-5418" class="math"><span style="display: inline-block; position: relative; width: 17px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.951em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5419" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5420" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5421" class="mi">g</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.817em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-289" type="math/tex">ag</script> denotes an agent <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-290-Frame" class="MathJax"><nobr><span id="MathJax-Span-5422" class="math"><span style="display: inline-block; position: relative; width: 165px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.951em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5423" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5424" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5425" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5426" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5427" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5428" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-5429" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-5430" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5431" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5432" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5433" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5434" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-5435" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-5436" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5437" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5438" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5439" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5440" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5441" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.069em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-290" type="math/tex">agent = \rho(ag) \in Agents</script>.
 </li>
-<li>The association associates the agent with the activity and plan, i.e. <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-294-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5467"><span style="display: inline-block; position: relative; width: 324px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5468"><span class="mo" id="MathJax-Span-5469" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-5470" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5471" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-5472" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-5473" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-5474" style="font-family: STIXGeneral-Italic;">c</span><span class="mo" id="MathJax-Span-5475" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-5476" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-5477" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-5478" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5479" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-5480" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-5481" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-5482" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-5483" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-5484" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-5485" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-5486" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">p</span><span class="mi" id="MathJax-Span-5487" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-5488" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5489" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-5490" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-5491" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-5492" style="font-family: STIXGeneral-Italic; padding-left: 6px;">A</span><span class="mi" id="MathJax-Span-5493" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-5494" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-5495" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-5496" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-5497" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5498" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5499" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5500" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5501" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-5502" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mi" id="MathJax-Span-5503" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5504" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5505" style="font-family: STIXGeneral-Italic;">h</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-294">(assoc,agent,act,plan) \in AssociatedWith</script>.
+<li>[WF] <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-291-Frame" class="MathJax"><nobr><span id="MathJax-Span-5442" class="math"><span style="display: inline-block; position: relative; width: 13px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.601em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5443" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5444" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5445" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.075em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-291" type="math/tex">pl</script> is either the placeholder <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-292-Frame" class="MathJax"><nobr><span id="MathJax-Span-5446" class="math"><span style="display: inline-block; position: relative; width: 12px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(2.109em, 1000em, 2.625em, -0.462em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5447" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-5448" class="mo">−</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.303em; vertical-align: 0.066em;"></span></span></nobr></span><script id="MathJax-Element-292" type="math/tex">-</script> or denotes a plan <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-293-Frame" class="MathJax"><nobr><span id="MathJax-Span-5449" class="math"><span style="display: inline-block; position: relative; width: 148px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.601em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5450" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5451" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5452" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5453" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5454" class="mi">n</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-5455" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-5456" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5457" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5458" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5459" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5460" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-5461" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-5462" class="mi">P</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5463" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5464" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5465" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5466" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.075em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-293" type="math/tex">plan=\rho(pl) \in Plans</script>.
 </li>
-<li>The attributes match: <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-295-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5506"><span style="display: inline-block; position: relative; width: 170px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 54.4px -8.8px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5507"><span class="mi" id="MathJax-Span-5508" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-5509" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5510" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5511" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-5512" style="font-family: STIXGeneral-Italic;">h</span><span class="mo" id="MathJax-Span-5513" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-5514" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-5515" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-5516" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-5517" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-5518" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-5519" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-5520" style="font-family: STIXGeneral-Italic;">c</span><span class="mo" id="MathJax-Span-5521" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-5522" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-5523" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5524" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5525" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-5526" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-5527" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.6px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-295">match(W,assoc,attrs)</script>.
+<li>The association associates the agent with the activity and plan, i.e. <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-294-Frame" class="MathJax"><nobr><span id="MathJax-Span-5467" class="math"><span style="display: inline-block; position: relative; width: 293px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.478em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5468" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-5469" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5470" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5471" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5472" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5473" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5474" class="mi">c</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5475" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-5476" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5477" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5478" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5479" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5480" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5481" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-5482" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5483" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5484" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5485" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-5486" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5487" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5488" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5489" class="mi">n</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5490" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-5491" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-5492" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5493" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5494" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5495" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5496" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5497" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5498" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5499" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5500" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5501" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5502" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5503" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5504" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5505" class="mi">h</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-294" type="math/tex">(assoc,agent,act,plan) \in AssociatedWith</script>.
+</li>
+<li>The attributes match: <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-295-Frame" class="MathJax"><nobr><span id="MathJax-Span-5506" class="math"><span style="display: inline-block; position: relative; width: 154px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.922em, -0.514em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5507" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5508" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5509" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5510" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5511" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5512" class="mi">h</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5513" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5514" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5515" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-5516" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5517" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5518" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5519" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5520" class="mi">c</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5521" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-5522" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5523" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5524" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5525" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5526" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5527" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.045em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-295" type="math/tex">match(W,assoc,attrs)</script>.
 </li></ol></div>
 </section>
 <section id="start-formulas">
 <h4><span class="secno">4.4.5 </span> Start Formulas </h4>
 
-<p>A start formula <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-296-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5528"><span style="display: inline-block; position: relative; width: 247px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5529"><span class="mi" id="MathJax-Span-5530" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-5531" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5532" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-5533" style="font-family: STIXGeneral-Italic;">S<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.2px;"></span></span><span class="mi" id="MathJax-Span-5534" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5535" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5536" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-5537" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5538" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5539" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-5540" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-5541" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-5542" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-5543" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5544" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-5545" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-5546" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-5547" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-5548" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-5549" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-5550" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-5551" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-5552" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-5553" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-5554" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-5555" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-5556" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-5557" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5558" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5559" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-5560" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-5561" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-296">wasStartedBy(id,a_2,e,a_1,attrs)</script> is interpreted as follows:</p>
-
-<div class="formalism" id="rule_19" data-count="19" data-title="Formalism 19 (rule_19)"><div class="ruleTitle"><a class="internalDFN" href="#rule_19">Formalism 19 (rule_19)</a></div>
-  <p><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-297-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5562"><span style="display: inline-block; position: relative; width: 306px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5563"><span class="mi" id="MathJax-Span-5564" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-5565" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-5566" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-5567" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-5568" style="font-family: STIXGeneral-Italic; padding-left: 6px;">w</span><span class="mi" id="MathJax-Span-5569" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5570" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-5571" style="font-family: STIXGeneral-Italic;">S<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.2px;"></span></span><span class="mi" id="MathJax-Span-5572" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5573" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5574" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-5575" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5576" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5577" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-5578" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-5579" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-5580" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-5581" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5582" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-5583" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-5584" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-5585" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-5586" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-5587" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-5588" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-5589" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-5590" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-5591" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-5592" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-5593" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-5594" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-5595" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5596" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5597" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-5598" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-5599" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-297">W,\rho \models wasStartedBy(id,a_2,e,a_1,attrs)</script> holds if and only if:</p>
+<p>A start formula <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-296-Frame" class="MathJax"><nobr><span id="MathJax-Span-5528" class="math"><span style="display: inline-block; position: relative; width: 223px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.511em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5529" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5530" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5531" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5532" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5533" class="mi">S<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.008em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5534" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5535" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5536" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5537" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5538" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5539" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5540" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5541" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5542" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5543" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5544" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5545" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-5546" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5547" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-5548" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5549" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-5550" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5551" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-5552" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5553" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-5554" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5555" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-5556" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5557" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5558" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5559" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5560" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5561" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-296" type="math/tex">wasStartedBy(id,a_2,e,a_1,attrs)</script> is interpreted as follows:</p>
+
+<div data-title="Formalism 19 (rule_19)" data-count="19" id="rule_19" class="formalism"><div class="ruleTitle"><a href="#rule_19" class="internalDFN">Formalism 19 (rule_19)</a></div>
+  <p><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-297-Frame" class="MathJax"><nobr><span id="MathJax-Span-5562" class="math"><span style="display: inline-block; position: relative; width: 277px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5563" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5564" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5565" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-5566" class="mi">ρ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-5567" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-5568" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5569" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5570" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5571" class="mi">S<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.008em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5572" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5573" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5574" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5575" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5576" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5577" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5578" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5579" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5580" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5581" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5582" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5583" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-5584" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5585" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-5586" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5587" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-5588" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5589" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-5590" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5591" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-5592" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5593" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-5594" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5595" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5596" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5597" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5598" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5599" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-297" type="math/tex">W,\rho \models wasStartedBy(id,a_2,e,a_1,attrs)</script> holds if and only if:</p>
 <ol>
-<li>[WF] <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-298-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5600"><span style="display: inline-block; position: relative; width: 16px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5601"><span class="mi" id="MathJax-Span-5602" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5603" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-298">id</script> denotes an event <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-299-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5604"><span style="display: inline-block; position: relative; width: 158px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5605"><span class="mi" id="MathJax-Span-5606" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5607" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-5608" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-5609" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-5610" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-5611" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-5612" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5613" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-5614" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-5615" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-5616" style="font-family: STIXGeneral-Italic; padding-left: 6px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-5617" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-5618" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5619" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-5620" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5621" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-299">evt = \rho(id) \in Events</script>.
-</li>
-<li>[WF] <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-300-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5622"><span style="display: inline-block; position: relative; width: 19px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(29.5px 19360px 46.9px -8.7px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-5623"><span class="msubsup" id="MathJax-Span-5624"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-5625" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-5626" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 13.4px; vertical-align: -3.9px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-300">a_2</script> denotes an activity <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-301-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5627"><span style="display: inline-block; position: relative; width: 190px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5628"><span class="mi" id="MathJax-Span-5629" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5630" style="font-family: STIXGeneral-Italic;">c</span><span class="msubsup" id="MathJax-Span-5631"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-5632" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-5633" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-5634" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-5635" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-5636" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-5637"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-5638" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-5639" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-5640" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-5641" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-5642" style="font-family: STIXGeneral-Italic; padding-left: 6px;">A</span><span class="mi" id="MathJax-Span-5643" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-5644" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5645" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5646" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-5647" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5648" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5649" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5650" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5651" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-301">act_2 = \rho(a_2) \in Activities</script>.
+<li>[WF] <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-298-Frame" class="MathJax"><nobr><span id="MathJax-Span-5600" class="math"><span style="display: inline-block; position: relative; width: 14px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.477em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5601" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5602" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5603" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-298" type="math/tex">id</script> denotes an event <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-299-Frame" class="MathJax"><nobr><span id="MathJax-Span-5604" class="math"><span style="display: inline-block; position: relative; width: 145px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5605" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5606" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5607" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5608" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-5609" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-5610" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5611" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5612" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5613" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5614" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-5615" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-5616" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5617" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5618" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5619" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5620" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5621" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.075em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-299" type="math/tex">evt = \rho(id) \in Events</script>.
 </li>
-<li>[WF] <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-302-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5652"><span style="display: inline-block; position: relative; width: 8px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5653"><span class="mi" id="MathJax-Span-5654" style="font-family: STIXGeneral-Italic;">e</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-302">e</script> denotes an entity <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-303-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5655"><span style="display: inline-block; position: relative; width: 160px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5656"><span class="mi" id="MathJax-Span-5657" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5658" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-5659" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-5660" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-5661" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-5662" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-5663" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-5664" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-5665" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-5666" style="font-family: STIXGeneral-Italic; padding-left: 6px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-5667" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-5668" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5669" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5670" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5671" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5672" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5673" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-303">ent = \rho(e) \in Entities</script>.
-</li>
-<li>[WF] <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-304-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5674"><span style="display: inline-block; position: relative; width: 19px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(29.5px 19360px 46.9px -8.7px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-5675"><span class="msubsup" id="MathJax-Span-5676"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-5677" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-5678" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 13.4px; vertical-align: -3.9px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-304">a_1</script> denotes an activity <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-305-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5679"><span style="display: inline-block; position: relative; width: 190px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5680"><span class="mi" id="MathJax-Span-5681" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5682" style="font-family: STIXGeneral-Italic;">c</span><span class="msubsup" id="MathJax-Span-5683"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-5684" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-5685" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-5686" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-5687" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-5688" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-5689"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-5690" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-5691" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-5692" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-5693" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-5694" style="font-family: STIXGeneral-Italic; padding-left: 6px;">A</span><span class="mi" id="MathJax-Span-5695" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-5696" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5697" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5698" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-5699" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5700" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5701" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5702" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5703" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-305">act_1 = \rho(a_1) \in Activities</script>.
+<li>[WF] <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-300-Frame" class="MathJax"><nobr><span id="MathJax-Span-5622" class="math"><span style="display: inline-block; position: relative; width: 16px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.428em, 1000em, 2.37em, -0.509em); top: -2.044em; left: 0em;"><span id="MathJax-Span-5623" class="mrow"><span id="MathJax-Span-5624" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5625" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-5626" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.757em; vertical-align: -0.223em;"></span></span></nobr></span><script id="MathJax-Element-300" type="math/tex">a_2</script> denotes an activity <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-301-Frame" class="MathJax"><nobr><span id="MathJax-Span-5627" class="math"><span style="display: inline-block; position: relative; width: 173px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.95em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5628" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5629" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5630" class="mi">c</span><span id="MathJax-Span-5631" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5632" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-5633" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-5634" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-5635" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5636" class="mo">(</span><span id="MathJax-Span-5637" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5638" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-5639" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5640" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-5641" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-5642" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5643" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5644" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5645" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5646" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5647" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5648" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5649" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5650" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5651" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.068em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-301" type="math/tex">act_2 = \rho(a_2) \in Activities</script>.
 </li>
-<li>The event <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-306-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5704"><span style="display: inline-block; position: relative; width: 22px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 51.3px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5705"><span class="mi" id="MathJax-Span-5706" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5707" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-5708" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 12.9px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-306">evt</script> has type <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-307-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5709"><span style="display: inline-block; position: relative; width: 35px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5710"><span class="mi" id="MathJax-Span-5711" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-5712" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5713" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5714" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-5715" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 12.8px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-307">start</script>, i.e. <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-308-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5716"><span style="display: inline-block; position: relative; width: 125px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.3px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5717"><span class="mi" id="MathJax-Span-5718" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5719" style="font-family: STIXGeneral-Italic;">y</span><span class="mi" id="MathJax-Span-5720" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-5721" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-5722" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-5723" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5724" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-5725" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-5726" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-5727" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-5728" style="font-family: STIXGeneral-Italic; padding-left: 6px;">s</span><span class="mi" id="MathJax-Span-5729" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5730" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5731" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-5732" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-308">type(evt) = start</script>.
+<li>[WF] <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-302-Frame" class="MathJax"><nobr><span id="MathJax-Span-5652" class="math"><span style="display: inline-block; position: relative; width: 8px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5653" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5654" class="mi">e</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.609em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-302" type="math/tex">e</script> denotes an entity <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-303-Frame" class="MathJax"><nobr><span id="MathJax-Span-5655" class="math"><span style="display: inline-block; position: relative; width: 147px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.95em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5656" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5657" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5658" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5659" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-5660" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-5661" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5662" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5663" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5664" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-5665" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-5666" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5667" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5668" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5669" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5670" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5671" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5672" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5673" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.068em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-303" type="math/tex">ent = \rho(e) \in Entities</script>.
 </li>
-<li>The event happened at the start of <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-309-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5733"><span style="display: inline-block; position: relative; width: 33px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 53.9px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5734"><span class="mi" id="MathJax-Span-5735" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5736" style="font-family: STIXGeneral-Italic;">c</span><span class="msubsup" id="MathJax-Span-5737"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-5738" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-5739" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -3.9px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-309">act_2</script>, that is, <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-310-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5740"><span style="display: inline-block; position: relative; width: 216px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 54.4px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5741"><span class="mo" id="MathJax-Span-5742" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-5743" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5744" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-5745" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-5746" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-5747" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-5748" style="font-family: STIXGeneral-Italic;">c</span><span class="msubsup" id="MathJax-Span-5749"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-5750" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-5751" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-5752" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-5753" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-5754" style="font-family: STIXGeneral-Italic; padding-left: 6px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-5755" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-5756" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5757" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-5758" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5759" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-5760" style="font-family: STIXGeneral-Italic;">A</span><span class="mi" id="MathJax-Span-5761" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-5762" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5763" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5764" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-5765" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5766" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5767" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5768" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5769" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.5px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-310">(evt,act_2)
-  \in EventsActivities</script>, and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-311-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5770"><span style="display: inline-block; position: relative; width: 234px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5771"><span class="mi" id="MathJax-Span-5772" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-5773" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5774" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-5775" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-5776" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-5777" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5778" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-5779" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5780" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5781" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5782" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-5783" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-5784" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-5785" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5786" style="font-family: STIXGeneral-Italic;">c</span><span class="msubsup" id="MathJax-Span-5787"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-5788" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-5789" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-5790" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-5791" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-5792" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-5793" style="font-family: STIXGeneral-Italic; padding-left: 6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5794" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5795" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-5796" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-5797" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-5798" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5799" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-5800" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-5801" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-311">min(lifetime(act_2)) = time(evt)</script>.
+<li>[WF] <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-304-Frame" class="MathJax"><nobr><span id="MathJax-Span-5674" class="math"><span style="display: inline-block; position: relative; width: 16px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.428em, 1000em, 2.37em, -0.509em); top: -2.044em; left: 0em;"><span id="MathJax-Span-5675" class="mrow"><span id="MathJax-Span-5676" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5677" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-5678" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.757em; vertical-align: -0.223em;"></span></span></nobr></span><script id="MathJax-Element-304" type="math/tex">a_1</script> denotes an activity <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-305-Frame" class="MathJax"><nobr><span id="MathJax-Span-5679" class="math"><span style="display: inline-block; position: relative; width: 173px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.95em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5680" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5681" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5682" class="mi">c</span><span id="MathJax-Span-5683" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5684" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-5685" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-5686" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-5687" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5688" class="mo">(</span><span id="MathJax-Span-5689" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5690" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-5691" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5692" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-5693" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-5694" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5695" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5696" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5697" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5698" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5699" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5700" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5701" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5702" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5703" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.068em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-305" type="math/tex">act_1 = \rho(a_1) \in Activities</script>.
 </li>
-<li>TODO: The entity <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-312-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5802"><span style="display: inline-block; position: relative; width: 8px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5803"><span class="mi" id="MathJax-Span-5804" style="font-family: STIXGeneral-Italic;">e</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-312">e</script> was generated by <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-313-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5805"><span style="display: inline-block; position: relative; width: 33px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 53.9px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5806"><span class="mi" id="MathJax-Span-5807" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5808" style="font-family: STIXGeneral-Italic;">c</span><span class="msubsup" id="MathJax-Span-5809"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-5810" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-5811" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -3.9px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-313">act_1</script> and started <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-314-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5812"><span style="display: inline-block; position: relative; width: 33px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 53.9px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5813"><span class="mi" id="MathJax-Span-5814" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5815" style="font-family: STIXGeneral-Italic;">c</span><span class="msubsup" id="MathJax-Span-5816"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-5817" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-5818" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -3.9px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-314">act_2</script>.
-</li><li>The event happened during <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-315-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5819"><span style="display: inline-block; position: relative; width: 33px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 53.9px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5820"><span class="mi" id="MathJax-Span-5821" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5822" style="font-family: STIXGeneral-Italic;">c</span><span class="msubsup" id="MathJax-Span-5823"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-5824" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-5825" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -3.9px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-315">act_1</script>, that is, <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-316-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5826"><span style="display: inline-block; position: relative; width: 216px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 54.4px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5827"><span class="mo" id="MathJax-Span-5828" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-5829" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5830" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-5831" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-5832" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-5833" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-5834" style="font-family: STIXGeneral-Italic;">c</span><span class="msubsup" id="MathJax-Span-5835"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-5836" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-5837" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-5838" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-5839" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-5840" style="font-family: STIXGeneral-Italic; padding-left: 6px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-5841" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-5842" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5843" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-5844" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5845" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-5846" style="font-family: STIXGeneral-Italic;">A</span><span class="mi" id="MathJax-Span-5847" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-5848" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5849" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5850" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-5851" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5852" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5853" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5854" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5855" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.5px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-316">(evt,act_1)
+<li>The event <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-306-Frame" class="MathJax"><nobr><span id="MathJax-Span-5704" class="math"><span style="display: inline-block; position: relative; width: 20px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.763em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5705" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5706" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5707" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5708" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.728em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-306" type="math/tex">evt</script> has type <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-307-Frame" class="MathJax"><nobr><span id="MathJax-Span-5709" class="math"><span style="display: inline-block; position: relative; width: 32px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5710" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5711" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5712" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5713" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5714" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5715" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.723em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-307" type="math/tex">start</script>, i.e. <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-308-Frame" class="MathJax"><nobr><span id="MathJax-Span-5716" class="math"><span style="display: inline-block; position: relative; width: 115px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.951em, -0.488em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5717" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5718" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5719" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5720" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5721" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5722" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5723" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5724" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5725" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5726" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-5727" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-5728" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5729" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5730" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5731" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5732" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.069em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-308" type="math/tex">type(evt) = start</script>.
+</li>
+<li>The event happened at the start of <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-309-Frame" class="MathJax"><nobr><span id="MathJax-Span-5733" class="math"><span style="display: inline-block; position: relative; width: 28px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.895em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5734" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5735" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5736" class="mi">c</span><span id="MathJax-Span-5737" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5738" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-5739" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.223em;"></span></span></nobr></span><script id="MathJax-Element-309" type="math/tex">act_2</script>, that is, <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-310-Frame" class="MathJax"><nobr><span id="MathJax-Span-5740" class="math"><span style="display: inline-block; position: relative; width: 200px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.922em, -0.478em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5741" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-5742" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5743" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5744" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5745" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5746" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-5747" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5748" class="mi">c</span><span id="MathJax-Span-5749" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5750" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-5751" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5752" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-5753" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-5754" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5755" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5756" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5757" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5758" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5759" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5760" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5761" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5762" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5763" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5764" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5765" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5766" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5767" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5768" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5769" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.038em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-310" type="math/tex">(evt,act_2)
+  \in EventsActivities</script>, and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-311-Frame" class="MathJax"><nobr><span id="MathJax-Span-5770" class="math"><span style="display: inline-block; position: relative; width: 214px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.514em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5771" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5772" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5773" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5774" class="mi">n</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5775" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5776" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5777" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5778" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5779" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5780" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5781" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5782" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5783" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5784" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5785" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5786" class="mi">c</span><span id="MathJax-Span-5787" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5788" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-5789" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5790" class="mo">)</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5791" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-5792" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-5793" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5794" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5795" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5796" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5797" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5798" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5799" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5800" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5801" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-311" type="math/tex">min(lifetime(act_2)) = time(evt)</script>.
+</li>
+<li>TODO: The entity <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-312-Frame" class="MathJax"><nobr><span id="MathJax-Span-5802" class="math"><span style="display: inline-block; position: relative; width: 8px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5803" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5804" class="mi">e</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.609em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-312" type="math/tex">e</script> was generated by <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-313-Frame" class="MathJax"><nobr><span id="MathJax-Span-5805" class="math"><span style="display: inline-block; position: relative; width: 28px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.895em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5806" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5807" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5808" class="mi">c</span><span id="MathJax-Span-5809" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5810" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-5811" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.223em;"></span></span></nobr></span><script id="MathJax-Element-313" type="math/tex">act_1</script> and started <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-314-Frame" class="MathJax"><nobr><span id="MathJax-Span-5812" class="math"><span style="display: inline-block; position: relative; width: 28px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.895em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5813" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5814" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5815" class="mi">c</span><span id="MathJax-Span-5816" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5817" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-5818" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.223em;"></span></span></nobr></span><script id="MathJax-Element-314" type="math/tex">act_2</script>.
+</li><li>The event happened during <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-315-Frame" class="MathJax"><nobr><span id="MathJax-Span-5819" class="math"><span style="display: inline-block; position: relative; width: 28px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.895em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5820" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5821" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5822" class="mi">c</span><span id="MathJax-Span-5823" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5824" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-5825" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.223em;"></span></span></nobr></span><script id="MathJax-Element-315" type="math/tex">act_1</script>, that is, <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-316-Frame" class="MathJax"><nobr><span id="MathJax-Span-5826" class="math"><span style="display: inline-block; position: relative; width: 200px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.922em, -0.478em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5827" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-5828" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5829" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5830" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5831" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5832" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-5833" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5834" class="mi">c</span><span id="MathJax-Span-5835" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5836" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-5837" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5838" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-5839" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-5840" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5841" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5842" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5843" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5844" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5845" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5846" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5847" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5848" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5849" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5850" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5851" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5852" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5853" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5854" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5855" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.038em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-316" type="math/tex">(evt,act_1)
   \in EventsActivities</script>.
 </li>
-<li>The attributes match: <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-317-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5856"><span style="display: inline-block; position: relative; width: 149px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 54.4px -8.8px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5857"><span class="mi" id="MathJax-Span-5858" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-5859" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5860" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5861" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-5862" style="font-family: STIXGeneral-Italic;">h</span><span class="mo" id="MathJax-Span-5863" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-5864" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-5865" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-5866" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mi" id="MathJax-Span-5867" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-5868" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-5869" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-5870" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-5871" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5872" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5873" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-5874" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-5875" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.6px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-317">match(W,evt,attrs)</script>.
+<li>The attributes match: <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-317-Frame" class="MathJax"><nobr><span id="MathJax-Span-5856" class="math"><span style="display: inline-block; position: relative; width: 136px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.922em, -0.514em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5857" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5858" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5859" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5860" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5861" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5862" class="mi">h</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5863" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5864" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5865" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-5866" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5867" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5868" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5869" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-5870" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5871" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5872" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5873" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5874" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5875" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.045em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-317" type="math/tex">match(W,evt,attrs)</script>.
 </li></ol></div>
 </section>
 <section id="end">
 <h4><span class="secno">4.4.6 </span> End </h4>
 
-<p>An activity end formula <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-318-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5876"><span style="display: inline-block; position: relative; width: 241px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5877"><span class="mi" id="MathJax-Span-5878" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-5879" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5880" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-5881" style="font-family: STIXGeneral-Italic;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-5882" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-5883" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-5884" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5885" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-5886" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-5887" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-5888" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-5889" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5890" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-5891" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-5892" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-5893" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-5894" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-5895" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-5896" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-5897" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-5898" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-5899" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-5900" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-5901" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-5902" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-5903" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5904" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5905" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-5906" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-5907" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-318">wasEndedBy(id,a_2,e,a_1,attrs)</script> is interpreted as follows:</p>
-
-<div class="formalism" id="rule_20" data-count="20" data-title="Formalism 20 (rule_20)"><div class="ruleTitle"><a class="internalDFN" href="#rule_20">Formalism 20 (rule_20)</a></div>
+<p>An activity end formula <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-318-Frame" class="MathJax"><nobr><span id="MathJax-Span-5876" class="math"><span style="display: inline-block; position: relative; width: 217px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.511em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5877" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5878" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5879" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5880" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5881" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5882" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5883" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5884" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5885" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5886" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5887" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5888" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5889" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5890" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5891" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-5892" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5893" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-5894" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5895" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-5896" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5897" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-5898" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5899" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-5900" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5901" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-5902" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5903" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5904" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5905" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5906" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5907" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-318" type="math/tex">wasEndedBy(id,a_2,e,a_1,attrs)</script> is interpreted as follows:</p>
+
+<div data-title="Formalism 20 (rule_20)" data-count="20" id="rule_20" class="formalism"><div class="ruleTitle"><a href="#rule_20" class="internalDFN">Formalism 20 (rule_20)</a></div>
 <p>
-  <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-319-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5908"><span style="display: inline-block; position: relative; width: 301px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5909"><span class="mi" id="MathJax-Span-5910" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-5911" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-5912" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-5913" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-5914" style="font-family: STIXGeneral-Italic; padding-left: 6px;">w</span><span class="mi" id="MathJax-Span-5915" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5916" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-5917" style="font-family: STIXGeneral-Italic;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-5918" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-5919" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-5920" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5921" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-5922" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-5923" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-5924" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-5925" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5926" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-5927" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-5928" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-5929" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-5930" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-5931" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-5932" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-5933" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-5934" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-5935" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-5936" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-5937" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-5938" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-5939" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5940" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5941" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-5942" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-5943" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-319">W,\rho \models wasEndedBy(id,a_2,e,a_1,attrs)</script> holds if and only
+  <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-319-Frame" class="MathJax"><nobr><span id="MathJax-Span-5908" class="math"><span style="display: inline-block; position: relative; width: 271px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5909" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5910" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5911" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-5912" class="mi">ρ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-5913" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-5914" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5915" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5916" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5917" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5918" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5919" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5920" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5921" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5922" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5923" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5924" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5925" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5926" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5927" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-5928" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5929" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-5930" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5931" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-5932" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5933" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-5934" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5935" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-5936" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5937" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-5938" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5939" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5940" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5941" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5942" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5943" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-319" type="math/tex">W,\rho \models wasEndedBy(id,a_2,e,a_1,attrs)</script> holds if and only
   if:</p>
   
 <ol>
-  <li>[WF] <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-320-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5944"><span style="display: inline-block; position: relative; width: 16px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5945"><span class="mi" id="MathJax-Span-5946" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5947" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-320">id</script> denotes an event <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-321-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5948"><span style="display: inline-block; position: relative; width: 158px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5949"><span class="mi" id="MathJax-Span-5950" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5951" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-5952" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-5953" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-5954" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-5955" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-5956" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5957" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-5958" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-5959" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-5960" style="font-family: STIXGeneral-Italic; padding-left: 6px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-5961" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-5962" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5963" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-5964" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5965" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-321">evt = \rho(id) \in Events</script>.</li>
-<li> [WF] <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-322-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5966"><span style="display: inline-block; position: relative; width: 19px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(29.5px 19360px 46.9px -8.7px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-5967"><span class="msubsup" id="MathJax-Span-5968"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-5969" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-5970" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 13.4px; vertical-align: -3.9px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-322">a_2</script> denotes an activity <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-323-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5971"><span style="display: inline-block; position: relative; width: 190px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5972"><span class="mi" id="MathJax-Span-5973" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-5974" style="font-family: STIXGeneral-Italic;">c</span><span class="msubsup" id="MathJax-Span-5975"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-5976" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-5977" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-5978" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-5979" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-5980" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-5981"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-5982" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-5983" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-5984" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-5985" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-5986" style="font-family: STIXGeneral-Italic; padding-left: 6px;">A</span><span class="mi" id="MathJax-Span-5987" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-5988" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5989" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5990" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-5991" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5992" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-5993" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-5994" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-5995" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-323">act_2 = \rho(a_2)\in Activities</script>.</li>
-<li> [WF] <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-324-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5996"><span style="display: inline-block; position: relative; width: 8px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-5997"><span class="mi" id="MathJax-Span-5998" style="font-family: STIXGeneral-Italic;">e</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-324">e</script> denotes an entity <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-325-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-5999"><span style="display: inline-block; position: relative; width: 160px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6000"><span class="mi" id="MathJax-Span-6001" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6002" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-6003" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-6004" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-6005" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-6006" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-6007" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-6008" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-6009" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-6010" style="font-family: STIXGeneral-Italic; padding-left: 6px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-6011" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-6012" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6013" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6014" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6015" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6016" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6017" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-325">ent = \rho(e)\in Entities</script>.</li>
-<li>[WF] <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-326-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6018"><span style="display: inline-block; position: relative; width: 19px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(29.5px 19360px 46.9px -8.7px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-6019"><span class="msubsup" id="MathJax-Span-6020"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-6021" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-6022" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 13.4px; vertical-align: -3.9px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-326">a_1</script> denotes an activity <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-327-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6023"><span style="display: inline-block; position: relative; width: 190px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6024"><span class="mi" id="MathJax-Span-6025" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-6026" style="font-family: STIXGeneral-Italic;">c</span><span class="msubsup" id="MathJax-Span-6027"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-6028" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-6029" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-6030" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-6031" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-6032" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-6033"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-6034" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-6035" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-6036" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-6037" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-6038" style="font-family: STIXGeneral-Italic; padding-left: 6px;">A</span><span class="mi" id="MathJax-Span-6039" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-6040" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6041" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6042" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-6043" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6044" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6045" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6046" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6047" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-327">act_1 = \rho(a_1)\in Activities</script>.</li>
-<li>The event <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-328-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6048"><span style="display: inline-block; position: relative; width: 22px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 51.3px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6049"><span class="mi" id="MathJax-Span-6050" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6051" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-6052" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 12.9px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-328">evt</script> has type <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-329-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6053"><span style="display: inline-block; position: relative; width: 29px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6054"><span class="mi" id="MathJax-Span-6055" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6056" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-6057" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-329">end</script>, i.e. <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-330-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6058"><span style="display: inline-block; position: relative; width: 119px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.3px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6059"><span class="mi" id="MathJax-Span-6060" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6061" style="font-family: STIXGeneral-Italic;">y</span><span class="mi" id="MathJax-Span-6062" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-6063" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-6064" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-6065" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6066" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-6067" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-6068" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-6069" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-6070" style="font-family: STIXGeneral-Italic; padding-left: 6px;">e</span><span class="mi" id="MathJax-Span-6071" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-6072" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-330">type(evt) = end</script>.</li>
-<li>The event happened at the end of <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-331-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6073"><span style="display: inline-block; position: relative; width: 33px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 53.9px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6074"><span class="mi" id="MathJax-Span-6075" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-6076" style="font-family: STIXGeneral-Italic;">c</span><span class="msubsup" id="MathJax-Span-6077"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-6078" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-6079" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -3.9px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-331">act_2</script>, that is, <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-332-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6080"><span style="display: inline-block; position: relative; width: 216px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 54.4px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6081"><span class="mo" id="MathJax-Span-6082" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-6083" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6084" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-6085" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-6086" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-6087" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-6088" style="font-family: STIXGeneral-Italic;">c</span><span class="msubsup" id="MathJax-Span-6089"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-6090" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-6091" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-6092" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-6093" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-6094" style="font-family: STIXGeneral-Italic; padding-left: 6px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-6095" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-6096" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6097" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-6098" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6099" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-6100" style="font-family: STIXGeneral-Italic;">A</span><span class="mi" id="MathJax-Span-6101" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-6102" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6103" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6104" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-6105" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6106" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6107" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6108" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6109" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.5px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-332">(evt,act_2)
-  \in EventsActivities</script>, and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-333-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6110"><span style="display: inline-block; position: relative; width: 237px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6111"><span class="mi" id="MathJax-Span-6112" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-6113" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-6114" style="font-family: STIXGeneral-Italic;">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.1px;"></span></span><span class="mo" id="MathJax-Span-6115" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-6116" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-6117" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6118" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-6119" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6120" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6121" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6122" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-6123" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-6124" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-6125" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-6126" style="font-family: STIXGeneral-Italic;">c</span><span class="msubsup" id="MathJax-Span-6127"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-6128" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-6129" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-6130" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-6131" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-6132" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-6133" style="font-family: STIXGeneral-Italic; padding-left: 6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6134" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6135" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-6136" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-6137" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-6138" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6139" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-6140" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-6141" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-333">max(lifetime(act_2)) = time(evt)</script>.</li>
-  <li>TODO: The entity <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-334-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6142"><span style="display: inline-block; position: relative; width: 8px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6143"><span class="mi" id="MathJax-Span-6144" style="font-family: STIXGeneral-Italic;">e</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-334">e</script> was generated by <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-335-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6145"><span style="display: inline-block; position: relative; width: 33px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 53.9px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6146"><span class="mi" id="MathJax-Span-6147" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-6148" style="font-family: STIXGeneral-Italic;">c</span><span class="msubsup" id="MathJax-Span-6149"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-6150" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-6151" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -3.9px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-335">act_1</script> and ended <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-336-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6152"><span style="display: inline-block; position: relative; width: 33px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 53.9px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6153"><span class="mi" id="MathJax-Span-6154" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-6155" style="font-family: STIXGeneral-Italic;">c</span><span class="msubsup" id="MathJax-Span-6156"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-6157" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-6158" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -3.9px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-336">act_2</script>.</li>
-
-<li>The event happened during <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-337-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6159"><span style="display: inline-block; position: relative; width: 33px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 53.9px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6160"><span class="mi" id="MathJax-Span-6161" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-6162" style="font-family: STIXGeneral-Italic;">c</span><span class="msubsup" id="MathJax-Span-6163"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-6164" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-6165" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -3.9px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-337">act_1</script>, that is, $(evt,act_1) \in EventActivities.</li>
-<li>The attributes match: <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-338-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6166"><span style="display: inline-block; position: relative; width: 149px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 54.4px -8.8px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6167"><span class="mi" id="MathJax-Span-6168" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-6169" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-6170" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6171" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-6172" style="font-family: STIXGeneral-Italic;">h</span><span class="mo" id="MathJax-Span-6173" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-6174" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-6175" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-6176" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mi" id="MathJax-Span-6177" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-6178" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-6179" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-6180" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-6181" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6182" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6183" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-6184" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-6185" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.6px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-338">match(W,evt,attrs)</script>.</li>
+  <li>[WF] <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-320-Frame" class="MathJax"><nobr><span id="MathJax-Span-5944" class="math"><span style="display: inline-block; position: relative; width: 14px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.477em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5945" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5946" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5947" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-320" type="math/tex">id</script> denotes an event <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-321-Frame" class="MathJax"><nobr><span id="MathJax-Span-5948" class="math"><span style="display: inline-block; position: relative; width: 145px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5949" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5950" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5951" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5952" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-5953" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-5954" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5955" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5956" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5957" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5958" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-5959" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-5960" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5961" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5962" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5963" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5964" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5965" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.075em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-321" type="math/tex">evt = \rho(id) \in Events</script>.</li>
+<li> [WF] <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-322-Frame" class="MathJax"><nobr><span id="MathJax-Span-5966" class="math"><span style="display: inline-block; position: relative; width: 16px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.428em, 1000em, 2.37em, -0.509em); top: -2.044em; left: 0em;"><span id="MathJax-Span-5967" class="mrow"><span id="MathJax-Span-5968" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5969" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-5970" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.757em; vertical-align: -0.223em;"></span></span></nobr></span><script id="MathJax-Element-322" type="math/tex">a_2</script> denotes an activity <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-323-Frame" class="MathJax"><nobr><span id="MathJax-Span-5971" class="math"><span style="display: inline-block; position: relative; width: 173px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.95em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5972" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5973" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5974" class="mi">c</span><span id="MathJax-Span-5975" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5976" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-5977" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-5978" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-5979" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-5980" class="mo">(</span><span id="MathJax-Span-5981" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5982" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-5983" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-5984" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-5985" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-5986" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5987" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5988" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5989" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5990" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5991" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5992" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5993" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5994" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5995" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.068em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-323" type="math/tex">act_2 = \rho(a_2)\in Activities</script>.</li>
+<li> [WF] <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-324-Frame" class="MathJax"><nobr><span id="MathJax-Span-5996" class="math"><span style="display: inline-block; position: relative; width: 8px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-5997" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-5998" class="mi">e</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.609em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-324" type="math/tex">e</script> denotes an entity <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-325-Frame" class="MathJax"><nobr><span id="MathJax-Span-5999" class="math"><span style="display: inline-block; position: relative; width: 147px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.95em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6000" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6001" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6002" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6003" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-6004" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-6005" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6006" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6007" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6008" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-6009" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-6010" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6011" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6012" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6013" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6014" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6015" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6016" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6017" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.068em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-325" type="math/tex">ent = \rho(e)\in Entities</script>.</li>
+<li>[WF] <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-326-Frame" class="MathJax"><nobr><span id="MathJax-Span-6018" class="math"><span style="display: inline-block; position: relative; width: 16px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.428em, 1000em, 2.37em, -0.509em); top: -2.044em; left: 0em;"><span id="MathJax-Span-6019" class="mrow"><span id="MathJax-Span-6020" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6021" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-6022" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.757em; vertical-align: -0.223em;"></span></span></nobr></span><script id="MathJax-Element-326" type="math/tex">a_1</script> denotes an activity <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-327-Frame" class="MathJax"><nobr><span id="MathJax-Span-6023" class="math"><span style="display: inline-block; position: relative; width: 173px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.95em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6024" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6025" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6026" class="mi">c</span><span id="MathJax-Span-6027" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6028" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-6029" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-6030" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-6031" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6032" class="mo">(</span><span id="MathJax-Span-6033" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6034" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-6035" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6036" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-6037" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-6038" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6039" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6040" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6041" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6042" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6043" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6044" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6045" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6046" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6047" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.068em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-327" type="math/tex">act_1 = \rho(a_1)\in Activities</script>.</li>
+<li>The event <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-328-Frame" class="MathJax"><nobr><span id="MathJax-Span-6048" class="math"><span style="display: inline-block; position: relative; width: 20px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.763em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6049" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6050" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6051" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6052" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.728em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-328" type="math/tex">evt</script> has type <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-329-Frame" class="MathJax"><nobr><span id="MathJax-Span-6053" class="math"><span style="display: inline-block; position: relative; width: 25px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6054" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6055" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6056" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6057" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-329" type="math/tex">end</script>, i.e. <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-330-Frame" class="MathJax"><nobr><span id="MathJax-Span-6058" class="math"><span style="display: inline-block; position: relative; width: 108px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.488em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6059" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6060" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6061" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6062" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6063" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6064" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6065" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6066" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6067" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6068" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-6069" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-6070" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6071" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6072" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-330" type="math/tex">type(evt) = end</script>.</li>
+<li>The event happened at the end of <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-331-Frame" class="MathJax"><nobr><span id="MathJax-Span-6073" class="math"><span style="display: inline-block; position: relative; width: 28px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.895em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6074" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6075" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6076" class="mi">c</span><span id="MathJax-Span-6077" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6078" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-6079" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.223em;"></span></span></nobr></span><script id="MathJax-Element-331" type="math/tex">act_2</script>, that is, <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-332-Frame" class="MathJax"><nobr><span id="MathJax-Span-6080" class="math"><span style="display: inline-block; position: relative; width: 200px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.922em, -0.478em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6081" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-6082" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6083" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6084" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6085" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6086" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-6087" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6088" class="mi">c</span><span id="MathJax-Span-6089" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6090" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-6091" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6092" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-6093" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-6094" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6095" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6096" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6097" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6098" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6099" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6100" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6101" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6102" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6103" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6104" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6105" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6106" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6107" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6108" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6109" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.038em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-332" type="math/tex">(evt,act_2)
+  \in EventsActivities</script>, and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-333-Frame" class="MathJax"><nobr><span id="MathJax-Span-6110" class="math"><span style="display: inline-block; position: relative; width: 217px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.514em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6111" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6112" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6113" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6114" class="mi">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6115" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6116" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6117" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6118" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6119" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6120" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6121" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6122" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6123" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6124" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6125" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6126" class="mi">c</span><span id="MathJax-Span-6127" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6128" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-6129" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6130" class="mo">)</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6131" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-6132" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-6133" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6134" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6135" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6136" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6137" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6138" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6139" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6140" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6141" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-333" type="math/tex">max(lifetime(act_2)) = time(evt)</script>.</li>
+  <li>TODO: The entity <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-334-Frame" class="MathJax"><nobr><span id="MathJax-Span-6142" class="math"><span style="display: inline-block; position: relative; width: 8px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6143" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6144" class="mi">e</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.609em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-334" type="math/tex">e</script> was generated by <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-335-Frame" class="MathJax"><nobr><span id="MathJax-Span-6145" class="math"><span style="display: inline-block; position: relative; width: 28px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.895em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6146" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6147" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6148" class="mi">c</span><span id="MathJax-Span-6149" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6150" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-6151" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.223em;"></span></span></nobr></span><script id="MathJax-Element-335" type="math/tex">act_1</script> and ended <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-336-Frame" class="MathJax"><nobr><span id="MathJax-Span-6152" class="math"><span style="display: inline-block; position: relative; width: 28px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.895em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6153" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6154" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6155" class="mi">c</span><span id="MathJax-Span-6156" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6157" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-6158" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.223em;"></span></span></nobr></span><script id="MathJax-Element-336" type="math/tex">act_2</script>.</li>
+
+<li>The event happened during <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-337-Frame" class="MathJax"><nobr><span id="MathJax-Span-6159" class="math"><span style="display: inline-block; position: relative; width: 28px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.895em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6160" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6161" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6162" class="mi">c</span><span id="MathJax-Span-6163" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6164" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-6165" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.223em;"></span></span></nobr></span><script id="MathJax-Element-337" type="math/tex">act_1</script>, that is, $(evt,act_1) \in EventActivities.</li>
+<li>The attributes match: <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-338-Frame" class="MathJax"><nobr><span id="MathJax-Span-6166" class="math"><span style="display: inline-block; position: relative; width: 136px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.922em, -0.514em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6167" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6168" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6169" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6170" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6171" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6172" class="mi">h</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6173" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6174" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6175" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-6176" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6177" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6178" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6179" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-6180" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6181" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6182" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6183" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6184" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6185" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.045em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-338" type="math/tex">match(W,evt,attrs)</script>.</li>
 </ol>
 </div>
 </section>
@@ -1842,23 +1842,23 @@
 <h4><span class="secno">4.4.7 </span> Attribution </h4>
 
 <p>
-An attribution formula <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-339-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6186"><span style="display: inline-block; position: relative; width: 246px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6187"><span class="mi" id="MathJax-Span-6188" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-6189" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-6190" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-6191" style="font-family: STIXGeneral-Italic;">A</span><span class="mi" id="MathJax-Span-6192" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6193" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6194" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-6195" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6196" style="font-family: STIXGeneral-Italic;">b</span><span class="mi" id="MathJax-Span-6197" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-6198" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6199" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6200" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-6201" style="font-family: STIXGeneral-Italic;">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.5px;"></span></span><span class="mi" id="MathJax-Span-6202" style="font-family: STIXGeneral-Italic;">o</span><span class="mo" id="MathJax-Span-6203" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-6204" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6205" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-6206" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-6207" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-6208" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-6209" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-6210" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-6211" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-6212" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-6213" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6214" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6215" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-6216" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-6217" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-339">wasAttributedTo(id,e,ag,attrs)</script> is interpreted as follows:
+An attribution formula <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-339-Frame" class="MathJax"><nobr><span id="MathJax-Span-6186" class="math"><span style="display: inline-block; position: relative; width: 222px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.511em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6187" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6188" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6189" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6190" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6191" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6192" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6193" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6194" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6195" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6196" class="mi">b</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6197" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6198" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6199" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6200" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6201" class="mi">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.077em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6202" class="mi">o</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6203" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6204" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6205" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6206" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-6207" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6208" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-6209" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6210" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6211" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-6212" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6213" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6214" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6215" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6216" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6217" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-339" type="math/tex">wasAttributedTo(id,e,ag,attrs)</script> is interpreted as follows:
 </p>
-<div class="formalism" id="rule_21" data-count="21" data-title="Formalism 21 (rule_21)"><div class="ruleTitle"><a class="internalDFN" href="#rule_21">Formalism 21 (rule_21)</a></div>
+<div data-title="Formalism 21 (rule_21)" data-count="21" id="rule_21" class="formalism"><div class="ruleTitle"><a href="#rule_21" class="internalDFN">Formalism 21 (rule_21)</a></div>
   <p>
-  <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-340-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6218"><span style="display: inline-block; position: relative; width: 306px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6219"><span class="mi" id="MathJax-Span-6220" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-6221" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-6222" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-6223" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-6224" style="font-family: STIXGeneral-Italic; padding-left: 6px;">w</span><span class="mi" id="MathJax-Span-6225" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-6226" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-6227" style="font-family: STIXGeneral-Italic;">A</span><span class="mi" id="MathJax-Span-6228" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6229" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6230" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-6231" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6232" style="font-family: STIXGeneral-Italic;">b</span><span class="mi" id="MathJax-Span-6233" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-6234" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6235" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6236" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-6237" style="font-family: STIXGeneral-Italic;">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.5px;"></span></span><span class="mi" id="MathJax-Span-6238" style="font-family: STIXGeneral-Italic;">o</span><span class="mo" id="MathJax-Span-6239" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-6240" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6241" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-6242" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-6243" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-6244" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-6245" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-6246" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-6247" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-6248" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-6249" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6250" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6251" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-6252" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-6253" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-340">W,\rho \models wasAttributedTo(id,e,ag,attrs)</script>
+  <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-340-Frame" class="MathJax"><nobr><span id="MathJax-Span-6218" class="math"><span style="display: inline-block; position: relative; width: 276px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6219" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6220" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6221" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-6222" class="mi">ρ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-6223" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-6224" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6225" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6226" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6227" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6228" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6229" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6230" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6231" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6232" class="mi">b</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6233" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6234" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6235" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6236" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6237" class="mi">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.077em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6238" class="mi">o</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6239" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6240" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6241" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6242" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-6243" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6244" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-6245" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6246" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6247" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-6248" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6249" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6250" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6251" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6252" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6253" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-340" type="math/tex">W,\rho \models wasAttributedTo(id,e,ag,attrs)</script>
   holds if and only if:
   </p>
 <ol>
-<li>[WF] <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-341-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6254"><span style="display: inline-block; position: relative; width: 16px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6255"><span class="mi" id="MathJax-Span-6256" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6257" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-341">id</script> denotes an association <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-342-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6258"><span style="display: inline-block; position: relative; width: 224px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6259"><span class="mi" id="MathJax-Span-6260" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-6261" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-6262" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-6263" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-6264" style="font-family: STIXGeneral-Italic;">c</span><span class="mo" id="MathJax-Span-6265" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-6266" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-6267" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-6268" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6269" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-6270" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-6271" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-6272" style="font-family: STIXGeneral-Italic; padding-left: 6px;">A</span><span class="mi" id="MathJax-Span-6273" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-6274" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-6275" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-6276" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-6277" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6278" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-6279" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6280" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6281" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-6282" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-6283" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-342">assoc = \rho(id) \in Associations</script>.
-</li>
-<li>[WF] <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-343-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6284"><span style="display: inline-block; position: relative; width: 8px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6285"><span class="mi" id="MathJax-Span-6286" style="font-family: STIXGeneral-Italic;">e</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-343">e</script> denotes an entity <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-344-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6287"><span style="display: inline-block; position: relative; width: 160px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6288"><span class="mi" id="MathJax-Span-6289" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6290" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-6291" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-6292" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-6293" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-6294" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-6295" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-6296" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-6297" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-6298" style="font-family: STIXGeneral-Italic; padding-left: 6px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-6299" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-6300" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6301" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6302" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6303" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6304" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6305" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-344">ent = \rho(e) \in Entities</script>.
+<li>[WF] <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-341-Frame" class="MathJax"><nobr><span id="MathJax-Span-6254" class="math"><span style="display: inline-block; position: relative; width: 14px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.477em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6255" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6256" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6257" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-341" type="math/tex">id</script> denotes an association <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-342-Frame" class="MathJax"><nobr><span id="MathJax-Span-6258" class="math"><span style="display: inline-block; position: relative; width: 203px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6259" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6260" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6261" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6262" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6263" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6264" class="mi">c</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-6265" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-6266" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6267" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6268" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6269" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6270" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-6271" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-6272" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6273" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6274" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6275" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6276" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6277" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6278" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6279" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6280" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6281" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6282" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6283" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.075em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-342" type="math/tex">assoc = \rho(id) \in Associations</script>.
 </li>
-<li>[WF] <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-345-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6306"><span style="display: inline-block; position: relative; width: 20px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6307"><span class="mi" id="MathJax-Span-6308" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-6309" style="font-family: STIXGeneral-Italic;">g</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 14.5px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-345">ag</script> denotes an agent <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-346-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6310"><span style="display: inline-block; position: relative; width: 186px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6311"><span class="mi" id="MathJax-Span-6312" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-6313" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-6314" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6315" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-6316" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-6317" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-6318" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-6319" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-6320" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-6321" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-6322" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-6323" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-6324" style="font-family: STIXGeneral-Italic; padding-left: 6px;">A</span><span class="mi" id="MathJax-Span-6325" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-6326" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6327" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-6328" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6329" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-346">agent = \rho(ag) \in Agents</script>.
+<li>[WF] <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-343-Frame" class="MathJax"><nobr><span id="MathJax-Span-6284" class="math"><span style="display: inline-block; position: relative; width: 8px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6285" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6286" class="mi">e</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.609em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-343" type="math/tex">e</script> denotes an entity <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-344-Frame" class="MathJax"><nobr><span id="MathJax-Span-6287" class="math"><span style="display: inline-block; position: relative; width: 147px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.95em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6288" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6289" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6290" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6291" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-6292" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-6293" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6294" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6295" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6296" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-6297" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-6298" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6299" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6300" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6301" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6302" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6303" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6304" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6305" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.068em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-344" type="math/tex">ent = \rho(e) \in Entities</script>.
 </li>
-<li>The entity was attributed to the agent, i.e. <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-347-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6330"><span style="display: inline-block; position: relative; width: 261px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6331"><span class="mo" id="MathJax-Span-6332" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-6333" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-6334" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-6335" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-6336" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-6337" style="font-family: STIXGeneral-Italic;">c</span><span class="mo" id="MathJax-Span-6338" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-6339" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mi" id="MathJax-Span-6340" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-6341" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-6342" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-6343" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-6344" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-6345" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6346" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-6347" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-6348" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-6349" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-6350" style="font-family: STIXGeneral-Italic; padding-left: 6px;">A</span><span class="mi" id="MathJax-Span-6351" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6352" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6353" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-6354" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6355" style="font-family: STIXGeneral-Italic;">b</span><span class="mi" id="MathJax-Span-6356" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-6357" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6358" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6359" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-6360" style="font-family: STIXGeneral-Italic;">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.5px;"></span></span><span class="mi" id="MathJax-Span-6361" style="font-family: STIXGeneral-Italic;">o</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-347">(assoc,ent,agent) \in AttributedTo</script>.
+<li>[WF] <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-345-Frame" class="MathJax"><nobr><span id="MathJax-Span-6306" class="math"><span style="display: inline-block; position: relative; width: 17px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.951em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6307" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6308" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6309" class="mi">g</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.817em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-345" type="math/tex">ag</script> denotes an agent <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-346-Frame" class="MathJax"><nobr><span id="MathJax-Span-6310" class="math"><span style="display: inline-block; position: relative; width: 165px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.951em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6311" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6312" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6313" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6314" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6315" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6316" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-6317" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-6318" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6319" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6320" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6321" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6322" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-6323" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-6324" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6325" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6326" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6327" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6328" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6329" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.069em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-346" type="math/tex">agent = \rho(ag) \in Agents</script>.
 </li>
-<li>The attributes match: <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-348-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6362"><span style="display: inline-block; position: relative; width: 149px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 54.4px -8.8px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6363"><span class="mi" id="MathJax-Span-6364" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-6365" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-6366" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6367" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-6368" style="font-family: STIXGeneral-Italic;">h</span><span class="mo" id="MathJax-Span-6369" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-6370" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-6371" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-6372" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mi" id="MathJax-Span-6373" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-6374" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-6375" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-6376" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-6377" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6378" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6379" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-6380" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-6381" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.6px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-348">match(W,evt,attrs)</script>.
+<li>The entity was attributed to the agent, i.e. <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-347-Frame" class="MathJax"><nobr><span id="MathJax-Span-6330" class="math"><span style="display: inline-block; position: relative; width: 236px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.478em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6331" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-6332" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6333" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6334" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6335" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6336" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6337" class="mi">c</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6338" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-6339" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6340" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6341" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6342" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-6343" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6344" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6345" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6346" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6347" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6348" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-6349" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-6350" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6351" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6352" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6353" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6354" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6355" class="mi">b</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6356" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6357" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6358" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6359" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6360" class="mi">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.077em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6361" class="mi">o</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-347" type="math/tex">(assoc,ent,agent) \in AttributedTo</script>.
+</li>
+<li>The attributes match: <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-348-Frame" class="MathJax"><nobr><span id="MathJax-Span-6362" class="math"><span style="display: inline-block; position: relative; width: 136px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.922em, -0.514em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6363" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6364" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6365" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6366" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6367" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6368" class="mi">h</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6369" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6370" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6371" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-6372" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6373" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6374" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6375" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-6376" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6377" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6378" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6379" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6380" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6381" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.045em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-348" type="math/tex">match(W,evt,attrs)</script>.
 </li></ol>
 </div>
 </section>
@@ -1874,21 +1874,21 @@
 
 <h4><span class="secno">4.4.9 </span> Responsibility </h4>
 
-<p>The <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-349-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6382"><span style="display: inline-block; position: relative; width: 316px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55.7px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6383"><span class="mi" id="MathJax-Span-6384" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-6385" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-6386" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6387" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6388" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-6389" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-6390" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-6391" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-6392" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6393" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-6394" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-6395" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-6396" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-6397" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-6398" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-6399" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-6400" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6401" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-6402" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-6403" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="msubsup" id="MathJax-Span-6404"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-6405" style="font-family: STIXGeneral-Italic;">g</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 10px;"><span class="mn" id="MathJax-Span-6406" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-6407" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-6408" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="msubsup" id="MathJax-Span-6409"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-6410" style="font-family: STIXGeneral-Italic;">g</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 10px;"><span class="mn" id="MathJax-Span-6411" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-6412" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-6413" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-6414" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-6415" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-6416" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-6417" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-6418" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6419" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6420" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-6421" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-6422" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.9px; vertical-align: -5.7px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-349">actedOnBehalfOf(id,ag_2,ag_1,act,attrs)</script> relation is interpreted using the <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-350-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6423"><span style="display: inline-block; position: relative; width: 63px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.1px 19360px 51.3px -10px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6424"><span class="mi" id="MathJax-Span-6425" style="font-family: STIXGeneral-Italic;">A</span><span class="mi" id="MathJax-Span-6426" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-6427" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6428" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-6429" style="font-family: STIXGeneral-Italic;">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.7px;"></span></span><span class="mi" id="MathJax-Span-6430" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-6431" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.2px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-350">ActsFor</script> relation as follows:</p>
-
-<div class="formalism" id="rule_22" data-count="22" data-title="Formalism 22 (rule_22)"><div class="ruleTitle"><a class="internalDFN" href="#rule_22">Formalism 22 (rule_22)</a></div>
+<p>The <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-349-Frame" class="MathJax"><nobr><span id="MathJax-Span-6382" class="math"><span style="display: inline-block; position: relative; width: 284px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.987em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6383" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6384" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6385" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6386" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6387" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6388" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6389" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6390" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6391" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6392" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6393" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6394" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6395" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6396" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6397" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6398" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6399" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6400" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6401" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6402" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-6403" class="mi">a</span><span id="MathJax-Span-6404" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.951em, -0.518em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6405" class="mi">g</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.861em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-6406" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6407" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-6408" class="mi">a</span><span id="MathJax-Span-6409" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.951em, -0.518em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6410" class="mi">g</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.861em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-6411" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6412" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-6413" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6414" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6415" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6416" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-6417" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6418" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6419" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6420" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6421" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6422" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.114em; vertical-align: -0.321em;"></span></span></nobr></span><script id="MathJax-Element-349" type="math/tex">actedOnBehalfOf(id,ag_2,ag_1,act,attrs)</script> relation is interpreted using the <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-350-Frame" class="MathJax"><nobr><span id="MathJax-Span-6423" class="math"><span style="display: inline-block; position: relative; width: 56px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.727em, 1000em, 2.758em, -0.577em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6424" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6425" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6426" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6427" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6428" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6429" class="mi">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.034em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6430" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6431" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.854em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-350" type="math/tex">ActsFor</script> relation as follows:</p>
+
+<div data-title="Formalism 22 (rule_22)" data-count="22" id="rule_22" class="formalism"><div class="ruleTitle"><a href="#rule_22" class="internalDFN">Formalism 22 (rule_22)</a></div>
   <p>
-  <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-351-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6432"><span style="display: inline-block; position: relative; width: 375px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55.7px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6433"><span class="mi" id="MathJax-Span-6434" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-6435" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-6436" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-6437" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-6438" style="font-family: STIXGeneral-Italic; padding-left: 6px;">a</span><span class="mi" id="MathJax-Span-6439" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-6440" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6441" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6442" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-6443" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-6444" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-6445" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-6446" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6447" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-6448" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-6449" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-6450" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-6451" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-6452" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-6453" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-6454" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6455" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-6456" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-6457" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="msubsup" id="MathJax-Span-6458"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-6459" style="font-family: STIXGeneral-Italic;">g</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 10px;"><span class="mn" id="MathJax-Span-6460" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-6461" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-6462" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="msubsup" id="MathJax-Span-6463"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-6464" style="font-family: STIXGeneral-Italic;">g</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 10px;"><span class="mn" id="MathJax-Span-6465" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-6466" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-6467" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-6468" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-6469" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-6470" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-6471" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-6472" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6473" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6474" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-6475" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-6476" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.9px; vertical-align: -5.7px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-351">W,\rho \models actedOnBehalfOf(id,ag_2,ag_1,act,attrs)</script> holds if and only if:</p>
+  <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-351-Frame" class="MathJax"><nobr><span id="MathJax-Span-6432" class="math"><span style="display: inline-block; position: relative; width: 338px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.987em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6433" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6434" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6435" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-6436" class="mi">ρ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-6437" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-6438" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6439" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6440" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6441" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6442" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6443" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6444" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6445" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6446" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6447" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6448" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6449" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6450" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6451" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6452" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6453" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6454" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6455" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6456" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-6457" class="mi">a</span><span id="MathJax-Span-6458" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.951em, -0.518em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6459" class="mi">g</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.861em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-6460" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6461" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-6462" class="mi">a</span><span id="MathJax-Span-6463" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.951em, -0.518em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6464" class="mi">g</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.861em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-6465" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6466" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-6467" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6468" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6469" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6470" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-6471" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6472" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6473" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6474" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6475" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6476" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.114em; vertical-align: -0.321em;"></span></span></nobr></span><script id="MathJax-Element-351" type="math/tex">W,\rho \models actedOnBehalfOf(id,ag_2,ag_1,act,attrs)</script> holds if and only if:</p>
 <ol>
-<li>[WF] <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-352-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6477"><span style="display: inline-block; position: relative; width: 16px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6478"><span class="mi" id="MathJax-Span-6479" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6480" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-352">id</script> denotes an association <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-353-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6481"><span style="display: inline-block; position: relative; width: 220px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6482"><span class="mi" id="MathJax-Span-6483" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-6484" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6485" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-6486" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6487" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-6488" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-6489" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-6490" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-6491" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6492" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-6493" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-6494" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-6495" style="font-family: STIXGeneral-Italic; padding-left: 6px;">D</span><span class="mi" id="MathJax-Span-6496" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6497" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-6498" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6499" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-6500" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-6501" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6502" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6503" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-6504" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-6505" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-353">deleg=\rho(id) \in Delegations</script>.
-</li>
-<li>[WF] <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-354-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6506"><span style="display: inline-block; position: relative; width: 10px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6507"><span class="mi" id="MathJax-Span-6508" style="font-family: STIXGeneral-Italic;">a</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-354">a</script> denotes an activity <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-355-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6509"><span style="display: inline-block; position: relative; width: 172px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6510"><span class="mi" id="MathJax-Span-6511" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-6512" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-6513" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-6514" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-6515" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-6516" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-6517" style="font-family: STIXGeneral-Italic;">a</span><span class="mo" id="MathJax-Span-6518" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-6519" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-6520" style="font-family: STIXGeneral-Italic; padding-left: 6px;">A</span><span class="mi" id="MathJax-Span-6521" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-6522" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6523" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6524" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-6525" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6526" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6527" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6528" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6529" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-355">act=\rho(a) \in Activities</script>.
+<li>[WF] <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-352-Frame" class="MathJax"><nobr><span id="MathJax-Span-6477" class="math"><span style="display: inline-block; position: relative; width: 14px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.477em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6478" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6479" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6480" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-352" type="math/tex">id</script> denotes an association <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-353-Frame" class="MathJax"><nobr><span id="MathJax-Span-6481" class="math"><span style="display: inline-block; position: relative; width: 199px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.511em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6482" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6483" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6484" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6485" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6486" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6487" class="mi">g</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-6488" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-6489" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6490" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6491" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6492" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6493" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-6494" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-6495" class="mi">D</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6496" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6497" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6498" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6499" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6500" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6501" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6502" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6503" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6504" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6505" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-353" type="math/tex">deleg=\rho(id) \in Delegations</script>.
 </li>
-<li>[WF] <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-356-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6530"><span style="display: inline-block; position: relative; width: 65px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 55.7px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6531"><span class="mi" id="MathJax-Span-6532" style="font-family: STIXGeneral-Italic;">a</span><span class="msubsup" id="MathJax-Span-6533"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-6534" style="font-family: STIXGeneral-Italic;">g</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 10px;"><span class="mn" id="MathJax-Span-6535" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-6536" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-6537" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="msubsup" id="MathJax-Span-6538"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-6539" style="font-family: STIXGeneral-Italic;">g</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 10px;"><span class="mn" id="MathJax-Span-6540" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.2px; vertical-align: -5.7px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-356">ag_1,ag_2</script> denote agents <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-357-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6541"><span style="display: inline-block; position: relative; width: 339px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55.7px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6542"><span class="mi" id="MathJax-Span-6543" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-6544" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-6545" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6546" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-6547"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-6548" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-6549" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-6550" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-6551" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-6552" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-6553" style="font-family: STIXGeneral-Italic;">a</span><span class="msubsup" id="MathJax-Span-6554"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-6555" style="font-family: STIXGeneral-Italic;">g</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 10px;"><span class="mn" id="MathJax-Span-6556" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-6557" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-6558" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-6559" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-6560" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-6561" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6562" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-6563"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-6564" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-6565" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-6566" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-6567" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-6568" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-6569" style="font-family: STIXGeneral-Italic;">a</span><span class="msubsup" id="MathJax-Span-6570"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-6571" style="font-family: STIXGeneral-Italic;">g</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 10px;"><span class="mn" id="MathJax-Span-6572" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-6573" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-6574" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-6575" style="font-family: STIXGeneral-Italic; padding-left: 6px;">A</span><span class="mi" id="MathJax-Span-6576" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-6577" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6578" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-6579" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6580" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.8px; vertical-align: -5.7px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-357">agent_1=\rho(ag_1), agent_2=\rho(ag_2) \in Agents</script>.
+<li>[WF] <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-354-Frame" class="MathJax"><nobr><span id="MathJax-Span-6506" class="math"><span style="display: inline-block; position: relative; width: 9px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6507" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6508" class="mi">a</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.609em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-354" type="math/tex">a</script> denotes an activity <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-355-Frame" class="MathJax"><nobr><span id="MathJax-Span-6509" class="math"><span style="display: inline-block; position: relative; width: 159px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.95em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6510" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6511" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6512" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6513" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-6514" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-6515" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6516" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6517" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6518" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-6519" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-6520" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6521" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6522" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6523" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6524" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6525" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6526" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6527" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6528" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6529" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.068em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-355" type="math/tex">act=\rho(a) \in Activities</script>.
 </li>
-<li>The agent <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-358-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6581"><span style="display: inline-block; position: relative; width: 53px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6582"><span class="mi" id="MathJax-Span-6583" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-6584" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-6585" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6586" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-6587"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-6588" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-6589" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 16.6px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-358">agent_2</script> acts for the agent <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-359-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6590"><span style="display: inline-block; position: relative; width: 53px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6591"><span class="mi" id="MathJax-Span-6592" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-6593" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-6594" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6595" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-6596"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-6597" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-6598" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 16.6px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-359">agent_1</script> with respect to the activity <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-360-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6599"><span style="display: inline-block; position: relative; width: 24px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6600"><span class="mi" id="MathJax-Span-6601" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-6602" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-6603" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 12.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-360">act</script>, i.e. <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-361-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6604"><span style="display: inline-block; position: relative; width: 291px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6605"><span class="mo" id="MathJax-Span-6606" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-6607" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-6608" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6609" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-6610" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6611" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-6612" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-6613" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-6614" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-6615" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6616" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-6617"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-6618" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-6619" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-6620" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-6621" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-6622" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-6623" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6624" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-6625"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-6626" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-6627" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-6628" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-6629" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-6630" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-6631" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-6632" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-6633" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-6634" style="font-family: STIXGeneral-Italic; padding-left: 6px;">A</span><span class="mi" id="MathJax-Span-6635" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-6636" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6637" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-6638" style="font-family: STIXGeneral-Italic;">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.7px;"></span></span><span class="mi" id="MathJax-Span-6639" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-6640" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-361">(deleg,agent_2,agent_1,act) \in ActsFor</script>.
+<li>[WF] <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-356-Frame" class="MathJax"><nobr><span id="MathJax-Span-6530" class="math"><span style="display: inline-block; position: relative; width: 57px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.987em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6531" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6532" class="mi">a</span><span id="MathJax-Span-6533" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.951em, -0.518em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6534" class="mi">g</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.861em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-6535" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6536" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-6537" class="mi">a</span><span id="MathJax-Span-6538" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.951em, -0.518em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6539" class="mi">g</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.861em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-6540" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.855em; vertical-align: -0.321em;"></span></span></nobr></span><script id="MathJax-Element-356" type="math/tex">ag_1,ag_2</script> denote agents <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-357-Frame" class="MathJax"><nobr><span id="MathJax-Span-6541" class="math"><span style="display: inline-block; position: relative; width: 299px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.987em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6542" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6543" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6544" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6545" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6546" class="mi">n</span><span id="MathJax-Span-6547" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6548" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-6549" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-6550" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-6551" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6552" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6553" class="mi">a</span><span id="MathJax-Span-6554" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.951em, -0.518em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6555" class="mi">g</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.861em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-6556" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6557" class="mo">)</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6558" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-6559" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6560" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6561" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6562" class="mi">n</span><span id="MathJax-Span-6563" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6564" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-6565" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-6566" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-6567" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6568" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6569" class="mi">a</span><span id="MathJax-Span-6570" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.951em, -0.518em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6571" class="mi">g</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.861em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-6572" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6573" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-6574" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-6575" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6576" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6577" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6578" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6579" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6580" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.107em; vertical-align: -0.321em;"></span></span></nobr></span><script id="MathJax-Element-357" type="math/tex">agent_1=\rho(ag_1), agent_2=\rho(ag_2) \in Agents</script>.
 </li>
-<li>The attributes match: <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-362-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6641"><span style="display: inline-block; position: relative; width: 170px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 54.4px -8.8px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6642"><span class="mi" id="MathJax-Span-6643" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-6644" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-6645" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6646" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-6647" style="font-family: STIXGeneral-Italic;">h</span><span class="mo" id="MathJax-Span-6648" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-6649" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-6650" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-6651" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-6652" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-6653" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-6654" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-6655" style="font-family: STIXGeneral-Italic;">c</span><span class="mo" id="MathJax-Span-6656" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-6657" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-6658" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6659" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6660" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-6661" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-6662" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.6px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-362">match(W,assoc,attrs)</script>.
+<li>The agent <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-358-Frame" class="MathJax"><nobr><span id="MathJax-Span-6581" class="math"><span style="display: inline-block; position: relative; width: 45px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.951em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6582" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6583" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6584" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6585" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6586" class="mi">n</span><span id="MathJax-Span-6587" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6588" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-6589" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.93em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-358" type="math/tex">agent_2</script> acts for the agent <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-359-Frame" class="MathJax"><nobr><span id="MathJax-Span-6590" class="math"><span style="display: inline-block; position: relative; width: 45px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.951em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6591" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6592" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6593" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6594" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6595" class="mi">n</span><span id="MathJax-Span-6596" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6597" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-6598" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.93em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-359" type="math/tex">agent_1</script> with respect to the activity <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-360-Frame" class="MathJax"><nobr><span id="MathJax-Span-6599" class="math"><span style="display: inline-block; position: relative; width: 21px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6600" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6601" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6602" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6603" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.721em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-360" type="math/tex">act</script>, i.e. <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-361-Frame" class="MathJax"><nobr><span id="MathJax-Span-6604" class="math"><span style="display: inline-block; position: relative; width: 261px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.478em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6605" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-6606" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6607" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6608" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6609" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6610" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6611" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6612" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-6613" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6614" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6615" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6616" class="mi">n</span><span id="MathJax-Span-6617" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6618" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-6619" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6620" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-6621" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6622" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6623" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6624" class="mi">n</span><span id="MathJax-Span-6625" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6626" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-6627" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6628" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-6629" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6630" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6631" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6632" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-6633" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-6634" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6635" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6636" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6637" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6638" class="mi">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.034em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6639" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6640" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-361" type="math/tex">(deleg,agent_2,agent_1,act) \in ActsFor</script>.
+</li>
+<li>The attributes match: <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-362-Frame" class="MathJax"><nobr><span id="MathJax-Span-6641" class="math"><span style="display: inline-block; position: relative; width: 154px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.922em, -0.514em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6642" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6643" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6644" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6645" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6646" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6647" class="mi">h</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6648" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6649" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6650" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-6651" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6652" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6653" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6654" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6655" class="mi">c</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6656" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-6657" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6658" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6659" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6660" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6661" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6662" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.045em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-362" type="math/tex">match(W,assoc,attrs)</script>.
 </li></ol></div>
 </section>
 
@@ -1900,25 +1900,25 @@
 <section id="precise">
 <h5><span class="secno">4.4.10.1 </span> Precise </h5>
 
-<p>A precise derivation formula has the form <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-363-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6663"><span style="display: inline-block; position: relative; width: 309px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6664"><span class="mi" id="MathJax-Span-6665" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-6666" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-6667" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-6668" style="font-family: STIXGeneral-Italic;">D</span><span class="mi" id="MathJax-Span-6669" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6670" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-6671" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6672" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-6673" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6674" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-6675" style="font-family: STIXGeneral-Italic;">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.7px;"></span></span><span class="mi" id="MathJax-Span-6676" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-6677" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-6678" style="font-family: STIXGeneral-Italic;">m</span><span class="mo" id="MathJax-Span-6679" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-6680" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6681" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-6682" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-6683" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-6684" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-6685" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-6686" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-6687" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-6688" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-6689" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-6690" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-6691" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-6692" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-6693" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">g</span><span class="mo" id="MathJax-Span-6694" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-6695" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">u</span><span class="mo" id="MathJax-Span-6696" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-6697" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-6698" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6699" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6700" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-6701" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-6702" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-363">wasDerivedFrom(id,e_2,e_1,a,g,u,attrs)</script>.
+<p>A precise derivation formula has the form <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-363-Frame" class="MathJax"><nobr><span id="MathJax-Span-6663" class="math"><span style="display: inline-block; position: relative; width: 280px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.511em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6664" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6665" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6666" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6667" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6668" class="mi">D</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6669" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6670" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6671" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6672" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6673" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6674" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6675" class="mi">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.034em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6676" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6677" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6678" class="mi">m</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6679" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6680" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6681" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6682" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-6683" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6684" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-6685" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6686" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-6687" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6688" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-6689" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6690" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-6691" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6692" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-6693" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6694" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-6695" class="mi">u</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6696" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-6697" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6698" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6699" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6700" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6701" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6702" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-363" type="math/tex">wasDerivedFrom(id,e_2,e_1,a,g,u,attrs)</script>.
 </p>
-<div class="formalism" id="rule_23" data-count="23" data-title="Formalism 23 (rule_23)"><div class="ruleTitle"><a class="internalDFN" href="#rule_23">Formalism 23 (rule_23)</a></div>
-  <p><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-364-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6703"><span style="display: inline-block; position: relative; width: 382px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6704"><span class="mi" id="MathJax-Span-6705" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-6706" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-6707" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-6708" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-6709" style="font-family: STIXGeneral-Italic; padding-left: 6px;">w</span><span class="mi" id="MathJax-Span-6710" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-6711" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-6712" style="font-family: STIXGeneral-Italic;">D</span><span class="mi" id="MathJax-Span-6713" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6714" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-6715" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6716" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-6717" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6718" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-6719" style="font-family: STIXGeneral-Italic;">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.7px;"></span></span><span class="mi" id="MathJax-Span-6720" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-6721" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-6722" style="font-family: STIXGeneral-Italic;">m</span><span class="mo" id="MathJax-Span-6723" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-6724" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6725" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-6726" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-6727" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-6728" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-6729" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-6730" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-6731" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-6732" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-6733" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-6734" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-6735" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-6736" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-6737" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-6738" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-6739" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">g</span><span class="mo" id="MathJax-Span-6740" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-6741" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">u</span><span class="mo" id="MathJax-Span-6742" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-6743" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-6744" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6745" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6746" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-6747" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-6748" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-364">W,\rho \models wasDerivedFrom(id,e_2,e_1,act,g,u,attrs)</script> holds if and only if:</p>
+<div data-title="Formalism 23 (rule_23)" data-count="23" id="rule_23" class="formalism"><div class="ruleTitle"><a href="#rule_23" class="internalDFN">Formalism 23 (rule_23)</a></div>
+  <p><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-364-Frame" class="MathJax"><nobr><span id="MathJax-Span-6703" class="math"><span style="display: inline-block; position: relative; width: 347px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6704" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6705" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6706" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-6707" class="mi">ρ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-6708" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-6709" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6710" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6711" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6712" class="mi">D</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6713" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6714" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6715" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6716" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6717" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6718" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6719" class="mi">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.034em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6720" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6721" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6722" class="mi">m</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6723" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6724" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6725" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6726" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-6727" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6728" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-6729" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6730" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-6731" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6732" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-6733" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6734" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-6735" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6736" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6737" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6738" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-6739" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6740" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-6741" class="mi">u</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6742" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-6743" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6744" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6745" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6746" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6747" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6748" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-364" type="math/tex">W,\rho \models wasDerivedFrom(id,e_2,e_1,act,g,u,attrs)</script> holds if and only if:</p>
 <ol>
-<li>[WF] <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-365-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6749"><span style="display: inline-block; position: relative; width: 16px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6750"><span class="mi" id="MathJax-Span-6751" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6752" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-365">id</script> denotes a derivation <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-366-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6753"><span style="display: inline-block; position: relative; width: 215px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6754"><span class="mi" id="MathJax-Span-6755" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-6756" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6757" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-6758" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6759" style="font-family: STIXGeneral-Italic;">v</span><span class="mo" id="MathJax-Span-6760" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-6761" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-6762" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-6763" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6764" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-6765" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-6766" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-6767" style="font-family: STIXGeneral-Italic; padding-left: 6px;">D</span><span class="mi" id="MathJax-Span-6768" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6769" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-6770" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6771" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-6772" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-6773" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6774" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6775" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-6776" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-6777" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-366">deriv = \rho(id) \in Derivations</script>.
+<li>[WF] <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-365-Frame" class="MathJax"><nobr><span id="MathJax-Span-6749" class="math"><span style="display: inline-block; position: relative; width: 14px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.477em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6750" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6751" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6752" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-365" type="math/tex">id</script> denotes a derivation <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-366-Frame" class="MathJax"><nobr><span id="MathJax-Span-6753" class="math"><span style="display: inline-block; position: relative; width: 196px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.511em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6754" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6755" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6756" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6757" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6758" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6759" class="mi">v</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-6760" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-6761" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6762" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6763" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6764" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6765" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-6766" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-6767" class="mi">D</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6768" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6769" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6770" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6771" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6772" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6773" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6774" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6775" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6776" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6777" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.075em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-366" type="math/tex">deriv = \rho(id) \in Derivations</script>.
 </li>
-<li>[WF] <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-367-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6778"><span style="display: inline-block; position: relative; width: 41px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 53.9px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6779"><span class="msubsup" id="MathJax-Span-6780"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-6781" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-6782" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-6783" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-6784" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-6785" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-6786" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 13.4px; vertical-align: -3.9px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-367">e_1,e_2</script> denote entities <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-368-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6787"><span style="display: inline-block; position: relative; width: 281px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6788"><span class="mi" id="MathJax-Span-6789" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6790" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-6791"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-6792" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-6793" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-6794" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-6795" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-6796" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-6797"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-6798" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-6799" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-6800" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-6801" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-6802" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mi" id="MathJax-Span-6803" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-6804"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-6805" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-6806" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-6807" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-6808" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-6809" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-6810"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-6811" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-6812" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-6813" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-6814" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-6815" style="font-family: STIXGeneral-Italic; padding-left: 6px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-6816" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-6817" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6818" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6819" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6820" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6821" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6822" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-368">ent_1 = \rho(e_1), ent_2=\rho(e_2)  \in Entities</script> .
-</li>
-<li>[WF] <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-369-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6823"><span style="display: inline-block; position: relative; width: 10px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6824"><span class="mi" id="MathJax-Span-6825" style="font-family: STIXGeneral-Italic;">a</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-369">a</script> denotes an activity <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-370-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6826"><span style="display: inline-block; position: relative; width: 172px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6827"><span class="mi" id="MathJax-Span-6828" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-6829" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-6830" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-6831" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-6832" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-6833" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-6834" style="font-family: STIXGeneral-Italic;">a</span><span class="mo" id="MathJax-Span-6835" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-6836" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-6837" style="font-family: STIXGeneral-Italic; padding-left: 6px;">A</span><span class="mi" id="MathJax-Span-6838" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-6839" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6840" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6841" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-6842" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6843" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6844" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6845" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6846" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-370">act = \rho(a) \in Activities</script>.
+<li>[WF] <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-367-Frame" class="MathJax"><nobr><span id="MathJax-Span-6778" class="math"><span style="display: inline-block; position: relative; width: 38px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.895em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6779" class="mrow"><span id="MathJax-Span-6780" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6781" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-6782" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6783" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-6784" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6785" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-6786" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.757em; vertical-align: -0.223em;"></span></span></nobr></span><script id="MathJax-Element-367" type="math/tex">e_1,e_2</script> denote entities <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-368-Frame" class="MathJax"><nobr><span id="MathJax-Span-6787" class="math"><span style="display: inline-block; position: relative; width: 255px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.95em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6788" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6789" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6790" class="mi">n</span><span id="MathJax-Span-6791" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6792" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-6793" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-6794" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-6795" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6796" class="mo">(</span><span id="MathJax-Span-6797" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6798" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-6799" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6800" class="mo">)</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6801" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-6802" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6803" class="mi">n</span><span id="MathJax-Span-6804" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6805" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-6806" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-6807" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-6808" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6809" class="mo">(</span><span id="MathJax-Span-6810" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6811" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-6812" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6813" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-6814" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-6815" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6816" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6817" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6818" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6819" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6820" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6821" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6822" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.068em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-368" type="math/tex">ent_1 = \rho(e_1), ent_2=\rho(e_2)  \in Entities</script> .
 </li>
-<li>[WF] <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-371-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6847"><span style="display: inline-block; position: relative; width: 10px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6848"><span class="mi" id="MathJax-Span-6849" style="font-family: STIXGeneral-Italic;">g</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 14.5px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-371">g</script> denotes a generation event <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-372-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6850"><span style="display: inline-block; position: relative; width: 159px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6851"><span class="mi" id="MathJax-Span-6852" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-6853" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6854" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-6855" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-6856" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-6857" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-6858" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-6859" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-6860" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-6861" style="font-family: STIXGeneral-Italic; padding-left: 6px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-6862" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-6863" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6864" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-6865" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6866" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-372">gen = \rho(g) \in Events</script> and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-373-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6867"><span style="display: inline-block; position: relative; width: 184px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.3px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6868"><span class="mi" id="MathJax-Span-6869" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6870" style="font-family: STIXGeneral-Italic;">y</span><span class="mi" id="MathJax-Span-6871" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-6872" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-6873" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-6874" style="font-family: STIXGeneral-Italic;">ρ</span><span class="mo" id="MathJax-Span-6875" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-6876" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-6877" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-6878" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-6879" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-6880" style="font-family: STIXGeneral-Italic; padding-left: 6px;">g</span><span class="mi" id="MathJax-Span-6881" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6882" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-6883" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6884" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-6885" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-6886" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6887" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6888" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-6889" style="font-family: STIXGeneral-Italic;">n</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-373">type(\rho(g)) = generation</script>.
+<li>[WF] <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-369-Frame" class="MathJax"><nobr><span id="MathJax-Span-6823" class="math"><span style="display: inline-block; position: relative; width: 9px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6824" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6825" class="mi">a</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.609em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-369" type="math/tex">a</script> denotes an activity <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-370-Frame" class="MathJax"><nobr><span id="MathJax-Span-6826" class="math"><span style="display: inline-block; position: relative; width: 159px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.95em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6827" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6828" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6829" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6830" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-6831" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-6832" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6833" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6834" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6835" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-6836" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-6837" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6838" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6839" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6840" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6841" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6842" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6843" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6844" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6845" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6846" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.068em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-370" type="math/tex">act = \rho(a) \in Activities</script>.
 </li>
-<li>[WF] <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-374-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6890"><span style="display: inline-block; position: relative; width: 10px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.2px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6891"><span class="mi" id="MathJax-Span-6892" style="font-family: STIXGeneral-Italic;">u</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-374">u</script> denotes a use event <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-375-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6893"><span style="display: inline-block; position: relative; width: 106px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -9.8px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6894"><span class="mi" id="MathJax-Span-6895" style="font-family: STIXGeneral-Italic;">ρ</span><span class="mo" id="MathJax-Span-6896" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-6897" style="font-family: STIXGeneral-Italic;">u</span><span class="mo" id="MathJax-Span-6898" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-6899" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-6900" style="font-family: STIXGeneral-Italic; padding-left: 6px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-6901" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-6902" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6903" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-6904" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6905" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-375">\rho(u) \in Events</script> and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-376-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6906"><span style="display: inline-block; position: relative; width: 126px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.3px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6907"><span class="mi" id="MathJax-Span-6908" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6909" style="font-family: STIXGeneral-Italic;">y</span><span class="mi" id="MathJax-Span-6910" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-6911" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-6912" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-6913" style="font-family: STIXGeneral-Italic;">ρ</span><span class="mo" id="MathJax-Span-6914" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-6915" style="font-family: STIXGeneral-Italic;">u</span><span class="mo" id="MathJax-Span-6916" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-6917" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-6918" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-6919" style="font-family: STIXGeneral-Italic; padding-left: 6px;">u</span><span class="mi" id="MathJax-Span-6920" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-6921" style="font-family: STIXGeneral-Italic;">e</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-376">type(\rho(u)) = use</script>.
+<li>[WF] <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-371-Frame" class="MathJax"><nobr><span id="MathJax-Span-6847" class="math"><span style="display: inline-block; position: relative; width: 9px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.951em, -0.518em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6848" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6849" class="mi">g</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.817em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-371" type="math/tex">g</script> denotes a generation event <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-372-Frame" class="MathJax"><nobr><span id="MathJax-Span-6850" class="math"><span style="display: inline-block; position: relative; width: 143px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.951em, -0.518em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6851" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6852" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6853" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6854" class="mi">n</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-6855" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-6856" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6857" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6858" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6859" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-6860" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-6861" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6862" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6863" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6864" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6865" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6866" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.069em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-372" type="math/tex">gen = \rho(g) \in Events</script> and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-373-Frame" class="MathJax"><nobr><span id="MathJax-Span-6867" class="math"><span style="display: inline-block; position: relative; width: 165px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.951em, -0.488em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6868" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6869" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6870" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6871" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6872" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6873" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6874" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6875" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6876" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6877" class="mo">)</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6878" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-6879" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-6880" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6881" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6882" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6883" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6884" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6885" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6886" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6887" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6888" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6889" class="mi">n</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.069em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-373" type="math/tex">type(\rho(g)) = generation</script>.
 </li>
-<li>The derivation denotes a one-step derivation <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-377-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6922"><span style="display: inline-block; position: relative; width: 382px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6923"><span class="mi" id="MathJax-Span-6924" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-6925" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6926" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-6927" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6928" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-6929" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6930" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-6931" style="font-family: STIXGeneral-Italic;">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.7px;"></span></span><span class="mi" id="MathJax-Span-6932" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-6933" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-6934" style="font-family: STIXGeneral-Italic;">m</span><span class="mo" id="MathJax-Span-6935" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-6936" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-6937" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6938" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-6939" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6940" style="font-family: STIXGeneral-Italic;">v</span><span class="mo" id="MathJax-Span-6941" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-6942" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-6943" style="font-family: STIXGeneral-Italic; padding-left: 6px;">e</span><span class="mi" id="MathJax-Span-6944" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-6945"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-6946" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-6947" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-6948" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">⋅</span><span class="mi" id="MathJax-Span-6949" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">g</span><span class="mi" id="MathJax-Span-6950" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6951" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-6952" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">⋅</span><span class="mi" id="MathJax-Span-6953" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">a</span><span class="mi" id="MathJax-Span-6954" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-6955" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-6956" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">⋅</span><span class="mi" id="MathJax-Span-6957" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">u</span><span class="mi" id="MathJax-Span-6958" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-6959" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-6960" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">⋅</span><span class="mi" id="MathJax-Span-6961" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">e</span><span class="mi" id="MathJax-Span-6962" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-6963"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-6964" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-6965" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-377">derivedFrom(deriv) =
+<li>[WF] <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-374-Frame" class="MathJax"><nobr><span id="MathJax-Span-6890" class="math"><span style="display: inline-block; position: relative; width: 9px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.484em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6891" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6892" class="mi">u</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.609em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-374" type="math/tex">u</script> denotes a use event <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-375-Frame" class="MathJax"><nobr><span id="MathJax-Span-6893" class="math"><span style="display: inline-block; position: relative; width: 97px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.95em, -0.566em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6894" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6895" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6896" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6897" class="mi">u</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6898" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-6899" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-6900" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6901" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6902" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6903" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6904" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6905" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.068em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-375" type="math/tex">\rho(u) \in Events</script> and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-376-Frame" class="MathJax"><nobr><span id="MathJax-Span-6906" class="math"><span style="display: inline-block; position: relative; width: 114px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.951em, -0.488em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6907" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6908" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6909" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6910" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6911" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6912" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6913" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6914" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6915" class="mi">u</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6916" class="mo">)</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6917" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-6918" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-6919" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6920" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6921" class="mi">e</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.069em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-376" type="math/tex">type(\rho(u)) = use</script>.
+</li>
+<li>The derivation denotes a one-step derivation <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-377-Frame" class="MathJax"><nobr><span id="MathJax-Span-6922" class="math"><span style="display: inline-block; position: relative; width: 339px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.511em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6923" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6924" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6925" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6926" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6927" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6928" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6929" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6930" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6931" class="mi">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.034em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6932" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6933" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6934" class="mi">m</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6935" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6936" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6937" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6938" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6939" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6940" class="mi">v</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6941" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-6942" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-6943" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6944" class="mi">n</span><span id="MathJax-Span-6945" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6946" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-6947" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-6948" class="mo">⋅</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-6949" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6950" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6951" class="mi">n</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-6952" class="mo">⋅</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-6953" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6954" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6955" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-6956" class="mo">⋅</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-6957" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6958" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6959" class="mi">e</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-6960" class="mo">⋅</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-6961" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6962" class="mi">n</span><span id="MathJax-Span-6963" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6964" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-6965" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-377" type="math/tex">derivedFrom(deriv) =
 ent_2 \cdot gen \cdot act \cdot use \cdot ent_1</script>.
 </li>
-<li>The attribute values match: <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-378-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6966"><span style="display: inline-block; position: relative; width: 167px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 54.4px -8.8px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6967"><span class="mi" id="MathJax-Span-6968" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-6969" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-6970" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6971" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-6972" style="font-family: STIXGeneral-Italic;">h</span><span class="mo" id="MathJax-Span-6973" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-6974" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-6975" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-6976" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-6977" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6978" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-6979" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6980" style="font-family: STIXGeneral-Italic;">v</span><span class="mo" id="MathJax-Span-6981" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-6982" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-6983" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6984" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-6985" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-6986" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-6987" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.6px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-378">match(W,deriv,attrs)</script>.</li>
+<li>The attribute values match: <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-378-Frame" class="MathJax"><nobr><span id="MathJax-Span-6966" class="math"><span style="display: inline-block; position: relative; width: 151px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.922em, -0.514em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6967" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6968" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6969" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6970" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6971" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6972" class="mi">h</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6973" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6974" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-6975" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-6976" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6977" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6978" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6979" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6980" class="mi">v</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6981" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-6982" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6983" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6984" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6985" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6986" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-6987" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.045em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-378" type="math/tex">match(W,deriv,attrs)</script>.</li>
 </ol>
 </div>
 </section>
@@ -1926,18 +1926,18 @@
 
 <h5><span class="secno">4.4.10.2 </span> Imprecise </h5>
 <p>
-An imprecise derivation formula has the form <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-379-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-6988"><span style="display: inline-block; position: relative; width: 318px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 54.4px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-6989"><span class="mi" id="MathJax-Span-6990" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-6991" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-6992" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-6993" style="font-family: STIXGeneral-Italic;">D</span><span class="mi" id="MathJax-Span-6994" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6995" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-6996" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-6997" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-6998" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-6999" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-7000" style="font-family: STIXGeneral-Italic;">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.7px;"></span></span><span class="mi" id="MathJax-Span-7001" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-7002" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-7003" style="font-family: STIXGeneral-Italic;">m</span><span class="mo" id="MathJax-Span-7004" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-7005" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7006" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-7007" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-7008" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7009" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-7010" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-7011" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-7012" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7013" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-7014" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-7015" style="font-family: STIXGeneral-Regular;">,</span><span class="mo" id="MathJax-Span-7016" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">−</span><span class="mo" id="MathJax-Span-7017" style="font-family: STIXGeneral-Regular;">,</span><span class="mo" id="MathJax-Span-7018" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">−</span><span class="mo" id="MathJax-Span-7019" style="font-family: STIXGeneral-Regular;">,</span><span class="mo" id="MathJax-Span-7020" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">−</span><span class="mo" id="MathJax-Span-7021" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-7022" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-7023" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7024" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7025" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-7026" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-7027" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.6px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-379">wasDerivedFrom(id,e_2,e_1,-,-,-,attrs)</script>.</p>
-
-<div class="formalism" id="rule_24" data-count="24" data-title="Formalism 24 (rule_24)"><div class="ruleTitle"><a class="internalDFN" href="#rule_24">Formalism 24 (rule_24)</a></div>
-  <p><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-380-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7028"><span style="display: inline-block; position: relative; width: 377px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7029"><span class="mi" id="MathJax-Span-7030" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-7031" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-7032" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-7033" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-7034" style="font-family: STIXGeneral-Italic; padding-left: 6px;">w</span><span class="mi" id="MathJax-Span-7035" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-7036" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-7037" style="font-family: STIXGeneral-Italic;">D</span><span class="mi" id="MathJax-Span-7038" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7039" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-7040" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7041" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-7042" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7043" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-7044" style="font-family: STIXGeneral-Italic;">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.7px;"></span></span><span class="mi" id="MathJax-Span-7045" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-7046" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-7047" style="font-family: STIXGeneral-Italic;">m</span><span class="mo" id="MathJax-Span-7048" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-7049" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7050" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-7051" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-7052" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7053" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-7054" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-7055" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-7056" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7057" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-7058" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-7059" style="font-family: STIXGeneral-Regular;">,</span><span class="mo" id="MathJax-Span-7060" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">−</span><span class="mo" id="MathJax-Span-7061" style="font-family: STIXGeneral-Regular;">,</span><span class="mo" id="MathJax-Span-7062" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">−</span><span class="mo" id="MathJax-Span-7063" style="font-family: STIXGeneral-Regular;">,</span><span class="mo" id="MathJax-Span-7064" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">−</span><span class="mo" id="MathJax-Span-7065" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-7066" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-7067" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7068" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7069" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-7070" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-7071" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-380">W,\rho \models wasDerivedFrom(id,e_2,e_1,-,-,-,attrs)</script> holds if and only if:</p>
+An imprecise derivation formula has the form <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-379-Frame" class="MathJax"><nobr><span id="MathJax-Span-6988" class="math"><span style="display: inline-block; position: relative; width: 289px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.922em, -0.511em); top: -2.57em; left: 0em;"><span id="MathJax-Span-6989" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6990" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6991" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6992" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6993" class="mi">D</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6994" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6995" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6996" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6997" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6998" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-6999" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7000" class="mi">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.034em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7001" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7002" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7003" class="mi">m</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7004" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7005" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7006" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7007" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-7008" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7009" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7010" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7011" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-7012" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7013" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7014" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7015" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-7016" class="mo">−</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7017" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-7018" class="mo">−</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7019" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-7020" class="mo">−</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7021" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-7022" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7023" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7024" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7025" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7026" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7027" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.045em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-379" type="math/tex">wasDerivedFrom(id,e_2,e_1,-,-,-,attrs)</script>.</p>
+
+<div data-title="Formalism 24 (rule_24)" data-count="24" id="rule_24" class="formalism"><div class="ruleTitle"><a href="#rule_24" class="internalDFN">Formalism 24 (rule_24)</a></div>
+  <p><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-380-Frame" class="MathJax"><nobr><span id="MathJax-Span-7028" class="math"><span style="display: inline-block; position: relative; width: 343px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7029" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7030" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7031" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-7032" class="mi">ρ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7033" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-7034" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7035" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7036" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7037" class="mi">D</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7038" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7039" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7040" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7041" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7042" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7043" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7044" class="mi">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.034em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7045" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7046" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7047" class="mi">m</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7048" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7049" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7050" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7051" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-7052" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7053" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7054" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7055" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-7056" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7057" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7058" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7059" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-7060" class="mo">−</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7061" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-7062" class="mo">−</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7063" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-7064" class="mo">−</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7065" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-7066" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7067" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7068" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7069" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7070" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7071" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.075em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-380" type="math/tex">W,\rho \models wasDerivedFrom(id,e_2,e_1,-,-,-,attrs)</script> holds if and only if:</p>
 <ol>
-<li>[WF] <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-381-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7072"><span style="display: inline-block; position: relative; width: 16px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7073"><span class="mi" id="MathJax-Span-7074" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7075" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-381">id</script> denotes a derivation <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-382-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7076"><span style="display: inline-block; position: relative; width: 215px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7077"><span class="mi" id="MathJax-Span-7078" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-7079" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7080" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-7081" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7082" style="font-family: STIXGeneral-Italic;">v</span><span class="mo" id="MathJax-Span-7083" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-7084" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-7085" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-7086" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7087" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-7088" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-7089" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-7090" style="font-family: STIXGeneral-Italic; padding-left: 6px;">D</span><span class="mi" id="MathJax-Span-7091" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7092" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-7093" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7094" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-7095" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-7096" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7097" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7098" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-7099" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-7100" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-382">deriv = \rho(id) \in Derivations</script>
+<li>[WF] <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-381-Frame" class="MathJax"><nobr><span id="MathJax-Span-7072" class="math"><span style="display: inline-block; position: relative; width: 14px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.477em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7073" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7074" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7075" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-381" type="math/tex">id</script> denotes a derivation <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-382-Frame" class="MathJax"><nobr><span id="MathJax-Span-7076" class="math"><span style="display: inline-block; position: relative; width: 196px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.511em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7077" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7078" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7079" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7080" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7081" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7082" class="mi">v</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7083" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-7084" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7085" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7086" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7087" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7088" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7089" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-7090" class="mi">D</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7091" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7092" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7093" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7094" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7095" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7096" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7097" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7098" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7099" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7100" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.075em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-382" type="math/tex">deriv = \rho(id) \in Derivations</script>
 </li>
-<li>[WF] <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-383-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7101"><span style="display: inline-block; position: relative; width: 41px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 53.9px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7102"><span class="msubsup" id="MathJax-Span-7103"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7104" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-7105" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-7106" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-7107" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7108" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-7109" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 13.4px; vertical-align: -3.9px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-383">e_1,e_2</script> denote entities <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-384-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7110"><span style="display: inline-block; position: relative; width: 281px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7111"><span class="mi" id="MathJax-Span-7112" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7113" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-7114"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7115" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-7116" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-7117" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-7118" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-7119" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-7120"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7121" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-7122" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-7123" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-7124" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-7125" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mi" id="MathJax-Span-7126" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-7127"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7128" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-7129" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-7130" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-7131" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-7132" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-7133"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7134" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-7135" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-7136" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-7137" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-7138" style="font-family: STIXGeneral-Italic; padding-left: 6px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-7139" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-7140" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7141" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7142" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7143" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7144" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7145" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-384">ent_1 = \rho(e_1), ent_2=\rho(e_2)  \in Entities</script> 
+<li>[WF] <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-383-Frame" class="MathJax"><nobr><span id="MathJax-Span-7101" class="math"><span style="display: inline-block; position: relative; width: 38px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.895em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7102" class="mrow"><span id="MathJax-Span-7103" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7104" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7105" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7106" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-7107" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7108" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7109" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.757em; vertical-align: -0.223em;"></span></span></nobr></span><script id="MathJax-Element-383" type="math/tex">e_1,e_2</script> denote entities <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-384-Frame" class="MathJax"><nobr><span id="MathJax-Span-7110" class="math"><span style="display: inline-block; position: relative; width: 255px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.95em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7111" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7112" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7113" class="mi">n</span><span id="MathJax-Span-7114" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7115" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7116" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7117" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-7118" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7119" class="mo">(</span><span id="MathJax-Span-7120" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7121" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7122" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7123" class="mo">)</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7124" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-7125" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7126" class="mi">n</span><span id="MathJax-Span-7127" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7128" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7129" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7130" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-7131" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7132" class="mo">(</span><span id="MathJax-Span-7133" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7134" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7135" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7136" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7137" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-7138" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7139" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7140" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7141" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7142" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7143" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7144" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7145" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.068em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-384" type="math/tex">ent_1 = \rho(e_1), ent_2=\rho(e_2)  \in Entities</script> 
 </li>
-<li><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-385-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7146"><span style="display: inline-block; position: relative; width: 287px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 54.4px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7147"><span class="mi" id="MathJax-Span-7148" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-7149" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7150" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-7151" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7152" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-7153" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7154" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-7155" style="font-family: STIXGeneral-Italic;">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.7px;"></span></span><span class="mi" id="MathJax-Span-7156" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-7157" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-7158" style="font-family: STIXGeneral-Italic;">m</span><span class="mo" id="MathJax-Span-7159" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-7160" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-7161" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7162" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-7163" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7164" style="font-family: STIXGeneral-Italic;">v</span><span class="mo" id="MathJax-Span-7165" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-7166" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-7167" style="font-family: STIXGeneral-Italic; padding-left: 6px;">e</span><span class="mi" id="MathJax-Span-7168" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-7169"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7170" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-7171" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-7172" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">⋅</span><span class="mi" id="MathJax-Span-7173" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mo" id="MathJax-Span-7174" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">⋅</span><span class="mi" id="MathJax-Span-7175" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">e</span><span class="mi" id="MathJax-Span-7176" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-7177"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7178" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-7179" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.6px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-385">derivedFrom(deriv)= ent_2 \cdot  w \cdot ent_1</script> for some <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-386-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7180"><span style="display: inline-block; position: relative; width: 13px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7181"><span class="mi" id="MathJax-Span-7182" style="font-family: STIXGeneral-Italic;">w</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.9px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-386">w</script>
+<li><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-385-Frame" class="MathJax"><nobr><span id="MathJax-Span-7146" class="math"><span style="display: inline-block; position: relative; width: 256px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.922em, -0.511em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7147" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7148" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7149" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7150" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7151" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7152" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7153" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7154" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7155" class="mi">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.034em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7156" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7157" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7158" class="mi">m</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7159" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7160" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7161" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7162" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7163" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7164" class="mi">v</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7165" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7166" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-7167" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7168" class="mi">n</span><span id="MathJax-Span-7169" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7170" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7171" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-7172" class="mo">⋅</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-7173" class="mi">w</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-7174" class="mo">⋅</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-7175" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7176" class="mi">n</span><span id="MathJax-Span-7177" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7178" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7179" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.045em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-385" type="math/tex">derivedFrom(deriv)= ent_2 \cdot  w \cdot ent_1</script> for some <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-386-Frame" class="MathJax"><nobr><span id="MathJax-Span-7180" class="math"><span style="display: inline-block; position: relative; width: 11px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.763em, -0.511em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7181" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7182" class="mi">w</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.616em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-386" type="math/tex">w</script>
 </li>
-<li>The attribute values match: <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-387-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7183"><span style="display: inline-block; position: relative; width: 167px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 54.4px -8.8px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7184"><span class="mi" id="MathJax-Span-7185" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-7186" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-7187" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7188" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-7189" style="font-family: STIXGeneral-Italic;">h</span><span class="mo" id="MathJax-Span-7190" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-7191" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-7192" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-7193" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-7194" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7195" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-7196" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7197" style="font-family: STIXGeneral-Italic;">v</span><span class="mo" id="MathJax-Span-7198" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-7199" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-7200" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7201" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7202" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-7203" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-7204" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.6px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-387">match(W,deriv,attrs)</script>.
+<li>The attribute values match: <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-387-Frame" class="MathJax"><nobr><span id="MathJax-Span-7183" class="math"><span style="display: inline-block; position: relative; width: 151px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.922em, -0.514em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7184" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7185" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7186" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7187" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7188" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7189" class="mi">h</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7190" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7191" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7192" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-7193" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7194" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7195" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7196" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7197" class="mi">v</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7198" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-7199" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7200" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7201" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7202" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7203" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7204" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.045em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-387" type="math/tex">match(W,deriv,attrs)</script>.
 </li></ol></div>
 </section>
 </section>
@@ -1952,7 +1952,7 @@
 <section id="specialization">
 <h4><span class="secno">4.4.12 </span> Specialization </h4>
 
-<p>The <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-388-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7205"><span style="display: inline-block; position: relative; width: 181px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7206"><span class="mi" id="MathJax-Span-7207" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-7208" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-7209" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7210" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-7211" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7212" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-7213" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-7214" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7215" style="font-family: STIXGeneral-Italic;">z</span><span class="mi" id="MathJax-Span-7216" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-7217" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7218" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7219" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-7220" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-7221" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-7222" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-7223" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-7224"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7225" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-7226" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-7227" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-7228" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7229" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-7230" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-7231" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-388">specializationOf(e_1,e_2)</script> relation indicates when one entity formula presents more specific aspects of another.  
+<p>The <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-388-Frame" class="MathJax"><nobr><span id="MathJax-Span-7205" class="math"><span style="display: inline-block; position: relative; width: 165px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.51em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7206" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7207" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7208" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7209" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7210" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7211" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7212" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7213" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7214" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7215" class="mi">z</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7216" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7217" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7218" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7219" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7220" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7221" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7222" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7223" class="mo">(</span><span id="MathJax-Span-7224" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7225" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7226" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7227" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-7228" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7229" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7230" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7231" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-388" type="math/tex">specializationOf(e_1,e_2)</script> relation indicates when one entity formula presents more specific aspects of another.  
 </p>
   <div class="note"><div class="note-title"><span>Note</span></div><div class="">
     <p>TODO: The content of this definition may be moved into the
@@ -1960,26 +1960,26 @@
     itself this definition is not transitive.</p>
     </div></div>
     
-<div class="formalism" id="rule_25" data-count="25" data-title="Formalism 25 (rule_25)"><div class="ruleTitle"><a class="internalDFN" href="#rule_25">Formalism 25 (rule_25)</a></div>  <p>
-  <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-389-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7232"><span style="display: inline-block; position: relative; width: 240px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7233"><span class="mi" id="MathJax-Span-7234" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-7235" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-7236" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-7237" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-7238" style="font-family: STIXGeneral-Italic; padding-left: 6px;">s</span><span class="mi" id="MathJax-Span-7239" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-7240" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7241" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-7242" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7243" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-7244" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-7245" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7246" style="font-family: STIXGeneral-Italic;">z</span><span class="mi" id="MathJax-Span-7247" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-7248" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7249" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7250" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-7251" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-7252" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-7253" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-7254" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-7255"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7256" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-7257" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-7258" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-7259" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7260" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-7261" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-7262" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-389">W,\rho \models specializationOf(e_1,e_2)</script> holds if and only if:</p>
+<div data-title="Formalism 25 (rule_25)" data-count="25" id="rule_25" class="formalism"><div class="ruleTitle"><a href="#rule_25" class="internalDFN">Formalism 25 (rule_25)</a></div>  <p>
+  <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-389-Frame" class="MathJax"><nobr><span id="MathJax-Span-7232" class="math"><span style="display: inline-block; position: relative; width: 219px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7233" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7234" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7235" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-7236" class="mi">ρ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7237" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-7238" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7239" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7240" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7241" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7242" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7243" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7244" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7245" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7246" class="mi">z</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7247" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7248" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7249" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7250" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7251" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7252" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7253" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7254" class="mo">(</span><span id="MathJax-Span-7255" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7256" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7257" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7258" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-7259" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7260" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7261" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7262" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-389" type="math/tex">W,\rho \models specializationOf(e_1,e_2)</script> holds if and only if:</p>
 <ol>
-<li>[WF] Both <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-390-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7263"><span style="display: inline-block; position: relative; width: 17px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(29.5px 19360px 46.9px -8.4px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-7264"><span class="msubsup" id="MathJax-Span-7265"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7266" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-7267" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 13.4px; vertical-align: -3.9px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-390">e_1</script> and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-391-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7268"><span style="display: inline-block; position: relative; width: 17px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(29.5px 19360px 46.9px -8.4px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-7269"><span class="msubsup" id="MathJax-Span-7270"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7271" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-7272" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 13.4px; vertical-align: -3.9px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-391">e_2</script> are entity identifiers, denoting
-  distinct entities <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-392-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7273"><span style="display: inline-block; position: relative; width: 177px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7274"><span class="mi" id="MathJax-Span-7275" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7276" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-7277"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7278" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-7279" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-7280" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-7281" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-7282" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-7283"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7284" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-7285" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-7286" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-7287" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-7288" style="font-family: STIXGeneral-Italic; padding-left: 6px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-7289" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-7290" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7291" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7292" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7293" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7294" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7295" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-392">ent_1
-  = \rho(e_1) \in Entities</script> and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-393-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7296"><span style="display: inline-block; position: relative; width: 177px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7297"><span class="mi" id="MathJax-Span-7298" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7299" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-7300"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7301" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-7302" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-7303" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-7304" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-7305" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-7306"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7307" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-7308" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-7309" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-7310" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-7311" style="font-family: STIXGeneral-Italic; padding-left: 6px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-7312" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-7313" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7314" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7315" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7316" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7317" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7318" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-393">ent_2 = \rho(e_2) \in Entities</script>,
-  where <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-394-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7319"><span style="display: inline-block; position: relative; width: 92px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.2px 19360px 54px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7320"><span class="mi" id="MathJax-Span-7321" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7322" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-7323"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7324" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-7325" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-7326" style="font-family: STIXGeneral-Regular; padding-left: 6px;">≠</span><span class="mi" id="MathJax-Span-7327" style="font-family: STIXGeneral-Italic; padding-left: 6px;">e</span><span class="mi" id="MathJax-Span-7328" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-7329"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7330" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-7331" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 17.8px; vertical-align: -4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-394">ent_1 \neq ent_2</script>.
+<li>[WF] Both <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-390-Frame" class="MathJax"><nobr><span id="MathJax-Span-7263" class="math"><span style="display: inline-block; position: relative; width: 15px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.428em, 1000em, 2.37em, -0.495em); top: -2.044em; left: 0em;"><span id="MathJax-Span-7264" class="mrow"><span id="MathJax-Span-7265" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7266" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7267" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.757em; vertical-align: -0.223em;"></span></span></nobr></span><script id="MathJax-Element-390" type="math/tex">e_1</script> and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-391-Frame" class="MathJax"><nobr><span id="MathJax-Span-7268" class="math"><span style="display: inline-block; position: relative; width: 15px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.428em, 1000em, 2.37em, -0.495em); top: -2.044em; left: 0em;"><span id="MathJax-Span-7269" class="mrow"><span id="MathJax-Span-7270" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7271" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7272" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.757em; vertical-align: -0.223em;"></span></span></nobr></span><script id="MathJax-Element-391" type="math/tex">e_2</script> are entity identifiers, denoting
+  distinct entities <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-392-Frame" class="MathJax"><nobr><span id="MathJax-Span-7273" class="math"><span style="display: inline-block; position: relative; width: 161px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.95em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7274" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7275" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7276" class="mi">n</span><span id="MathJax-Span-7277" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7278" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7279" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7280" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-7281" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7282" class="mo">(</span><span id="MathJax-Span-7283" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7284" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7285" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7286" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7287" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-7288" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7289" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7290" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7291" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7292" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7293" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7294" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7295" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.068em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-392" type="math/tex">ent_1
+  = \rho(e_1) \in Entities</script> and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-393-Frame" class="MathJax"><nobr><span id="MathJax-Span-7296" class="math"><span style="display: inline-block; position: relative; width: 161px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.95em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7297" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7298" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7299" class="mi">n</span><span id="MathJax-Span-7300" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7301" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7302" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7303" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-7304" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7305" class="mo">(</span><span id="MathJax-Span-7306" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7307" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7308" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7309" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7310" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-7311" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7312" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7313" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7314" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7315" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7316" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7317" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7318" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.068em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-393" type="math/tex">ent_2 = \rho(e_2) \in Entities</script>,
+  where <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-394-Frame" class="MathJax"><nobr><span id="MathJax-Span-7319" class="math"><span style="display: inline-block; position: relative; width: 79px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.901em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7320" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7321" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7322" class="mi">n</span><span id="MathJax-Span-7323" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7324" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7325" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7326" class="mo">≠</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-7327" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7328" class="mi">n</span><span id="MathJax-Span-7329" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7330" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7331" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1em; vertical-align: -0.229em;"></span></span></nobr></span><script id="MathJax-Element-394" type="math/tex">ent_1 \neq ent_2</script>.
 </li>
-<li>The two Entities refer to the same Thing, that is, <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-395-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7332"><span style="display: inline-block; position: relative; width: 238px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.3px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7333"><span class="mi" id="MathJax-Span-7334" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7335" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-7336" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7337" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-7338" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-7339" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-7340" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-7341" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-7342" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7343" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-7344"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7345" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-7346" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-7347" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-7348" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-7349" style="font-family: STIXGeneral-Italic; padding-left: 6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7350" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-7351" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7352" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-7353" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-7354" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-7355" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-7356" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-7357" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7358" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-7359"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7360" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-7361" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-7362" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-395">thingOf(ent_1) = thingOf(ent_2)</script>.
+<li>The two Entities refer to the same Thing, that is, <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-395-Frame" class="MathJax"><nobr><span id="MathJax-Span-7332" class="math"><span style="display: inline-block; position: relative; width: 212px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.488em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7333" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7334" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7335" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7336" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7337" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7338" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7339" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7340" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7341" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7342" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7343" class="mi">n</span><span id="MathJax-Span-7344" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7345" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7346" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7347" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7348" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-7349" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7350" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7351" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7352" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7353" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7354" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7355" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7356" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7357" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7358" class="mi">n</span><span id="MathJax-Span-7359" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7360" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7361" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7362" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-395" type="math/tex">thingOf(ent_1) = thingOf(ent_2)</script>.
 </li>
-<li>The lifetime of <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-396-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7363"><span style="display: inline-block; position: relative; width: 34px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55.7px -8.5px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7364"><span class="mi" id="MathJax-Span-7365" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-7366" style="font-family: STIXGeneral-Italic;">b</span><span class="msubsup" id="MathJax-Span-7367"><span style="display: inline-block; position: relative; width: 13.4px; height: 0px;"><span style="position: absolute; clip: rect(32.4px 19360px 55px -11.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7368" style="font-family: STIXGeneral-Italic;">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 5px;"><span class="mn" id="MathJax-Span-7369" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.9px; vertical-align: -5.7px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-396">obj_1</script> is contained in that of <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-397-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7370"><span style="display: inline-block; position: relative; width: 33px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 53.9px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7371"><span class="mi" id="MathJax-Span-7372" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7373" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-7374"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7375" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-7376" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -3.9px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-397">ent_2</script>, i.e. <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-398-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7377"><span style="display: inline-block; position: relative; width: 230px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.2px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7378"><span class="mi" id="MathJax-Span-7379" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-7380" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7381" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-7382" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7383" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7384" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7385" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-7386" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-7387" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-7388" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7389" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-7390"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7391" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-7392" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-7393" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-7394" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊆</span><span class="mi" id="MathJax-Span-7395" style="font-family: STIXGeneral-Italic; padding-left: 6px;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-7396" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7397" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-7398" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7399" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7400" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7401" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-7402" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-7403" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-7404" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7405" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-7406"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7407" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-7408" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-7409" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-398">lifetime(ent_1) \subseteq lifetime(ent_2)</script>.
+<li>The lifetime of <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-396-Frame" class="MathJax"><nobr><span id="MathJax-Span-7363" class="math"><span style="display: inline-block; position: relative; width: 29px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.988em, -0.499em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7364" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7365" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7366" class="mi">b</span><span id="MathJax-Span-7367" class="msubsup"><span style="display: inline-block; position: relative; width: 0.717em; height: 0px;"><span style="position: absolute; clip: rect(1.743em, 1000em, 2.952em, -0.65em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7368" class="mi">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.86em; left: 0.291em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7369" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.115em; vertical-align: -0.322em;"></span></span></nobr></span><script id="MathJax-Element-396" type="math/tex">obj_1</script> is contained in that of <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-397-Frame" class="MathJax"><nobr><span id="MathJax-Span-7370" class="math"><span style="display: inline-block; position: relative; width: 28px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.895em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7371" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7372" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7373" class="mi">n</span><span id="MathJax-Span-7374" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7375" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7376" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.223em;"></span></span></nobr></span><script id="MathJax-Element-397" type="math/tex">ent_2</script>, i.e. <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-398-Frame" class="MathJax"><nobr><span id="MathJax-Span-7377" class="math"><span style="display: inline-block; position: relative; width: 209px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.485em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7378" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7379" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7380" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7381" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7382" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7383" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7384" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7385" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7386" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7387" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7388" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7389" class="mi">n</span><span id="MathJax-Span-7390" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7391" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7392" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7393" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7394" class="mo">⊆</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-7395" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7396" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7397" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7398" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7399" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7400" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7401" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7402" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7403" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7404" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7405" class="mi">n</span><span id="MathJax-Span-7406" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7407" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7408" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7409" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-398" type="math/tex">lifetime(ent_1) \subseteq lifetime(ent_2)</script>.
 </li>
-<li>For each attribute <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-399-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7410"><span style="display: inline-block; position: relative; width: 28px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7411"><span class="mi" id="MathJax-Span-7412" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-7413" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7414" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7415" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 12.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-399">attr</script> we have <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-400-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7416"><span style="display: inline-block; position: relative; width: 270px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55.7px -8.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7417"><span class="mi" id="MathJax-Span-7418" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-7419" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-7420" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-7421" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-7422" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-7423" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-7424" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-7425" style="font-family: STIXGeneral-Italic;">b</span><span class="msubsup" id="MathJax-Span-7426"><span style="display: inline-block; position: relative; width: 13.4px; height: 0px;"><span style="position: absolute; clip: rect(32.4px 19360px 55px -11.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7427" style="font-family: STIXGeneral-Italic;">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 5px;"><span class="mn" id="MathJax-Span-7428" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-7429" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-7430" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-7431" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7432" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7433" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mo" id="MathJax-Span-7434" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-7435" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊇</span><span class="mi" id="MathJax-Span-7436" style="font-family: STIXGeneral-Italic; padding-left: 6px;">v</span><span class="mi" id="MathJax-Span-7437" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-7438" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-7439" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-7440" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-7441" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-7442" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-7443" style="font-family: STIXGeneral-Italic;">b</span><span class="msubsup" id="MathJax-Span-7444"><span style="display: inline-block; position: relative; width: 13.4px; height: 0px;"><span style="position: absolute; clip: rect(32.4px 19360px 55px -11.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7445" style="font-family: STIXGeneral-Italic;">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 5px;"><span class="mn" id="MathJax-Span-7446" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-7447" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-7448" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-7449" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7450" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7451" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mo" id="MathJax-Span-7452" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.9px; vertical-align: -5.7px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-400">value(obj_1,attr) \supseteq value(obj_2,attr)</script>.
+<li>For each attribute <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-399-Frame" class="MathJax"><nobr><span id="MathJax-Span-7410" class="math"><span style="display: inline-block; position: relative; width: 26px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7411" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7412" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7413" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7414" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7415" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.721em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-399" type="math/tex">attr</script> we have <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-400-Frame" class="MathJax"><nobr><span id="MathJax-Span-7416" class="math"><span style="display: inline-block; position: relative; width: 244px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.988em, -0.506em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7417" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7418" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7419" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7420" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7421" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7422" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7423" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7424" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7425" class="mi">b</span><span id="MathJax-Span-7426" class="msubsup"><span style="display: inline-block; position: relative; width: 0.717em; height: 0px;"><span style="position: absolute; clip: rect(1.743em, 1000em, 2.952em, -0.65em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7427" class="mi">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.86em; left: 0.291em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7428" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7429" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-7430" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7431" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7432" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7433" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7434" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7435" class="mo">⊇</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-7436" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7437" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7438" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7439" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7440" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7441" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7442" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7443" class="mi">b</span><span id="MathJax-Span-7444" class="msubsup"><span style="display: inline-block; position: relative; width: 0.717em; height: 0px;"><span style="position: absolute; clip: rect(1.743em, 1000em, 2.952em, -0.65em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7445" class="mi">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.86em; left: 0.291em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7446" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7447" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-7448" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7449" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7450" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7451" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7452" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.115em; vertical-align: -0.322em;"></span></span></nobr></span><script id="MathJax-Element-400" type="math/tex">value(obj_1,attr) \supseteq value(obj_2,attr)</script>.
 </li></ol></div>
 
 <p>The second criterion says that the two Entities present aspects of
-the same Thing. Note that the third criterion allows <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-401-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7453"><span style="display: inline-block; position: relative; width: 34px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55.7px -8.5px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7454"><span class="mi" id="MathJax-Span-7455" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-7456" style="font-family: STIXGeneral-Italic;">b</span><span class="msubsup" id="MathJax-Span-7457"><span style="display: inline-block; position: relative; width: 13.4px; height: 0px;"><span style="position: absolute; clip: rect(32.4px 19360px 55px -11.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7458" style="font-family: STIXGeneral-Italic;">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 5px;"><span class="mn" id="MathJax-Span-7459" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.9px; vertical-align: -5.7px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-401">obj_1</script> and
-<span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-402-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7460"><span style="display: inline-block; position: relative; width: 34px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55.7px -8.5px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7461"><span class="mi" id="MathJax-Span-7462" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-7463" style="font-family: STIXGeneral-Italic;">b</span><span class="msubsup" id="MathJax-Span-7464"><span style="display: inline-block; position: relative; width: 13.4px; height: 0px;"><span style="position: absolute; clip: rect(32.4px 19360px 55px -11.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7465" style="font-family: STIXGeneral-Italic;">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 5px;"><span class="mn" id="MathJax-Span-7466" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.9px; vertical-align: -5.7px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-402">obj_2</script> to have the same lifetime (or that of <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-403-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7467"><span style="display: inline-block; position: relative; width: 34px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55.7px -8.5px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7468"><span class="mi" id="MathJax-Span-7469" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-7470" style="font-family: STIXGeneral-Italic;">b</span><span class="msubsup" id="MathJax-Span-7471"><span style="display: inline-block; position: relative; width: 13.4px; height: 0px;"><span style="position: absolute; clip: rect(32.4px 19360px 55px -11.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7472" style="font-family: STIXGeneral-Italic;">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 5px;"><span class="mn" id="MathJax-Span-7473" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.9px; vertical-align: -5.7px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-403">obj_2</script> can be larger).
-The last criterion allows <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-404-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7474"><span style="display: inline-block; position: relative; width: 34px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55.7px -8.5px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7475"><span class="mi" id="MathJax-Span-7476" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-7477" style="font-family: STIXGeneral-Italic;">b</span><span class="msubsup" id="MathJax-Span-7478"><span style="display: inline-block; position: relative; width: 13.4px; height: 0px;"><span style="position: absolute; clip: rect(32.4px 19360px 55px -11.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7479" style="font-family: STIXGeneral-Italic;">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 5px;"><span class="mn" id="MathJax-Span-7480" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.9px; vertical-align: -5.7px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-404">obj_1</script> to have more defined attributes than
-<span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-405-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7481"><span style="display: inline-block; position: relative; width: 34px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55.7px -8.5px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7482"><span class="mi" id="MathJax-Span-7483" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-7484" style="font-family: STIXGeneral-Italic;">b</span><span class="msubsup" id="MathJax-Span-7485"><span style="display: inline-block; position: relative; width: 13.4px; height: 0px;"><span style="position: absolute; clip: rect(32.4px 19360px 55px -11.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7486" style="font-family: STIXGeneral-Italic;">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 5px;"><span class="mn" id="MathJax-Span-7487" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.9px; vertical-align: -5.7px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-405">obj_2</script>, but they must include the attributes defined by <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-406-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7488"><span style="display: inline-block; position: relative; width: 34px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55.7px -8.5px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7489"><span class="mi" id="MathJax-Span-7490" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-7491" style="font-family: STIXGeneral-Italic;">b</span><span class="msubsup" id="MathJax-Span-7492"><span style="display: inline-block; position: relative; width: 13.4px; height: 0px;"><span style="position: absolute; clip: rect(32.4px 19360px 55px -11.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7493" style="font-family: STIXGeneral-Italic;">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 5px;"><span class="mn" id="MathJax-Span-7494" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.9px; vertical-align: -5.7px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-406">obj_2</script>.
+the same Thing. Note that the third criterion allows <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-401-Frame" class="MathJax"><nobr><span id="MathJax-Span-7453" class="math"><span style="display: inline-block; position: relative; width: 29px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.988em, -0.499em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7454" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7455" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7456" class="mi">b</span><span id="MathJax-Span-7457" class="msubsup"><span style="display: inline-block; position: relative; width: 0.717em; height: 0px;"><span style="position: absolute; clip: rect(1.743em, 1000em, 2.952em, -0.65em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7458" class="mi">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.86em; left: 0.291em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7459" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.115em; vertical-align: -0.322em;"></span></span></nobr></span><script id="MathJax-Element-401" type="math/tex">obj_1</script> and
+<span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-402-Frame" class="MathJax"><nobr><span id="MathJax-Span-7460" class="math"><span style="display: inline-block; position: relative; width: 29px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.988em, -0.499em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7461" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7462" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7463" class="mi">b</span><span id="MathJax-Span-7464" class="msubsup"><span style="display: inline-block; position: relative; width: 0.717em; height: 0px;"><span style="position: absolute; clip: rect(1.743em, 1000em, 2.952em, -0.65em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7465" class="mi">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.86em; left: 0.291em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7466" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.115em; vertical-align: -0.322em;"></span></span></nobr></span><script id="MathJax-Element-402" type="math/tex">obj_2</script> to have the same lifetime (or that of <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-403-Frame" class="MathJax"><nobr><span id="MathJax-Span-7467" class="math"><span style="display: inline-block; position: relative; width: 29px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.988em, -0.499em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7468" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7469" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7470" class="mi">b</span><span id="MathJax-Span-7471" class="msubsup"><span style="display: inline-block; position: relative; width: 0.717em; height: 0px;"><span style="position: absolute; clip: rect(1.743em, 1000em, 2.952em, -0.65em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7472" class="mi">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.86em; left: 0.291em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7473" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.115em; vertical-align: -0.322em;"></span></span></nobr></span><script id="MathJax-Element-403" type="math/tex">obj_2</script> can be larger).
+The last criterion allows <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-404-Frame" class="MathJax"><nobr><span id="MathJax-Span-7474" class="math"><span style="display: inline-block; position: relative; width: 29px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.988em, -0.499em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7475" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7476" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7477" class="mi">b</span><span id="MathJax-Span-7478" class="msubsup"><span style="display: inline-block; position: relative; width: 0.717em; height: 0px;"><span style="position: absolute; clip: rect(1.743em, 1000em, 2.952em, -0.65em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7479" class="mi">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.86em; left: 0.291em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7480" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.115em; vertical-align: -0.322em;"></span></span></nobr></span><script id="MathJax-Element-404" type="math/tex">obj_1</script> to have more defined attributes than
+<span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-405-Frame" class="MathJax"><nobr><span id="MathJax-Span-7481" class="math"><span style="display: inline-block; position: relative; width: 29px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.988em, -0.499em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7482" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7483" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7484" class="mi">b</span><span id="MathJax-Span-7485" class="msubsup"><span style="display: inline-block; position: relative; width: 0.717em; height: 0px;"><span style="position: absolute; clip: rect(1.743em, 1000em, 2.952em, -0.65em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7486" class="mi">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.86em; left: 0.291em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7487" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.115em; vertical-align: -0.322em;"></span></span></nobr></span><script id="MathJax-Element-405" type="math/tex">obj_2</script>, but they must include the attributes defined by <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-406-Frame" class="MathJax"><nobr><span id="MathJax-Span-7488" class="math"><span style="display: inline-block; position: relative; width: 29px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.988em, -0.499em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7489" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7490" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7491" class="mi">b</span><span id="MathJax-Span-7492" class="msubsup"><span style="display: inline-block; position: relative; width: 0.717em; height: 0px;"><span style="position: absolute; clip: rect(1.743em, 1000em, 2.952em, -0.65em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7493" class="mi">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.86em; left: 0.291em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7494" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.115em; vertical-align: -0.322em;"></span></span></nobr></span><script id="MathJax-Element-406" type="math/tex">obj_2</script>.
 </p>
 
 </section>
@@ -1987,15 +1987,15 @@
 
 <h4><span class="secno">4.4.13 </span> Alternate </h4>
 
-<p>The <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-407-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7495"><span style="display: inline-block; position: relative; width: 91px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7496"><span class="mi" id="MathJax-Span-7497" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-7498" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-7499" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7500" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7501" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-7502" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-7503" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-7504" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7505" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7506" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-7507" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-407">alternateOf</script> relation indicates when two entity formulas present (possibly different) aspects of the same thing.  The two entities may or may not overlap in time.
+<p>The <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-407-Frame" class="MathJax"><nobr><span id="MathJax-Span-7495" class="math"><span style="display: inline-block; position: relative; width: 83px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7496" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7497" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7498" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7499" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7500" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7501" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7502" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7503" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7504" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7505" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7506" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7507" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-407" type="math/tex">alternateOf</script> relation indicates when two entity formulas present (possibly different) aspects of the same thing.  The two entities may or may not overlap in time.
 </p>
-<div class="formalism" id="rule_26" data-count="26" data-title="Formalism 26 (rule_26)"><div class="ruleTitle"><a class="internalDFN" href="#rule_26">Formalism 26 (rule_26)</a></div>
+<div data-title="Formalism 26 (rule_26)" data-count="26" id="rule_26" class="formalism"><div class="ruleTitle"><a href="#rule_26" class="internalDFN">Formalism 26 (rule_26)</a></div>
   <p>
-  <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-408-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7508"><span style="display: inline-block; position: relative; width: 204px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7509"><span class="mi" id="MathJax-Span-7510" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-7511" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-7512" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-7513" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-7514" style="font-family: STIXGeneral-Italic; padding-left: 6px;">a</span><span class="mi" id="MathJax-Span-7515" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-7516" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7517" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7518" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-7519" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-7520" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-7521" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7522" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7523" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-7524" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-7525" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-7526"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7527" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-7528" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-7529" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-7530" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7531" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-7532" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-7533" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-408">W,\rho \models alternateOf(e_1,e_2)</script> holds if and only if:</p>
+  <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-408-Frame" class="MathJax"><nobr><span id="MathJax-Span-7508" class="math"><span style="display: inline-block; position: relative; width: 186px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7509" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7510" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7511" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-7512" class="mi">ρ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7513" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-7514" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7515" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7516" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7517" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7518" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7519" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7520" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7521" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7522" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7523" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7524" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7525" class="mo">(</span><span id="MathJax-Span-7526" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7527" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7528" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7529" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-7530" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7531" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7532" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7533" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-408" type="math/tex">W,\rho \models alternateOf(e_1,e_2)</script> holds if and only if:</p>
 <ol>
-<li>[WF] Both <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-409-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7534"><span style="display: inline-block; position: relative; width: 17px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(29.5px 19360px 46.9px -8.4px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-7535"><span class="msubsup" id="MathJax-Span-7536"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7537" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-7538" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 13.4px; vertical-align: -3.9px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-409">e_1</script> and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-410-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7539"><span style="display: inline-block; position: relative; width: 17px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(29.5px 19360px 46.9px -8.4px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-7540"><span class="msubsup" id="MathJax-Span-7541"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7542" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-7543" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 13.4px; vertical-align: -3.9px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-410">e_2</script> are entity identifiers, denoting <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-411-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7544"><span style="display: inline-block; position: relative; width: 96px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7545"><span class="mi" id="MathJax-Span-7546" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7547" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-7548"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7549" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-7550" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-7551" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-7552" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-7553" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-7554"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7555" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-7556" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-7557" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-411">ent_1 = \rho(e_1)</script> and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-412-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7558"><span style="display: inline-block; position: relative; width: 96px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7559"><span class="mi" id="MathJax-Span-7560" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7561" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-7562"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7563" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-7564" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-7565" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-7566" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-7567" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-7568"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7569" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-7570" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-7571" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-412">ent_2 = \rho(e_2)</script>.
+<li>[WF] Both <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-409-Frame" class="MathJax"><nobr><span id="MathJax-Span-7534" class="math"><span style="display: inline-block; position: relative; width: 15px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.428em, 1000em, 2.37em, -0.495em); top: -2.044em; left: 0em;"><span id="MathJax-Span-7535" class="mrow"><span id="MathJax-Span-7536" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7537" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7538" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.757em; vertical-align: -0.223em;"></span></span></nobr></span><script id="MathJax-Element-409" type="math/tex">e_1</script> and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-410-Frame" class="MathJax"><nobr><span id="MathJax-Span-7539" class="math"><span style="display: inline-block; position: relative; width: 15px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.428em, 1000em, 2.37em, -0.495em); top: -2.044em; left: 0em;"><span id="MathJax-Span-7540" class="mrow"><span id="MathJax-Span-7541" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7542" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7543" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.757em; vertical-align: -0.223em;"></span></span></nobr></span><script id="MathJax-Element-410" type="math/tex">e_2</script> are entity identifiers, denoting <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-411-Frame" class="MathJax"><nobr><span id="MathJax-Span-7544" class="math"><span style="display: inline-block; position: relative; width: 86px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.95em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7545" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7546" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7547" class="mi">n</span><span id="MathJax-Span-7548" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7549" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7550" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7551" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-7552" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7553" class="mo">(</span><span id="MathJax-Span-7554" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7555" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7556" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7557" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.068em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-411" type="math/tex">ent_1 = \rho(e_1)</script> and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-412-Frame" class="MathJax"><nobr><span id="MathJax-Span-7558" class="math"><span style="display: inline-block; position: relative; width: 86px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.95em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7559" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7560" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7561" class="mi">n</span><span id="MathJax-Span-7562" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7563" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7564" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7565" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-7566" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7567" class="mo">(</span><span id="MathJax-Span-7568" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7569" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7570" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7571" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.068em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-412" type="math/tex">ent_2 = \rho(e_2)</script>.
 </li>
-<li>The two objects refer to the same underlying Thing: <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-413-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7572"><span style="display: inline-block; position: relative; width: 238px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.3px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7573"><span class="mi" id="MathJax-Span-7574" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7575" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-7576" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7577" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-7578" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-7579" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-7580" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-7581" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-7582" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7583" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-7584"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7585" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-7586" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-7587" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-7588" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-7589" style="font-family: STIXGeneral-Italic; padding-left: 6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7590" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-7591" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7592" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-7593" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-7594" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-7595" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-7596" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-7597" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7598" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-7599"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7600" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-7601" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-7602" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-413">thingOf(ent_1) = thingOf(ent_2)</script>
+<li>The two objects refer to the same underlying Thing: <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-413-Frame" class="MathJax"><nobr><span id="MathJax-Span-7572" class="math"><span style="display: inline-block; position: relative; width: 212px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.488em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7573" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7574" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7575" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7576" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7577" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7578" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7579" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7580" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7581" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7582" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7583" class="mi">n</span><span id="MathJax-Span-7584" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7585" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7586" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7587" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7588" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-7589" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7590" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7591" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7592" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7593" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7594" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7595" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7596" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7597" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7598" class="mi">n</span><span id="MathJax-Span-7599" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7600" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7601" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7602" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-413" type="math/tex">thingOf(ent_1) = thingOf(ent_2)</script>
 </li></ol>
 </div>
 
@@ -2007,14 +2007,14 @@
 
 <h4><span class="secno">4.4.14 </span> Membership </h4>
 
-<p>The <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-414-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7603"><span style="display: inline-block; position: relative; width: 95px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7604"><span class="mi" id="MathJax-Span-7605" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-7606" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-7607" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-7608" style="font-family: STIXGeneral-Italic;">M<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.8px;"></span></span><span class="mi" id="MathJax-Span-7609" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7610" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-7611" style="font-family: STIXGeneral-Italic;">b</span><span class="mi" id="MathJax-Span-7612" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7613" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-414">hadMember</script> relation relates a collection to an element of the collection.
+<p>The <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-414-Frame" class="MathJax"><nobr><span id="MathJax-Span-7603" class="math"><span style="display: inline-block; position: relative; width: 84px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.507em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7604" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7605" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7606" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7607" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7608" class="mi">M<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.039em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7609" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7610" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7611" class="mi">b</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7612" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7613" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-414" type="math/tex">hadMember</script> relation relates a collection to an element of the collection.
 </p>
-<div class="formalism" id="rule_27" data-count="27" data-title="Formalism 27 (rule_27)"><div class="ruleTitle"><a class="internalDFN" href="#rule_27">Formalism 27 (rule_27)</a></div>
+<div data-title="Formalism 27 (rule_27)" data-count="27" id="rule_27" class="formalism"><div class="ruleTitle"><a href="#rule_27" class="internalDFN">Formalism 27 (rule_27)</a></div>
   <p>
-  <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-415-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7614"><span style="display: inline-block; position: relative; width: 191px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7615"><span class="mi" id="MathJax-Span-7616" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-7617" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-7618" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-7619" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-7620" style="font-family: STIXGeneral-Italic; padding-left: 6px;">h</span><span class="mi" id="MathJax-Span-7621" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-7622" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-7623" style="font-family: STIXGeneral-Italic;">M<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.8px;"></span></span><span class="mi" id="MathJax-Span-7624" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7625" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-7626" style="font-family: STIXGeneral-Italic;">b</span><span class="mi" id="MathJax-Span-7627" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7628" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mo" id="MathJax-Span-7629" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-7630" style="font-family: STIXGeneral-Italic;">c</span><span class="mo" id="MathJax-Span-7631" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-7632" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-7633" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-415">W,\rho \models hadMember(c,e)</script> holds if and only if:</p>
+  <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-415-Frame" class="MathJax"><nobr><span id="MathJax-Span-7614" class="math"><span style="display: inline-block; position: relative; width: 172px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7615" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7616" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7617" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-7618" class="mi">ρ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7619" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-7620" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7621" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7622" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7623" class="mi">M<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.039em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7624" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7625" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7626" class="mi">b</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7627" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7628" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7629" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7630" class="mi">c</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7631" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-7632" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7633" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.075em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-415" type="math/tex">W,\rho \models hadMember(c,e)</script> holds if and only if:</p>
 <ol>
-<li>[WF] Both <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-416-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7634"><span style="display: inline-block; position: relative; width: 17px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(29.5px 19360px 46.9px -8.4px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-7635"><span class="msubsup" id="MathJax-Span-7636"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7637" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-7638" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 13.4px; vertical-align: -3.9px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-416">e_1</script> and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-417-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7639"><span style="display: inline-block; position: relative; width: 17px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(29.5px 19360px 46.9px -8.4px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-7640"><span class="msubsup" id="MathJax-Span-7641"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-7642" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-7643" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 13.4px; vertical-align: -3.9px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-417">e_2</script> are entity identifiers, denoting <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-418-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7644"><span style="display: inline-block; position: relative; width: 193px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7645"><span class="mi" id="MathJax-Span-7646" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-7647" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-7648" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-7649" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mo" id="MathJax-Span-7650" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-7651" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-7652" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-7653" style="font-family: STIXGeneral-Italic;">c</span><span class="mo" id="MathJax-Span-7654" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-7655" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-7656" style="font-family: STIXGeneral-Italic; padding-left: 6px;">C<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-7657" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-7658" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-7659" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-7660" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7661" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-7662" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7663" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7664" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-7665" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-7666" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-418">coll
-  = \rho(c) \in Collections</script> and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-419-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7667"><span style="display: inline-block; position: relative; width: 160px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7668"><span class="mi" id="MathJax-Span-7669" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7670" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-7671" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-7672" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-7673" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-7674" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-7675" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-7676" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-7677" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-7678" style="font-family: STIXGeneral-Italic; padding-left: 6px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-7679" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-7680" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7681" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7682" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7683" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7684" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7685" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-419">ent = \rho(e) \in Entities</script>.
+<li>[WF] Both <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-416-Frame" class="MathJax"><nobr><span id="MathJax-Span-7634" class="math"><span style="display: inline-block; position: relative; width: 15px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.428em, 1000em, 2.37em, -0.495em); top: -2.044em; left: 0em;"><span id="MathJax-Span-7635" class="mrow"><span id="MathJax-Span-7636" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7637" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7638" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.757em; vertical-align: -0.223em;"></span></span></nobr></span><script id="MathJax-Element-416" type="math/tex">e_1</script> and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-417-Frame" class="MathJax"><nobr><span id="MathJax-Span-7639" class="math"><span style="display: inline-block; position: relative; width: 15px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.428em, 1000em, 2.37em, -0.495em); top: -2.044em; left: 0em;"><span id="MathJax-Span-7640" class="mrow"><span id="MathJax-Span-7641" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7642" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-7643" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.757em; vertical-align: -0.223em;"></span></span></nobr></span><script id="MathJax-Element-417" type="math/tex">e_2</script> are entity identifiers, denoting <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-418-Frame" class="MathJax"><nobr><span id="MathJax-Span-7644" class="math"><span style="display: inline-block; position: relative; width: 177px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.496em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7645" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7646" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7647" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7648" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7649" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7650" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-7651" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7652" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7653" class="mi">c</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7654" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7655" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-7656" class="mi">C<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.022em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7657" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7658" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7659" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7660" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7661" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7662" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7663" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7664" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7665" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7666" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.075em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-418" type="math/tex">coll
+  = \rho(c) \in Collections</script> and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-419-Frame" class="MathJax"><nobr><span id="MathJax-Span-7667" class="math"><span style="display: inline-block; position: relative; width: 147px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.95em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7668" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7669" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7670" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7671" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7672" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-7673" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7674" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7675" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7676" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7677" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-7678" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7679" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7680" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7681" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7682" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7683" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7684" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7685" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.068em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-419" type="math/tex">ent = \rho(e) \in Entities</script>.
 </li>
 <li>TODO
 </li></ol>
@@ -2039,38 +2039,38 @@
   <section id="equals">
   <h4><span class="secno">4.5.1 </span>Equals</h4>
   <p>As usual, an equality formula means that two expressions denote
-  the same value.  Identifiers always denote <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-420-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7686"><span style="display: inline-block; position: relative; width: 58px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.8px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7687"><span class="mi" id="MathJax-Span-7688" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-7689" style="font-family: STIXGeneral-Italic;">b</span><span class="mi" id="MathJax-Span-7690" style="font-family: STIXGeneral-Italic;">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-7691" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7692" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-7693" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7694" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-420">Objects</script>.</p>
-  <div class="formalism" id="equality" data-count="28" data-title="Formalism 28 (equality)"><div class="ruleTitle"><a class="internalDFN" href="#equality">Formalism 28 (equality)</a></div>
-    <p><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-421-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7695"><span style="display: inline-block; position: relative; width: 101px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.2px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7696"><span class="mi" id="MathJax-Span-7697" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-7698" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-7699" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-7700" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-7701" style="font-family: STIXGeneral-Italic; padding-left: 6px;">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.1px;"></span></span><span class="mo" id="MathJax-Span-7702" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-7703" style="font-family: STIXGeneral-Italic; padding-left: 6px;">y</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.8px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-421">W,\rho \models x = y</script> holds if and only if <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-422-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7704"><span style="display: inline-block; position: relative; width: 86px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -9.8px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7705"><span class="mi" id="MathJax-Span-7706" style="font-family: STIXGeneral-Italic;">ρ</span><span class="mo" id="MathJax-Span-7707" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-7708" style="font-family: STIXGeneral-Italic;">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.1px;"></span></span><span class="mo" id="MathJax-Span-7709" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-7710" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-7711" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-7712" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-7713" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-7714" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-422">\rho(x) =
+  the same value.  Identifiers always denote <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-420-Frame" class="MathJax"><nobr><span id="MathJax-Span-7686" class="math"><span style="display: inline-block; position: relative; width: 53px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.466em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7687" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7688" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7689" class="mi">b</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7690" class="mi">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7691" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7692" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7693" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7694" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-420" type="math/tex">Objects</script>.</p>
+  <div data-title="Formalism 28 (equality)" data-count="28" class="formalism" id="equality"><div class="ruleTitle"><a href="#equality" class="internalDFN">Formalism 28 (equality)</a></div>
+    <p><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-421-Frame" class="MathJax"><nobr><span id="MathJax-Span-7695" class="math"><span style="display: inline-block; position: relative; width: 92px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.951em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7696" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7697" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7698" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-7699" class="mi">ρ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7700" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-7701" class="mi">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7702" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-7703" class="mi">y</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.054em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-421" type="math/tex">W,\rho \models x = y</script> holds if and only if <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-422-Frame" class="MathJax"><nobr><span id="MathJax-Span-7704" class="math"><span style="display: inline-block; position: relative; width: 78px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.951em, -0.566em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7705" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7706" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7707" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7708" class="mi">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7709" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7710" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-7711" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7712" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7713" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7714" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.069em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-422" type="math/tex">\rho(x) =
     \rho(y)</script>.</p>
   </div>
   </section>
   <section id="precedes-and-strictly-precedes">
   <h4><span class="secno">4.5.2 </span>Precedes and Strictly Precedes</h4>
-  <p>The precedes relation <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-423-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7715"><span style="display: inline-block; position: relative; width: 40px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(33.2px 19360px 55px -9.5px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7716"><span class="mi" id="MathJax-Span-7717" style="font-family: STIXGeneral-Italic;">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.1px;"></span></span><span class="mo" id="MathJax-Span-7718" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⪯</span><span class="mi" id="MathJax-Span-7719" style="font-family: STIXGeneral-Italic; padding-left: 6px;">y</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 17.8px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-423">x \preceq y</script> holds between two events, one taking
+  <p>The precedes relation <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-423-Frame" class="MathJax"><nobr><span id="MathJax-Span-7715" class="math"><span style="display: inline-block; position: relative; width: 38px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.786em, 1000em, 2.951em, -0.553em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7716" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7717" class="mi">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7718" class="mo">⪯</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-7719" class="mi">y</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.997em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-423" type="math/tex">x \preceq y</script> holds between two events, one taking
   place before (or simultaneously with) another.  Since the
   reference semantics assumes that times are linearly ordered and
   event times are 
   mapped to a single time line, this amounts to
-  comparing the event times.  The semantics of strictly precedes (<span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-424-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7720"><span style="display: inline-block; position: relative; width: 40px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.7px 19360px 55px -9.5px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7721"><span class="mi" id="MathJax-Span-7722" style="font-family: STIXGeneral-Italic;">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.1px;"></span></span><span class="mo" id="MathJax-Span-7723" style="font-family: STIXGeneral-Regular; padding-left: 6px;">≺</span><span class="mi" id="MathJax-Span-7724" style="font-family: STIXGeneral-Italic; padding-left: 6px;">y</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 16.3px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-424">x
-  \prec y</script> is similar, only <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-425-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7725"><span style="display: inline-block; position: relative; width: 9px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -9.5px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7726"><span class="mi" id="MathJax-Span-7727" style="font-family: STIXGeneral-Italic;">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.1px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-425">x</script> must take place strictly before <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-426-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7728"><span style="display: inline-block; position: relative; width: 8px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -9.5px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7729"><span class="mi" id="MathJax-Span-7730" style="font-family: STIXGeneral-Italic;">y</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 14.5px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-426">y</script>).</p>
-  <div class="formalism" id="precedes" data-count="29" data-title="Formalism 29 (precedes)"><div class="ruleTitle"><a class="internalDFN" href="#precedes">Formalism 29 (precedes)</a></div>
+  comparing the event times.  The semantics of strictly precedes (<span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-424-Frame" class="MathJax"><nobr><span id="MathJax-Span-7720" class="math"><span style="display: inline-block; position: relative; width: 38px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.863em, 1000em, 2.951em, -0.553em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7721" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7722" class="mi">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7723" class="mo">≺</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-7724" class="mi">y</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.915em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-424" type="math/tex">x
+  \prec y</script> is similar, only <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-425-Frame" class="MathJax"><nobr><span id="MathJax-Span-7725" class="math"><span style="display: inline-block; position: relative; width: 8px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.553em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7726" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7727" class="mi">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.609em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-425" type="math/tex">x</script> must take place strictly before <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-426-Frame" class="MathJax"><nobr><span id="MathJax-Span-7728" class="math"><span style="display: inline-block; position: relative; width: 8px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.951em, -0.55em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7729" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7730" class="mi">y</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.817em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-426" type="math/tex">y</script>).</p>
+  <div data-title="Formalism 29 (precedes)" data-count="29" class="formalism" id="precedes"><div class="ruleTitle"><a href="#precedes" class="internalDFN">Formalism 29 (precedes)</a></div>
     <ol>
-      <li><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-427-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7731"><span style="display: inline-block; position: relative; width: 99px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.2px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7732"><span class="mi" id="MathJax-Span-7733" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-7734" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-7735" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-7736" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-7737" style="font-family: STIXGeneral-Italic; padding-left: 6px;">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.1px;"></span></span><span class="mo" id="MathJax-Span-7738" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⪯</span><span class="mi" id="MathJax-Span-7739" style="font-family: STIXGeneral-Italic; padding-left: 6px;">y</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.8px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-427">W,\rho \models x \preceq y</script> holds if and only if
-      <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-428-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7740"><span style="display: inline-block; position: relative; width: 142px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -9.8px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7741"><span class="mi" id="MathJax-Span-7742" style="font-family: STIXGeneral-Italic;">ρ</span><span class="mo" id="MathJax-Span-7743" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-7744" style="font-family: STIXGeneral-Italic;">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.1px;"></span></span><span class="mo" id="MathJax-Span-7745" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-7746" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-7747" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-7748" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-7749" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-7750" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-7751" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-7752" style="font-family: STIXGeneral-Italic; padding-left: 6px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-7753" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-7754" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7755" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-7756" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7757" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-428">\rho(x),\rho(y) \in Events</script> and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-429-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7758"><span style="display: inline-block; position: relative; width: 176px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.3px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7759"><span class="mi" id="MathJax-Span-7760" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7761" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7762" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-7763" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-7764" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-7765" style="font-family: STIXGeneral-Italic;">ρ</span><span class="mo" id="MathJax-Span-7766" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-7767" style="font-family: STIXGeneral-Italic;">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.1px;"></span></span><span class="mo" id="MathJax-Span-7768" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-7769" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-7770" style="font-family: STIXGeneral-Regular; padding-left: 6px;">≤</span><span class="mi" id="MathJax-Span-7771" style="font-family: STIXGeneral-Italic; padding-left: 6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7772" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7773" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-7774" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-7775" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-7776" style="font-family: STIXGeneral-Italic;">ρ</span><span class="mo" id="MathJax-Span-7777" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-7778" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-7779" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-7780" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-429">time(\rho(x)) \leq time(\rho(y))</script>.</li>
-      <li><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-430-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7781"><span style="display: inline-block; position: relative; width: 99px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.2px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7782"><span class="mi" id="MathJax-Span-7783" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-7784" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-7785" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-7786" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-7787" style="font-family: STIXGeneral-Italic; padding-left: 6px;">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.1px;"></span></span><span class="mo" id="MathJax-Span-7788" style="font-family: STIXGeneral-Regular; padding-left: 6px;">≺</span><span class="mi" id="MathJax-Span-7789" style="font-family: STIXGeneral-Italic; padding-left: 6px;">y</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.8px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-430">W,\rho \models x \prec y</script> holds if and only if
-       <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-431-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7790"><span style="display: inline-block; position: relative; width: 142px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -9.8px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7791"><span class="mi" id="MathJax-Span-7792" style="font-family: STIXGeneral-Italic;">ρ</span><span class="mo" id="MathJax-Span-7793" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-7794" style="font-family: STIXGeneral-Italic;">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.1px;"></span></span><span class="mo" id="MathJax-Span-7795" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-7796" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-7797" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-7798" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-7799" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-7800" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-7801" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-7802" style="font-family: STIXGeneral-Italic; padding-left: 6px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-7803" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-7804" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7805" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-7806" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7807" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-431">\rho(x),\rho(y) \in Events</script> and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-432-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7808"><span style="display: inline-block; position: relative; width: 174px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.3px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7809"><span class="mi" id="MathJax-Span-7810" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7811" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7812" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-7813" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-7814" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-7815" style="font-family: STIXGeneral-Italic;">ρ</span><span class="mo" id="MathJax-Span-7816" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-7817" style="font-family: STIXGeneral-Italic;">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.1px;"></span></span><span class="mo" id="MathJax-Span-7818" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-7819" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-7820" style="font-family: STIXGeneral-Regular; padding-left: 6px;">&lt;</span><span class="mi" id="MathJax-Span-7821" style="font-family: STIXGeneral-Italic; padding-left: 6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7822" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7823" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-7824" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-7825" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-7826" style="font-family: STIXGeneral-Italic;">ρ</span><span class="mo" id="MathJax-Span-7827" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-7828" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-7829" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-7830" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-432">time(\rho(x)) < time(\rho(y))</script>.</li>
+      <li><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-427-Frame" class="MathJax"><nobr><span id="MathJax-Span-7731" class="math"><span style="display: inline-block; position: relative; width: 92px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.951em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7732" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7733" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7734" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-7735" class="mi">ρ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7736" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-7737" class="mi">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7738" class="mo">⪯</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-7739" class="mi">y</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.054em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-427" type="math/tex">W,\rho \models x \preceq y</script> holds if and only if
+      <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-428-Frame" class="MathJax"><nobr><span id="MathJax-Span-7740" class="math"><span style="display: inline-block; position: relative; width: 131px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.951em, -0.566em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7741" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7742" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7743" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7744" class="mi">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7745" class="mo">)</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7746" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-7747" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7748" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7749" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7750" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7751" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-7752" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7753" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7754" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7755" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7756" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7757" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.069em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-428" type="math/tex">\rho(x),\rho(y) \in Events</script> and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-429-Frame" class="MathJax"><nobr><span id="MathJax-Span-7758" class="math"><span style="display: inline-block; position: relative; width: 160px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.951em, -0.488em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7759" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7760" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7761" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7762" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7763" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7764" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7765" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7766" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7767" class="mi">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7768" class="mo">)</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7769" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7770" class="mo">≤</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-7771" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7772" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7773" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7774" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7775" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7776" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7777" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7778" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7779" class="mo">)</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7780" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.069em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-429" type="math/tex">time(\rho(x)) \leq time(\rho(y))</script>.</li>
+      <li><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-430-Frame" class="MathJax"><nobr><span id="MathJax-Span-7781" class="math"><span style="display: inline-block; position: relative; width: 92px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.951em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7782" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7783" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7784" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-7785" class="mi">ρ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7786" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-7787" class="mi">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7788" class="mo">≺</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-7789" class="mi">y</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.054em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-430" type="math/tex">W,\rho \models x \prec y</script> holds if and only if
+       <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-431-Frame" class="MathJax"><nobr><span id="MathJax-Span-7790" class="math"><span style="display: inline-block; position: relative; width: 131px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.951em, -0.566em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7791" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7792" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7793" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7794" class="mi">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7795" class="mo">)</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7796" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-7797" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7798" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7799" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7800" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7801" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-7802" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7803" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7804" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7805" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7806" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7807" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.069em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-431" type="math/tex">\rho(x),\rho(y) \in Events</script> and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-432-Frame" class="MathJax"><nobr><span id="MathJax-Span-7808" class="math"><span style="display: inline-block; position: relative; width: 160px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.951em, -0.488em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7809" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7810" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7811" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7812" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7813" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7814" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7815" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7816" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7817" class="mi">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7818" class="mo">)</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7819" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7820" class="mo">&lt;</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-7821" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7822" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7823" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7824" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7825" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7826" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7827" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7828" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7829" class="mo">)</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7830" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.069em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-432" type="math/tex">time(\rho(x)) < time(\rho(y))</script>.</li>
     </ol>
   </div>
   </section>
   
   <section id="notnull">
   <h4><span class="secno">4.5.3 </span>notNull</h4>
-  <p>The <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-433-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7831"><span style="display: inline-block; position: relative; width: 80px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 54.4px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7832"><span class="mi" id="MathJax-Span-7833" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-7834" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-7835" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7836" style="font-family: STIXGeneral-Italic;">N<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.2px;"></span></span><span class="mi" id="MathJax-Span-7837" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-7838" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-7839" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mo" id="MathJax-Span-7840" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-7841" style="font-family: STIXGeneral-Italic;">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.1px;"></span></span><span class="mo" id="MathJax-Span-7842" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.6px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-433">notNull(x)</script> formula is used to specify that a value may not
-  be the null value <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-434-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7843"><span style="display: inline-block; position: relative; width: 14px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.2px 19360px 51px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7844"><span class="mi" id="MathJax-Span-7845" style="font-family: STIXGeneral-Regular;">⊥</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 14.8px; vertical-align: -1px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-434">\bot</script>.  The symbol <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-435-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7846"><span style="display: inline-block; position: relative; width: 13px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(39.5px 19360px 48.7px -7.8px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7847"><span class="mo" id="MathJax-Span-7848" style="font-family: STIXGeneral-Regular;">−</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 5.2px; vertical-align: 1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-435">-</script> always denotes the null
-  value (i.e. <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-436-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7849"><span style="display: inline-block; position: relative; width: 74px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -9.8px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7850"><span class="mi" id="MathJax-Span-7851" style="font-family: STIXGeneral-Italic;">ρ</span><span class="mo" id="MathJax-Span-7852" style="font-family: STIXGeneral-Regular;">(</span><span class="mo" id="MathJax-Span-7853" style="font-family: STIXGeneral-Regular;">−</span><span class="mo" id="MathJax-Span-7854" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-7855" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-7856" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊥</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-436">\rho(-) = \bot</script>).
-  </p><div class="formalism" id="notNull" data-count="30" data-title="Formalism 30 (notNull)"><div class="ruleTitle"><a class="internalDFN" href="#notNull">Formalism 30 (notNull)</a></div>
-    <p><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-437-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7857"><span style="display: inline-block; position: relative; width: 139px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7858"><span class="mi" id="MathJax-Span-7859" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-7860" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-7861" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-7862" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-7863" style="font-family: STIXGeneral-Italic; padding-left: 6px;">n</span><span class="mi" id="MathJax-Span-7864" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-7865" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7866" style="font-family: STIXGeneral-Italic;">N<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.2px;"></span></span><span class="mi" id="MathJax-Span-7867" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-7868" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-7869" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mo" id="MathJax-Span-7870" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-7871" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-7872" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-437">W,\rho\models notNull(e)</script> holds if and only if <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-438-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7873"><span style="display: inline-block; position: relative; width: 50px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.2px 19360px 54px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7874"><span class="mi" id="MathJax-Span-7875" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-7876" style="font-family: STIXGeneral-Regular; padding-left: 6px;">≠</span><span class="mi" id="MathJax-Span-7877" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊥</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 17.8px; vertical-align: -4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-438">e \neq
+  <p>The <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-433-Frame" class="MathJax"><nobr><span id="MathJax-Span-7831" class="math"><span style="display: inline-block; position: relative; width: 72px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.922em, -0.512em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7832" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7833" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7834" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7835" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7836" class="mi">N<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.06em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7837" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7838" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7839" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7840" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7841" class="mi">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7842" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.045em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-433" type="math/tex">notNull(x)</script> formula is used to specify that a value may not
+  be the null value <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-434-Frame" class="MathJax"><nobr><span id="MathJax-Span-7843" class="math"><span style="display: inline-block; position: relative; width: 12px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.745em, -0.478em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7844" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-7845" class="mi">⊥</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.833em; vertical-align: -0.063em;"></span></span></nobr></span><script id="MathJax-Element-434" type="math/tex">\bot</script>.  The symbol <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-435-Frame" class="MathJax"><nobr><span id="MathJax-Span-7846" class="math"><span style="display: inline-block; position: relative; width: 12px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(2.109em, 1000em, 2.625em, -0.462em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7847" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-7848" class="mo">−</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.303em; vertical-align: 0.066em;"></span></span></nobr></span><script id="MathJax-Element-435" type="math/tex">-</script> always denotes the null
+  value (i.e. <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-436-Frame" class="MathJax"><nobr><span id="MathJax-Span-7849" class="math"><span style="display: inline-block; position: relative; width: 66px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.95em, -0.566em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7850" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7851" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7852" class="mo">(</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7853" class="mo">−</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7854" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7855" class="mo">=</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7856" class="mi">⊥</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.068em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-436" type="math/tex">\rho(-) = \bot</script>).
+  </p><div data-title="Formalism 30 (notNull)" data-count="30" class="formalism" id="notNull"><div class="ruleTitle"><a href="#notNull" class="internalDFN">Formalism 30 (notNull)</a></div>
+    <p><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-437-Frame" class="MathJax"><nobr><span id="MathJax-Span-7857" class="math"><span style="display: inline-block; position: relative; width: 126px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7858" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7859" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7860" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-7861" class="mi">ρ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7862" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-7863" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7864" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7865" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7866" class="mi">N<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.06em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7867" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7868" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7869" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7870" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7871" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7872" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.075em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-437" type="math/tex">W,\rho\models notNull(e)</script> holds if and only if <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-438-Frame" class="MathJax"><nobr><span id="MathJax-Span-7873" class="math"><span style="display: inline-block; position: relative; width: 42px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.901em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7874" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7875" class="mi">e</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7876" class="mo">≠</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7877" class="mi">⊥</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1em; vertical-align: -0.229em;"></span></span></nobr></span><script id="MathJax-Element-438" type="math/tex">e \neq
   \bot</script>.
       </p>
   </div> 
@@ -2080,19 +2080,19 @@
   <section id="typeof">
   <h4><span class="secno">4.5.4 </span>typeOf</h4>
   
-  <p>The typing formula <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-439-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7878"><span style="display: inline-block; position: relative; width: 87px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.3px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7879"><span class="mi" id="MathJax-Span-7880" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7881" style="font-family: STIXGeneral-Italic;">y</span><span class="mi" id="MathJax-Span-7882" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-7883" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7884" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-7885" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-7886" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-7887" style="font-family: STIXGeneral-Italic;">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.1px;"></span></span><span class="mo" id="MathJax-Span-7888" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-7889" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-7890" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-439">typeOf(x,t)</script> constrains the type of the value of
-  <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-440-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7891"><span style="display: inline-block; position: relative; width: 9px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -9.5px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7892"><span class="mi" id="MathJax-Span-7893" style="font-family: STIXGeneral-Italic;">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.1px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-440">x</script>.  </p>
-
-  <div class="formalism" id="typeOf" data-count="31" data-title="Formalism 31 (typeOf)"><div class="ruleTitle"><a class="internalDFN" href="#typeOf">Formalism 31 (typeOf)</a></div>
-    <ol><li><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-441-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7894"><span style="display: inline-block; position: relative; width: 183px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7895"><span class="mi" id="MathJax-Span-7896" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-7897" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-7898" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-7899" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-7900" style="font-family: STIXGeneral-Italic; padding-left: 6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7901" style="font-family: STIXGeneral-Italic;">y</span><span class="mi" id="MathJax-Span-7902" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-7903" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7904" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-7905" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-7906" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-7907" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-7908" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-7909" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mi" id="MathJax-Span-7910" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-7911" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7912" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7913" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7914" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-7915" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-441">W,\rho\models typeOf(e,entity)</script> holds if and only if
-      <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-442-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7916"><span style="display: inline-block; position: relative; width: 111px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -9.8px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7917"><span class="mi" id="MathJax-Span-7918" style="font-family: STIXGeneral-Italic;">ρ</span><span class="mo" id="MathJax-Span-7919" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-7920" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-7921" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-7922" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-7923" style="font-family: STIXGeneral-Italic; padding-left: 6px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-7924" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-7925" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7926" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7927" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7928" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7929" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7930" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-442">\rho(e) \in Entities</script>.</li>
-      <li><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-443-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7931"><span style="display: inline-block; position: relative; width: 198px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7932"><span class="mi" id="MathJax-Span-7933" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-7934" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-7935" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-7936" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-7937" style="font-family: STIXGeneral-Italic; padding-left: 6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7938" style="font-family: STIXGeneral-Italic;">y</span><span class="mi" id="MathJax-Span-7939" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-7940" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7941" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-7942" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-7943" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-7944" style="font-family: STIXGeneral-Italic;">a</span><span class="mo" id="MathJax-Span-7945" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-7946" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-7947" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-7948" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7949" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7950" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-7951" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7952" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7953" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-7954" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-443">W,\rho\models typeOf(a,activity)</script> holds if and only if
-      <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-444-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7955"><span style="display: inline-block; position: relative; width: 124px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -9.8px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7956"><span class="mi" id="MathJax-Span-7957" style="font-family: STIXGeneral-Italic;">ρ</span><span class="mo" id="MathJax-Span-7958" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-7959" style="font-family: STIXGeneral-Italic;">a</span><span class="mo" id="MathJax-Span-7960" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-7961" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-7962" style="font-family: STIXGeneral-Italic; padding-left: 6px;">A</span><span class="mi" id="MathJax-Span-7963" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-7964" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7965" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7966" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-7967" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7968" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7969" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-7970" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7971" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-444">\rho(a) \in Activities</script>.</li>
-      <li><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-445-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7972"><span style="display: inline-block; position: relative; width: 196px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7973"><span class="mi" id="MathJax-Span-7974" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-7975" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-7976" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-7977" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-7978" style="font-family: STIXGeneral-Italic; padding-left: 6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-7979" style="font-family: STIXGeneral-Italic;">y</span><span class="mi" id="MathJax-Span-7980" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-7981" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7982" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-7983" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-7984" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-7985" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-7986" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-7987" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-7988" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-7989" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-7990" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-7991" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-7992" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-7993" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-445">W,\rho\models typeOf(ag,agent)</script> holds if and only if
-      <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-446-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-7994"><span style="display: inline-block; position: relative; width: 118px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -9.8px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-7995"><span class="mi" id="MathJax-Span-7996" style="font-family: STIXGeneral-Italic;">ρ</span><span class="mo" id="MathJax-Span-7997" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-7998" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-7999" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-8000" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-8001" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-8002" style="font-family: STIXGeneral-Italic; padding-left: 6px;">A</span><span class="mi" id="MathJax-Span-8003" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-8004" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-8005" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-8006" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8007" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-446">\rho(ag) \in Agents</script>.</li>
-      <li><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-447-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-8008"><span style="display: inline-block; position: relative; width: 274px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-8009"><span class="mi" id="MathJax-Span-8010" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-8011" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-8012" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-8013" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-8014" style="font-family: STIXGeneral-Italic; padding-left: 6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8015" style="font-family: STIXGeneral-Italic;">y</span><span class="mi" id="MathJax-Span-8016" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-8017" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-8018" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-8019" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-8020" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-8021" style="font-family: STIXGeneral-Italic;">c</span><span class="mo" id="MathJax-Span-8022" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-8023" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">p</span><span class="mi" id="MathJax-Span-8024" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-8025" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-8026" style="font-family: STIXGeneral-Italic;">v</span><span class="mo" id="MathJax-Span-8027" style="font-family: STIXGeneral-Regular; padding-left: 6px;">:</span><span class="mi" id="MathJax-Span-8028" style="font-family: STIXGeneral-Italic; padding-left: 6px;">C<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-8029" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-8030" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-8031" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-8032" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-8033" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-8034" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8035" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-8036" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-8037" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-8038" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-447">W,\rho\models typeOf(c,prov:Collection)</script> holds if and only if
+  <p>The typing formula <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-439-Frame" class="MathJax"><nobr><span id="MathJax-Span-7878" class="math"><span style="display: inline-block; position: relative; width: 80px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.717em, 1000em, 2.952em, -0.488em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7879" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7880" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7881" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7882" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7883" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7884" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7885" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7886" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7887" class="mi">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7888" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-7889" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7890" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.072em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-439" type="math/tex">typeOf(x,t)</script> constrains the type of the value of
+  <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-440-Frame" class="MathJax"><nobr><span id="MathJax-Span-7891" class="math"><span style="display: inline-block; position: relative; width: 8px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.553em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7892" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7893" class="mi">x<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.609em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-440" type="math/tex">x</script>.  </p>
+
+  <div data-title="Formalism 31 (typeOf)" data-count="31" class="formalism" id="typeOf"><div class="ruleTitle"><a href="#typeOf" class="internalDFN">Formalism 31 (typeOf)</a></div>
+    <ol><li><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-441-Frame" class="MathJax"><nobr><span id="MathJax-Span-7894" class="math"><span style="display: inline-block; position: relative; width: 168px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.717em, 1000em, 2.952em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7895" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7896" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7897" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-7898" class="mi">ρ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7899" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-7900" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7901" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7902" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7903" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7904" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7905" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7906" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7907" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7908" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-7909" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7910" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7911" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7912" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7913" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7914" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7915" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.072em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-441" type="math/tex">W,\rho\models typeOf(e,entity)</script> holds if and only if
+      <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-442-Frame" class="MathJax"><nobr><span id="MathJax-Span-7916" class="math"><span style="display: inline-block; position: relative; width: 103px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.95em, -0.566em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7917" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7918" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7919" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7920" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7921" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7922" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-7923" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7924" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7925" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7926" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7927" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7928" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7929" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7930" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.068em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-442" type="math/tex">\rho(e) \in Entities</script>.</li>
+      <li><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-443-Frame" class="MathJax"><nobr><span id="MathJax-Span-7931" class="math"><span style="display: inline-block; position: relative; width: 181px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.717em, 1000em, 2.952em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7932" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7933" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7934" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-7935" class="mi">ρ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7936" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-7937" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7938" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7939" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7940" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7941" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7942" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7943" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7944" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7945" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-7946" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7947" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7948" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7949" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7950" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7951" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7952" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7953" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7954" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.072em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-443" type="math/tex">W,\rho\models typeOf(a,activity)</script> holds if and only if
+      <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-444-Frame" class="MathJax"><nobr><span id="MathJax-Span-7955" class="math"><span style="display: inline-block; position: relative; width: 115px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.95em, -0.566em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7956" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7957" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7958" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7959" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7960" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7961" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-7962" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7963" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7964" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7965" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7966" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7967" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7968" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7969" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7970" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7971" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.068em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-444" type="math/tex">\rho(a) \in Activities</script>.</li>
+      <li><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-445-Frame" class="MathJax"><nobr><span id="MathJax-Span-7972" class="math"><span style="display: inline-block; position: relative; width: 176px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.717em, 1000em, 2.952em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7973" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7974" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7975" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-7976" class="mi">ρ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-7977" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-7978" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7979" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7980" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7981" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7982" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7983" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7984" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7985" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7986" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7987" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-7988" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7989" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7990" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7991" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7992" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-7993" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.072em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-445" type="math/tex">W,\rho\models typeOf(ag,agent)</script> holds if and only if
+      <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-446-Frame" class="MathJax"><nobr><span id="MathJax-Span-7994" class="math"><span style="display: inline-block; position: relative; width: 105px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.951em, -0.566em); top: -2.57em; left: 0em;"><span id="MathJax-Span-7995" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7996" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-7997" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7998" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-7999" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8000" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-8001" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-8002" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8003" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8004" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8005" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8006" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8007" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.069em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-446" type="math/tex">\rho(ag) \in Agents</script>.</li>
+      <li><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-447-Frame" class="MathJax"><nobr><span id="MathJax-Span-8008" class="math"><span style="display: inline-block; position: relative; width: 249px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-8009" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8010" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8011" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-8012" class="mi">ρ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-8013" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-8014" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8015" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8016" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8017" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8018" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8019" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8020" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8021" class="mi">c</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8022" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-8023" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8024" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8025" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8026" class="mi">v</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-8027" class="mo">:</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-8028" class="mi">C<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.022em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8029" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8030" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8031" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8032" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8033" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8034" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8035" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8036" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8037" class="mi">n</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8038" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-447" type="math/tex">W,\rho\models typeOf(c,prov:Collection)</script> holds if and only if
       TODO.</li>
-      <li><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-448-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-8039"><span style="display: inline-block; position: relative; width: 324px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-8040"><span class="mi" id="MathJax-Span-8041" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-8042" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-8043" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-8044" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-8045" style="font-family: STIXGeneral-Italic; padding-left: 6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8046" style="font-family: STIXGeneral-Italic;">y</span><span class="mi" id="MathJax-Span-8047" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-8048" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-8049" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-8050" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-8051" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-8052" style="font-family: STIXGeneral-Italic;">c</span><span class="mo" id="MathJax-Span-8053" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-8054" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">p</span><span class="mi" id="MathJax-Span-8055" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-8056" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-8057" style="font-family: STIXGeneral-Italic;">v</span><span class="mo" id="MathJax-Span-8058" style="font-family: STIXGeneral-Regular; padding-left: 6px;">:</span><span class="mi" id="MathJax-Span-8059" style="font-family: STIXGeneral-Italic; padding-left: 6px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-8060" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-8061" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-8062" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8063" style="font-family: STIXGeneral-Italic;">y</span><span class="mi" id="MathJax-Span-8064" style="font-family: STIXGeneral-Italic;">C<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-8065" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-8066" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-8067" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-8068" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-8069" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-8070" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8071" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-8072" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-8073" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-8074" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-448">W,\rho\models typeOf(c,prov:EmptyCollection)</script> holds if and only if
+      <li><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-448-Frame" class="MathJax"><nobr><span id="MathJax-Span-8039" class="math"><span style="display: inline-block; position: relative; width: 293px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-8040" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8041" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8042" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-8043" class="mi">ρ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-8044" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-8045" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8046" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8047" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8048" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8049" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8050" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8051" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8052" class="mi">c</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8053" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-8054" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8055" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8056" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8057" class="mi">v</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-8058" class="mo">:</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-8059" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8060" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8061" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8062" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8063" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8064" class="mi">C<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.022em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8065" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8066" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8067" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8068" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8069" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8070" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8071" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8072" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8073" class="mi">n</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8074" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-448" type="math/tex">W,\rho\models typeOf(c,prov:EmptyCollection)</script> holds if and only if
       TODO.</li>
       </ol>
       
@@ -2119,7 +2119,7 @@
 <section id="inferences">
 <h3><span class="secno">5.1 </span>Inferences</h3>
 
-<div class="inference" number="5" id="communication-generation-use-inference"><div class="ruleTitle"><a class="internalDFN" href="#communication-generation-use-inference">Inference 5 (communication-generation-use-inference)</a></div><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-449-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-8075"><span style="display: inline-block; position: relative; width: 631px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 98.8px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-8076"><span class="mtable" id="MathJax-Span-8077" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 625px; height: 0px;"><span style="position: absolute; clip: rect(70.8px 19360px 144.8px -9px); top: -87px; left: 0px;"><span style="display: inline-block; position: relative; width: 625px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 53.9px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-8078"><span class="mrow" id="MathJax-Span-8079"><span class="mi" id="MathJax-Span-8080" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-8081" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-8082" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-8083" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8084" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8085" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-8086" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8087" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8088" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8089" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-8090" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8091" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-8092" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-8093" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8094" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8095" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-8096" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-8097" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-8098" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -23.2px; left: 0px;"><span class="mtd" id="MathJax-Span-8099"><span class="mrow" id="MathJax-Span-8100"><span class="mspace" id="MathJax-Span-8101" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-8102" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-8103" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-8104" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-8105" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span class="mi" id="MathJax-Span-8106" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-8107" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-8108" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-8109" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-8110" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-8111" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-8112" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-8113" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-8114" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-8115" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-8116" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-8117" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-8118" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8119" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8120" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-8121" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8122" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8123" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8124" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-8125" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8126" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-8127" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-8128" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8129" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8130" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-8131" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-8132" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.8px 19360px 56px -9px); top: 1.8px; left: 0px;"><span class="mtd" id="MathJax-Span-8133"><span class="mrow" id="MathJax-Span-8134"><span class="mspace" id="MathJax-Span-8135" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-8136" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-8137" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∃</span><span class="mi" id="MathJax-Span-8138" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-8139" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-8140" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">g</span><span class="mi" id="MathJax-Span-8141" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-8142" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-8143" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8144" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8145" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-8146" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8147" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-8148" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">u</span><span class="mi" id="MathJax-Span-8149" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-8150" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-8151" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8152" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8153" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-8154" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8155" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-8156" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span><span class="mi" id="MathJax-Span-8157" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-8158" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-8159" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-8160" style="font-family: STIXGeneral-Italic;">G</span><span class="mi" id="MathJax-Span-8161" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-8162" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-8163" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-8164" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; 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padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-8177" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8178" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8179" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-8180" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8181" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8182" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8183" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-8184" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8185" style="font-family: STIXGeneral-Regular;">,</span><span class="mo" id="MathJax-Span-8186" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">[</span><span class="mo" id="MathJax-Span-8187" style="font-family: STIXGeneral-Regular;">]</span><span class="mo" id="MathJax-Span-8188" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-8189" style="font-family: STIXGeneral-Regular; 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position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8200" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-8201" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8202" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-8203" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-8204" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8205" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8206" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-8207" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8208" style="font-family: STIXGeneral-Regular;">,</span><span class="mo" id="MathJax-Span-8209" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">[</span><span class="mo" id="MathJax-Span-8210" style="font-family: STIXGeneral-Regular;">]</span><span class="mo" id="MathJax-Span-8211" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 87px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 72.3px; vertical-align: -55.8px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-449">\begin{array}[t]{l}
+<div class="inference" number="5" id="communication-generation-use-inference"><div class="ruleTitle"><a href="#communication-generation-use-inference" class="internalDFN">Inference 5 (communication-generation-use-inference)</a></div><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-449-Frame" class="MathJax"><nobr><span id="MathJax-Span-8075" class="math"><span style="display: inline-block; position: relative; width: 573px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.049em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-8076" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-8077" class="mtable"><span style="display: inline-block; position: relative; width: 33.119em; height: 0px;"><span style="position: absolute; clip: rect(3.639em, 1000em, 7.502em, -0.526em); top: -4.498em; left: 0em;"><span style="display: inline-block; position: relative; width: 33.119em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.895em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-8078" class="mtd"><span id="MathJax-Span-8079" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-8080" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8081" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8082" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8083" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8084" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8085" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8086" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8087" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8088" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8089" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8090" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8091" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-8092" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8093" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8094" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8095" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8096" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8097" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-8098" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.526em); top: -1.287em; left: 0em;"><span id="MathJax-Span-8099" class="mtd"><span id="MathJax-Span-8100" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-8101" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8102" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8103" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8104" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8105" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8106" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8107" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8108" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8109" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8110" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8111" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8112" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8113" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8114" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8115" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8116" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8117" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8118" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8119" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8120" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8121" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8122" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8123" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8124" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8125" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8126" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-8127" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8128" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8129" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8130" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8131" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8132" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: 0.053em; left: 0em;"><span id="MathJax-Span-8133" class="mtd"><span id="MathJax-Span-8134" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-8135" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8136" class="mo">⇒</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-8137" class="mi">∃</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8138" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8139" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-8140" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8141" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8142" class="mi">n</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8143" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8144" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8145" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8146" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8147" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-8148" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8149" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8150" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8151" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8152" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8153" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8154" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8155" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-8156" class="mtext">&nbsp;</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8157" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8158" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8159" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8160" class="mi">G</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8161" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8162" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8163" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8164" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8165" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8166" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8167" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8168" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8169" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8170" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8171" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8172" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8173" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8174" class="mi">n</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8175" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-8176" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8177" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8178" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8179" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8180" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8181" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8182" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8183" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8184" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8185" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-8186" class="mo">[</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8187" class="mo">]</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8188" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-8189" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-8190" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8191" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8192" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8193" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8194" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8195" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8196" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8197" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8198" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8199" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8200" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8201" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8202" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-8203" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8204" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8205" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8206" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8207" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8208" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-8209" class="mo">[</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8210" class="mo">]</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8211" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.498em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 4.008em; vertical-align: -3.09em;"></span></span></nobr></span><script id="MathJax-Element-449" type="math/tex">\begin{array}[t]{l}
 \forall id,a_2,a_1,attrs.~
 \\
 \qquad wasInformedBy(id,a_2,a_1,attrs)
@@ -2127,7 +2127,7 @@
 \quad\Rightarrow
 \exists e,gen,t_1,use,t_2.~wasGeneratedBy(gen,e,a_1,t_1,[]) \wedge used(use,a_2,e,t_2,[])
 \end{array}</script></div>
-<div class="inference" number="6" id="generation-use-communication-inference"><div class="ruleTitle"><a class="internalDFN" href="#generation-use-communication-inference">Inference 6 (generation-use-communication-inference)</a></div><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-450-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-8212"><span style="display: inline-block; position: relative; width: 544px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 99.9px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-8213"><span class="mtable" id="MathJax-Span-8214" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 538px; height: 0px;"><span style="position: absolute; clip: rect(71.8px 19360px 146.9px -9px); top: -88px; left: 0px;"><span style="display: inline-block; position: relative; width: 538px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-8215"><span class="mrow" id="MathJax-Span-8216"><span class="mi" id="MathJax-Span-8217" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-8218" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-8219" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-8220" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-8221" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-8222" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-8223" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8224" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8225" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-8226" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8227" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8228" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8229" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-8230" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8231" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-8232" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-8233" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8234" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8235" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-8236"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8237" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-8238" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8239" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-8240" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">i</span><span class="msubsup" id="MathJax-Span-8241"><span style="display: inline-block; position: relative; width: 18.9px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8242" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10.5px;"><span class="mn" id="MathJax-Span-8243" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8244" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8245" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8246" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-8247" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8248" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8249" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8250" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-8251" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8252" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-8253" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-8254" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8255" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8256" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-8257"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8258" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-8259" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8260" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-8261" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -22.1px; left: 0px;"><span class="mtd" id="MathJax-Span-8262"><span class="mrow" id="MathJax-Span-8263"><span class="mspace" id="MathJax-Span-8264" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-8265" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-8266" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-8267" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-8268" style="font-family: STIXGeneral-Italic;">G</span><span class="mi" id="MathJax-Span-8269" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-8270" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-8271" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-8272" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-8273" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-8274" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; 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padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-8285" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8286" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8287" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-8288" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8289" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8290" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8291" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-8292" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8293" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-8294" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-8295" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8296" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8297" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-8298"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8299" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-8300" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8301" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-8302" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-8303" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">u</span><span class="mi" id="MathJax-Span-8304" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-8305" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-8306" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-8307" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-8308" style="font-family: STIXGeneral-Italic;">i</span><span class="msubsup" id="MathJax-Span-8309"><span style="display: inline-block; position: relative; width: 18.9px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8310" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10.5px;"><span class="mn" id="MathJax-Span-8311" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8312" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8313" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8314" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-8315" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8316" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-8317" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-8318" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8319" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8320" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-8321" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8322" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-8323" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-8324" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8325" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8326" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-8327"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8328" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-8329" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8330" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.8px 19360px 56px -9px); top: 2.8px; left: 0px;"><span class="mtd" id="MathJax-Span-8331"><span class="mrow" id="MathJax-Span-8332"><span class="mspace" id="MathJax-Span-8333" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-8334" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-8335" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∃</span><span class="mi" id="MathJax-Span-8336" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-8337" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-8338" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-8339" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span><span class="mi" id="MathJax-Span-8340" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-8341" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-8342" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-8343" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span class="mi" id="MathJax-Span-8344" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-8345" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; 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overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-8356" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8357" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8358" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-8359" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8360" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8361" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8362" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-8363" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8364" style="font-family: STIXGeneral-Regular;">,</span><span class="mo" id="MathJax-Span-8365" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">[</span><span class="mo" id="MathJax-Span-8366" style="font-family: STIXGeneral-Regular;">]</span><span class="mo" id="MathJax-Span-8367" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; 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+<div class="inference" number="6" id="generation-use-communication-inference"><div class="ruleTitle"><a href="#generation-use-communication-inference" class="internalDFN">Inference 6 (generation-use-communication-inference)</a></div><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-450-Frame" class="MathJax"><nobr><span id="MathJax-Span-8212" class="math"><span style="display: inline-block; position: relative; width: 493px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.105em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-8213" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-8214" class="mtable"><span style="display: inline-block; position: relative; width: 28.446em; height: 0px;"><span style="position: absolute; clip: rect(3.698em, 1000em, 7.616em, -0.526em); top: -4.556em; left: 0em;"><span style="display: inline-block; position: relative; width: 28.446em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-8215" class="mtd"><span id="MathJax-Span-8216" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-8217" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8218" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8219" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8220" class="mi">n</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8221" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-8222" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8223" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8224" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8225" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8226" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8227" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8228" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8229" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8230" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8231" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-8232" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8233" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8234" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8235" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-8236" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8237" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8238" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8239" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-8240" class="mi">i</span><span id="MathJax-Span-8241" class="msubsup"><span style="display: inline-block; position: relative; width: 0.924em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.511em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8242" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.499em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8243" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8244" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8245" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8246" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8247" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8248" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8249" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8250" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8251" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8252" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-8253" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8254" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8255" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8256" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-8257" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8258" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8259" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8260" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-8261" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: -1.231em; left: 0em;"><span id="MathJax-Span-8262" class="mtd"><span id="MathJax-Span-8263" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-8264" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8265" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8266" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8267" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8268" class="mi">G</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8269" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8270" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8271" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8272" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8273" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8274" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8275" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8276" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8277" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8278" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8279" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8280" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8281" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8282" class="mi">n</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8283" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-8284" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8285" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8286" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8287" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8288" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8289" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8290" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8291" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8292" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8293" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-8294" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8295" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8296" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8297" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-8298" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8299" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8300" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8301" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-8302" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-8303" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8304" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8305" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8306" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8307" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8308" class="mi">i</span><span id="MathJax-Span-8309" class="msubsup"><span style="display: inline-block; position: relative; width: 0.924em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.511em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8310" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.499em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8311" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8312" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8313" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8314" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8315" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8316" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-8317" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8318" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8319" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8320" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8321" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8322" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-8323" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8324" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8325" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8326" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-8327" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8328" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8329" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8330" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.526em); top: 0.108em; left: 0em;"><span id="MathJax-Span-8331" class="mtd"><span id="MathJax-Span-8332" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-8333" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8334" class="mo">⇒</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-8335" class="mi">∃</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8336" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8337" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8338" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-8339" class="mtext">&nbsp;</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8340" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8341" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8342" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8343" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8344" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8345" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8346" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8347" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8348" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8349" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8350" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8351" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8352" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8353" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8354" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8355" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8356" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8357" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8358" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8359" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8360" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8361" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8362" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8363" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8364" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-8365" class="mo">[</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8366" class="mo">]</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8367" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.556em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 4.068em; vertical-align: -3.149em;"></span></span></nobr></span><script id="MathJax-Element-450" type="math/tex">\begin{array}[t]{l}
 \forall gen,e,a_1,t_1,attrs_1,id_2,a_2,t_2,attrs_2.~
 \\
 \qquad wasGeneratedBy(gen,e,a_1,t_1,attrs_1) \wedge used(id_2,a_2,e,t_2,attrs_2)
@@ -2135,7 +2135,7 @@
 \quad\Rightarrow
 \exists id.~wasInformedBy(id,a_2,a_1,[])
 \end{array}</script></div>
-<div class="inference" number="7" id="entity-generation-invalidation-inference"><div class="ruleTitle"><a class="internalDFN" href="#entity-generation-invalidation-inference">Inference 7 (entity-generation-invalidation-inference)</a></div><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-451-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-8368"><span style="display: inline-block; position: relative; width: 768px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 98.4px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-8369"><span class="mtable" id="MathJax-Span-8370" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 762px; height: 0px;"><span style="position: absolute; clip: rect(71.2px 19360px 144.4px -9px); top: -87px; left: 0px;"><span style="display: inline-block; position: relative; width: 762px; height: 0px;"><span style="position: absolute; clip: rect(32.2px 19360px 53.7px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-8371"><span class="mrow" id="MathJax-Span-8372"><span class="mi" id="MathJax-Span-8373" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-8374" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-8375" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-8376" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-8377" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8378" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8379" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-8380" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-8381" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-8382" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.9px 19360px 55px -9px); top: -23.5px; left: 0px;"><span class="mtd" id="MathJax-Span-8383"><span class="mrow" id="MathJax-Span-8384"><span class="mspace" id="MathJax-Span-8385" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-8386" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-8387" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-8388" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8389" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-8390" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8391" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-8392" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-8393" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-8394" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-8395" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-8396" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8397" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8398" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-8399" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-8400" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.8px 19360px 56px -9px); top: 1.5px; left: 0px;"><span class="mtd" id="MathJax-Span-8401"><span class="mrow" id="MathJax-Span-8402"><span class="mspace" id="MathJax-Span-8403" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-8404" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-8405" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∃</span><span class="mi" id="MathJax-Span-8406" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-8407" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-8408" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-8409" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8410" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8411" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-8412" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8413" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8414" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8415" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-8416" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8417" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-8418" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">i</span><span class="mi" id="MathJax-Span-8419" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-8420" style="font-family: STIXGeneral-Italic;">v</span><span class="mo" id="MathJax-Span-8421" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8422" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8423" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-8424" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8425" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8426" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8427" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-8428" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8429" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-8430" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span><span class="mi" id="MathJax-Span-8431" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-8432" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-8433" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-8434" style="font-family: STIXGeneral-Italic;">G</span><span class="mi" id="MathJax-Span-8435" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-8436" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-8437" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-8438" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-8439" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-8440" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8441" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-8442" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-8443" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-8444" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-8445" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-8446" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-8447" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-8448" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-8449" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-8450" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-8451" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8452" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8453" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-8454" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8455" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8456" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8457" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-8458" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8459" style="font-family: STIXGeneral-Regular;">,</span><span class="mo" id="MathJax-Span-8460" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">[</span><span class="mo" id="MathJax-Span-8461" style="font-family: STIXGeneral-Regular;">]</span><span class="mo" id="MathJax-Span-8462" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-8463" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-8464" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-8465" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-8466" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-8467" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span class="mi" id="MathJax-Span-8468" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-8469" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-8470" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-8471" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-8472" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-8473" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-8474" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-8475" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8476" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-8477" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-8478" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-8479" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-8480" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-8481" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-8482" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-8483" style="font-family: STIXGeneral-Italic;">v</span><span class="mo" id="MathJax-Span-8484" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-8485" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-8486" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8487" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8488" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-8489" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8490" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8491" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8492" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-8493" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8494" style="font-family: STIXGeneral-Regular;">,</span><span class="mo" id="MathJax-Span-8495" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">[</span><span class="mo" id="MathJax-Span-8496" style="font-family: STIXGeneral-Regular;">]</span><span class="mo" id="MathJax-Span-8497" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 87px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 71.9px; vertical-align: -55.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-451">\begin{array}[t]{l}
+<div class="inference" number="7" id="entity-generation-invalidation-inference"><div class="ruleTitle"><a href="#entity-generation-invalidation-inference" class="internalDFN">Inference 7 (entity-generation-invalidation-inference)</a></div><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-451-Frame" class="MathJax"><nobr><span id="MathJax-Span-8368" class="math"><span style="display: inline-block; position: relative; width: 693px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.032em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-8369" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-8370" class="mtable"><span style="display: inline-block; position: relative; width: 40.129em; height: 0px;"><span style="position: absolute; clip: rect(3.66em, 1000em, 7.485em, -0.526em); top: -4.498em; left: 0em;"><span style="display: inline-block; position: relative; width: 40.129em; height: 0px;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.886em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-8371" class="mtd"><span id="MathJax-Span-8372" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-8373" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8374" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8375" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-8376" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8377" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8378" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8379" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8380" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8381" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-8382" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.719em, 1000em, 2.951em, -0.526em); top: -1.303em; left: 0em;"><span id="MathJax-Span-8383" class="mtd"><span id="MathJax-Span-8384" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-8385" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8386" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8387" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8388" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8389" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8390" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8391" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8392" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8393" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8394" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-8395" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8396" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8397" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8398" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8399" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8400" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: 0.036em; left: 0em;"><span id="MathJax-Span-8401" class="mtd"><span id="MathJax-Span-8402" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-8403" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8404" class="mo">⇒</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-8405" class="mi">∃</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8406" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8407" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8408" class="mi">n</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8409" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8410" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8411" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8412" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8413" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8414" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8415" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8416" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8417" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-8418" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8419" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8420" class="mi">v</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8421" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8422" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8423" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8424" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8425" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8426" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8427" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8428" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8429" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-8430" class="mtext">&nbsp;</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8431" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8432" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8433" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8434" class="mi">G</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8435" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8436" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8437" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8438" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8439" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8440" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8441" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8442" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8443" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8444" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8445" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8446" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8447" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8448" class="mi">n</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8449" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-8450" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8451" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8452" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8453" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8454" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8455" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8456" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8457" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8458" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8459" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-8460" class="mo">[</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8461" class="mo">]</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8462" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-8463" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-8464" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8465" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8466" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8467" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8468" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8469" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8470" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8471" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8472" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8473" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8474" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8475" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8476" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8477" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8478" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8479" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8480" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8481" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8482" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8483" class="mi">v</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8484" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-8485" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8486" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8487" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8488" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8489" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8490" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8491" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8492" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8493" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8494" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-8495" class="mo">[</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8496" class="mo">]</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8497" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.498em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 3.99em; vertical-align: -3.071em;"></span></span></nobr></span><script id="MathJax-Element-451" type="math/tex">\begin{array}[t]{l}
 \forall e,attrs.~
 \\
 \qquad entity(e,attrs)
@@ -2143,7 +2143,7 @@
 \quad\Rightarrow
 \exists gen,a_1,t_1,inv,a_2,t_2.~wasGeneratedBy(gen,e,a_1,t_1,[]) \wedge wasInvalidatedBy(inv,e,a_2,t_2,[])
 \end{array}</script></div>
-<div class="inference" number="8" id="activity-start-end-inference"><div class="ruleTitle"><a class="internalDFN" href="#activity-start-end-inference">Inference 8 (activity-start-end-inference)</a></div><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-452-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-8498"><span style="display: inline-block; position: relative; width: 789px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 98.6px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-8499"><span class="mtable" id="MathJax-Span-8500" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 783px; height: 0px;"><span style="position: absolute; clip: rect(71.2px 19360px 144.6px -9px); top: -87px; left: 0px;"><span style="display: inline-block; position: relative; width: 783px; height: 0px;"><span style="position: absolute; clip: rect(32.2px 19360px 53.9px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-8501"><span class="mrow" id="MathJax-Span-8502"><span class="mi" id="MathJax-Span-8503" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-8504" style="font-family: STIXGeneral-Italic;">a</span><span class="mo" id="MathJax-Span-8505" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8506" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8507" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-8508" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8509" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8510" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8511" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-8512" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8513" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-8514" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-8515" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8516" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8517" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-8518" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-8519" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-8520" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.9px 19360px 55px -9px); top: -23.3px; left: 0px;"><span class="mtd" id="MathJax-Span-8521"><span class="mrow" id="MathJax-Span-8522"><span class="mspace" id="MathJax-Span-8523" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-8524" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-8525" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-8526" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8527" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-8528" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-8529" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-8530" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8531" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-8532" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-8533" style="font-family: STIXGeneral-Italic;">a</span><span class="mo" id="MathJax-Span-8534" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8535" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8536" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-8537" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8538" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8539" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8540" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-8541" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8542" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-8543" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-8544" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8545" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8546" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-8547" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-8548" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.8px 19360px 56px -9px); top: 1.6px; left: 0px;"><span class="mtd" id="MathJax-Span-8549"><span class="mrow" id="MathJax-Span-8550"><span class="mspace" id="MathJax-Span-8551" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-8552" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-8553" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∃</span><span class="mi" id="MathJax-Span-8554" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-8555" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8556" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-8557" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-8558" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-8559" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8560" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8561" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-8562" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8563" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8564" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8565" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-8566" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8567" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-8568" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mi" id="MathJax-Span-8569" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-8570" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-8571" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8572" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8573" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-8574" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8575" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8576" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8577" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-8578" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8579" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-8580" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span><span class="mi" id="MathJax-Span-8581" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-8582" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-8583" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-8584" style="font-family: STIXGeneral-Italic;">S<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.2px;"></span></span><span class="mi" id="MathJax-Span-8585" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8586" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-8587" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-8588" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8589" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-8590" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-8591" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-8592" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-8593" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-8594" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-8595" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8596" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-8597" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-8598" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-8599" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-8600" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-8601" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8602" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8603" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-8604" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8605" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8606" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8607" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-8608" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8609" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8610" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8611" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-8612" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8613" style="font-family: STIXGeneral-Regular;">,</span><span class="mo" id="MathJax-Span-8614" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">[</span><span class="mo" id="MathJax-Span-8615" style="font-family: STIXGeneral-Regular;">]</span><span class="mo" id="MathJax-Span-8616" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-8617" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-8618" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-8619" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-8620" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-8621" style="font-family: STIXGeneral-Italic;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-8622" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-8623" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-8624" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-8625" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-8626" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-8627" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-8628" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-8629" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-8630" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-8631" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-8632" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-8633" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-8634" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8635" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8636" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-8637" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8638" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8639" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8640" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-8641" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8642" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8643" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8644" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-8645" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8646" style="font-family: STIXGeneral-Regular;">,</span><span class="mo" id="MathJax-Span-8647" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">[</span><span class="mo" id="MathJax-Span-8648" style="font-family: STIXGeneral-Regular;">]</span><span class="mo" id="MathJax-Span-8649" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 87px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 72.1px; vertical-align: -55.6px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-452">\begin{array}[t]{l}
+<div class="inference" number="8" id="activity-start-end-inference"><div class="ruleTitle"><a href="#activity-start-end-inference" class="internalDFN">Inference 8 (activity-start-end-inference)</a></div><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-452-Frame" class="MathJax"><nobr><span id="MathJax-Span-8498" class="math"><span style="display: inline-block; position: relative; width: 716px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.041em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-8499" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-8500" class="mtable"><span style="display: inline-block; position: relative; width: 41.472em; height: 0px;"><span style="position: absolute; clip: rect(3.66em, 1000em, 7.494em, -0.526em); top: -4.498em; left: 0em;"><span style="display: inline-block; position: relative; width: 41.472em; height: 0px;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.895em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-8501" class="mtd"><span id="MathJax-Span-8502" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-8503" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8504" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8505" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8506" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8507" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8508" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8509" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8510" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8511" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8512" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8513" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-8514" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8515" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8516" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8517" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8518" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8519" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-8520" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.719em, 1000em, 2.951em, -0.526em); top: -1.294em; left: 0em;"><span id="MathJax-Span-8521" class="mtd"><span id="MathJax-Span-8522" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-8523" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8524" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8525" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8526" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8527" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8528" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8529" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8530" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8531" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8532" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8533" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8534" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8535" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8536" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8537" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8538" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8539" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8540" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8541" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8542" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-8543" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8544" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8545" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8546" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8547" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8548" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: 0.045em; left: 0em;"><span id="MathJax-Span-8549" class="mtd"><span id="MathJax-Span-8550" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-8551" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8552" class="mo">⇒</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-8553" class="mi">∃</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8554" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8555" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8556" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8557" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8558" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8559" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8560" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8561" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8562" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8563" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8564" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8565" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8566" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8567" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-8568" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8569" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8570" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8571" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8572" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8573" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8574" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8575" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8576" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8577" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8578" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8579" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-8580" class="mtext">&nbsp;</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8581" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8582" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8583" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8584" class="mi">S<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.008em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8585" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8586" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8587" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8588" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8589" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8590" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8591" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8592" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8593" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8594" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8595" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8596" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8597" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8598" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8599" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-8600" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8601" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8602" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8603" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8604" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8605" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8606" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8607" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8608" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8609" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8610" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8611" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8612" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8613" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-8614" class="mo">[</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8615" class="mo">]</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8616" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-8617" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-8618" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8619" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8620" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8621" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8622" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8623" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8624" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8625" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8626" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8627" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8628" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8629" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8630" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8631" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8632" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-8633" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8634" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8635" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8636" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8637" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8638" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8639" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8640" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8641" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8642" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8643" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8644" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8645" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8646" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-8647" class="mo">[</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8648" class="mo">]</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8649" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.498em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 3.999em; vertical-align: -3.081em;"></span></span></nobr></span><script id="MathJax-Element-452" type="math/tex">\begin{array}[t]{l}
 \forall a,t_1,t_2,attrs.~
 \\
 \qquad activity(a,t_1,t_2,attrs)
@@ -2151,7 +2151,7 @@
 \quad\Rightarrow
 \exists start,e_1,a_1,end,a_2,e_2.~wasStartedBy(start,a,e_1,a_1,t_1,[]) \wedge wasEndedBy(end,a,e_2,a_2,t_2,[])
 \end{array}</script></div>
-<div class="inference" number="9" id="wasStartedBy-inference"><div class="ruleTitle"><a class="internalDFN" href="#wasStartedBy-inference">Inference 9 (wasStartedBy-inference)</a></div><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-453-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-8650"><span style="display: inline-block; position: relative; width: 391px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 98.8px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-8651"><span class="mtable" id="MathJax-Span-8652" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 385px; height: 0px;"><span style="position: absolute; clip: rect(70.8px 19360px 144.8px -9px); top: -87px; left: 0px;"><span style="display: inline-block; position: relative; width: 385px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 53.9px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-8653"><span class="mrow" id="MathJax-Span-8654"><span class="mi" id="MathJax-Span-8655" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-8656" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-8657" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-8658" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-8659" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-8660" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8661" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8662" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-8663" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8664" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8665" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8666" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-8667" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8668" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-8669" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-8670" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-8671" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-8672" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8673" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8674" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-8675" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-8676" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-8677" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -23.2px; left: 0px;"><span class="mtd" id="MathJax-Span-8678"><span class="mrow" id="MathJax-Span-8679"><span class="mspace" id="MathJax-Span-8680" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-8681" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-8682" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-8683" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-8684" style="font-family: STIXGeneral-Italic;">S<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.2px;"></span></span><span class="mi" id="MathJax-Span-8685" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8686" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-8687" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-8688" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8689" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-8690" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-8691" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-8692" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-8693" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-8694" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-8695" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-8696" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-8697" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-8698" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8699" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8700" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-8701" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8702" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8703" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8704" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-8705" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8706" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-8707" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-8708" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-8709" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-8710" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8711" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8712" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-8713" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-8714" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.8px 19360px 56px -9px); top: 1.8px; left: 0px;"><span class="mtd" id="MathJax-Span-8715"><span class="mrow" id="MathJax-Span-8716"><span class="mspace" id="MathJax-Span-8717" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-8718" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-8719" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∃</span><span class="mi" id="MathJax-Span-8720" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-8721" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-8722" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-8723" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8724" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8725" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-8726" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8727" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-8728" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span><span class="mi" id="MathJax-Span-8729" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-8730" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-8731" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-8732" style="font-family: STIXGeneral-Italic;">G</span><span class="mi" id="MathJax-Span-8733" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-8734" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-8735" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-8736" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-8737" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-8738" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8739" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-8740" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-8741" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-8742" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-8743" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-8744" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-8745" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-8746" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-8747" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8748" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8749" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-8750" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8751" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8752" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8753" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-8754" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8755" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8756" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8757" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-8758" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8759" style="font-family: STIXGeneral-Regular;">,</span><span class="mo" id="MathJax-Span-8760" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">[</span><span class="mo" id="MathJax-Span-8761" style="font-family: STIXGeneral-Regular;">]</span><span class="mo" id="MathJax-Span-8762" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 87px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 72.2px; vertical-align: -55.8px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-453">\begin{array}[t]{l}
+<div class="inference" number="9" id="wasStartedBy-inference"><div class="ruleTitle"><a href="#wasStartedBy-inference" class="internalDFN">Inference 9 (wasStartedBy-inference)</a></div><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-453-Frame" class="MathJax"><nobr><span id="MathJax-Span-8650" class="math"><span style="display: inline-block; position: relative; width: 352px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.048em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-8651" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-8652" class="mtable"><span style="display: inline-block; position: relative; width: 20.21em; height: 0px;"><span style="position: absolute; clip: rect(3.639em, 1000em, 7.501em, -0.526em); top: -4.498em; left: 0em;"><span style="display: inline-block; position: relative; width: 20.21em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.895em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-8653" class="mtd"><span id="MathJax-Span-8654" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-8655" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8656" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8657" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8658" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-8659" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8660" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8661" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8662" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8663" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8664" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8665" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8666" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8667" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8668" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-8669" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8670" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-8671" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8672" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8673" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8674" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8675" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8676" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-8677" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: -1.287em; left: 0em;"><span id="MathJax-Span-8678" class="mtd"><span id="MathJax-Span-8679" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-8680" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8681" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8682" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8683" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8684" class="mi">S<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.008em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8685" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8686" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8687" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8688" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8689" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8690" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8691" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8692" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8693" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8694" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8695" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8696" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-8697" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8698" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8699" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8700" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8701" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8702" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8703" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8704" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8705" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8706" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-8707" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8708" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-8709" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8710" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8711" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8712" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8713" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8714" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: 0.052em; left: 0em;"><span id="MathJax-Span-8715" class="mtd"><span id="MathJax-Span-8716" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-8717" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8718" class="mo">⇒</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-8719" class="mi">∃</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8720" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8721" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8722" class="mi">n</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8723" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8724" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8725" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8726" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8727" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-8728" class="mtext">&nbsp;</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8729" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8730" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8731" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8732" class="mi">G</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8733" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8734" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8735" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8736" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8737" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8738" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8739" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8740" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8741" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8742" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8743" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8744" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8745" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8746" class="mi">n</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8747" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8748" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8749" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8750" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8751" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8752" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8753" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8754" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8755" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8756" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8757" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8758" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8759" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-8760" class="mo">[</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8761" class="mo">]</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8762" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.498em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 4.007em; vertical-align: -3.088em;"></span></span></nobr></span><script id="MathJax-Element-453" type="math/tex">\begin{array}[t]{l}
 \forall id,a,e_1,a_1,t,attrs.~
 \\
 \qquad wasStartedBy(id,a,e_1,a_1,t,attrs)
@@ -2159,7 +2159,7 @@
 \quad\Rightarrow
 \exists gen,t_1.~wasGeneratedBy(gen,e_1,a_1,t_1,[])
 \end{array}</script></div>
-<div class="inference" number="10" id="wasEndedBy-inference"><div class="ruleTitle"><a class="internalDFN" href="#wasEndedBy-inference">Inference 10 (wasEndedBy-inference)</a></div><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-454-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-8763"><span style="display: inline-block; position: relative; width: 391px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 98.8px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-8764"><span class="mtable" id="MathJax-Span-8765" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 385px; height: 0px;"><span style="position: absolute; clip: rect(70.8px 19360px 144.8px -9px); top: -87px; left: 0px;"><span style="display: inline-block; position: relative; width: 385px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 53.9px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-8766"><span class="mrow" id="MathJax-Span-8767"><span class="mi" id="MathJax-Span-8768" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-8769" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-8770" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-8771" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-8772" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-8773" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8774" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8775" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-8776" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8777" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8778" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8779" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-8780" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8781" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-8782" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-8783" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-8784" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-8785" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8786" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8787" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-8788" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-8789" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-8790" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -23.2px; left: 0px;"><span class="mtd" id="MathJax-Span-8791"><span class="mrow" id="MathJax-Span-8792"><span class="mspace" id="MathJax-Span-8793" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-8794" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-8795" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-8796" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-8797" style="font-family: STIXGeneral-Italic;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-8798" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-8799" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-8800" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-8801" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-8802" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-8803" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-8804" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-8805" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-8806" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-8807" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-8808" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-8809" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8810" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8811" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-8812" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8813" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8814" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8815" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-8816" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8817" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-8818" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-8819" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-8820" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-8821" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8822" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8823" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-8824" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-8825" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.8px 19360px 56px -9px); top: 1.8px; left: 0px;"><span class="mtd" id="MathJax-Span-8826"><span class="mrow" id="MathJax-Span-8827"><span class="mspace" id="MathJax-Span-8828" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-8829" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-8830" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∃</span><span class="mi" id="MathJax-Span-8831" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-8832" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-8833" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-8834" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8835" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8836" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-8837" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8838" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-8839" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span><span class="mi" id="MathJax-Span-8840" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-8841" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-8842" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-8843" style="font-family: STIXGeneral-Italic;">G</span><span class="mi" id="MathJax-Span-8844" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-8845" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-8846" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-8847" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-8848" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-8849" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8850" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-8851" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-8852" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-8853" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-8854" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-8855" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-8856" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-8857" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-8858" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8859" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8860" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-8861" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8862" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8863" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8864" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-8865" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8866" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8867" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8868" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-8869" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8870" style="font-family: STIXGeneral-Regular;">,</span><span class="mo" id="MathJax-Span-8871" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">[</span><span class="mo" id="MathJax-Span-8872" style="font-family: STIXGeneral-Regular;">]</span><span class="mo" id="MathJax-Span-8873" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 87px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 72.2px; vertical-align: -55.8px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-454">\begin{array}[t]{l}
+<div class="inference" number="10" id="wasEndedBy-inference"><div class="ruleTitle"><a href="#wasEndedBy-inference" class="internalDFN">Inference 10 (wasEndedBy-inference)</a></div><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-454-Frame" class="MathJax"><nobr><span id="MathJax-Span-8763" class="math"><span style="display: inline-block; position: relative; width: 352px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.048em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-8764" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-8765" class="mtable"><span style="display: inline-block; position: relative; width: 20.21em; height: 0px;"><span style="position: absolute; clip: rect(3.639em, 1000em, 7.501em, -0.526em); top: -4.498em; left: 0em;"><span style="display: inline-block; position: relative; width: 20.21em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.895em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-8766" class="mtd"><span id="MathJax-Span-8767" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-8768" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8769" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8770" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8771" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-8772" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8773" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8774" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8775" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8776" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8777" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8778" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8779" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8780" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8781" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-8782" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8783" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-8784" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8785" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8786" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8787" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8788" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8789" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-8790" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: -1.287em; left: 0em;"><span id="MathJax-Span-8791" class="mtd"><span id="MathJax-Span-8792" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-8793" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8794" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8795" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8796" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8797" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8798" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8799" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8800" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8801" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8802" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8803" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8804" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8805" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8806" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8807" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-8808" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8809" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8810" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8811" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8812" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8813" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8814" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8815" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8816" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8817" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-8818" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8819" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-8820" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8821" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8822" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8823" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8824" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8825" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: 0.052em; left: 0em;"><span id="MathJax-Span-8826" class="mtd"><span id="MathJax-Span-8827" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-8828" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8829" class="mo">⇒</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-8830" class="mi">∃</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8831" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8832" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8833" class="mi">n</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8834" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8835" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8836" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8837" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8838" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-8839" class="mtext">&nbsp;</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8840" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8841" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8842" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8843" class="mi">G</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8844" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8845" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8846" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8847" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8848" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8849" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8850" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8851" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8852" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8853" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8854" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8855" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8856" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8857" class="mi">n</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8858" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8859" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8860" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8861" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8862" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8863" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8864" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8865" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8866" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8867" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8868" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8869" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8870" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-8871" class="mo">[</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8872" class="mo">]</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8873" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.498em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 4.007em; vertical-align: -3.088em;"></span></span></nobr></span><script id="MathJax-Element-454" type="math/tex">\begin{array}[t]{l}
 \forall id,a,e_1,a_1,t,attrs.~
 \\
 \qquad wasEndedBy(id,a,e_1,a_1,t,attrs)
@@ -2167,7 +2167,7 @@
 \quad\Rightarrow
 \exists gen,t_1.~wasGeneratedBy(gen,e_1,a_1,t_1,[])
 \end{array}</script></div>
-<div class="inference" number="11" id="derivation-generation-use-inference"><div class="ruleTitle"><a class="internalDFN" href="#derivation-generation-use-inference">Inference 11 (derivation-generation-use-inference)</a></div><p>In this inference, none of <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-455-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-8874"><span style="display: inline-block; position: relative; width: 10px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-8875"><span class="mi" id="MathJax-Span-8876" style="font-family: STIXGeneral-Italic;">a</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-455">a</script>,<span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-456-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-8877"><span style="display: inline-block; position: relative; width: 37px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-8878"><span class="mi" id="MathJax-Span-8879" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-8880" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-8881"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8882" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-8883" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 14.5px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-456">gen_2</script>, or <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-457-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-8884"><span style="display: inline-block; position: relative; width: 34px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.4px 19360px 53.9px -8.2px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-8885"><span class="mi" id="MathJax-Span-8886" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-8887" style="font-family: STIXGeneral-Italic;">s</span><span class="msubsup" id="MathJax-Span-8888"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8889" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-8890" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 13.5px; vertical-align: -3.9px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-457">use_1</script> can be placeholders -.</p><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-458-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-8891"><span style="display: inline-block; position: relative; width: 760px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 99.8px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-8892"><span class="mtable" id="MathJax-Span-8893" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 754px; height: 0px;"><span style="position: absolute; clip: rect(71.8px 19360px 146.8px -9px); top: -88px; left: 0px;"><span style="display: inline-block; position: relative; width: 754px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-8894"><span class="mrow" id="MathJax-Span-8895"><span class="mi" id="MathJax-Span-8896" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-8897" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-8898" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-8899" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8900" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8901" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-8902" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8903" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8904" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8905" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-8906" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8907" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-8908" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-8909" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-8910" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">g</span><span class="mi" id="MathJax-Span-8911" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-8912"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8913" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-8914" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8915" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-8916" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">u</span><span class="mi" id="MathJax-Span-8917" style="font-family: STIXGeneral-Italic;">s</span><span class="msubsup" id="MathJax-Span-8918"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8919" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-8920" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8921" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-8922" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-8923" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8924" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8925" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-8926" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-8927" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-8928" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -22.1px; left: 0px;"><span class="mtd" id="MathJax-Span-8929"><span class="mrow" id="MathJax-Span-8930"><span class="mspace" id="MathJax-Span-8931" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-8932" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-8933" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-8934" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8935" style="font-family: STIXGeneral-Italic;">N<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.2px;"></span></span><span class="mi" id="MathJax-Span-8936" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-8937" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-8938" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mo" id="MathJax-Span-8939" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-8940" style="font-family: STIXGeneral-Italic;">a</span><span class="mo" id="MathJax-Span-8941" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-8942" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-8943" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">n</span><span class="mi" id="MathJax-Span-8944" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-8945" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8946" style="font-family: STIXGeneral-Italic;">N<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.2px;"></span></span><span class="mi" id="MathJax-Span-8947" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-8948" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-8949" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mo" id="MathJax-Span-8950" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-8951" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-8952" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-8953"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8954" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-8955" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8956" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-8957" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-8958" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">n</span><span class="mi" id="MathJax-Span-8959" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-8960" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-8961" style="font-family: STIXGeneral-Italic;">N<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.2px;"></span></span><span class="mi" id="MathJax-Span-8962" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-8963" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-8964" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mo" id="MathJax-Span-8965" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-8966" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-8967" style="font-family: STIXGeneral-Italic;">s</span><span class="msubsup" id="MathJax-Span-8968"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8969" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-8970" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8971" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-8972" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-8973" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-8974" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-8975" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-8976" style="font-family: STIXGeneral-Italic;">D</span><span class="mi" id="MathJax-Span-8977" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-8978" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-8979" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-8980" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-8981" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-8982" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-8983" style="font-family: STIXGeneral-Italic;">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.7px;"></span></span><span class="mi" id="MathJax-Span-8984" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-8985" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-8986" style="font-family: STIXGeneral-Italic;">m</span><span class="mo" id="MathJax-Span-8987" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-8988" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-8989" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-8990" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8991" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8992" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-8993" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8994" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-8995" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-8996" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-8997" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-8998" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-8999" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-9000" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9001" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">g</span><span class="mi" id="MathJax-Span-9002" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-9003"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-9004" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-9005" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-9006" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9007" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">u</span><span class="mi" id="MathJax-Span-9008" style="font-family: STIXGeneral-Italic;">s</span><span class="msubsup" id="MathJax-Span-9009"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-9010" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-9011" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-9012" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9013" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-9014" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-9015" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-9016" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-9017" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-9018" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.8px 19360px 56px -9px); top: 2.8px; left: 0px;"><span class="mtd" id="MathJax-Span-9019"><span class="mrow" id="MathJax-Span-9020"><span class="mspace" id="MathJax-Span-9021" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-9022" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-9023" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∃</span><span class="msubsup" id="MathJax-Span-9024"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-9025" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-9026" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-9027" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-9028" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-9029" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-9030" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-9031" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-9032" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span><span class="mi" id="MathJax-Span-9033" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-9034" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-9035" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-9036" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-9037" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-9038" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-9039" style="font-family: STIXGeneral-Italic;">s</span><span class="msubsup" id="MathJax-Span-9040"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-9041" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-9042" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-9043" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9044" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-9045" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-9046" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-9047" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-9048" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-9049" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-9050" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-9051" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-9052" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-9053" style="font-family: STIXGeneral-Regular;">,</span><span class="mo" id="MathJax-Span-9054" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">[</span><span class="mo" id="MathJax-Span-9055" style="font-family: STIXGeneral-Regular;">]</span><span class="mo" id="MathJax-Span-9056" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-9057" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-9058" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-9059" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-9060" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-9061" style="font-family: STIXGeneral-Italic;">G</span><span class="mi" id="MathJax-Span-9062" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-9063" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-9064" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-9065" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-9066" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-9067" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-9068" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-9069" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-9070" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-9071" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-9072" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-9073" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-9074" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-9075"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-9076" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-9077" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-9078" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-9079" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-9080" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-9081" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-9082" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9083" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-9084" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-9085" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-9086" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-9087" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-9088" style="font-family: STIXGeneral-Regular;">,</span><span class="mo" id="MathJax-Span-9089" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">[</span><span class="mo" id="MathJax-Span-9090" style="font-family: STIXGeneral-Regular;">]</span><span class="mo" id="MathJax-Span-9091" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 88px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 73.3px; vertical-align: -56.8px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-458">\begin{array}[t]{l}
+<div class="inference" number="11" id="derivation-generation-use-inference"><div class="ruleTitle"><a href="#derivation-generation-use-inference" class="internalDFN">Inference 11 (derivation-generation-use-inference)</a></div><p>In this inference, none of <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-455-Frame" class="MathJax"><nobr><span id="MathJax-Span-8874" class="math"><span style="display: inline-block; position: relative; width: 9px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-8875" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8876" class="mi">a</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.609em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-455" type="math/tex">a</script>,<span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-456-Frame" class="MathJax"><nobr><span id="MathJax-Span-8877" class="math"><span style="display: inline-block; position: relative; width: 32px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.951em, -0.518em); top: -2.57em; left: 0em;"><span id="MathJax-Span-8878" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8879" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8880" class="mi">e</span><span id="MathJax-Span-8881" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.754em, -0.512em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8882" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8883" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.817em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-456" type="math/tex">gen_2</script>, or <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-457-Frame" class="MathJax"><nobr><span id="MathJax-Span-8884" class="math"><span style="display: inline-block; position: relative; width: 31px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.895em, -0.484em); top: -2.57em; left: 0em;"><span id="MathJax-Span-8885" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8886" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8887" class="mi">s</span><span id="MathJax-Span-8888" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8889" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8890" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.758em; vertical-align: -0.223em;"></span></span></nobr></span><script id="MathJax-Element-457" type="math/tex">use_1</script> can be placeholders -.</p><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-458-Frame" class="MathJax"><nobr><span id="MathJax-Span-8891" class="math"><span style="display: inline-block; position: relative; width: 690px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.104em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-8892" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-8893" class="mtable"><span style="display: inline-block; position: relative; width: 39.953em; height: 0px;"><span style="position: absolute; clip: rect(3.698em, 1000em, 7.615em, -0.526em); top: -4.556em; left: 0em;"><span style="display: inline-block; position: relative; width: 39.953em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-8894" class="mtd"><span id="MathJax-Span-8895" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-8896" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8897" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8898" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8899" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8900" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8901" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8902" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8903" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8904" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8905" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8906" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8907" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-8908" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-8909" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-8910" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8911" class="mi">e</span><span id="MathJax-Span-8912" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.754em, -0.512em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8913" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8914" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8915" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-8916" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8917" class="mi">s</span><span id="MathJax-Span-8918" class="msubsup"><span style="display: inline-block; 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position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8992" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8993" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8994" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-8995" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-8996" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-8997" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-8998" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-8999" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9000" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9001" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9002" class="mi">e</span><span id="MathJax-Span-9003" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.754em, -0.512em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9004" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-9005" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9006" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9007" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9008" class="mi">s</span><span id="MathJax-Span-9009" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9010" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-9011" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9012" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9013" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9014" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9015" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9016" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9017" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9018" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: 0.108em; left: 0em;"><span id="MathJax-Span-9019" class="mtd"><span id="MathJax-Span-9020" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-9021" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9022" class="mo">⇒</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-9023" class="mi">∃</span><span id="MathJax-Span-9024" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9025" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-9026" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9027" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-9028" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); 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font-style: italic;" id="MathJax-Span-9036" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9037" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9038" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9039" class="mi">s</span><span id="MathJax-Span-9040" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9041" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-9042" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9043" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9044" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9045" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-9046" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9047" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-9048" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9049" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-9050" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9051" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-9052" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9053" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-9054" class="mo">[</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9055" class="mo">]</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9056" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-9057" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-9058" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9059" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9060" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9061" class="mi">G</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9062" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9063" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9064" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9065" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9066" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9067" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9068" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9069" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9070" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9071" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9072" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9073" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9074" class="mi">e</span><span id="MathJax-Span-9075" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.754em, -0.512em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9076" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-9077" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9078" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-9079" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9080" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-9081" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9082" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9083" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9084" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-9085" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9086" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-9087" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9088" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-9089" class="mo">[</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9090" class="mo">]</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9091" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.556em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 4.067em; vertical-align: -3.148em;"></span></span></nobr></span><script id="MathJax-Element-458" type="math/tex">\begin{array}[t]{l}
 \forall id,e_2,e_1,a,gen_2,use_1,attrs.~
 \\
 \qquad notNull(a) \wedge notNull(gen_2) \wedge notNull(use_1) \wedge wasDerivedFrom(id,e_2,e_1,a,gen_2,use_1,attrs)
@@ -2175,7 +2175,7 @@
 \quad\Rightarrow
 \exists t_1,t_2.~used(use_1,a,e_1,t_1,[]) \wedge wasGeneratedBy(gen_2,e_2,a,t_2,[])
 \end{array}</script></div>
-<div class="inference" number="12" id="revision-is-alternate-inference"><div class="ruleTitle"><a class="internalDFN" href="#revision-is-alternate-inference">Inference 12 (revision-is-alternate-inference)</a></div><p>In this inference, any of <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-459-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-9092"><span style="display: inline-block; position: relative; width: 10px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-9093"><span class="mi" id="MathJax-Span-9094" style="font-family: STIXGeneral-Italic;">a</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-459">a</script>,<span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-460-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-9095"><span style="display: inline-block; position: relative; width: 37px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-9096"><span class="mi" id="MathJax-Span-9097" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-9098" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-9099"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-9100" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-9101" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 14.5px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-460">gen_2</script>, or <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-461-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-9102"><span style="display: inline-block; position: relative; width: 34px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.4px 19360px 53.9px -8.2px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-9103"><span class="mi" id="MathJax-Span-9104" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-9105" style="font-family: STIXGeneral-Italic;">s</span><span class="msubsup" id="MathJax-Span-9106"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-9107" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-9108" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 13.5px; vertical-align: -3.9px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-461">use_1</script> can be placeholders -.</p><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-462-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-9109"><span style="display: inline-block; position: relative; width: 572px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 99.9px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-9110"><span class="mtable" id="MathJax-Span-9111" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 566px; height: 0px;"><span style="position: absolute; clip: rect(71.8px 19360px 146.9px -9px); top: -88px; left: 0px;"><span style="display: inline-block; position: relative; width: 566px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-9112"><span class="mrow" id="MathJax-Span-9113"><span class="mi" id="MathJax-Span-9114" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-9115" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-9116" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-9117" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-9118" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-9119" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-9120" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-9121" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-9122" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-9123" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-9124" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-9125" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9126" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-9127" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9128" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">g</span><span class="mo" id="MathJax-Span-9129" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9130" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">u</span><span class="mo" id="MathJax-Span-9131" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-9132" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -22.1px; left: 0px;"><span class="mtd" id="MathJax-Span-9133"><span class="mrow" id="MathJax-Span-9134"><span class="mspace" id="MathJax-Span-9135" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-9136" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-9137" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-9138" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-9139" style="font-family: STIXGeneral-Italic;">D</span><span class="mi" id="MathJax-Span-9140" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-9141" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-9142" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-9143" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-9144" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-9145" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-9146" style="font-family: STIXGeneral-Italic;">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.7px;"></span></span><span class="mi" id="MathJax-Span-9147" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-9148" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-9149" style="font-family: STIXGeneral-Italic;">m</span><span class="mo" id="MathJax-Span-9150" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-9151" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-9152" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-9153" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-9154" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-9155" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-9156" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-9157" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-9158" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-9159" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-9160" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-9161" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9162" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-9163" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9164" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">g</span><span class="mo" id="MathJax-Span-9165" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9166" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">u</span><span class="mo" id="MathJax-Span-9167" style="font-family: STIXGeneral-Regular;">,</span><span class="mo" id="MathJax-Span-9168" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">[</span><span class="mi" id="MathJax-Span-9169" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-9170" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-9171" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-9172" style="font-family: STIXGeneral-Italic;">v</span><span class="mo" id="MathJax-Span-9173" style="font-family: STIXGeneral-Regular; padding-left: 6px;">:</span><span class="mi" id="MathJax-Span-9174" style="font-family: STIXGeneral-Italic; padding-left: 6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-9175" style="font-family: STIXGeneral-Italic;">y</span><span class="mi" id="MathJax-Span-9176" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-9177" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-9178" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-9179" style="font-family: STIXGeneral-Italic; padding-left: 6px;">p</span><span class="mi" id="MathJax-Span-9180" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-9181" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-9182" style="font-family: STIXGeneral-Italic;">v</span><span class="mo" id="MathJax-Span-9183" style="font-family: STIXGeneral-Regular; padding-left: 6px;">:</span><span class="mi" id="MathJax-Span-9184" style="font-family: STIXGeneral-Italic; padding-left: 6px;">R</span><span class="mi" id="MathJax-Span-9185" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-9186" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-9187" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-9188" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-9189" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-9190" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-9191" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-9192" style="font-family: STIXGeneral-Regular;">]</span><span class="mo" id="MathJax-Span-9193" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-9194" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.8px 19360px 56px -9px); top: 2.8px; left: 0px;"><span class="mtd" id="MathJax-Span-9195"><span class="mrow" id="MathJax-Span-9196"><span class="mspace" id="MathJax-Span-9197" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-9198" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-9199" style="font-family: STIXGeneral-Italic; padding-left: 6px;">a</span><span class="mi" id="MathJax-Span-9200" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-9201" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-9202" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-9203" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-9204" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-9205" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-9206" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-9207" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-9208" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-9209" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-9210" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-9211"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-9212" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-9213" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-9214" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-9215" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-9216" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-9217" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-9218" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 88px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 73.3px; vertical-align: -56.9px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-462">\begin{array}[t]{l}
+<div class="inference" number="12" id="revision-is-alternate-inference"><div class="ruleTitle"><a href="#revision-is-alternate-inference" class="internalDFN">Inference 12 (revision-is-alternate-inference)</a></div><p>In this inference, any of <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-459-Frame" class="MathJax"><nobr><span id="MathJax-Span-9092" class="math"><span style="display: inline-block; position: relative; width: 9px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-9093" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9094" class="mi">a</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.609em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-459" type="math/tex">a</script>,<span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-460-Frame" class="MathJax"><nobr><span id="MathJax-Span-9095" class="math"><span style="display: inline-block; position: relative; width: 32px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.951em, -0.518em); top: -2.57em; left: 0em;"><span id="MathJax-Span-9096" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9097" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9098" class="mi">e</span><span id="MathJax-Span-9099" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.754em, -0.512em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9100" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-9101" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.817em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-460" type="math/tex">gen_2</script>, or <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-461-Frame" class="MathJax"><nobr><span id="MathJax-Span-9102" class="math"><span style="display: inline-block; position: relative; width: 31px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.895em, -0.484em); top: -2.57em; left: 0em;"><span id="MathJax-Span-9103" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9104" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9105" class="mi">s</span><span id="MathJax-Span-9106" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9107" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-9108" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.758em; vertical-align: -0.223em;"></span></span></nobr></span><script id="MathJax-Element-461" type="math/tex">use_1</script> can be placeholders -.</p><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-462-Frame" class="MathJax"><nobr><span id="MathJax-Span-9109" class="math"><span style="display: inline-block; position: relative; width: 517px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.105em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-9110" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-9111" class="mtable"><span style="display: inline-block; position: relative; width: 29.848em; height: 0px;"><span style="position: absolute; clip: rect(3.698em, 1000em, 7.616em, -0.526em); top: -4.556em; left: 0em;"><span style="display: inline-block; position: relative; width: 29.848em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-9112" class="mtd"><span id="MathJax-Span-9113" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-9114" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9115" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9116" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9117" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-9118" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9119" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-9120" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9121" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-9122" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9123" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-9124" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9125" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9126" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9127" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9128" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9129" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9130" class="mi">u</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9131" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-9132" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: -1.231em; left: 0em;"><span id="MathJax-Span-9133" class="mtd"><span id="MathJax-Span-9134" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-9135" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9136" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9137" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9138" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9139" class="mi">D</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9140" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9141" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9142" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9143" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9144" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9145" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9146" class="mi">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.034em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9147" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9148" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9149" class="mi">m</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9150" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9151" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9152" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9153" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-9154" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9155" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-9156" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9157" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-9158" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9159" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-9160" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9161" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9162" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9163" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9164" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9165" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9166" class="mi">u</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9167" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-9168" class="mo">[</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9169" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9170" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9171" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9172" class="mi">v</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-9173" class="mo">:</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-9174" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9175" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9176" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9177" class="mi">e</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-9178" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-9179" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9180" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9181" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9182" class="mi">v</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-9183" class="mo">:</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-9184" class="mi">R</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9185" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9186" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9187" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9188" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9189" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9190" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9191" class="mi">n</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9192" class="mo">]</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9193" class="mo">)</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9194" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.526em); top: 0.108em; left: 0em;"><span id="MathJax-Span-9195" class="mtd"><span id="MathJax-Span-9196" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-9197" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9198" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-9199" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9200" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9201" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9202" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9203" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9204" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9205" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9206" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9207" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9208" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9209" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9210" class="mo">(</span><span id="MathJax-Span-9211" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9212" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-9213" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9214" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-9215" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9216" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-9217" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9218" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.556em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 4.068em; vertical-align: -3.149em;"></span></span></nobr></span><script id="MathJax-Element-462" type="math/tex">\begin{array}[t]{l}
 \forall id,e_1,e_2,a,g,u.~
 \\
 \qquad wasDerivedFrom(id,e_2,e_1,a,g,u,[prov:type = prov:Revision]))
@@ -2183,7 +2183,7 @@
 \quad\Rightarrow
 alternateOf(e_2,e_1)
 \end{array}</script></div>
-<div class="inference" number="13" id="attribution-inference"><div class="ruleTitle"><a class="internalDFN" href="#attribution-inference">Inference 13 (attribution-inference)</a></div><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-463-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-9219"><span style="display: inline-block; position: relative; width: 762px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 99.8px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-9220"><span class="mtable" id="MathJax-Span-9221" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 756px; height: 0px;"><span style="position: absolute; clip: rect(72.2px 19360px 146.8px -9px); top: -88px; left: 0px;"><span style="display: inline-block; position: relative; width: 756px; height: 0px;"><span style="position: absolute; clip: rect(32.2px 19360px 55px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-9222"><span class="mrow" id="MathJax-Span-9223"><span class="mi" id="MathJax-Span-9224" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-9225" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-9226" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-9227" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-9228" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9229" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-9230" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9231" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-9232" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-9233" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9234" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-9235" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-9236" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-9237" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-9238" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-9239" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-9240" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -22.1px; left: 0px;"><span class="mtd" id="MathJax-Span-9241"><span class="mrow" id="MathJax-Span-9242"><span class="mspace" id="MathJax-Span-9243" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-9244" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-9245" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-9246" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-9247" style="font-family: STIXGeneral-Italic;">A</span><span class="mi" id="MathJax-Span-9248" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-9249" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-9250" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-9251" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-9252" style="font-family: STIXGeneral-Italic;">b</span><span class="mi" id="MathJax-Span-9253" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-9254" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-9255" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-9256" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-9257" style="font-family: STIXGeneral-Italic;">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.5px;"></span></span><span class="mi" id="MathJax-Span-9258" style="font-family: STIXGeneral-Italic;">o</span><span class="mo" id="MathJax-Span-9259" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-9260" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-9261" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-9262" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-9263" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9264" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-9265" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9266" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-9267" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-9268" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9269" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-9270" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-9271" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-9272" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-9273" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-9274" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.8px 19360px 56px -9px); top: 2.8px; left: 0px;"><span class="mtd" id="MathJax-Span-9275"><span class="mrow" id="MathJax-Span-9276"><span class="mspace" id="MathJax-Span-9277" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-9278" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-9279" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∃</span><span class="mi" id="MathJax-Span-9280" style="font-family: STIXGeneral-Italic;">a</span><span class="mo" id="MathJax-Span-9281" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9282" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-9283" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9284" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">g</span><span class="mi" id="MathJax-Span-9285" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-9286" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-9287" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9288" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-9289" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-9290" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-9291" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-9292" style="font-family: STIXGeneral-Italic;">c</span><span class="mo" id="MathJax-Span-9293" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9294" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">p</span><span class="mi" id="MathJax-Span-9295" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mo" id="MathJax-Span-9296" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-9297" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span><span class="mi" id="MathJax-Span-9298" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-9299" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-9300" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-9301" style="font-family: STIXGeneral-Italic;">G</span><span class="mi" id="MathJax-Span-9302" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-9303" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-9304" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-9305" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-9306" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-9307" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-9308" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-9309" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-9310" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-9311" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-9312" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-9313" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-9314" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-9315" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-9316" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9317" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-9318" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9319" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-9320" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9321" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-9322" style="font-family: STIXGeneral-Regular;">,</span><span class="mo" id="MathJax-Span-9323" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">[</span><span class="mo" id="MathJax-Span-9324" style="font-family: STIXGeneral-Regular;">]</span><span class="mo" id="MathJax-Span-9325" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-9326" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-9327" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-9328" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-9329" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-9330" style="font-family: STIXGeneral-Italic;">A</span><span class="mi" id="MathJax-Span-9331" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-9332" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-9333" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-9334" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-9335" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-9336" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-9337" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-9338" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-9339" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-9340" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mi" id="MathJax-Span-9341" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-9342" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-9343" style="font-family: STIXGeneral-Italic;">h</span><span class="mo" id="MathJax-Span-9344" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-9345" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-9346" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-9347" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-9348" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-9349" style="font-family: STIXGeneral-Italic;">c</span><span class="mo" id="MathJax-Span-9350" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9351" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-9352" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9353" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-9354" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-9355" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9356" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">p</span><span class="mi" id="MathJax-Span-9357" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mo" id="MathJax-Span-9358" style="font-family: STIXGeneral-Regular;">,</span><span class="mo" id="MathJax-Span-9359" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">[</span><span class="mo" id="MathJax-Span-9360" style="font-family: STIXGeneral-Regular;">]</span><span class="mo" id="MathJax-Span-9361" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 88px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 73.3px; vertical-align: -56.8px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-463">\begin{array}[t]{l}
+<div class="inference" number="13" id="attribution-inference"><div class="ruleTitle"><a href="#attribution-inference" class="internalDFN">Inference 13 (attribution-inference)</a></div><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-463-Frame" class="MathJax"><nobr><span id="MathJax-Span-9219" class="math"><span style="display: inline-block; position: relative; width: 691px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.104em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-9220" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-9221" class="mtable"><span style="display: inline-block; position: relative; width: 40.012em; height: 0px;"><span style="position: absolute; clip: rect(3.719em, 1000em, 7.615em, -0.526em); top: -4.556em; left: 0em;"><span style="display: inline-block; position: relative; width: 40.012em; height: 0px;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.951em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-9222" class="mtd"><span id="MathJax-Span-9223" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-9224" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9225" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9226" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9227" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9228" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9229" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9230" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9231" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9232" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9233" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9234" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9235" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9236" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9237" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9238" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9239" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-9240" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: -1.231em; left: 0em;"><span id="MathJax-Span-9241" class="mtd"><span id="MathJax-Span-9242" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-9243" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9244" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9245" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9246" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9247" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9248" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9249" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9250" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9251" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9252" class="mi">b</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9253" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9254" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9255" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9256" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9257" class="mi">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.077em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9258" class="mi">o</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9259" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9260" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9261" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9262" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9263" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9264" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9265" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9266" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9267" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9268" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9269" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9270" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9271" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9272" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9273" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9274" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: 0.108em; left: 0em;"><span id="MathJax-Span-9275" class="mtd"><span id="MathJax-Span-9276" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-9277" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9278" class="mo">⇒</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-9279" class="mi">∃</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9280" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9281" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9282" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9283" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9284" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9285" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9286" class="mi">n</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9287" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9288" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9289" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9290" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9291" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9292" class="mi">c</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9293" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9294" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9295" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9296" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-9297" class="mtext">&nbsp;</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9298" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9299" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9300" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9301" class="mi">G</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9302" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9303" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9304" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9305" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9306" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9307" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9308" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9309" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9310" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9311" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9312" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9313" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9314" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9315" class="mi">n</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9316" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9317" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9318" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9319" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9320" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9321" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9322" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-9323" class="mo">[</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9324" class="mo">]</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9325" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-9326" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-9327" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9328" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9329" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9330" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9331" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9332" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9333" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9334" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9335" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9336" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9337" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9338" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9339" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9340" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9341" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9342" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9343" class="mi">h</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9344" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9345" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9346" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9347" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9348" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9349" class="mi">c</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9350" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9351" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9352" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9353" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9354" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9355" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9356" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9357" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9358" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-9359" class="mo">[</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9360" class="mo">]</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9361" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.556em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 4.067em; vertical-align: -3.148em;"></span></span></nobr></span><script id="MathJax-Element-463" type="math/tex">\begin{array}[t]{l}
 \forall att,e,ag,attrs.~
 \\
 \qquad wasAttributedTo(att,e,ag,attrs)
@@ -2191,7 +2191,7 @@
 \quad\Rightarrow
 \exists a,t,gen,assoc,pl.~wasGeneratedBy(gen,e,a,t,[]) \wedge wasAssociatedWith(assoc,a,ag,pl,[])
 \end{array}</script></div>
-<div class="inference" number="14" id="delegation-inference"><div class="ruleTitle"><a class="internalDFN" href="#delegation-inference">Inference 14 (delegation-inference)</a></div><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-464-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-9362"><span style="display: inline-block; position: relative; width: 800px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 101.9px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-9363"><span class="mtable" id="MathJax-Span-9364" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 794px; height: 0px;"><span style="position: absolute; clip: rect(73.8px 19360px 150.9px -9px); top: -90px; left: 0px;"><span style="display: inline-block; position: relative; width: 794px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 55.7px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-9365"><span class="mrow" id="MathJax-Span-9366"><span class="mi" id="MathJax-Span-9367" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-9368" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-9369" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-9370" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9371" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="msubsup" id="MathJax-Span-9372"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-9373" style="font-family: STIXGeneral-Italic;">g</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 10px;"><span class="mn" id="MathJax-Span-9374" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-9375" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9376" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="msubsup" id="MathJax-Span-9377"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-9378" style="font-family: STIXGeneral-Italic;">g</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 10px;"><span class="mn" id="MathJax-Span-9379" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-9380" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9381" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-9382" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9383" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-9384" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-9385" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-9386" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-9387" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-9388" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-9389" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55.7px -9px); top: -21.4px; left: 0px;"><span class="mtd" id="MathJax-Span-9390"><span class="mrow" id="MathJax-Span-9391"><span class="mspace" id="MathJax-Span-9392" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-9393" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-9394" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-9395" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-9396" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-9397" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-9398" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-9399" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-9400" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-9401" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-9402" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-9403" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-9404" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-9405" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-9406" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-9407" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-9408" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-9409" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-9410" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-9411" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9412" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="msubsup" id="MathJax-Span-9413"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-9414" style="font-family: STIXGeneral-Italic;">g</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 10px;"><span class="mn" id="MathJax-Span-9415" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-9416" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9417" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="msubsup" id="MathJax-Span-9418"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-9419" style="font-family: STIXGeneral-Italic;">g</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 10px;"><span class="mn" id="MathJax-Span-9420" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-9421" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9422" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-9423" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9424" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-9425" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-9426" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-9427" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-9428" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-9429" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.8px 19360px 56.7px -9px); top: 4.2px; left: 0px;"><span class="mtd" id="MathJax-Span-9430"><span class="mrow" id="MathJax-Span-9431"><span class="mspace" id="MathJax-Span-9432" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-9433" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-9434" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∃</span><span class="mi" id="MathJax-Span-9435" style="font-family: STIXGeneral-Italic;">i</span><span class="msubsup" id="MathJax-Span-9436"><span style="display: inline-block; position: relative; width: 18.9px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-9437" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10.5px;"><span class="mn" id="MathJax-Span-9438" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-9439" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9440" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">p</span><span class="msubsup" id="MathJax-Span-9441"><span style="display: inline-block; position: relative; width: 13.4px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 51.2px -8.2px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-9442" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5px;"><span class="mn" id="MathJax-Span-9443" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-9444" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9445" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">i</span><span class="msubsup" id="MathJax-Span-9446"><span style="display: inline-block; position: relative; width: 18.9px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-9447" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10.5px;"><span class="mn" id="MathJax-Span-9448" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-9449" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9450" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">p</span><span class="msubsup" id="MathJax-Span-9451"><span style="display: inline-block; position: relative; width: 13.4px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 51.2px -8.2px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-9452" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5px;"><span class="mn" id="MathJax-Span-9453" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-9454" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-9455" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span><span class="mi" id="MathJax-Span-9456" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-9457" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-9458" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-9459" style="font-family: STIXGeneral-Italic;">A</span><span class="mi" id="MathJax-Span-9460" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-9461" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-9462" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-9463" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-9464" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-9465" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-9466" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-9467" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-9468" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-9469" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mi" id="MathJax-Span-9470" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-9471" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-9472" style="font-family: STIXGeneral-Italic;">h</span><span class="mo" id="MathJax-Span-9473" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-9474" style="font-family: STIXGeneral-Italic;">i</span><span class="msubsup" id="MathJax-Span-9475"><span style="display: inline-block; position: relative; width: 18.9px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-9476" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10.5px;"><span class="mn" id="MathJax-Span-9477" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-9478" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9479" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-9480" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9481" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="msubsup" id="MathJax-Span-9482"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-9483" style="font-family: STIXGeneral-Italic;">g</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 10px;"><span class="mn" id="MathJax-Span-9484" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-9485" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9486" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">p</span><span class="msubsup" id="MathJax-Span-9487"><span style="display: inline-block; position: relative; width: 13.4px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 51.2px -8.2px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-9488" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5px;"><span class="mn" id="MathJax-Span-9489" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-9490" style="font-family: STIXGeneral-Regular;">,</span><span class="mo" id="MathJax-Span-9491" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">[</span><span class="mo" id="MathJax-Span-9492" style="font-family: STIXGeneral-Regular;">]</span><span class="mo" id="MathJax-Span-9493" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-9494" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-9495" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-9496" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-9497" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-9498" style="font-family: STIXGeneral-Italic;">A</span><span class="mi" id="MathJax-Span-9499" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-9500" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-9501" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-9502" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-9503" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-9504" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-9505" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-9506" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-9507" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-9508" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mi" id="MathJax-Span-9509" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-9510" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-9511" style="font-family: STIXGeneral-Italic;">h</span><span class="mo" id="MathJax-Span-9512" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-9513" style="font-family: STIXGeneral-Italic;">i</span><span class="msubsup" id="MathJax-Span-9514"><span style="display: inline-block; position: relative; width: 18.9px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-9515" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10.5px;"><span class="mn" id="MathJax-Span-9516" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-9517" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9518" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-9519" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9520" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="msubsup" id="MathJax-Span-9521"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-9522" style="font-family: STIXGeneral-Italic;">g</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 10px;"><span class="mn" id="MathJax-Span-9523" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-9524" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9525" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">p</span><span class="msubsup" id="MathJax-Span-9526"><span style="display: inline-block; position: relative; width: 13.4px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 51.2px -8.2px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-9527" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5px;"><span class="mn" id="MathJax-Span-9528" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-9529" style="font-family: STIXGeneral-Regular;">,</span><span class="mo" id="MathJax-Span-9530" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">[</span><span class="mo" id="MathJax-Span-9531" style="font-family: STIXGeneral-Regular;">]</span><span class="mo" id="MathJax-Span-9532" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 90px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 75.4px; vertical-align: -58.9px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-464">\begin{array}[t]{l}
+<div class="inference" number="14" id="delegation-inference"><div class="ruleTitle"><a href="#delegation-inference" class="internalDFN">Inference 14 (delegation-inference)</a></div><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-464-Frame" class="MathJax"><nobr><span id="MathJax-Span-9362" class="math"><span style="display: inline-block; position: relative; width: 722px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.21em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-9363" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-9364" class="mtable"><span style="display: inline-block; position: relative; width: 41.822em; height: 0px;"><span style="position: absolute; clip: rect(3.815em, 1000em, 7.838em, -0.526em); top: -4.673em; left: 0em;"><span style="display: inline-block; position: relative; width: 41.822em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.987em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-9365" class="mtd"><span id="MathJax-Span-9366" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-9367" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9368" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9369" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9370" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9371" class="mi">a</span><span id="MathJax-Span-9372" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.951em, -0.518em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9373" class="mi">g</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.861em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-9374" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9375" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9376" class="mi">a</span><span id="MathJax-Span-9377" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.951em, -0.518em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9378" class="mi">g</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.861em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-9379" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9380" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9381" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9382" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9383" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9384" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9385" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9386" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9387" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9388" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-9389" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.987em, -0.526em); top: -1.196em; left: 0em;"><span id="MathJax-Span-9390" class="mtd"><span id="MathJax-Span-9391" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-9392" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9393" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9394" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9395" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9396" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9397" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9398" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9399" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9400" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9401" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9402" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9403" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9404" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9405" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9406" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9407" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9408" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9409" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9410" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9411" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9412" class="mi">a</span><span id="MathJax-Span-9413" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.951em, -0.518em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9414" class="mi">g</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.861em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-9415" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9416" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9417" class="mi">a</span><span id="MathJax-Span-9418" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.951em, -0.518em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9419" class="mi">g</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.861em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-9420" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9421" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9422" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9423" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9424" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9425" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9426" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9427" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9428" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9429" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.987em, -0.526em); top: 0.179em; left: 0em;"><span id="MathJax-Span-9430" class="mtd"><span id="MathJax-Span-9431" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-9432" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9433" class="mo">⇒</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-9434" class="mi">∃</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9435" class="mi">i</span><span id="MathJax-Span-9436" class="msubsup"><span style="display: inline-block; position: relative; width: 0.924em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.511em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9437" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.499em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-9438" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9439" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9440" class="mi">p</span><span id="MathJax-Span-9441" class="msubsup"><span style="display: inline-block; position: relative; width: 0.717em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.756em, -0.485em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9442" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.291em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-9443" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9444" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9445" class="mi">i</span><span id="MathJax-Span-9446" class="msubsup"><span style="display: inline-block; position: relative; width: 0.924em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.511em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9447" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.499em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-9448" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9449" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9450" class="mi">p</span><span id="MathJax-Span-9451" class="msubsup"><span style="display: inline-block; position: relative; width: 0.717em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.756em, -0.485em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9452" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.291em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-9453" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9454" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-9455" class="mtext">&nbsp;</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9456" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9457" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9458" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9459" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9460" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9461" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9462" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9463" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9464" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9465" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9466" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9467" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9468" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9469" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9470" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9471" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9472" class="mi">h</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9473" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9474" class="mi">i</span><span id="MathJax-Span-9475" class="msubsup"><span style="display: inline-block; position: relative; width: 0.924em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.511em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9476" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.499em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-9477" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9478" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9479" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9480" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9481" class="mi">a</span><span id="MathJax-Span-9482" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.951em, -0.518em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9483" class="mi">g</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.861em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-9484" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9485" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9486" class="mi">p</span><span id="MathJax-Span-9487" class="msubsup"><span style="display: inline-block; position: relative; width: 0.717em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.756em, -0.485em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9488" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.291em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-9489" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9490" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-9491" class="mo">[</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9492" class="mo">]</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9493" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-9494" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-9495" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9496" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9497" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9498" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9499" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9500" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9501" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9502" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9503" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9504" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9505" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9506" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9507" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9508" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9509" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9510" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9511" class="mi">h</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9512" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9513" class="mi">i</span><span id="MathJax-Span-9514" class="msubsup"><span style="display: inline-block; position: relative; width: 0.924em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.511em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9515" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.499em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-9516" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9517" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9518" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9519" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9520" class="mi">a</span><span id="MathJax-Span-9521" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.951em, -0.518em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9522" class="mi">g</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.861em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-9523" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9524" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9525" class="mi">p</span><span id="MathJax-Span-9526" class="msubsup"><span style="display: inline-block; position: relative; width: 0.717em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.756em, -0.485em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9527" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.291em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-9528" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9529" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-9530" class="mo">[</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9531" class="mo">]</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9532" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.673em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 4.18em; vertical-align: -3.262em;"></span></span></nobr></span><script id="MathJax-Element-464" type="math/tex">\begin{array}[t]{l}
 \forall id,ag_1,ag_2,a,attrs.~
 \\
 \qquad actedOnBehalfOf(id,ag_1,ag_2,a,attrs)
@@ -2199,70 +2199,70 @@
 \quad\Rightarrow
 \exists id_1,pl_1,id_2,pl_2.~wasAssociatedWith(id_1,a,ag_1,pl_1,[]) \wedge wasAssociatedWith(id_2,a,ag_2,pl_2,[])
 \end{array}</script></div>
-<div class="inference" number="15" id="influence-inference"><div class="ruleTitle"><a class="internalDFN" href="#influence-inference">Inference 15 (influence-inference)</a></div><ol><li><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-465-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-9533"><span style="display: inline-block; position: relative; width: 299px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 98.6px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-9534"><span class="mtable" id="MathJax-Span-9535" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 293px; height: 0px;"><span style="position: absolute; clip: rect(70.8px 19360px 144.6px -9px); top: -87px; left: 0px;"><span style="display: inline-block; position: relative; width: 293px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 53.7px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-9536"><span class="mrow" id="MathJax-Span-9537"><span class="mi" id="MathJax-Span-9538" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-9539" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-9540" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-9541" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9542" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-9543" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9544" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-9545" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9546" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-9547" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9548" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-9549" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-9550" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-9551" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-9552" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-9553" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-9554" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -23.3px; left: 0px;"><span class="mtd" id="MathJax-Span-9555"><span class="mrow" id="MathJax-Span-9556"><span class="mspace" id="MathJax-Span-9557" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-9558" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-9559" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-9560" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-9561" style="font-family: STIXGeneral-Italic;">G</span><span class="mi" id="MathJax-Span-9562" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-9563" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-9564" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-9565" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-9566" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-9567" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-9568" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-9569" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-9570" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-9571" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-9572" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-9573" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-9574" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-9575" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9576" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-9577" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9578" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-9579" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9580" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-9581" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9582" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-9583" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-9584" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-9585" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-9586" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-9587" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.8px 19360px 56px -9px); top: 1.6px; left: 0px;"><span class="mtd" id="MathJax-Span-9588"><span class="mrow" id="MathJax-Span-9589"><span class="mspace" id="MathJax-Span-9590" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-9591" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-9592" style="font-family: STIXGeneral-Italic; padding-left: 6px;">w</span><span class="mi" id="MathJax-Span-9593" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-9594" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-9595" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span class="mi" id="MathJax-Span-9596" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-9597" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-9598" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-9599" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-9600" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-9601" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-9602" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-9603" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-9604" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-9605" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-9606" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-9607" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-9608" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-9609" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-9610" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9611" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-9612" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9613" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-9614" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9615" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-9616" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-9617" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-9618" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-9619" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-9620" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 87px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 72.1px; vertical-align: -55.6px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-465">\begin{array}[t]{l}
+<div class="inference" number="15" id="influence-inference"><div class="ruleTitle"><a href="#influence-inference" class="internalDFN">Inference 15 (influence-inference)</a></div><ol><li><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-465-Frame" class="MathJax"><nobr><span id="MathJax-Span-9533" class="math"><span style="display: inline-block; position: relative; width: 271px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.04em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-9534" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-9535" class="mtable"><span style="display: inline-block; position: relative; width: 15.479em; height: 0px;"><span style="position: absolute; clip: rect(3.639em, 1000em, 7.493em, -0.526em); top: -4.498em; left: 0em;"><span style="display: inline-block; position: relative; width: 15.479em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.886em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-9536" class="mtd"><span id="MathJax-Span-9537" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-9538" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9539" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9540" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9541" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9542" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9543" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9544" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9545" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9546" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9547" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9548" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9549" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9550" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9551" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9552" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9553" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-9554" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: -1.296em; left: 0em;"><span id="MathJax-Span-9555" class="mtd"><span id="MathJax-Span-9556" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-9557" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9558" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9559" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9560" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9561" class="mi">G</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9562" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9563" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9564" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9565" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9566" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9567" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9568" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9569" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9570" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9571" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9572" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9573" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9574" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9575" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9576" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9577" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9578" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9579" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9580" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9581" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9582" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9583" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9584" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9585" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9586" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9587" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.526em); top: 0.043em; left: 0em;"><span id="MathJax-Span-9588" class="mtd"><span id="MathJax-Span-9589" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-9590" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9591" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-9592" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9593" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9594" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9595" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9596" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9597" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9598" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9599" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9600" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9601" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9602" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9603" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9604" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9605" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9606" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9607" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9608" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9609" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9610" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9611" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9612" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9613" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9614" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9615" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9616" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9617" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9618" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9619" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9620" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.498em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 3.998em; vertical-align: -3.08em;"></span></span></nobr></span><script id="MathJax-Element-465" type="math/tex">\begin{array}[t]{l}
 \forall id,e,a,t,attrs.~
 \\
 \qquad wasGeneratedBy(id,e,a,t,attrs)
 \\
 \quad\Rightarrow
 wasInfluencedBy(id,e,a,attrs)
-\end{array}</script></li><li><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-466-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-9621"><span style="display: inline-block; position: relative; width: 290px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 98px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-9622"><span class="mtable" id="MathJax-Span-9623" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 284px; height: 0px;"><span style="position: absolute; clip: rect(70.8px 19360px 144px -9px); top: -87px; left: 0px;"><span style="display: inline-block; position: relative; width: 284px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 53.7px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-9624"><span class="mrow" id="MathJax-Span-9625"><span class="mi" id="MathJax-Span-9626" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-9627" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-9628" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-9629" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9630" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-9631" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9632" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-9633" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9634" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-9635" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9636" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-9637" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-9638" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-9639" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-9640" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-9641" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-9642" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 54.4px -9px); top: -23.3px; left: 0px;"><span class="mtd" id="MathJax-Span-9643"><span class="mrow" id="MathJax-Span-9644"><span class="mspace" id="MathJax-Span-9645" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-9646" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-9647" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-9648" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-9649" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-9650" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-9651" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-9652" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-9653" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9654" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-9655" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9656" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-9657" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9658" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-9659" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9660" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-9661" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-9662" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-9663" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-9664" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-9665" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.8px 19360px 56px -9px); top: 1px; left: 0px;"><span class="mtd" id="MathJax-Span-9666"><span class="mrow" id="MathJax-Span-9667"><span class="mspace" id="MathJax-Span-9668" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-9669" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-9670" style="font-family: STIXGeneral-Italic; padding-left: 6px;">w</span><span class="mi" id="MathJax-Span-9671" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-9672" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-9673" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span class="mi" id="MathJax-Span-9674" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-9675" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-9676" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-9677" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-9678" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-9679" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-9680" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-9681" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-9682" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-9683" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-9684" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-9685" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-9686" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-9687" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-9688" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9689" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-9690" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9691" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-9692" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9693" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-9694" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-9695" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-9696" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-9697" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-9698" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 87px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 71.5px; vertical-align: -55px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-466">\begin{array}[t]{l}
+\end{array}</script></li><li><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-466-Frame" class="MathJax"><nobr><span id="MathJax-Span-9621" class="math"><span style="display: inline-block; position: relative; width: 263px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.011em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-9622" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-9623" class="mtable"><span style="display: inline-block; position: relative; width: 15.012em; height: 0px;"><span style="position: absolute; clip: rect(3.639em, 1000em, 7.464em, -0.526em); top: -4.498em; left: 0em;"><span style="display: inline-block; position: relative; width: 15.012em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.886em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-9624" class="mtd"><span id="MathJax-Span-9625" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-9626" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9627" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9628" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9629" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9630" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9631" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9632" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9633" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9634" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9635" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9636" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9637" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9638" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9639" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9640" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9641" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-9642" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.922em, -0.526em); top: -1.296em; left: 0em;"><span id="MathJax-Span-9643" class="mtd"><span id="MathJax-Span-9644" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-9645" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9646" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9647" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9648" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9649" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9650" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9651" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9652" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9653" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9654" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9655" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9656" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9657" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9658" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9659" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9660" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9661" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9662" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9663" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9664" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9665" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.526em); top: 0.014em; left: 0em;"><span id="MathJax-Span-9666" class="mtd"><span id="MathJax-Span-9667" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-9668" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9669" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-9670" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9671" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9672" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9673" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9674" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9675" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9676" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9677" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9678" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9679" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9680" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9681" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9682" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9683" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9684" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9685" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9686" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9687" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9688" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9689" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9690" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9691" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9692" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9693" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9694" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9695" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9696" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9697" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9698" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.498em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 3.967em; vertical-align: -3.049em;"></span></span></nobr></span><script id="MathJax-Element-466" type="math/tex">\begin{array}[t]{l}
 \forall id,a,e,t,attrs.~
 \\
 \qquad used(id,a,e,t,attrs)
 \\
 \quad\Rightarrow
 wasInfluencedBy(id,a,e,attrs)
-\end{array}</script></li><li><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-467-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-9699"><span style="display: inline-block; position: relative; width: 309px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 98.8px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-9700"><span class="mtable" id="MathJax-Span-9701" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 303px; height: 0px;"><span style="position: absolute; clip: rect(70.8px 19360px 144.8px -9px); top: -87px; left: 0px;"><span style="display: inline-block; position: relative; width: 303px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 53.9px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-9702"><span class="mrow" id="MathJax-Span-9703"><span class="mi" id="MathJax-Span-9704" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-9705" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-9706" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; 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position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-9748" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-9749" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-9750" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9751" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-9752" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-9753" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; 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top: -1.287em; left: 0em;"><span id="MathJax-Span-9723" class="mtd"><span id="MathJax-Span-9724" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-9725" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9726" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9727" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9728" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9729" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9730" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9731" class="mi">f<span style="display: inline-block; overflow: hidden; 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vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-9759" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9760" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-9761" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9762" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9763" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9764" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9765" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9766" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; 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height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9783" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-9784" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9785" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-9786" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9787" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9788" class="mi">a</span><span style="font-family: STIXGeneral; 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padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -23.2px; left: 0px;"><span class="mtd" id="MathJax-Span-9822"><span class="mrow" id="MathJax-Span-9823"><span class="mspace" id="MathJax-Span-9824" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-9825" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-9826" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-9827" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-9828" style="font-family: STIXGeneral-Italic;">S<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.2px;"></span></span><span class="mi" id="MathJax-Span-9829" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; 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padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-9846" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-9847" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-9848" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-9849" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-9850" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9851" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">t<span style="display: inline-block; 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width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.8px 19360px 56px -9px); top: 1.8px; left: 0px;"><span class="mtd" id="MathJax-Span-9859"><span class="mrow" id="MathJax-Span-9860"><span class="mspace" id="MathJax-Span-9861" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-9862" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-9863" style="font-family: STIXGeneral-Italic; padding-left: 6px;">w</span><span class="mi" id="MathJax-Span-9864" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-9865" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-9866" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span class="mi" id="MathJax-Span-9867" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-9868" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; 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overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-9881" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-9882" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-9883" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-9884" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-9885" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9886" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-9887" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-9888" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-9889" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-9890" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-9891" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-9892" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-9893" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 87px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 72.3px; vertical-align: -55.8px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-468">\begin{array}[t]{l}
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font-style: italic;" id="MathJax-Span-9800" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9801" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9802" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-9803" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9804" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-9805" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9806" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9807" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9808" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-9809" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9810" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-9811" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9812" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9813" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9814" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9815" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9816" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9817" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9818" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9819" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9820" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-9821" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: -1.287em; left: 0em;"><span id="MathJax-Span-9822" class="mtd"><span id="MathJax-Span-9823" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-9824" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9825" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9826" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9827" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9828" class="mi">S<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.008em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9829" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9830" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9831" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9832" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9833" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9834" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9835" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9836" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9837" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9838" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9839" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9840" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-9841" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9842" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-9843" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9844" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9845" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9846" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-9847" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9848" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-9849" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9850" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9851" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9852" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9853" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9854" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9855" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9856" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9857" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9858" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.526em); top: 0.052em; left: 0em;"><span id="MathJax-Span-9859" class="mtd"><span id="MathJax-Span-9860" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-9861" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9862" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-9863" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9864" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9865" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9866" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9867" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9868" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9869" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9870" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9871" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9872" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9873" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9874" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9875" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9876" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9877" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9878" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9879" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9880" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9881" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-9882" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9883" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-9884" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-9885" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9886" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9887" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-9888" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9889" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9890" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9891" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-9892" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-9893" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.498em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 4.008em; vertical-align: -3.09em;"></span></span></nobr></span><script id="MathJax-Element-468" type="math/tex">\begin{array}[t]{l}
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font-style: italic;" id="MathJax-Span-10062" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10063" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10064" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10065" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10066" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10067" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-10068" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10069" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10070" class="mi">d<span style="display: inline-block; overflow: hidden; 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padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -22.1px; left: 0px;"><span class="mtd" id="MathJax-Span-10112"><span class="mrow" id="MathJax-Span-10113"><span class="mspace" id="MathJax-Span-10114" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-10115" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-10116" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-10117" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-10118" style="font-family: STIXGeneral-Italic;">D</span><span class="mi" id="MathJax-Span-10119" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-10120" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; 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 \qquad wasDerivedFrom(id,e_2,e_1,a,g,u,attrs)
 \\
 \quad\Rightarrow
 wasInfluencedBy(id,e_2,e_1,attrs)
-\end{array}</script></li><li><p>In this rule, <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-472-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-10190"><span style="display: inline-block; position: relative; width: 10px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-10191"><span class="mi" id="MathJax-Span-10192" style="font-family: STIXGeneral-Italic;">a</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-472">a</script>,<span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-473-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-10193"><span style="display: inline-block; position: relative; width: 10px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-10194"><span class="mi" id="MathJax-Span-10195" style="font-family: STIXGeneral-Italic;">g</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 14.5px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-473">g</script>, or <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-474-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-10196"><span style="display: inline-block; position: relative; width: 10px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.2px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-10197"><span class="mi" id="MathJax-Span-10198" style="font-family: STIXGeneral-Italic;">u</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-474">u</script> may be placeholders -.</p><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-475-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-10199"><span style="display: inline-block; position: relative; width: 300px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 99.9px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-10200"><span class="mtable" id="MathJax-Span-10201" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 294px; height: 0px;"><span style="position: absolute; clip: rect(71.8px 19360px 146.9px -9px); top: -88px; left: 0px;"><span style="display: inline-block; position: relative; width: 294px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-10202"><span class="mrow" id="MathJax-Span-10203"><span class="mi" id="MathJax-Span-10204" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-10205" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-10206" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-10207" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-10208" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-10209" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-10210" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-10211" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-10212" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-10213" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-10214" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-10215" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-10216" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-10217" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-10218" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-10219" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -22.1px; left: 0px;"><span class="mtd" id="MathJax-Span-10220"><span class="mrow" id="MathJax-Span-10221"><span class="mspace" id="MathJax-Span-10222" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-10223" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-10224" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-10225" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-10226" style="font-family: STIXGeneral-Italic;">A</span><span class="mi" id="MathJax-Span-10227" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-10228" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-10229" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-10230" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-10231" style="font-family: STIXGeneral-Italic;">b</span><span class="mi" id="MathJax-Span-10232" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-10233" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-10234" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-10235" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-10236" style="font-family: STIXGeneral-Italic;">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.5px;"></span></span><span class="mi" id="MathJax-Span-10237" style="font-family: STIXGeneral-Italic;">o</span><span class="mo" id="MathJax-Span-10238" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-10239" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-10240" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-10241" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-10242" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-10243" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-10244" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-10245" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-10246" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-10247" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-10248" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-10249" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-10250" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-10251" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-10252" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.8px 19360px 56px -9px); top: 2.8px; left: 0px;"><span class="mtd" id="MathJax-Span-10253"><span class="mrow" id="MathJax-Span-10254"><span class="mspace" id="MathJax-Span-10255" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-10256" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-10257" style="font-family: STIXGeneral-Italic; padding-left: 6px;">w</span><span class="mi" id="MathJax-Span-10258" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-10259" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-10260" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span class="mi" id="MathJax-Span-10261" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-10262" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-10263" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-10264" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-10265" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-10266" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-10267" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-10268" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-10269" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-10270" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-10271" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-10272" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-10273" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-10274" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-10275" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-10276" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-10277" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-10278" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-10279" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-10280" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-10281" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-10282" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-10283" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-10284" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-10285" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-10286" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 88px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 73.3px; vertical-align: -56.9px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-475">\begin{array}[t]{l}
+\end{array}</script></li><li><p>In this rule, <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-472-Frame" class="MathJax"><nobr><span id="MathJax-Span-10190" class="math"><span style="display: inline-block; position: relative; width: 9px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-10191" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10192" class="mi">a</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.609em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-472" type="math/tex">a</script>,<span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-473-Frame" class="MathJax"><nobr><span id="MathJax-Span-10193" class="math"><span style="display: inline-block; position: relative; width: 9px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.951em, -0.518em); top: -2.57em; left: 0em;"><span id="MathJax-Span-10194" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10195" class="mi">g</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.817em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-473" type="math/tex">g</script>, or <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-474-Frame" class="MathJax"><nobr><span id="MathJax-Span-10196" class="math"><span style="display: inline-block; position: relative; width: 9px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.484em); top: -2.57em; left: 0em;"><span id="MathJax-Span-10197" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10198" class="mi">u</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.609em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-474" type="math/tex">u</script> may be placeholders -.</p><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-475-Frame" class="MathJax"><nobr><span id="MathJax-Span-10199" class="math"><span style="display: inline-block; position: relative; width: 272px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.105em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-10200" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-10201" class="mtable"><span style="display: inline-block; position: relative; width: 15.537em; height: 0px;"><span style="position: absolute; clip: rect(3.698em, 1000em, 7.616em, -0.526em); top: -4.556em; left: 0em;"><span style="display: inline-block; position: relative; width: 15.537em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-10202" class="mtd"><span id="MathJax-Span-10203" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-10204" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10205" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10206" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10207" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-10208" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-10209" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-10210" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10211" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-10212" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-10213" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10214" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10215" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10216" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10217" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-10218" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-10219" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: -1.231em; left: 0em;"><span id="MathJax-Span-10220" class="mtd"><span id="MathJax-Span-10221" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-10222" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10223" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10224" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10225" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10226" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10227" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10228" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10229" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10230" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10231" class="mi">b</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10232" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10233" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10234" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10235" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10236" class="mi">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.077em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10237" class="mi">o</span><span style="font-family: STIXGeneral;" id="MathJax-Span-10238" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10239" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10240" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; 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font-style: italic;" id="MathJax-Span-10274" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10275" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-10276" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-10277" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-10278" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10279" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-10280" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-10281" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10282" class="mi">t<span style="display: inline-block; 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top: -22.1px; left: 0px;"><span class="mtd" id="MathJax-Span-10315"><span class="mrow" id="MathJax-Span-10316"><span class="mspace" id="MathJax-Span-10317" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-10318" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-10319" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-10320" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-10321" style="font-family: STIXGeneral-Italic;">A</span><span class="mi" id="MathJax-Span-10322" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-10323" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-10324" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-10325" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-10326" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-10327" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-10328" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; 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position: relative; width: 307px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.105em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-10292" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-10293" class="mtable"><span style="display: inline-block; position: relative; width: 17.582em; height: 0px;"><span style="position: absolute; clip: rect(3.698em, 1000em, 7.616em, -0.526em); top: -4.556em; left: 0em;"><span style="display: inline-block; position: relative; width: 17.582em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-10294" class="mtd"><span id="MathJax-Span-10295" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-10296" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10297" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10298" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10299" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-10300" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-10301" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-10302" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10303" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-10304" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-10305" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10306" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10307" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-10308" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10309" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10310" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10311" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10312" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-10313" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-10314" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: -1.231em; left: 0em;"><span id="MathJax-Span-10315" class="mtd"><span id="MathJax-Span-10316" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-10317" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10318" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10319" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10320" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10321" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10322" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10323" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10324" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10325" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10326" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10327" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10328" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10329" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10330" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10331" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10332" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10333" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10334" class="mi">h</span><span style="font-family: STIXGeneral;" id="MathJax-Span-10335" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10336" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10337" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10338" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-10339" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-10340" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-10341" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10342" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-10343" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-10344" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10345" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10346" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-10347" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10348" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10349" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10350" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10351" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-10352" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.526em); top: 0.108em; left: 0em;"><span id="MathJax-Span-10353" class="mtd"><span id="MathJax-Span-10354" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-10355" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10356" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-10357" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10358" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10359" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10360" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10361" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10362" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10363" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10364" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10365" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10366" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10367" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10368" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10369" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10370" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10371" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-10372" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10373" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10374" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10375" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-10376" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-10377" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-10378" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10379" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-10380" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-10381" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10382" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10383" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10384" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10385" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-10386" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.556em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 4.068em; vertical-align: -3.149em;"></span></span></nobr></span><script id="MathJax-Element-477" type="math/tex">\begin{array}[t]{l}
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top: -21.4px; left: 0px;"><span class="mtd" id="MathJax-Span-10415"><span class="mrow" id="MathJax-Span-10416"><span class="mspace" id="MathJax-Span-10417" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-10418" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-10419" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-10420" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-10421" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-10422" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-10423" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-10424" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-10425" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-10426" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-10427" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-10428" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-10429" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; 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top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10444" class="mi">g</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.861em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-10445" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10446" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-10447" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-10448" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-10449" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10450" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10451" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10452" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10453" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-10454" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.987em, -0.526em); top: 0.179em; left: 0em;"><span id="MathJax-Span-10455" class="mtd"><span id="MathJax-Span-10456" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-10457" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10458" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-10459" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10460" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10461" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10462" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10463" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10464" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10465" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10466" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10467" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10468" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10469" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10470" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10471" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10472" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10473" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-10474" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10475" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10476" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10477" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-10478" class="mi">a</span><span id="MathJax-Span-10479" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.951em, -0.518em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10480" class="mi">g</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.861em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-10481" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10482" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-10483" class="mi">a</span><span id="MathJax-Span-10484" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.951em, -0.518em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10485" class="mi">g</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.861em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-10486" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10487" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-10488" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10489" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10490" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10491" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10492" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-10493" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.673em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 4.18em; vertical-align: -3.262em;"></span></span></nobr></span><script id="MathJax-Element-478" type="math/tex">\begin{array}[t]{l}
 \forall id,ag_2,ag_1,a,attrs.~
 \\
 \qquad actedOnBehalfOf(id,ag_2,ag_1,a,attrs)
@@ -2270,7 +2270,7 @@
 \quad\Rightarrow
 wasInfluencedBy(id,ag_2,ag_1,attrs)
 \end{array}</script></li></ol></div>
-<div class="inference" number="16" id="alternate-reflexive"><div class="ruleTitle"><a class="internalDFN" href="#alternate-reflexive">Inference 16 (alternate-reflexive)</a></div><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-479-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-10494"><span style="display: inline-block; position: relative; width: 178px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 97.2px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-10495"><span class="mtable" id="MathJax-Span-10496" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 172px; height: 0px;"><span style="position: absolute; clip: rect(69.2px 19360px 141.2px -9px); top: -85px; left: 0px;"><span style="display: inline-block; position: relative; width: 172px; height: 0px;"><span style="position: absolute; clip: rect(32.2px 19360px 51.2px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-10497"><span class="mrow" id="MathJax-Span-10498"><span class="mi" id="MathJax-Span-10499" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-10500" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-10501" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-10502" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.9px 19360px 55px -9px); top: -24.8px; left: 0px;"><span class="mtd" id="MathJax-Span-10503"><span class="mrow" id="MathJax-Span-10504"><span class="mspace" id="MathJax-Span-10505" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-10506" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-10507" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-10508" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-10509" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-10510" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-10511" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-10512" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-10513" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-10514" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.8px 19360px 56px -9px); top: 0.2px; left: 0px;"><span class="mtd" id="MathJax-Span-10515"><span class="mrow" id="MathJax-Span-10516"><span class="mspace" id="MathJax-Span-10517" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-10518" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-10519" style="font-family: STIXGeneral-Italic; padding-left: 6px;">a</span><span class="mi" id="MathJax-Span-10520" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-10521" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-10522" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-10523" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-10524" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-10525" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-10526" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-10527" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-10528" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-10529" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-10530" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-10531" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-10532" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-10533" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-10534" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 85px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 70.7px; vertical-align: -54.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-479">\begin{array}[t]{l}
+<div class="inference" number="16" id="alternate-reflexive"><div class="ruleTitle"><a href="#alternate-reflexive" class="internalDFN">Inference 16 (alternate-reflexive)</a></div><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-479-Frame" class="MathJax"><nobr><span id="MathJax-Span-10494" class="math"><span style="display: inline-block; position: relative; width: 163px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 4.966em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-10495" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-10496" class="mtable"><span style="display: inline-block; position: relative; width: 9.171em; height: 0px;"><span style="position: absolute; clip: rect(3.544em, 1000em, 7.302em, -0.526em); top: -4.381em; left: 0em;"><span style="display: inline-block; position: relative; width: 9.171em; height: 0px;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.756em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-10497" class="mtd"><span id="MathJax-Span-10498" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-10499" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10500" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-10501" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-10502" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.719em, 1000em, 2.951em, -0.526em); top: -1.37em; left: 0em;"><span id="MathJax-Span-10503" class="mtd"><span id="MathJax-Span-10504" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-10505" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10506" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10507" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10508" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10509" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10510" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10511" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-10512" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10513" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-10514" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.526em); top: -0.031em; left: 0em;"><span id="MathJax-Span-10515" class="mtd"><span id="MathJax-Span-10516" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-10517" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10518" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-10519" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10520" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10521" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10522" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10523" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10524" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10525" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10526" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10527" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10528" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10529" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10530" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10531" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-10532" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-10533" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-10534" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.381em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 3.919em; vertical-align: -3.001em;"></span></span></nobr></span><script id="MathJax-Element-479" type="math/tex">\begin{array}[t]{l}
 \forall e.~
 \\
 \qquad entity(e)
@@ -2279,10 +2279,10 @@
 alternateOf(e,e)
 \end{array}</script></div>
 <div class="proof">
-  <p> Suppose <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-480-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-10535"><span style="display: inline-block; position: relative; width: 96px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 54.4px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-10536"><span class="mi" id="MathJax-Span-10537" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-10538" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-10539" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-10540" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-10541" style="font-family: STIXGeneral-Italic; padding-left: 6px;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-10542" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-10543" style="font-family: STIXGeneral-Italic;">o</span><span class="mo" id="MathJax-Span-10544" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-10545" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-10546" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.6px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-480">ent = rho(e)</script>.  Clearly <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-481-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-10547"><span style="display: inline-block; position: relative; width: 89px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.3px 19360px 51.5px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-10548"><span class="mi" id="MathJax-Span-10549" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-10550" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-10551" style="font-family: STIXGeneral-Italic; padding-left: 6px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-10552" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-10553" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-10554" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-10555" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-10556" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-10557" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-10558" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.2px; vertical-align: -1.5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-481">e \in Entities</script> and
-  <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-482-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-10559"><span style="display: inline-block; position: relative; width: 190px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.3px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-10560"><span class="mi" id="MathJax-Span-10561" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-10562" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-10563" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-10564" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-10565" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-10566" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-10567" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-10568" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-10569" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-10570" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-10571" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-10572" style="font-family: STIXGeneral-Italic; padding-left: 6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-10573" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-10574" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-10575" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-10576" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-10577" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-10578" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-10579" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-10580" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-10581" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-482">thingOf(e) = thingOf(e)</script>, so <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-483-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-10582"><span style="display: inline-block; position: relative; width: 187px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-10583"><span class="mi" id="MathJax-Span-10584" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-10585" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-10586" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-10587" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-10588" style="font-family: STIXGeneral-Italic; padding-left: 6px;">a</span><span class="mi" id="MathJax-Span-10589" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-10590" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-10591" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-10592" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-10593" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-10594" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-10595" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-10596" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-10597" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-10598" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-10599" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-10600" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-10601" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-10602" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-10603" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-483">W,\rho \models alternateOf(e,e)</script>.</p>
+  <p> Suppose <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-480-Frame" class="MathJax"><nobr><span id="MathJax-Span-10535" class="math"><span style="display: inline-block; position: relative; width: 87px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.922em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-10536" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10537" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10538" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10539" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-10540" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-10541" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10542" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10543" class="mi">o</span><span style="font-family: STIXGeneral;" id="MathJax-Span-10544" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10545" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-10546" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.045em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-480" type="math/tex">ent = rho(e)</script>.  Clearly <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-481-Frame" class="MathJax"><nobr><span id="MathJax-Span-10547" class="math"><span style="display: inline-block; position: relative; width: 83px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.741em, 1000em, 2.772em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-10548" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10549" class="mi">e</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-10550" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-10551" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10552" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10553" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10554" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10555" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10556" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10557" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10558" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.854em; vertical-align: -0.091em;"></span></span></nobr></span><script id="MathJax-Element-481" type="math/tex">e \in Entities</script> and
+  <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-482-Frame" class="MathJax"><nobr><span id="MathJax-Span-10559" class="math"><span style="display: inline-block; position: relative; width: 170px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.488em); top: -2.57em; left: 0em;"><span id="MathJax-Span-10560" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10561" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10562" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10563" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10564" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10565" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10566" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10567" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10568" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10569" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-10570" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-10571" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-10572" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10573" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10574" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10575" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10576" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10577" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10578" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10579" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10580" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-10581" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-482" type="math/tex">thingOf(e) = thingOf(e)</script>, so <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-483-Frame" class="MathJax"><nobr><span id="MathJax-Span-10582" class="math"><span style="display: inline-block; position: relative; width: 171px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-10583" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10584" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10585" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-10586" class="mi">ρ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-10587" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-10588" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10589" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10590" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10591" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10592" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10593" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10594" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10595" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10596" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10597" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10598" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10599" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10600" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-10601" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-10602" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-10603" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-483" type="math/tex">W,\rho \models alternateOf(e,e)</script>.</p>
   </div>
-<div class="inference" number="17" id="alternate-transitive"><div class="ruleTitle"><a class="internalDFN" href="#alternate-transitive">Inference 17 (alternate-transitive)</a></div><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-484-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-10604"><span style="display: inline-block; position: relative; width: 357px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 99px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-10605"><span class="mtable" id="MathJax-Span-10606" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 351px; height: 0px;"><span style="position: absolute; clip: rect(71.2px 19360px 145px -9px); top: -87px; left: 0px;"><span style="display: inline-block; position: relative; width: 351px; height: 0px;"><span style="position: absolute; clip: rect(32.2px 19360px 54.1px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-10607"><span class="mrow" id="MathJax-Span-10608"><span class="mi" id="MathJax-Span-10609" style="font-family: STIXGeneral-Regular;">∀</span><span class="msubsup" id="MathJax-Span-10610"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-10611" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-10612" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-10613" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-10614" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-10615" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-10616" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-10617" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-10618" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-10619" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-10620" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">3</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-10621" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-10622" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -23px; left: 0px;"><span class="mtd" id="MathJax-Span-10623"><span class="mrow" id="MathJax-Span-10624"><span class="mspace" id="MathJax-Span-10625" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-10626" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-10627" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-10628" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-10629" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-10630" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-10631" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-10632" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-10633" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-10634" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-10635" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-10636" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-10637" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-10638"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-10639" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-10640" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-10641" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-10642" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-10643" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-10644" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-10645" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-10646" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-10647" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">a</span><span class="mi" id="MathJax-Span-10648" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-10649" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-10650" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-10651" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-10652" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-10653" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-10654" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-10655" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-10656" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-10657" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-10658" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-10659"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-10660" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-10661" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-10662" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-10663" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-10664" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-10665" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">3</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-10666" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.8px 19360px 56px -9px); top: 2px; left: 0px;"><span class="mtd" id="MathJax-Span-10667"><span class="mrow" id="MathJax-Span-10668"><span class="mspace" id="MathJax-Span-10669" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-10670" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-10671" style="font-family: STIXGeneral-Italic; padding-left: 6px;">a</span><span class="mi" id="MathJax-Span-10672" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-10673" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-10674" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-10675" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-10676" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-10677" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-10678" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-10679" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-10680" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-10681" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-10682" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-10683"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-10684" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-10685" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-10686" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-10687" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-10688" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-10689" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">3</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-10690" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 87px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 72.5px; vertical-align: -56px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-484">\begin{array}[t]{l}
+<div class="inference" number="17" id="alternate-transitive"><div class="ruleTitle"><a href="#alternate-transitive" class="internalDFN">Inference 17 (alternate-transitive)</a></div><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-484-Frame" class="MathJax"><nobr><span id="MathJax-Span-10604" class="math"><span style="display: inline-block; position: relative; width: 328px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.06em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-10605" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-10606" class="mtable"><span style="display: inline-block; position: relative; width: 18.808em; height: 0px;"><span style="position: absolute; clip: rect(3.66em, 1000em, 7.513em, -0.526em); top: -4.498em; left: 0em;"><span style="display: inline-block; position: relative; width: 18.808em; height: 0px;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.905em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-10607" class="mtd"><span id="MathJax-Span-10608" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-10609" class="mi">∀</span><span id="MathJax-Span-10610" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10611" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-10612" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10613" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-10614" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10615" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-10616" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10617" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-10618" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10619" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-10620" class="mn">3</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10621" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-10622" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.526em); top: -1.277em; left: 0em;"><span id="MathJax-Span-10623" class="mtd"><span id="MathJax-Span-10624" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-10625" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10626" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10627" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10628" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10629" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10630" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10631" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10632" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10633" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10634" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10635" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10636" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10637" class="mo">(</span><span id="MathJax-Span-10638" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10639" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-10640" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10641" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-10642" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10643" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-10644" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10645" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-10646" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-10647" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10648" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10649" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10650" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10651" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10652" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10653" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10654" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10655" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10656" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10657" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10658" class="mo">(</span><span id="MathJax-Span-10659" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10660" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-10661" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10662" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-10663" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10664" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-10665" class="mn">3</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10666" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.526em); top: 0.063em; left: 0em;"><span id="MathJax-Span-10667" class="mtd"><span id="MathJax-Span-10668" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-10669" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10670" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-10671" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10672" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10673" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10674" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10675" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10676" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10677" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10678" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10679" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10680" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10681" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10682" class="mo">(</span><span id="MathJax-Span-10683" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10684" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-10685" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10686" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-10687" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10688" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-10689" class="mn">3</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10690" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.498em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 4.02em; vertical-align: -3.101em;"></span></span></nobr></span><script id="MathJax-Element-484" type="math/tex">\begin{array}[t]{l}
 \forall e_1,e_2,e_3.~
 \\
 \qquad alternateOf(e_1,e_2) \wedge alternateOf(e_2,e_3)
@@ -2291,13 +2291,13 @@
 alternateOf(e_1,e_3)
 \end{array}</script></div>
 <div class="proof">
-  <p> Suppose <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-485-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-10691"><span style="display: inline-block; position: relative; width: 113px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 54.4px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-10692"><span class="mi" id="MathJax-Span-10693" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-10694" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-10695"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-10696" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-10697" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-10698" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-10699" style="font-family: STIXGeneral-Italic; padding-left: 6px;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-10700" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-10701" style="font-family: STIXGeneral-Italic;">o</span><span class="mo" id="MathJax-Span-10702" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-10703"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-10704" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-10705" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-10706" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.6px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-485">ent_1 = rho(e_1)</script> and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-486-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-10707"><span style="display: inline-block; position: relative; width: 96px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-10708"><span class="mi" id="MathJax-Span-10709" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-10710" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-10711"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-10712" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-10713" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-10714" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-10715" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-10716" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-10717"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-10718" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-10719" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-10720" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-486">ent_2 = \rho(e_2)</script> and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-487-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-10721"><span style="display: inline-block; position: relative; width: 96px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-10722"><span class="mi" id="MathJax-Span-10723" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-10724" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-10725"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-10726" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-10727" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">3</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-10728" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-10729" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-10730" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-10731"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-10732" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-10733" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">3</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-10734" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-487">ent_3 = \rho(e_3)</script>.  Then  by
-  assumption <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-488-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-10735"><span style="display: inline-block; position: relative; width: 33px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 53.9px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-10736"><span class="mi" id="MathJax-Span-10737" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-10738" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-10739"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-10740" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-10741" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -3.9px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-488">ent_1</script>, <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-489-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-10742"><span style="display: inline-block; position: relative; width: 33px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 53.9px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-10743"><span class="mi" id="MathJax-Span-10744" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-10745" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-10746"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-10747" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-10748" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -3.9px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-489">ent_2</script>, and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-490-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-10749"><span style="display: inline-block; position: relative; width: 33px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 54.1px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-10750"><span class="mi" id="MathJax-Span-10751" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-10752" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-10753"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-10754" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-10755" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">3</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.7px; vertical-align: -4.1px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-490">ent_3</script> are in <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-491-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-10756"><span style="display: inline-block; position: relative; width: 58px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.3px 19360px 51.3px -9px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-10757"><span class="mi" id="MathJax-Span-10758" style="font-family: STIXGeneral-Italic;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-10759" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-10760" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-10761" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-10762" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-10763" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-10764" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-10765" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 14.9px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-491">Entities</script> and
-  <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-492-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-10766"><span style="display: inline-block; position: relative; width: 207px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.3px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-10767"><span class="mi" id="MathJax-Span-10768" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-10769" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-10770" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-10771" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-10772" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-10773" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-10774" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-10775" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-10776"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-10777" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-10778" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-10779" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-10780" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-10781" style="font-family: STIXGeneral-Italic; padding-left: 6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-10782" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-10783" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-10784" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-10785" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-10786" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-10787" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-10788" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-10789"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-10790" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-10791" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-10792" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-492">thingOf(e_1) = thingOf(e_2)</script> and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-493-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-10793"><span style="display: inline-block; position: relative; width: 207px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.3px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-10794"><span class="mi" id="MathJax-Span-10795" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-10796" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-10797" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-10798" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-10799" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-10800" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-10801" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-10802" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-10803"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-10804" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-10805" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-10806" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-10807" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-10808" style="font-family: STIXGeneral-Italic; padding-left: 6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-10809" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-10810" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-10811" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-10812" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-10813" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-10814" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-10815" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-10816"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-10817" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-10818" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">3</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-10819" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-493">thingOf(e_2) = thingOf(e_3)</script>, so
-  <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-494-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-10820"><span style="display: inline-block; position: relative; width: 207px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.3px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-10821"><span class="mi" id="MathJax-Span-10822" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-10823" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-10824" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-10825" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-10826" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-10827" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-10828" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-10829" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-10830"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-10831" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-10832" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-10833" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-10834" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-10835" style="font-family: STIXGeneral-Italic; padding-left: 6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-10836" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-10837" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-10838" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-10839" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-10840" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-10841" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-10842" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-10843"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-10844" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-10845" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">3</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-10846" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-494">thingOf(e_1) = thingOf(e_3)</script>, as required to conclude <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-495-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-10847"><span style="display: inline-block; position: relative; width: 204px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-10848"><span class="mi" id="MathJax-Span-10849" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-10850" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-10851" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-10852" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-10853" style="font-family: STIXGeneral-Italic; padding-left: 6px;">a</span><span class="mi" id="MathJax-Span-10854" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-10855" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-10856" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-10857" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-10858" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-10859" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-10860" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-10861" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-10862" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-10863" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-10864" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-10865"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-10866" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-10867" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-10868" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-10869" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-10870" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-10871" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-10872" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-495">W,\rho
+  <p> Suppose <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-485-Frame" class="MathJax"><nobr><span id="MathJax-Span-10691" class="math"><span style="display: inline-block; position: relative; width: 101px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.922em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-10692" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10693" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10694" class="mi">n</span><span id="MathJax-Span-10695" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10696" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-10697" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-10698" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-10699" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10700" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10701" class="mi">o</span><span style="font-family: STIXGeneral;" id="MathJax-Span-10702" class="mo">(</span><span id="MathJax-Span-10703" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10704" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-10705" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10706" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.045em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-485" type="math/tex">ent_1 = rho(e_1)</script> and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-486-Frame" class="MathJax"><nobr><span id="MathJax-Span-10707" class="math"><span style="display: inline-block; position: relative; width: 86px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.95em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-10708" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10709" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10710" class="mi">n</span><span id="MathJax-Span-10711" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10712" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-10713" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-10714" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-10715" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-10716" class="mo">(</span><span id="MathJax-Span-10717" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10718" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-10719" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10720" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.068em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-486" type="math/tex">ent_2 = \rho(e_2)</script> and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-487-Frame" class="MathJax"><nobr><span id="MathJax-Span-10721" class="math"><span style="display: inline-block; position: relative; width: 86px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.95em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-10722" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10723" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10724" class="mi">n</span><span id="MathJax-Span-10725" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10726" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-10727" class="mn">3</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-10728" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-10729" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-10730" class="mo">(</span><span id="MathJax-Span-10731" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10732" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-10733" class="mn">3</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10734" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.068em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-487" type="math/tex">ent_3 = \rho(e_3)</script>.  Then  by
+  assumption <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-488-Frame" class="MathJax"><nobr><span id="MathJax-Span-10735" class="math"><span style="display: inline-block; position: relative; width: 28px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.895em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-10736" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10737" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10738" class="mi">n</span><span id="MathJax-Span-10739" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10740" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-10741" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.223em;"></span></span></nobr></span><script id="MathJax-Element-488" type="math/tex">ent_1</script>, <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-489-Frame" class="MathJax"><nobr><span id="MathJax-Span-10742" class="math"><span style="display: inline-block; position: relative; width: 28px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.895em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-10743" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10744" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10745" class="mi">n</span><span id="MathJax-Span-10746" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10747" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-10748" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.223em;"></span></span></nobr></span><script id="MathJax-Element-489" type="math/tex">ent_2</script>, and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-490-Frame" class="MathJax"><nobr><span id="MathJax-Span-10749" class="math"><span style="display: inline-block; position: relative; width: 28px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.905em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-10750" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10751" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10752" class="mi">n</span><span id="MathJax-Span-10753" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10754" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-10755" class="mn">3</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.88em; vertical-align: -0.234em;"></span></span></nobr></span><script id="MathJax-Element-490" type="math/tex">ent_3</script> are in <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-491-Frame" class="MathJax"><nobr><span id="MathJax-Span-10756" class="math"><span style="display: inline-block; position: relative; width: 53px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.741em, 1000em, 2.758em, -0.527em); top: -2.57em; left: 0em;"><span id="MathJax-Span-10757" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10758" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10759" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10760" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10761" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10762" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10763" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10764" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10765" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.839em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-491" type="math/tex">Entities</script> and
+  <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-492-Frame" class="MathJax"><nobr><span id="MathJax-Span-10766" class="math"><span style="display: inline-block; position: relative; width: 186px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.488em); top: -2.57em; left: 0em;"><span id="MathJax-Span-10767" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10768" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10769" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10770" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10771" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10772" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10773" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10774" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10775" class="mo">(</span><span id="MathJax-Span-10776" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10777" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-10778" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10779" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-10780" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-10781" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10782" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10783" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10784" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10785" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10786" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10787" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10788" class="mo">(</span><span id="MathJax-Span-10789" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10790" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-10791" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10792" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-492" type="math/tex">thingOf(e_1) = thingOf(e_2)</script> and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-493-Frame" class="MathJax"><nobr><span id="MathJax-Span-10793" class="math"><span style="display: inline-block; position: relative; width: 186px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.488em); top: -2.57em; left: 0em;"><span id="MathJax-Span-10794" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10795" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10796" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10797" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10798" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10799" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10800" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10801" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10802" class="mo">(</span><span id="MathJax-Span-10803" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10804" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-10805" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10806" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-10807" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-10808" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10809" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10810" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10811" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10812" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10813" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10814" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10815" class="mo">(</span><span id="MathJax-Span-10816" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10817" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-10818" class="mn">3</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10819" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-493" type="math/tex">thingOf(e_2) = thingOf(e_3)</script>, so
+  <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-494-Frame" class="MathJax"><nobr><span id="MathJax-Span-10820" class="math"><span style="display: inline-block; position: relative; width: 186px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.488em); top: -2.57em; left: 0em;"><span id="MathJax-Span-10821" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10822" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10823" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10824" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10825" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10826" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10827" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10828" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10829" class="mo">(</span><span id="MathJax-Span-10830" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10831" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-10832" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10833" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-10834" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-10835" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10836" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10837" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10838" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10839" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10840" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10841" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10842" class="mo">(</span><span id="MathJax-Span-10843" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10844" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-10845" class="mn">3</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10846" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-494" type="math/tex">thingOf(e_1) = thingOf(e_3)</script>, as required to conclude <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-495-Frame" class="MathJax"><nobr><span id="MathJax-Span-10847" class="math"><span style="display: inline-block; position: relative; width: 186px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-10848" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10849" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10850" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-10851" class="mi">ρ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-10852" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-10853" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10854" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10855" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10856" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10857" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10858" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10859" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10860" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10861" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10862" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10863" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10864" class="mo">(</span><span id="MathJax-Span-10865" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10866" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-10867" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10868" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-10869" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10870" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-10871" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10872" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-495" type="math/tex">W,\rho
   \models alternateOf(e_2,e_1)</script>.</p>
   </div>
-<div class="inference" number="18" id="alternate-symmetric"><div class="ruleTitle"><a class="internalDFN" href="#alternate-symmetric">Inference 18 (alternate-symmetric)</a></div><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-496-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-10873"><span style="display: inline-block; position: relative; width: 195px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 98.8px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-10874"><span class="mtable" id="MathJax-Span-10875" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 189px; height: 0px;"><span style="position: absolute; clip: rect(71.2px 19360px 144.8px -9px); top: -87px; left: 0px;"><span style="display: inline-block; position: relative; width: 189px; height: 0px;"><span style="position: absolute; clip: rect(32.2px 19360px 53.9px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-10876"><span class="mrow" id="MathJax-Span-10877"><span class="mi" id="MathJax-Span-10878" style="font-family: STIXGeneral-Regular;">∀</span><span class="msubsup" id="MathJax-Span-10879"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-10880" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-10881" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-10882" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-10883" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-10884" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-10885" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-10886" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-10887" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -23.2px; left: 0px;"><span class="mtd" id="MathJax-Span-10888"><span class="mrow" id="MathJax-Span-10889"><span class="mspace" id="MathJax-Span-10890" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-10891" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-10892" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-10893" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-10894" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-10895" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-10896" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-10897" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-10898" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-10899" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-10900" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-10901" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-10902" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-10903"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-10904" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-10905" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-10906" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-10907" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-10908" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-10909" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-10910" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.8px 19360px 56px -9px); top: 1.8px; left: 0px;"><span class="mtd" id="MathJax-Span-10911"><span class="mrow" id="MathJax-Span-10912"><span class="mspace" id="MathJax-Span-10913" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-10914" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-10915" style="font-family: STIXGeneral-Italic; padding-left: 6px;">a</span><span class="mi" id="MathJax-Span-10916" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-10917" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-10918" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-10919" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-10920" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-10921" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-10922" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-10923" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-10924" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-10925" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-10926" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-10927"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-10928" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-10929" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-10930" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-10931" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-10932" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-10933" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-10934" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 87px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 72.3px; vertical-align: -55.8px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-496">\begin{array}[t]{l}
+<div class="inference" number="18" id="alternate-symmetric"><div class="ruleTitle"><a href="#alternate-symmetric" class="internalDFN">Inference 18 (alternate-symmetric)</a></div><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-496-Frame" class="MathJax"><nobr><span id="MathJax-Span-10873" class="math"><span style="display: inline-block; position: relative; width: 178px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.05em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-10874" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-10875" class="mtable"><span style="display: inline-block; position: relative; width: 10.047em; height: 0px;"><span style="position: absolute; clip: rect(3.66em, 1000em, 7.503em, -0.526em); top: -4.498em; left: 0em;"><span style="display: inline-block; position: relative; width: 10.047em; height: 0px;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.895em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-10876" class="mtd"><span id="MathJax-Span-10877" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-10878" class="mi">∀</span><span id="MathJax-Span-10879" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10880" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-10881" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10882" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-10883" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10884" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-10885" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10886" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-10887" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.526em); top: -1.287em; left: 0em;"><span id="MathJax-Span-10888" class="mtd"><span id="MathJax-Span-10889" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-10890" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10891" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10892" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10893" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10894" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10895" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10896" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10897" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10898" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10899" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10900" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10901" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10902" class="mo">(</span><span id="MathJax-Span-10903" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10904" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-10905" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10906" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-10907" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10908" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-10909" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10910" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.526em); top: 0.053em; left: 0em;"><span id="MathJax-Span-10911" class="mtd"><span id="MathJax-Span-10912" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-10913" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10914" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-10915" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10916" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10917" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10918" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10919" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10920" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10921" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10922" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10923" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10924" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10925" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10926" class="mo">(</span><span id="MathJax-Span-10927" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10928" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-10929" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10930" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-10931" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10932" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-10933" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10934" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.498em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 4.009em; vertical-align: -3.091em;"></span></span></nobr></span><script id="MathJax-Element-496" type="math/tex">\begin{array}[t]{l}
 \forall e_1,e_2.~
 \\
 \qquad alternateOf(e_1,e_2)
@@ -2306,13 +2306,13 @@
 alternateOf(e_2,e_1)
 \end{array}</script></div>
 <div class="proof">
-  <p> Suppose <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-497-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-10935"><span style="display: inline-block; position: relative; width: 113px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 54.4px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-10936"><span class="mi" id="MathJax-Span-10937" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-10938" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-10939"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-10940" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-10941" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-10942" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-10943" style="font-family: STIXGeneral-Italic; padding-left: 6px;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-10944" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-10945" style="font-family: STIXGeneral-Italic;">o</span><span class="mo" id="MathJax-Span-10946" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-10947"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-10948" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-10949" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-10950" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.6px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-497">ent_1 = rho(e_1)</script> and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-498-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-10951"><span style="display: inline-block; position: relative; width: 96px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-10952"><span class="mi" id="MathJax-Span-10953" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-10954" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-10955"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-10956" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-10957" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-10958" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-10959" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-10960" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-10961"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-10962" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-10963" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-10964" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-498">ent_2 = \rho(e_2)</script>.  Then  by
-  assumption both <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-499-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-10965"><span style="display: inline-block; position: relative; width: 33px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 53.9px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-10966"><span class="mi" id="MathJax-Span-10967" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-10968" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-10969"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-10970" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-10971" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -3.9px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-499">ent_1</script> and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-500-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-10972"><span style="display: inline-block; position: relative; width: 33px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 53.9px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-10973"><span class="mi" id="MathJax-Span-10974" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-10975" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-10976"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-10977" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-10978" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -3.9px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-500">ent_2</script> are in <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-501-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-10979"><span style="display: inline-block; position: relative; width: 58px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.3px 19360px 51.3px -9px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-10980"><span class="mi" id="MathJax-Span-10981" style="font-family: STIXGeneral-Italic;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-10982" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-10983" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-10984" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-10985" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-10986" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-10987" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-10988" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 14.9px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-501">Entities</script> and
-  <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-502-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-10989"><span style="display: inline-block; position: relative; width: 207px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.3px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-10990"><span class="mi" id="MathJax-Span-10991" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-10992" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-10993" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-10994" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-10995" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-10996" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-10997" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-10998" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-10999"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11000" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-11001" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11002" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-11003" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-11004" style="font-family: STIXGeneral-Italic; padding-left: 6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11005" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-11006" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11007" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-11008" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-11009" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-11010" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-11011" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-11012"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11013" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-11014" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11015" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-502">thingOf(e_1) = thingOf(e_2)</script>, as required to conclude <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-503-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11016"><span style="display: inline-block; position: relative; width: 204px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-11017"><span class="mi" id="MathJax-Span-11018" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-11019" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-11020" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-11021" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-11022" style="font-family: STIXGeneral-Italic; padding-left: 6px;">a</span><span class="mi" id="MathJax-Span-11023" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-11024" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11025" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-11026" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-11027" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-11028" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-11029" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11030" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-11031" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-11032" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-11033" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-11034"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11035" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-11036" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11037" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-11038" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11039" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-11040" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11041" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-503">W,\rho
+  <p> Suppose <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-497-Frame" class="MathJax"><nobr><span id="MathJax-Span-10935" class="math"><span style="display: inline-block; position: relative; width: 101px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.922em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-10936" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10937" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10938" class="mi">n</span><span id="MathJax-Span-10939" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10940" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-10941" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-10942" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-10943" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10944" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10945" class="mi">o</span><span style="font-family: STIXGeneral;" id="MathJax-Span-10946" class="mo">(</span><span id="MathJax-Span-10947" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10948" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-10949" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10950" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.045em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-497" type="math/tex">ent_1 = rho(e_1)</script> and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-498-Frame" class="MathJax"><nobr><span id="MathJax-Span-10951" class="math"><span style="display: inline-block; position: relative; width: 86px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.95em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-10952" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10953" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10954" class="mi">n</span><span id="MathJax-Span-10955" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10956" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-10957" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-10958" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-10959" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-10960" class="mo">(</span><span id="MathJax-Span-10961" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10962" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-10963" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10964" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.068em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-498" type="math/tex">ent_2 = \rho(e_2)</script>.  Then  by
+  assumption both <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-499-Frame" class="MathJax"><nobr><span id="MathJax-Span-10965" class="math"><span style="display: inline-block; position: relative; width: 28px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.895em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-10966" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10967" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10968" class="mi">n</span><span id="MathJax-Span-10969" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10970" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-10971" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.223em;"></span></span></nobr></span><script id="MathJax-Element-499" type="math/tex">ent_1</script> and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-500-Frame" class="MathJax"><nobr><span id="MathJax-Span-10972" class="math"><span style="display: inline-block; position: relative; width: 28px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.895em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-10973" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10974" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10975" class="mi">n</span><span id="MathJax-Span-10976" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10977" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-10978" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.223em;"></span></span></nobr></span><script id="MathJax-Element-500" type="math/tex">ent_2</script> are in <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-501-Frame" class="MathJax"><nobr><span id="MathJax-Span-10979" class="math"><span style="display: inline-block; position: relative; width: 53px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.741em, 1000em, 2.758em, -0.527em); top: -2.57em; left: 0em;"><span id="MathJax-Span-10980" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10981" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10982" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10983" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10984" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10985" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10986" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10987" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10988" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.839em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-501" type="math/tex">Entities</script> and
+  <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-502-Frame" class="MathJax"><nobr><span id="MathJax-Span-10989" class="math"><span style="display: inline-block; position: relative; width: 186px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.488em); top: -2.57em; left: 0em;"><span id="MathJax-Span-10990" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10991" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10992" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10993" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10994" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10995" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10996" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-10997" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-10998" class="mo">(</span><span id="MathJax-Span-10999" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11000" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11001" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11002" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-11003" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-11004" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11005" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11006" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11007" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11008" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11009" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11010" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11011" class="mo">(</span><span id="MathJax-Span-11012" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11013" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11014" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11015" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-502" type="math/tex">thingOf(e_1) = thingOf(e_2)</script>, as required to conclude <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-503-Frame" class="MathJax"><nobr><span id="MathJax-Span-11016" class="math"><span style="display: inline-block; position: relative; width: 186px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-11017" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11018" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11019" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-11020" class="mi">ρ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-11021" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-11022" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11023" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11024" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11025" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11026" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11027" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11028" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11029" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11030" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11031" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11032" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11033" class="mo">(</span><span id="MathJax-Span-11034" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11035" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11036" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11037" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-11038" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11039" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11040" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11041" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-503" type="math/tex">W,\rho
   \models alternateOf(e_2,e_1)</script>.</p>
   </div>
   
-<div class="inference" number="19" id="specialization-transitive"><div class="ruleTitle"><a class="internalDFN" href="#specialization-transitive">Inference 19 (specialization-transitive)</a></div><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-504-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11042"><span style="display: inline-block; position: relative; width: 429px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 99px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-11043"><span class="mtable" id="MathJax-Span-11044" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 423px; height: 0px;"><span style="position: absolute; clip: rect(71.2px 19360px 145px -9px); top: -87px; left: 0px;"><span style="display: inline-block; position: relative; width: 423px; height: 0px;"><span style="position: absolute; clip: rect(32.2px 19360px 54.1px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-11045"><span class="mrow" id="MathJax-Span-11046"><span class="mi" id="MathJax-Span-11047" style="font-family: STIXGeneral-Regular;">∀</span><span class="msubsup" id="MathJax-Span-11048"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11049" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-11050" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11051" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-11052" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11053" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-11054" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11055" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-11056" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11057" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-11058" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">3</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11059" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-11060" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -23px; left: 0px;"><span class="mtd" id="MathJax-Span-11061"><span class="mrow" id="MathJax-Span-11062"><span class="mspace" id="MathJax-Span-11063" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-11064" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-11065" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-11066" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-11067" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-11068" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11069" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-11070" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-11071" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11072" style="font-family: STIXGeneral-Italic;">z</span><span class="mi" id="MathJax-Span-11073" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-11074" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11075" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11076" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-11077" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-11078" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-11079" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-11080" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-11081"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11082" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-11083" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11084" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-11085" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11086" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-11087" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11088" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-11089" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-11090" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">s</span><span class="mi" id="MathJax-Span-11091" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-11092" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-11093" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-11094" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11095" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-11096" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-11097" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11098" style="font-family: STIXGeneral-Italic;">z</span><span class="mi" id="MathJax-Span-11099" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-11100" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11101" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11102" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-11103" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-11104" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-11105" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-11106" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-11107"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11108" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-11109" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11110" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-11111" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11112" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-11113" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">3</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11114" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.8px 19360px 56px -9px); top: 2px; left: 0px;"><span class="mtd" id="MathJax-Span-11115"><span class="mrow" id="MathJax-Span-11116"><span class="mspace" id="MathJax-Span-11117" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-11118" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-11119" style="font-family: STIXGeneral-Italic; padding-left: 6px;">s</span><span class="mi" id="MathJax-Span-11120" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-11121" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-11122" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-11123" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11124" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-11125" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-11126" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11127" style="font-family: STIXGeneral-Italic;">z</span><span class="mi" id="MathJax-Span-11128" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-11129" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11130" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11131" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-11132" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-11133" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-11134" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-11135" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-11136"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11137" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-11138" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11139" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-11140" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11141" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-11142" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">3</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11143" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 87px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 72.5px; vertical-align: -56px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-504">\begin{array}[t]{l}
+<div class="inference" number="19" id="specialization-transitive"><div class="ruleTitle"><a href="#specialization-transitive" class="internalDFN">Inference 19 (specialization-transitive)</a></div><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-504-Frame" class="MathJax"><nobr><span id="MathJax-Span-11042" class="math"><span style="display: inline-block; position: relative; width: 393px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.06em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-11043" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-11044" class="mtable"><span style="display: inline-block; position: relative; width: 22.605em; height: 0px;"><span style="position: absolute; clip: rect(3.66em, 1000em, 7.513em, -0.526em); top: -4.498em; left: 0em;"><span style="display: inline-block; position: relative; width: 22.605em; height: 0px;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.905em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-11045" class="mtd"><span id="MathJax-Span-11046" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-11047" class="mi">∀</span><span id="MathJax-Span-11048" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11049" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11050" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11051" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-11052" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11053" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11054" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11055" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-11056" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11057" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11058" class="mn">3</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11059" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-11060" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.526em); top: -1.277em; left: 0em;"><span id="MathJax-Span-11061" class="mtd"><span id="MathJax-Span-11062" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-11063" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11064" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11065" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11066" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11067" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11068" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11069" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11070" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11071" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11072" class="mi">z</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11073" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11074" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11075" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11076" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11077" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11078" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11079" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11080" class="mo">(</span><span id="MathJax-Span-11081" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11082" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11083" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11084" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-11085" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11086" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11087" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11088" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-11089" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-11090" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11091" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11092" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11093" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11094" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11095" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11096" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11097" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11098" class="mi">z</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11099" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11100" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11101" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11102" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11103" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11104" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11105" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11106" class="mo">(</span><span id="MathJax-Span-11107" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11108" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11109" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11110" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-11111" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11112" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11113" class="mn">3</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11114" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.526em); top: 0.063em; left: 0em;"><span id="MathJax-Span-11115" class="mtd"><span id="MathJax-Span-11116" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-11117" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11118" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-11119" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11120" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11121" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11122" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11123" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11124" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11125" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11126" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11127" class="mi">z</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11128" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11129" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11130" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11131" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11132" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11133" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11134" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11135" class="mo">(</span><span id="MathJax-Span-11136" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11137" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11138" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11139" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-11140" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11141" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11142" class="mn">3</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11143" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.498em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 4.02em; vertical-align: -3.101em;"></span></span></nobr></span><script id="MathJax-Element-504" type="math/tex">\begin{array}[t]{l}
 \forall e_1,e_2,e_3.~
 \\
 \qquad specializationOf(e_1,e_2) \wedge specializationOf(e_2,e_3)
@@ -2321,18 +2321,18 @@
 specializationOf(e_1,e_3)
 \end{array}</script></div>
 <div class="proof">
-  <p> Suppose the conditions for specialization hold of <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-505-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11144"><span style="display: inline-block; position: relative; width: 33px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 53.9px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-11145"><span class="mi" id="MathJax-Span-11146" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-11147" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-11148"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11149" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-11150" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -3.9px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-505">ent_1</script> and
-  <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-506-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11151"><span style="display: inline-block; position: relative; width: 33px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 53.9px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-11152"><span class="mi" id="MathJax-Span-11153" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-11154" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-11155"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11156" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-11157" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -3.9px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-506">ent_2</script> and for <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-507-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11158"><span style="display: inline-block; position: relative; width: 33px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 53.9px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-11159"><span class="mi" id="MathJax-Span-11160" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-11161" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-11162"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11163" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-11164" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -3.9px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-507">ent_2</script> and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-508-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11165"><span style="display: inline-block; position: relative; width: 33px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 54.1px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-11166"><span class="mi" id="MathJax-Span-11167" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-11168" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-11169"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11170" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-11171" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">3</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.7px; vertical-align: -4.1px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-508">ent_3</script>, where <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-509-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11172"><span style="display: inline-block; position: relative; width: 96px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-11173"><span class="mi" id="MathJax-Span-11174" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-11175" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-11176"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11177" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-11178" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11179" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-11180" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-11181" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-11182"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11183" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-11184" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11185" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-509">ent_1 = \rho(e_1)</script> and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-510-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11186"><span style="display: inline-block; position: relative; width: 96px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-11187"><span class="mi" id="MathJax-Span-11188" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-11189" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-11190"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11191" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-11192" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11193" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-11194" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-11195" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-11196"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11197" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-11198" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11199" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-510">ent_2 = \rho(e_2)</script> and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-511-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11200"><span style="display: inline-block; position: relative; width: 96px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-11201"><span class="mi" id="MathJax-Span-11202" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-11203" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-11204"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11205" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-11206" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">3</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11207" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-11208" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-11209" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-11210"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11211" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-11212" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">3</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11213" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-511">ent_3 =
-  \rho(e_3)</script>. Then <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-512-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11214"><span style="display: inline-block; position: relative; width: 310px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.2px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-11215"><span class="mi" id="MathJax-Span-11216" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-11217" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11218" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-11219" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-11220" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11221" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11222" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-11223" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-11224" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-11225"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11226" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-11227" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11228" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-11229" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊆</span><span class="mi" id="MathJax-Span-11230" style="font-family: STIXGeneral-Italic; padding-left: 6px;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-11231" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11232" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-11233" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-11234" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11235" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11236" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-11237" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-11238" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-11239"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11240" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-11241" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11242" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-11243" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊆</span><span class="mi" id="MathJax-Span-11244" style="font-family: STIXGeneral-Italic; padding-left: 6px;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-11245" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11246" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-11247" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-11248" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11249" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11250" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-11251" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-11252" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-11253"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11254" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-11255" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">3</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11256" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-512">lifetime(e_1) \subseteq lifetime(e_2) \subseteq
+  <p> Suppose the conditions for specialization hold of <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-505-Frame" class="MathJax"><nobr><span id="MathJax-Span-11144" class="math"><span style="display: inline-block; position: relative; width: 28px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.895em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-11145" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11146" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11147" class="mi">n</span><span id="MathJax-Span-11148" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11149" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11150" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.223em;"></span></span></nobr></span><script id="MathJax-Element-505" type="math/tex">ent_1</script> and
+  <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-506-Frame" class="MathJax"><nobr><span id="MathJax-Span-11151" class="math"><span style="display: inline-block; position: relative; width: 28px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.895em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-11152" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11153" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11154" class="mi">n</span><span id="MathJax-Span-11155" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11156" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11157" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.223em;"></span></span></nobr></span><script id="MathJax-Element-506" type="math/tex">ent_2</script> and for <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-507-Frame" class="MathJax"><nobr><span id="MathJax-Span-11158" class="math"><span style="display: inline-block; position: relative; width: 28px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.895em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-11159" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11160" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11161" class="mi">n</span><span id="MathJax-Span-11162" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11163" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11164" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.223em;"></span></span></nobr></span><script id="MathJax-Element-507" type="math/tex">ent_2</script> and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-508-Frame" class="MathJax"><nobr><span id="MathJax-Span-11165" class="math"><span style="display: inline-block; position: relative; width: 28px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.905em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-11166" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11167" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11168" class="mi">n</span><span id="MathJax-Span-11169" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11170" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11171" class="mn">3</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.88em; vertical-align: -0.234em;"></span></span></nobr></span><script id="MathJax-Element-508" type="math/tex">ent_3</script>, where <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-509-Frame" class="MathJax"><nobr><span id="MathJax-Span-11172" class="math"><span style="display: inline-block; position: relative; width: 86px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.95em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-11173" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11174" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11175" class="mi">n</span><span id="MathJax-Span-11176" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11177" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11178" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-11179" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-11180" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11181" class="mo">(</span><span id="MathJax-Span-11182" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11183" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11184" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11185" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.068em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-509" type="math/tex">ent_1 = \rho(e_1)</script> and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-510-Frame" class="MathJax"><nobr><span id="MathJax-Span-11186" class="math"><span style="display: inline-block; position: relative; width: 86px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.95em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-11187" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11188" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11189" class="mi">n</span><span id="MathJax-Span-11190" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11191" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11192" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-11193" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-11194" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11195" class="mo">(</span><span id="MathJax-Span-11196" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11197" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11198" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11199" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.068em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-510" type="math/tex">ent_2 = \rho(e_2)</script> and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-511-Frame" class="MathJax"><nobr><span id="MathJax-Span-11200" class="math"><span style="display: inline-block; position: relative; width: 86px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.95em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-11201" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11202" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11203" class="mi">n</span><span id="MathJax-Span-11204" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11205" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11206" class="mn">3</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-11207" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-11208" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11209" class="mo">(</span><span id="MathJax-Span-11210" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11211" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11212" class="mn">3</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11213" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.068em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-511" type="math/tex">ent_3 =
+  \rho(e_3)</script>. Then <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-512-Frame" class="MathJax"><nobr><span id="MathJax-Span-11214" class="math"><span style="display: inline-block; position: relative; width: 287px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.485em); top: -2.57em; left: 0em;"><span id="MathJax-Span-11215" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11216" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11217" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11218" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11219" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11220" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11221" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11222" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11223" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11224" class="mo">(</span><span id="MathJax-Span-11225" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11226" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11227" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11228" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-11229" class="mo">⊆</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-11230" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11231" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11232" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11233" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11234" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11235" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11236" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11237" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11238" class="mo">(</span><span id="MathJax-Span-11239" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11240" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11241" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11242" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-11243" class="mo">⊆</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-11244" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11245" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11246" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11247" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11248" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11249" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11250" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11251" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11252" class="mo">(</span><span id="MathJax-Span-11253" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11254" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11255" class="mn">3</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11256" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-512" type="math/tex">lifetime(e_1) \subseteq lifetime(e_2) \subseteq
   lifetime(e_3)</script>.  Moreover, 
-  <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-513-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11257"><span style="display: inline-block; position: relative; width: 270px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55.9px -8.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-11258"><span class="mi" id="MathJax-Span-11259" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-11260" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-11261" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-11262" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-11263" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-11264" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-11265" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-11266" style="font-family: STIXGeneral-Italic;">b</span><span class="msubsup" id="MathJax-Span-11267"><span style="display: inline-block; position: relative; width: 13.4px; height: 0px;"><span style="position: absolute; clip: rect(32.4px 19360px 55px -11.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11268" style="font-family: STIXGeneral-Italic;">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 5px;"><span class="mn" id="MathJax-Span-11269" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11270" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-11271" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-11272" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11273" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11274" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mo" id="MathJax-Span-11275" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-11276" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊇</span><span class="mi" id="MathJax-Span-11277" style="font-family: STIXGeneral-Italic; padding-left: 6px;">v</span><span class="mi" id="MathJax-Span-11278" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-11279" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-11280" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-11281" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-11282" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-11283" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-11284" style="font-family: STIXGeneral-Italic;">b</span><span class="msubsup" id="MathJax-Span-11285"><span style="display: inline-block; position: relative; width: 13.4px; height: 0px;"><span style="position: absolute; clip: rect(32.4px 19360px 55px -11.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11286" style="font-family: STIXGeneral-Italic;">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 5px;"><span class="mn" id="MathJax-Span-11287" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">3</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11288" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-11289" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-11290" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11291" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11292" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mo" id="MathJax-Span-11293" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 20.1px; vertical-align: -5.9px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-513">value(obj_2,attr) \supseteq value(obj_3,attr)</script>, and similarly
-  <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-514-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11294"><span style="display: inline-block; position: relative; width: 270px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55.7px -8.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-11295"><span class="mi" id="MathJax-Span-11296" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-11297" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-11298" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-11299" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-11300" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-11301" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-11302" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-11303" style="font-family: STIXGeneral-Italic;">b</span><span class="msubsup" id="MathJax-Span-11304"><span style="display: inline-block; position: relative; width: 13.4px; height: 0px;"><span style="position: absolute; clip: rect(32.4px 19360px 55px -11.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11305" style="font-family: STIXGeneral-Italic;">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 5px;"><span class="mn" id="MathJax-Span-11306" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11307" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-11308" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-11309" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11310" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11311" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mo" id="MathJax-Span-11312" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-11313" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊇</span><span class="mi" id="MathJax-Span-11314" style="font-family: STIXGeneral-Italic; padding-left: 6px;">v</span><span class="mi" id="MathJax-Span-11315" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-11316" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-11317" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-11318" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-11319" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-11320" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-11321" style="font-family: STIXGeneral-Italic;">b</span><span class="msubsup" id="MathJax-Span-11322"><span style="display: inline-block; position: relative; width: 13.4px; height: 0px;"><span style="position: absolute; clip: rect(32.4px 19360px 55px -11.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11323" style="font-family: STIXGeneral-Italic;">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 5px;"><span class="mn" id="MathJax-Span-11324" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11325" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-11326" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-11327" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11328" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11329" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mo" id="MathJax-Span-11330" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.9px; vertical-align: -5.7px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-514">value(obj_1,attr)\supseteq value(obj_2,attr)</script> so <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-515-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11331"><span style="display: inline-block; position: relative; width: 270px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55.9px -8.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-11332"><span class="mi" id="MathJax-Span-11333" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-11334" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-11335" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-11336" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-11337" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-11338" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-11339" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-11340" style="font-family: STIXGeneral-Italic;">b</span><span class="msubsup" id="MathJax-Span-11341"><span style="display: inline-block; position: relative; width: 13.4px; height: 0px;"><span style="position: absolute; clip: rect(32.4px 19360px 55px -11.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11342" style="font-family: STIXGeneral-Italic;">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 5px;"><span class="mn" id="MathJax-Span-11343" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11344" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-11345" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-11346" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11347" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11348" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mo" id="MathJax-Span-11349" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-11350" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊇</span><span class="mi" id="MathJax-Span-11351" style="font-family: STIXGeneral-Italic; padding-left: 6px;">v</span><span class="mi" id="MathJax-Span-11352" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-11353" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-11354" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-11355" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-11356" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-11357" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-11358" style="font-family: STIXGeneral-Italic;">b</span><span class="msubsup" id="MathJax-Span-11359"><span style="display: inline-block; position: relative; width: 13.4px; height: 0px;"><span style="position: absolute; clip: rect(32.4px 19360px 55px -11.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11360" style="font-family: STIXGeneral-Italic;">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 5px;"><span class="mn" id="MathJax-Span-11361" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">3</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11362" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-11363" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-11364" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11365" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11366" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mo" id="MathJax-Span-11367" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 20.1px; vertical-align: -5.9px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-515">value(obj_1,attr)
+  <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-513-Frame" class="MathJax"><nobr><span id="MathJax-Span-11257" class="math"><span style="display: inline-block; position: relative; width: 244px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.998em, -0.506em); top: -2.57em; left: 0em;"><span id="MathJax-Span-11258" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11259" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11260" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11261" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11262" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11263" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11264" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11265" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11266" class="mi">b</span><span id="MathJax-Span-11267" class="msubsup"><span style="display: inline-block; position: relative; width: 0.717em; height: 0px;"><span style="position: absolute; clip: rect(1.743em, 1000em, 2.952em, -0.65em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11268" class="mi">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.86em; left: 0.291em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11269" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11270" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-11271" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11272" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11273" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11274" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11275" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-11276" class="mo">⊇</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-11277" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11278" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11279" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11280" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11281" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11282" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11283" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11284" class="mi">b</span><span id="MathJax-Span-11285" class="msubsup"><span style="display: inline-block; position: relative; width: 0.717em; height: 0px;"><span style="position: absolute; clip: rect(1.743em, 1000em, 2.952em, -0.65em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11286" class="mi">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.86em; left: 0.291em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11287" class="mn">3</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11288" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-11289" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11290" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11291" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11292" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11293" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.126em; vertical-align: -0.332em;"></span></span></nobr></span><script id="MathJax-Element-513" type="math/tex">value(obj_2,attr) \supseteq value(obj_3,attr)</script>, and similarly
+  <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-514-Frame" class="MathJax"><nobr><span id="MathJax-Span-11294" class="math"><span style="display: inline-block; position: relative; width: 244px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.988em, -0.506em); top: -2.57em; left: 0em;"><span id="MathJax-Span-11295" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11296" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11297" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11298" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11299" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11300" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11301" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11302" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11303" class="mi">b</span><span id="MathJax-Span-11304" class="msubsup"><span style="display: inline-block; position: relative; width: 0.717em; height: 0px;"><span style="position: absolute; clip: rect(1.743em, 1000em, 2.952em, -0.65em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11305" class="mi">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.86em; left: 0.291em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11306" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11307" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-11308" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11309" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11310" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11311" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11312" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-11313" class="mo">⊇</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-11314" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11315" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11316" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11317" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11318" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11319" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11320" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11321" class="mi">b</span><span id="MathJax-Span-11322" class="msubsup"><span style="display: inline-block; position: relative; width: 0.717em; height: 0px;"><span style="position: absolute; clip: rect(1.743em, 1000em, 2.952em, -0.65em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11323" class="mi">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.86em; left: 0.291em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11324" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11325" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-11326" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11327" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11328" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11329" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11330" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.115em; vertical-align: -0.322em;"></span></span></nobr></span><script id="MathJax-Element-514" type="math/tex">value(obj_1,attr)\supseteq value(obj_2,attr)</script> so <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-515-Frame" class="MathJax"><nobr><span id="MathJax-Span-11331" class="math"><span style="display: inline-block; position: relative; width: 244px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.998em, -0.506em); top: -2.57em; left: 0em;"><span id="MathJax-Span-11332" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11333" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11334" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11335" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11336" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11337" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11338" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11339" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11340" class="mi">b</span><span id="MathJax-Span-11341" class="msubsup"><span style="display: inline-block; position: relative; width: 0.717em; height: 0px;"><span style="position: absolute; clip: rect(1.743em, 1000em, 2.952em, -0.65em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11342" class="mi">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.86em; left: 0.291em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11343" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11344" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-11345" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11346" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11347" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11348" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11349" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-11350" class="mo">⊇</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-11351" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11352" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11353" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11354" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11355" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11356" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11357" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11358" class="mi">b</span><span id="MathJax-Span-11359" class="msubsup"><span style="display: inline-block; position: relative; width: 0.717em; height: 0px;"><span style="position: absolute; clip: rect(1.743em, 1000em, 2.952em, -0.65em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11360" class="mi">j<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.86em; left: 0.291em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11361" class="mn">3</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11362" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-11363" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11364" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11365" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11366" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11367" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.126em; vertical-align: -0.332em;"></span></span></nobr></span><script id="MathJax-Element-515" type="math/tex">value(obj_1,attr)
   \supseteq value(obj_3,attr)</script>.  (TODO:
-  How do we know <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-516-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11368"><span style="display: inline-block; position: relative; width: 61px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.2px 19360px 54.1px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-11369"><span class="msubsup" id="MathJax-Span-11370"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11371" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-11372" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">3</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11373" style="font-family: STIXGeneral-Regular; padding-left: 6px;">≠</span><span class="msubsup" id="MathJax-Span-11374" style="padding-left: 6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11375" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-11376" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 17.9px; vertical-align: -4.1px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-516">e_3 \neq e_1</script>?  Need strict ordering on entities in semantics.)
+  How do we know <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-516-Frame" class="MathJax"><nobr><span id="MathJax-Span-11368" class="math"><span style="display: inline-block; position: relative; width: 53px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.905em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-11369" class="mrow"><span id="MathJax-Span-11370" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11371" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11372" class="mn">3</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-11373" class="mo">≠</span><span style="padding-left: 0.313em;" id="MathJax-Span-11374" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11375" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11376" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.004em; vertical-align: -0.234em;"></span></span></nobr></span><script id="MathJax-Element-516" type="math/tex">e_3 \neq e_1</script>?  Need strict ordering on entities in semantics.)
 </p>
 </div>
 
-<div class="inference" number="20" id="specialization-alternate-inference"><div class="ruleTitle"><a class="internalDFN" href="#specialization-alternate-inference">Inference 20 (specialization-alternate-inference)</a></div><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-517-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11377"><span style="display: inline-block; position: relative; width: 230px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 98.8px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-11378"><span class="mtable" id="MathJax-Span-11379" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 224px; height: 0px;"><span style="position: absolute; clip: rect(71.2px 19360px 144.8px -9px); top: -87px; left: 0px;"><span style="display: inline-block; position: relative; width: 224px; height: 0px;"><span style="position: absolute; clip: rect(32.2px 19360px 53.9px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-11380"><span class="mrow" id="MathJax-Span-11381"><span class="mi" id="MathJax-Span-11382" style="font-family: STIXGeneral-Regular;">∀</span><span class="msubsup" id="MathJax-Span-11383"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11384" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-11385" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11386" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-11387" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11388" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-11389" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11390" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-11391" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -23.2px; left: 0px;"><span class="mtd" id="MathJax-Span-11392"><span class="mrow" id="MathJax-Span-11393"><span class="mspace" id="MathJax-Span-11394" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-11395" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-11396" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-11397" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-11398" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-11399" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11400" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-11401" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-11402" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11403" style="font-family: STIXGeneral-Italic;">z</span><span class="mi" id="MathJax-Span-11404" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-11405" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11406" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11407" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-11408" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-11409" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-11410" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-11411" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-11412"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11413" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-11414" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11415" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-11416" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11417" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-11418" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11419" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.8px 19360px 56px -9px); top: 1.8px; left: 0px;"><span class="mtd" id="MathJax-Span-11420"><span class="mrow" id="MathJax-Span-11421"><span class="mspace" id="MathJax-Span-11422" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-11423" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-11424" style="font-family: STIXGeneral-Italic; padding-left: 6px;">a</span><span class="mi" id="MathJax-Span-11425" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-11426" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11427" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-11428" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-11429" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-11430" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-11431" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11432" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-11433" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-11434" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-11435" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-11436"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11437" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-11438" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11439" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-11440" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11441" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-11442" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11443" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 87px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 72.3px; vertical-align: -55.8px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-517">\begin{array}[t]{l}
+<div class="inference" number="20" id="specialization-alternate-inference"><div class="ruleTitle"><a href="#specialization-alternate-inference" class="internalDFN">Inference 20 (specialization-alternate-inference)</a></div><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-517-Frame" class="MathJax"><nobr><span id="MathJax-Span-11377" class="math"><span style="display: inline-block; position: relative; width: 209px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.05em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-11378" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-11379" class="mtable"><span style="display: inline-block; position: relative; width: 11.857em; height: 0px;"><span style="position: absolute; clip: rect(3.66em, 1000em, 7.503em, -0.526em); top: -4.498em; left: 0em;"><span style="display: inline-block; position: relative; width: 11.857em; height: 0px;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.895em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-11380" class="mtd"><span id="MathJax-Span-11381" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-11382" class="mi">∀</span><span id="MathJax-Span-11383" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11384" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11385" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11386" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-11387" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11388" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11389" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11390" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-11391" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.526em); top: -1.287em; left: 0em;"><span id="MathJax-Span-11392" class="mtd"><span id="MathJax-Span-11393" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-11394" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11395" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11396" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11397" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11398" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11399" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11400" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11401" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11402" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11403" class="mi">z</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11404" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11405" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11406" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11407" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11408" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11409" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11410" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11411" class="mo">(</span><span id="MathJax-Span-11412" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11413" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11414" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11415" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-11416" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11417" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11418" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11419" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.526em); top: 0.053em; left: 0em;"><span id="MathJax-Span-11420" class="mtd"><span id="MathJax-Span-11421" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-11422" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11423" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-11424" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11425" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11426" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11427" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11428" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11429" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11430" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11431" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11432" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11433" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11434" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11435" class="mo">(</span><span id="MathJax-Span-11436" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11437" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11438" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11439" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-11440" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11441" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11442" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11443" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.498em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 4.009em; vertical-align: -3.091em;"></span></span></nobr></span><script id="MathJax-Element-517" type="math/tex">\begin{array}[t]{l}
 \forall e_1,e_2.~
 \\
 \qquad specializationOf(e_1,e_2)
@@ -2341,12 +2341,12 @@
 alternateOf(e_1,e_2)
 \end{array}</script></div>
 <div class="proof">
-  <p> If <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-518-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11444"><span style="display: inline-block; position: relative; width: 96px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-11445"><span class="mi" id="MathJax-Span-11446" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-11447" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-11448"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11449" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-11450" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11451" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-11452" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-11453" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-11454"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11455" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-11456" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11457" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-518">ent_1=\rho(e_1)</script> and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-519-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11458"><span style="display: inline-block; position: relative; width: 96px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-11459"><span class="mi" id="MathJax-Span-11460" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-11461" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-11462"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11463" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-11464" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11465" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-11466" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-11467" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-11468"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11469" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-11470" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11471" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-519">ent_2 = \rho(e_2)</script> are
-  specializations, then <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-520-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11472"><span style="display: inline-block; position: relative; width: 238px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.3px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-11473"><span class="mi" id="MathJax-Span-11474" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11475" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-11476" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11477" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-11478" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-11479" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-11480" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-11481" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-11482" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-11483" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-11484"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11485" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-11486" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11487" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-11488" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-11489" style="font-family: STIXGeneral-Italic; padding-left: 6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11490" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-11491" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11492" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-11493" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-11494" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-11495" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-11496" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-11497" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-11498" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-11499"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11500" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-11501" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11502" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-520">thingOf(ent_1) = thingOf(ent_2)</script>.
+  <p> If <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-518-Frame" class="MathJax"><nobr><span id="MathJax-Span-11444" class="math"><span style="display: inline-block; position: relative; width: 86px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.95em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-11445" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11446" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11447" class="mi">n</span><span id="MathJax-Span-11448" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11449" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11450" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-11451" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-11452" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11453" class="mo">(</span><span id="MathJax-Span-11454" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11455" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11456" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11457" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.068em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-518" type="math/tex">ent_1=\rho(e_1)</script> and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-519-Frame" class="MathJax"><nobr><span id="MathJax-Span-11458" class="math"><span style="display: inline-block; position: relative; width: 86px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.95em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-11459" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11460" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11461" class="mi">n</span><span id="MathJax-Span-11462" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11463" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11464" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-11465" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-11466" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11467" class="mo">(</span><span id="MathJax-Span-11468" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11469" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11470" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11471" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.068em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-519" type="math/tex">ent_2 = \rho(e_2)</script> are
+  specializations, then <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-520-Frame" class="MathJax"><nobr><span id="MathJax-Span-11472" class="math"><span style="display: inline-block; position: relative; width: 212px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.488em); top: -2.57em; left: 0em;"><span id="MathJax-Span-11473" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11474" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11475" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11476" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11477" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11478" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11479" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11480" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11481" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11482" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11483" class="mi">n</span><span id="MathJax-Span-11484" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11485" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11486" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11487" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-11488" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-11489" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11490" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11491" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11492" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11493" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11494" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11495" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11496" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11497" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11498" class="mi">n</span><span id="MathJax-Span-11499" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11500" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11501" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11502" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-520" type="math/tex">thingOf(ent_1) = thingOf(ent_2)</script>.
 </p>
 </div>
 
-<div class="inference" number="21" id="specialization-attributes-inference"><div class="ruleTitle"><a class="internalDFN" href="#specialization-attributes-inference">Inference 21 (specialization-attributes-inference)</a></div><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-521-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11503"><span style="display: inline-block; position: relative; width: 362px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 98.6px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-11504"><span class="mtable" id="MathJax-Span-11505" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 356px; height: 0px;"><span style="position: absolute; clip: rect(71.2px 19360px 144.6px -9px); top: -87px; left: 0px;"><span style="display: inline-block; position: relative; width: 356px; height: 0px;"><span style="position: absolute; clip: rect(32.2px 19360px 53.9px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-11506"><span class="mrow" id="MathJax-Span-11507"><span class="mi" id="MathJax-Span-11508" style="font-family: STIXGeneral-Regular;">∀</span><span class="msubsup" id="MathJax-Span-11509"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11510" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-11511" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11512" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-11513" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-11514" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11515" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11516" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-11517" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-11518" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-11519" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11520" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-11521" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11522" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-11523" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -23.2px; left: 0px;"><span class="mtd" id="MathJax-Span-11524"><span class="mrow" id="MathJax-Span-11525"><span class="mspace" id="MathJax-Span-11526" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-11527" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-11528" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-11529" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11530" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11531" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11532" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-11533" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-11534"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11535" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-11536" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11537" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-11538" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-11539" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11540" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11541" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-11542" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-11543" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-11544" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-11545" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">s</span><span class="mi" id="MathJax-Span-11546" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-11547" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-11548" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-11549" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11550" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-11551" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-11552" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11553" style="font-family: STIXGeneral-Italic;">z</span><span class="mi" id="MathJax-Span-11554" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-11555" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11556" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11557" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-11558" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-11559" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-11560" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-11561" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-11562"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11563" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-11564" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11565" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-11566" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11567" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-11568" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11569" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.9px 19360px 56px -9px); top: 1.6px; left: 0px;"><span class="mtd" id="MathJax-Span-11570"><span class="mrow" id="MathJax-Span-11571"><span class="mspace" id="MathJax-Span-11572" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-11573" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-11574" style="font-family: STIXGeneral-Italic; padding-left: 6px;">e</span><span class="mi" id="MathJax-Span-11575" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-11576" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11577" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11578" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11579" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-11580" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-11581"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11582" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-11583" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11584" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-11585" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-11586" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11587" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11588" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-11589" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-11590" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 87px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 72.1px; vertical-align: -55.6px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-521">\begin{array}[t]{l}
+<div class="inference" number="21" id="specialization-attributes-inference"><div class="ruleTitle"><a href="#specialization-attributes-inference" class="internalDFN">Inference 21 (specialization-attributes-inference)</a></div><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-521-Frame" class="MathJax"><nobr><span id="MathJax-Span-11503" class="math"><span style="display: inline-block; position: relative; width: 334px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.042em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-11504" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-11505" class="mtable"><span style="display: inline-block; position: relative; width: 19.159em; height: 0px;"><span style="position: absolute; clip: rect(3.66em, 1000em, 7.495em, -0.526em); top: -4.498em; left: 0em;"><span style="display: inline-block; position: relative; width: 19.159em; height: 0px;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.895em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-11506" class="mtd"><span id="MathJax-Span-11507" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-11508" class="mi">∀</span><span id="MathJax-Span-11509" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11510" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11511" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11512" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-11513" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11514" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11515" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11516" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11517" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11518" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-11519" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11520" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11521" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11522" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-11523" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.526em); top: -1.287em; left: 0em;"><span id="MathJax-Span-11524" class="mtd"><span id="MathJax-Span-11525" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-11526" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11527" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11528" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11529" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11530" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11531" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11532" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11533" class="mo">(</span><span id="MathJax-Span-11534" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11535" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11536" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11537" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-11538" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11539" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11540" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11541" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11542" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11543" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-11544" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-11545" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11546" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11547" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11548" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11549" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11550" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11551" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11552" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11553" class="mi">z</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11554" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11555" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11556" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11557" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11558" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11559" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11560" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11561" class="mo">(</span><span id="MathJax-Span-11562" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11563" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11564" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11565" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-11566" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11567" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11568" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11569" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.719em, 1000em, 2.951em, -0.526em); top: 0.046em; left: 0em;"><span id="MathJax-Span-11570" class="mtd"><span id="MathJax-Span-11571" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-11572" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11573" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-11574" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11575" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11576" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11577" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11578" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11579" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11580" class="mo">(</span><span id="MathJax-Span-11581" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11582" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11583" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11584" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-11585" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11586" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11587" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11588" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11589" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11590" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.498em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 4.001em; vertical-align: -3.082em;"></span></span></nobr></span><script id="MathJax-Element-521" type="math/tex">\begin{array}[t]{l}
 \forall e_1,attrs,e_2.~
 \\
 \qquad entity(e_1,attrs) \wedge specializationOf(e_2,e_1)
@@ -2356,12 +2356,12 @@
 \end{array}</script></div>
 </section>
 <div class="proof">
-  <p> Suppose <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-522-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11591"><span style="display: inline-block; position: relative; width: 96px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-11592"><span class="mi" id="MathJax-Span-11593" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-11594" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-11595"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11596" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-11597" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11598" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-11599" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-11600" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-11601"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11602" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-11603" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11604" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-522">ent_1 = \rho(e_1)</script> and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-523-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11605"><span style="display: inline-block; position: relative; width: 96px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-11606"><span class="mi" id="MathJax-Span-11607" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-11608" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-11609"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11610" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-11611" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11612" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-11613" style="font-family: STIXGeneral-Italic; padding-left: 6px;">ρ</span><span class="mo" id="MathJax-Span-11614" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-11615"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11616" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-11617" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11618" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-523">ent_2 = \rho(e_2)</script>.  Suppose
-  <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-524-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11619"><span style="display: inline-block; position: relative; width: 49px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 54.4px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-11620"><span class="mo" id="MathJax-Span-11621" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-11622" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-11623" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11624" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-11625" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-11626" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">v</span><span class="mo" id="MathJax-Span-11627" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.5px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-524">(att,v)</script> is an attribute-value pair in <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-525-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11628"><span style="display: inline-block; position: relative; width: 35px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-11629"><span class="mi" id="MathJax-Span-11630" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-11631" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11632" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11633" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-11634" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 12.8px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-525">attrs</script>.  Since
-  <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-526-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11635"><span style="display: inline-block; position: relative; width: 114px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-11636"><span class="mi" id="MathJax-Span-11637" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-11638" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-11639" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11640" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11641" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11642" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-11643" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-11644"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11645" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-11646" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11647" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-11648" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-11649" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11650" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11651" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-11652" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-11653" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-526">entity(e_1,attrs)</script> holds, we know that <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-527-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11654"><span style="display: inline-block; position: relative; width: 145px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 54.4px -8.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-11655"><span class="mi" id="MathJax-Span-11656" style="font-family: STIXGeneral-Italic;">v</span><span class="mo" id="MathJax-Span-11657" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-11658" style="font-family: STIXGeneral-Italic; padding-left: 6px;">v</span><span class="mi" id="MathJax-Span-11659" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-11660" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-11661" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-11662" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-11663" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-11664" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-11665" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-11666"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11667" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-11668" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11669" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-11670" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-11671" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11672" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-11673" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.6px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-527">v \in value(ent_1,att)</script>.
-  Thus <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-528-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11674"><span style="display: inline-block; position: relative; width: 145px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 54.4px -8.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-11675"><span class="mi" id="MathJax-Span-11676" style="font-family: STIXGeneral-Italic;">v</span><span class="mo" id="MathJax-Span-11677" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mi" id="MathJax-Span-11678" style="font-family: STIXGeneral-Italic; padding-left: 6px;">v</span><span class="mi" id="MathJax-Span-11679" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-11680" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-11681" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-11682" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-11683" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-11684" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-11685" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-11686"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11687" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-11688" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11689" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-11690" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-11691" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11692" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-11693" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.6px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-528">v \in value(ent_2,att)</script> since <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-529-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11694"><span style="display: inline-block; position: relative; width: 253px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 54.4px -8.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-11695"><span class="mi" id="MathJax-Span-11696" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-11697" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-11698" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-11699" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-11700" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-11701" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-11702" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-11703" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-11704"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11705" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-11706" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11707" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-11708" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-11709" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11710" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-11711" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-11712" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊇</span><span class="mi" id="MathJax-Span-11713" style="font-family: STIXGeneral-Italic; padding-left: 6px;">v</span><span class="mi" id="MathJax-Span-11714" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-11715" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-11716" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-11717" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-11718" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-11719" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-11720" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-11721"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11722" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-11723" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11724" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-11725" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-11726" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11727" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-11728" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.6px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-529">value(ent_2,att) \supseteq value(ent_1,att)</script>.  Since
-  this is the case for all attribute-value pairs in <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-530-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11729"><span style="display: inline-block; position: relative; width: 35px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(34.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-11730"><span class="mi" id="MathJax-Span-11731" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-11732" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11733" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11734" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-11735" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 12.8px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-530">attrs</script>, and since
-  <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-531-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11736"><span style="display: inline-block; position: relative; width: 17px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(29.5px 19360px 46.9px -8.4px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-11737"><span class="msubsup" id="MathJax-Span-11738"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11739" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-11740" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 13.4px; vertical-align: -3.9px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-531">e_2</script> obviously denotes an entity, we can conclude <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-532-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11741"><span style="display: inline-block; position: relative; width: 158px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.9px 19360px 55px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-11742"><span class="mi" id="MathJax-Span-11743" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-11744" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-11745" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">ρ</span><span class="mo" id="MathJax-Span-11746" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-11747" style="font-family: STIXGeneral-Italic; padding-left: 6px;">e</span><span class="mi" id="MathJax-Span-11748" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-11749" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11750" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11751" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11752" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-11753" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-11754" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-11755" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-11756" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-11757" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11758" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11759" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-11760" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.1px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-532">W,\rho \models entity(e,attrs</script>).
+  <p> Suppose <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-522-Frame" class="MathJax"><nobr><span id="MathJax-Span-11591" class="math"><span style="display: inline-block; position: relative; width: 86px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.95em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-11592" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11593" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11594" class="mi">n</span><span id="MathJax-Span-11595" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11596" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11597" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-11598" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-11599" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11600" class="mo">(</span><span id="MathJax-Span-11601" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11602" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11603" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11604" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.068em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-522" type="math/tex">ent_1 = \rho(e_1)</script> and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-523-Frame" class="MathJax"><nobr><span id="MathJax-Span-11605" class="math"><span style="display: inline-block; position: relative; width: 86px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.95em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-11606" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11607" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11608" class="mi">n</span><span id="MathJax-Span-11609" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11610" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11611" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-11612" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-11613" class="mi">ρ</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11614" class="mo">(</span><span id="MathJax-Span-11615" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11616" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11617" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11618" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.068em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-523" type="math/tex">ent_2 = \rho(e_2)</script>.  Suppose
+  <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-524-Frame" class="MathJax"><nobr><span id="MathJax-Span-11619" class="math"><span style="display: inline-block; position: relative; width: 45px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.922em, -0.478em); top: -2.57em; left: 0em;"><span id="MathJax-Span-11620" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-11621" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11622" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11623" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11624" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11625" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-11626" class="mi">v</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11627" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.038em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-524" type="math/tex">(att,v)</script> is an attribute-value pair in <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-525-Frame" class="MathJax"><nobr><span id="MathJax-Span-11628" class="math"><span style="display: inline-block; position: relative; width: 32px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.758em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-11629" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11630" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11631" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11632" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11633" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11634" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.723em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-525" type="math/tex">attrs</script>.  Since
+  <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-526-Frame" class="MathJax"><nobr><span id="MathJax-Span-11635" class="math"><span style="display: inline-block; position: relative; width: 105px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.951em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-11636" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11637" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11638" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11639" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11640" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11641" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11642" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11643" class="mo">(</span><span id="MathJax-Span-11644" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11645" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11646" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11647" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-11648" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11649" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11650" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11651" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11652" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11653" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.069em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-526" type="math/tex">entity(e_1,attrs)</script> holds, we know that <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-527-Frame" class="MathJax"><nobr><span id="MathJax-Span-11654" class="math"><span style="display: inline-block; position: relative; width: 133px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.922em, -0.506em); top: -2.57em; left: 0em;"><span id="MathJax-Span-11655" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11656" class="mi">v</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-11657" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-11658" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11659" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11660" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11661" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11662" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11663" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11664" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11665" class="mi">n</span><span id="MathJax-Span-11666" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11667" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11668" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11669" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-11670" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11671" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11672" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11673" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.045em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-527" type="math/tex">v \in value(ent_1,att)</script>.
+  Thus <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-528-Frame" class="MathJax"><nobr><span id="MathJax-Span-11674" class="math"><span style="display: inline-block; position: relative; width: 133px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.922em, -0.506em); top: -2.57em; left: 0em;"><span id="MathJax-Span-11675" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11676" class="mi">v</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-11677" class="mo">∈</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-11678" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11679" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11680" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11681" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11682" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11683" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11684" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11685" class="mi">n</span><span id="MathJax-Span-11686" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11687" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11688" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11689" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-11690" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11691" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11692" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11693" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.045em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-528" type="math/tex">v \in value(ent_2,att)</script> since <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-529-Frame" class="MathJax"><nobr><span id="MathJax-Span-11694" class="math"><span style="display: inline-block; position: relative; width: 228px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.922em, -0.506em); top: -2.57em; left: 0em;"><span id="MathJax-Span-11695" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11696" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11697" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11698" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11699" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11700" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11701" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11702" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11703" class="mi">n</span><span id="MathJax-Span-11704" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11705" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11706" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11707" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-11708" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11709" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11710" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11711" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-11712" class="mo">⊇</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-11713" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11714" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11715" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11716" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11717" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11718" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11719" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11720" class="mi">n</span><span id="MathJax-Span-11721" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11722" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11723" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11724" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-11725" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11726" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11727" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11728" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.045em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-529" type="math/tex">value(ent_2,att) \supseteq value(ent_1,att)</script>.  Since
+  this is the case for all attribute-value pairs in <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-530-Frame" class="MathJax"><nobr><span id="MathJax-Span-11729" class="math"><span style="display: inline-block; position: relative; width: 32px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.758em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-11730" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11731" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11732" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11733" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11734" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11735" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.723em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-530" type="math/tex">attrs</script>, and since
+  <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-531-Frame" class="MathJax"><nobr><span id="MathJax-Span-11736" class="math"><span style="display: inline-block; position: relative; width: 15px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.428em, 1000em, 2.37em, -0.495em); top: -2.044em; left: 0em;"><span id="MathJax-Span-11737" class="mrow"><span id="MathJax-Span-11738" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11739" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11740" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.757em; vertical-align: -0.223em;"></span></span></nobr></span><script id="MathJax-Element-531" type="math/tex">e_2</script> obviously denotes an entity, we can conclude <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-532-Frame" class="MathJax"><nobr><span id="MathJax-Span-11741" class="math"><span style="display: inline-block; position: relative; width: 146px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.719em, 1000em, 2.951em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-11742" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11743" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11744" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-11745" class="mi">ρ</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-11746" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-11747" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11748" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11749" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11750" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11751" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11752" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11753" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11754" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11755" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-11756" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11757" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11758" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11759" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11760" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.069em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-532" type="math/tex">W,\rho \models entity(e,attrs</script>).
   </p>
 </div>
 
@@ -2370,39 +2370,39 @@
 <section id="uniqueness-constraints">
 <h4><span class="secno">5.2.1 </span>Uniqueness constraints</h4>
 
-<div class="constraint" number="22" id="key-object"><div class="ruleTitle"><a class="internalDFN" href="#key-object">Constraint 22 (key-object)</a></div>
+<div class="constraint" number="22" id="key-object"><div class="ruleTitle"><a href="#key-object" class="internalDFN">Constraint 22 (key-object)</a></div>
   <ol><li>The
-  identifier field <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-533-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11761"><span style="display: inline-block; position: relative; width: 16px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-11762"><span class="mi" id="MathJax-Span-11763" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11764" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-533">id</script> is a <span class="conditional">KEY</span> for
-  the <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-534-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11765"><span style="display: inline-block; position: relative; width: 113px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.4px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-11766"><span class="mi" id="MathJax-Span-11767" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-11768" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-11769" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11770" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11771" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11772" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-11773" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-11774" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11775" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-11776" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-11777" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-11778" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11779" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11780" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-11781" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-11782" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-534">entity(id,attrs)</script> statement.</li>
-  <li>The identifier field <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-535-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11783"><span style="display: inline-block; position: relative; width: 16px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-11784"><span class="mi" id="MathJax-Span-11785" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11786" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-535">id</script>
+  identifier field <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-533-Frame" class="MathJax"><nobr><span id="MathJax-Span-11761" class="math"><span style="display: inline-block; position: relative; width: 14px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.477em); top: -2.57em; left: 0em;"><span id="MathJax-Span-11762" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11763" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11764" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-533" type="math/tex">id</script> is a <span class="conditional">KEY</span> for
+  the <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-534-Frame" class="MathJax"><nobr><span id="MathJax-Span-11765" class="math"><span style="display: inline-block; position: relative; width: 104px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.495em); top: -2.57em; left: 0em;"><span id="MathJax-Span-11766" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11767" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11768" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11769" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11770" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11771" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11772" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11773" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11774" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11775" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11776" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-11777" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11778" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11779" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11780" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11781" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11782" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-534" type="math/tex">entity(id,attrs)</script> statement.</li>
+  <li>The identifier field <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-535-Frame" class="MathJax"><nobr><span id="MathJax-Span-11783" class="math"><span style="display: inline-block; position: relative; width: 14px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.477em); top: -2.57em; left: 0em;"><span id="MathJax-Span-11784" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11785" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11786" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-535" type="math/tex">id</script>
   is a <span class="conditional">KEY</span> for the
-  <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-536-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11787"><span style="display: inline-block; position: relative; width: 170px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-11788"><span class="mi" id="MathJax-Span-11789" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-11790" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-11791" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11792" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11793" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-11794" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11795" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11796" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-11797" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-11798" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11799" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-11800" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-11801" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11802" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-11803" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11804" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-11805" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11806" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-11807" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11808" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-11809" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-11810" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11811" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11812" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-11813" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-11814" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-536">activity(id,t_1,t_2,attrs)</script> statement.</li>
-  <li>The identifier field <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-537-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11815"><span style="display: inline-block; position: relative; width: 16px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-11816"><span class="mi" id="MathJax-Span-11817" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11818" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-537">id</script> is a <span class="conditional">KEY</span> for the <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-538-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11819"><span style="display: inline-block; position: relative; width: 114px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-11820"><span class="mi" id="MathJax-Span-11821" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-11822" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-11823" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-11824" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-11825" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-11826" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-11827" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11828" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-11829" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-11830" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-11831" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11832" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11833" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-11834" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-11835" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-538">agent(id,attrs)</script> statement.</li></ol></div>
-<div class="constraint" number="23" id="key-properties"><div class="ruleTitle"><a class="internalDFN" href="#key-properties">Constraint 23 (key-properties)</a></div>
-  <ol><li>The identifier field <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-539-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11836"><span style="display: inline-block; position: relative; width: 16px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-11837"><span class="mi" id="MathJax-Span-11838" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11839" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-539">id</script> is a <span class="conditional">KEY</span> for the
-    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-540-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11840"><span style="display: inline-block; position: relative; width: 249px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-11841"><span class="mi" id="MathJax-Span-11842" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-11843" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-11844" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-11845" style="font-family: STIXGeneral-Italic;">G</span><span class="mi" id="MathJax-Span-11846" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-11847" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-11848" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-11849" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-11850" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-11851" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11852" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-11853" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-11854" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-11855" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-11856" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-11857" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11858" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-11859" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-11860" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-11861" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-11862" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-11863" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-11864" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-11865" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-11866" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-11867" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11868" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11869" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-11870" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-11871" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-540">wasGeneratedBy(id,e,a,t,attrs)</script> statement.</li>
-    <li>The identifier field <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-541-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11872"><span style="display: inline-block; position: relative; width: 16px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-11873"><span class="mi" id="MathJax-Span-11874" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11875" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-541">id</script> is a <span class="conditional">KEY</span> for the <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-542-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11876"><span style="display: inline-block; position: relative; width: 154px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 54.4px -8.2px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-11877"><span class="mi" id="MathJax-Span-11878" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-11879" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-11880" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-11881" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-11882" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-11883" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11884" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-11885" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-11886" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-11887" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-11888" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-11889" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-11890" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-11891" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-11892" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-11893" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11894" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11895" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-11896" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-11897" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 18.6px; vertical-align: -4.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-542">used(id,a,e,t,attrs)</script>
+  <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-536-Frame" class="MathJax"><nobr><span id="MathJax-Span-11787" class="math"><span style="display: inline-block; position: relative; width: 155px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-11788" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11789" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11790" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11791" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11792" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11793" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11794" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11795" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11796" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11797" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11798" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11799" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11800" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-11801" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11802" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11803" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11804" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-11805" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11806" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11807" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11808" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-11809" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11810" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11811" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11812" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11813" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11814" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-536" type="math/tex">activity(id,t_1,t_2,attrs)</script> statement.</li>
+  <li>The identifier field <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-537-Frame" class="MathJax"><nobr><span id="MathJax-Span-11815" class="math"><span style="display: inline-block; position: relative; width: 14px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.477em); top: -2.57em; left: 0em;"><span id="MathJax-Span-11816" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11817" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11818" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-537" type="math/tex">id</script> is a <span class="conditional">KEY</span> for the <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-538-Frame" class="MathJax"><nobr><span id="MathJax-Span-11819" class="math"><span style="display: inline-block; position: relative; width: 103px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-11820" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11821" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11822" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11823" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11824" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11825" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11826" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11827" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11828" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11829" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-11830" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11831" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11832" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11833" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11834" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11835" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-538" type="math/tex">agent(id,attrs)</script> statement.</li></ol></div>
+<div class="constraint" number="23" id="key-properties"><div class="ruleTitle"><a href="#key-properties" class="internalDFN">Constraint 23 (key-properties)</a></div>
+  <ol><li>The identifier field <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-539-Frame" class="MathJax"><nobr><span id="MathJax-Span-11836" class="math"><span style="display: inline-block; position: relative; width: 14px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.477em); top: -2.57em; left: 0em;"><span id="MathJax-Span-11837" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11838" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11839" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-539" type="math/tex">id</script> is a <span class="conditional">KEY</span> for the
+    <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-540-Frame" class="MathJax"><nobr><span id="MathJax-Span-11840" class="math"><span style="display: inline-block; position: relative; width: 227px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.511em); top: -2.57em; left: 0em;"><span id="MathJax-Span-11841" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11842" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11843" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11844" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11845" class="mi">G</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11846" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11847" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11848" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11849" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11850" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11851" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11852" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11853" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11854" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11855" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11856" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11857" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11858" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11859" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-11860" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11861" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-11862" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11863" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-11864" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11865" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-11866" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11867" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11868" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11869" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11870" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11871" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-540" type="math/tex">wasGeneratedBy(id,e,a,t,attrs)</script> statement.</li>
+    <li>The identifier field <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-541-Frame" class="MathJax"><nobr><span id="MathJax-Span-11872" class="math"><span style="display: inline-block; position: relative; width: 14px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.477em); top: -2.57em; left: 0em;"><span id="MathJax-Span-11873" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11874" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11875" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-541" type="math/tex">id</script> is a <span class="conditional">KEY</span> for the <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-542-Frame" class="MathJax"><nobr><span id="MathJax-Span-11876" class="math"><span style="display: inline-block; position: relative; width: 141px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.922em, -0.484em); top: -2.57em; left: 0em;"><span id="MathJax-Span-11877" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11878" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11879" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11880" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11881" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11882" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11883" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11884" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11885" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-11886" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11887" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-11888" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11889" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-11890" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11891" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-11892" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11893" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11894" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11895" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11896" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11897" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.045em; vertical-align: -0.252em;"></span></span></nobr></span><script id="MathJax-Element-542" type="math/tex">used(id,a,e,t,attrs)</script>
     statement.</li>
-    <li>The identifier field <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-543-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11898"><span style="display: inline-block; position: relative; width: 16px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-11899"><span class="mi" id="MathJax-Span-11900" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11901" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-543">id</script> is a <span class="conditional">KEY</span> for the
-    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-544-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11902"><span style="display: inline-block; position: relative; width: 249px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-11903"><span class="mi" id="MathJax-Span-11904" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-11905" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-11906" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-11907" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span class="mi" id="MathJax-Span-11908" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-11909" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-11910" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-11911" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-11912" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-11913" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-11914" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-11915" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-11916" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-11917" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-11918" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11919" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-11920" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-11921" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11922" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-11923" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11924" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-11925" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11926" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-11927" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11928" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-11929" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-11930" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11931" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11932" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-11933" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-11934" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-544">wasInformedBy(id,a_2,a_1,attrs)</script> statement.</li>
-    <li>The identifier field <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-545-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11935"><span style="display: inline-block; position: relative; width: 16px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-11936"><span class="mi" id="MathJax-Span-11937" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11938" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-545">id</script> is a <span class="conditional">KEY</span> for the
-    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-546-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11939"><span style="display: inline-block; position: relative; width: 260px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-11940"><span class="mi" id="MathJax-Span-11941" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-11942" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-11943" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-11944" style="font-family: STIXGeneral-Italic;">S<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.2px;"></span></span><span class="mi" id="MathJax-Span-11945" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11946" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-11947" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-11948" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11949" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-11950" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-11951" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-11952" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-11953" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-11954" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11955" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-11956" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-11957" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11958" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-11959" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11960" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-11961" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-11962" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-11963" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11964" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-11965" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11966" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-11967" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-11968" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-11969" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-11970" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11971" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-11972" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-11973" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-11974" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-546">wasStartedBy(id,a_2,e,a_1,t,attrs)</script> statement.</li>
-    <li>The identifier field <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-547-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11975"><span style="display: inline-block; position: relative; width: 16px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-11976"><span class="mi" id="MathJax-Span-11977" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11978" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-547">id</script> is a <span class="conditional">KEY</span> for the
-    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-548-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-11979"><span style="display: inline-block; position: relative; width: 255px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-11980"><span class="mi" id="MathJax-Span-11981" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-11982" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-11983" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-11984" style="font-family: STIXGeneral-Italic;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-11985" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-11986" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-11987" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-11988" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-11989" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-11990" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-11991" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-11992" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-11993" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-11994" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-11995" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-11996" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-11997" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-11998" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-11999" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-12000" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-12001" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12002" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-12003" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12004" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12005" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-12006" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12007" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-12008" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12009" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12010" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-12011" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-12012" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-548">wasEndedBy(id,a_2,e,a_1,t,attrs)</script> statement.</li>
-    <li>The identifier field <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-549-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-12013"><span style="display: inline-block; position: relative; width: 16px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-12014"><span class="mi" id="MathJax-Span-12015" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-12016" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-549">id</script> is a <span class="conditional">KEY</span> for the
-    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-550-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-12017"><span style="display: inline-block; position: relative; width: 258px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-12018"><span class="mi" id="MathJax-Span-12019" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-12020" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-12021" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-12022" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span class="mi" id="MathJax-Span-12023" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-12024" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-12025" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-12026" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-12027" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-12028" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-12029" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-12030" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12031" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-12032" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-12033" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-12034" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-12035" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-12036" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-12037" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-12038" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12039" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-12040" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12041" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-12042" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12043" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-12044" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12045" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-12046" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12047" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12048" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-12049" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-12050" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-550">wasInvalidatedBy(id,e,a,t,attrs)</script> statement.</li>
-    <li>The identifier field <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-551-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-12051"><span style="display: inline-block; position: relative; width: 16px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-12052"><span class="mi" id="MathJax-Span-12053" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-12054" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-551">id</script> is a <span class="conditional">KEY</span> for the
-    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-552-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-12055"><span style="display: inline-block; position: relative; width: 326px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55.7px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-12056"><span class="mi" id="MathJax-Span-12057" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-12058" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-12059" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-12060" style="font-family: STIXGeneral-Italic;">D</span><span class="mi" id="MathJax-Span-12061" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-12062" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-12063" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-12064" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-12065" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-12066" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-12067" style="font-family: STIXGeneral-Italic;">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.7px;"></span></span><span class="mi" id="MathJax-Span-12068" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-12069" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-12070" style="font-family: STIXGeneral-Italic;">m</span><span class="mo" id="MathJax-Span-12071" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-12072" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-12073" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-12074" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-12075" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12076" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-12077" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12078" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-12079" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12080" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-12081" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12082" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12083" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-12084" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-12085" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12086" style="font-family: STIXGeneral-Italic;">g</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 10px;"><span class="mn" id="MathJax-Span-12087" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12088" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-12089" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.2px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12090" style="font-family: STIXGeneral-Italic;">u</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-12091" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12092" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12093" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-12094" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12095" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12096" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-12097" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-12098" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.9px; vertical-align: -5.7px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-552">wasDerivedFrom(id,e_2,e_1,a,g_2,u_1,attrs)</script> statement.</li>
-    <li>The identifier field <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-553-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-12099"><span style="display: inline-block; position: relative; width: 16px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-12100"><span class="mi" id="MathJax-Span-12101" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-12102" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-553">id</script> is a <span class="conditional">KEY</span> for the
-    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-554-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-12103"><span style="display: inline-block; position: relative; width: 246px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-12104"><span class="mi" id="MathJax-Span-12105" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-12106" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-12107" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-12108" style="font-family: STIXGeneral-Italic;">A</span><span class="mi" id="MathJax-Span-12109" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12110" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12111" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-12112" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-12113" style="font-family: STIXGeneral-Italic;">b</span><span class="mi" id="MathJax-Span-12114" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-12115" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12116" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-12117" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-12118" style="font-family: STIXGeneral-Italic;">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.5px;"></span></span><span class="mi" id="MathJax-Span-12119" style="font-family: STIXGeneral-Italic;">o</span><span class="mo" id="MathJax-Span-12120" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-12121" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-12122" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-12123" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12124" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-12125" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12126" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-12127" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-12128" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12129" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-12130" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12131" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12132" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-12133" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-12134" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-554">wasAttributedTo(id,e,ag,attrs)</script> statement.</li>
-    <li>The identifier field <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-555-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-12135"><span style="display: inline-block; position: relative; width: 16px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-12136"><span class="mi" id="MathJax-Span-12137" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-12138" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-555">id</script> is a <span class="conditional">KEY</span> for the
-    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-556-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-12139"><span style="display: inline-block; position: relative; width: 290px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-12140"><span class="mi" id="MathJax-Span-12141" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-12142" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-12143" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-12144" style="font-family: STIXGeneral-Italic;">A</span><span class="mi" id="MathJax-Span-12145" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-12146" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-12147" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-12148" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-12149" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-12150" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-12151" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12152" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-12153" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-12154" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mi" id="MathJax-Span-12155" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-12156" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12157" style="font-family: STIXGeneral-Italic;">h</span><span class="mo" id="MathJax-Span-12158" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-12159" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-12160" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-12161" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12162" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-12163" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12164" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-12165" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-12166" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12167" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">p</span><span class="mi" id="MathJax-Span-12168" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mo" id="MathJax-Span-12169" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12170" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-12171" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12172" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12173" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-12174" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-12175" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-556">wasAssociatedWith(id,a,ag,pl,attrs)</script> statement.</li>
-    <li>The identifier field <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-557-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-12176"><span style="display: inline-block; position: relative; width: 16px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-12177"><span class="mi" id="MathJax-Span-12178" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-12179" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-557">id</script> is a <span class="conditional">KEY</span> for the
-    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-558-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-12180"><span style="display: inline-block; position: relative; width: 302px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55.7px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-12181"><span class="mi" id="MathJax-Span-12182" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-12183" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-12184" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12185" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-12186" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-12187" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-12188" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-12189" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-12190" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-12191" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-12192" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-12193" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-12194" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-12195" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-12196" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-12197" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-12198" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-12199" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-12200" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12201" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="msubsup" id="MathJax-Span-12202"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12203" style="font-family: STIXGeneral-Italic;">g</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 10px;"><span class="mn" id="MathJax-Span-12204" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12205" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12206" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="msubsup" id="MathJax-Span-12207"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12208" style="font-family: STIXGeneral-Italic;">g</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 10px;"><span class="mn" id="MathJax-Span-12209" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12210" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12211" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-12212" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12213" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-12214" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12215" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12216" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-12217" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-12218" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.9px; vertical-align: -5.7px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-558">actedOnBehalfOf(id,ag_2,ag_1,a,attrs)</script> statement.</li>
-    <li>The identifier field <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-559-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-12219"><span style="display: inline-block; position: relative; width: 16px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-12220"><span class="mi" id="MathJax-Span-12221" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-12222" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.5px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-559">id</script> is a <span class="conditional">KEY</span> for the
-    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-560-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-12223"><span style="display: inline-block; position: relative; width: 261px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-12224"><span class="mi" id="MathJax-Span-12225" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-12226" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-12227" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-12228" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span class="mi" id="MathJax-Span-12229" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-12230" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-12231" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-12232" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-12233" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-12234" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-12235" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-12236" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-12237" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-12238" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-12239" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-12240" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-12241" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-12242" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-12243" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12244" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">o</span><span class="mn" id="MathJax-Span-12245" style="font-family: STIXGeneral-Regular;">2</span><span class="mo" id="MathJax-Span-12246" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12247" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">o</span><span class="mn" id="MathJax-Span-12248" style="font-family: STIXGeneral-Regular;">1</span><span class="mo" id="MathJax-Span-12249" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12250" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-12251" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12252" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12253" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-12254" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-12255" style="font-family: STIXGeneral-Regular;">)</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-560">wasInfluencedBy(id,o2,o1,attrs)</script> statement.</li></ol>
+    <li>The identifier field <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-543-Frame" class="MathJax"><nobr><span id="MathJax-Span-11898" class="math"><span style="display: inline-block; position: relative; width: 14px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.477em); top: -2.57em; left: 0em;"><span id="MathJax-Span-11899" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11900" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11901" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-543" type="math/tex">id</script> is a <span class="conditional">KEY</span> for the
+    <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-544-Frame" class="MathJax"><nobr><span id="MathJax-Span-11902" class="math"><span style="display: inline-block; position: relative; width: 224px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.511em); top: -2.57em; left: 0em;"><span id="MathJax-Span-11903" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11904" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11905" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11906" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11907" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11908" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11909" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11910" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11911" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11912" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11913" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11914" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11915" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11916" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11917" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11918" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11919" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11920" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-11921" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11922" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11923" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11924" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-11925" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11926" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11927" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11928" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-11929" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11930" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11931" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11932" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11933" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11934" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-544" type="math/tex">wasInformedBy(id,a_2,a_1,attrs)</script> statement.</li>
+    <li>The identifier field <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-545-Frame" class="MathJax"><nobr><span id="MathJax-Span-11935" class="math"><span style="display: inline-block; position: relative; width: 14px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.477em); top: -2.57em; left: 0em;"><span id="MathJax-Span-11936" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11937" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11938" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-545" type="math/tex">id</script> is a <span class="conditional">KEY</span> for the
+    <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-546-Frame" class="MathJax"><nobr><span id="MathJax-Span-11939" class="math"><span style="display: inline-block; position: relative; width: 236px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.511em); top: -2.57em; left: 0em;"><span id="MathJax-Span-11940" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11941" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11942" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11943" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11944" class="mi">S<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.008em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11945" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11946" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11947" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11948" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11949" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11950" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11951" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11952" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11953" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11954" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11955" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11956" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-11957" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11958" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11959" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11960" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-11961" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11962" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-11963" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11964" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11965" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11966" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-11967" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11968" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-11969" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11970" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11971" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11972" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11973" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11974" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-546" type="math/tex">wasStartedBy(id,a_2,e,a_1,t,attrs)</script> statement.</li>
+    <li>The identifier field <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-547-Frame" class="MathJax"><nobr><span id="MathJax-Span-11975" class="math"><span style="display: inline-block; position: relative; width: 14px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.477em); top: -2.57em; left: 0em;"><span id="MathJax-Span-11976" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11977" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11978" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-547" type="math/tex">id</script> is a <span class="conditional">KEY</span> for the
+    <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-548-Frame" class="MathJax"><nobr><span id="MathJax-Span-11979" class="math"><span style="display: inline-block; position: relative; width: 230px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.511em); top: -2.57em; left: 0em;"><span id="MathJax-Span-11980" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11981" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11982" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11983" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11984" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11985" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11986" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11987" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11988" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11989" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11990" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-11991" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11992" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11993" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11994" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-11995" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-11996" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-11997" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-11998" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-11999" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12000" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-12001" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12002" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12003" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12004" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12005" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12006" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12007" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12008" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12009" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12010" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12011" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12012" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-548" type="math/tex">wasEndedBy(id,a_2,e,a_1,t,attrs)</script> statement.</li>
+    <li>The identifier field <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-549-Frame" class="MathJax"><nobr><span id="MathJax-Span-12013" class="math"><span style="display: inline-block; position: relative; width: 14px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.477em); top: -2.57em; left: 0em;"><span id="MathJax-Span-12014" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12015" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12016" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-549" type="math/tex">id</script> is a <span class="conditional">KEY</span> for the
+    <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-550-Frame" class="MathJax"><nobr><span id="MathJax-Span-12017" class="math"><span style="display: inline-block; position: relative; width: 233px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.511em); top: -2.57em; left: 0em;"><span id="MathJax-Span-12018" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12019" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12020" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12021" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12022" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12023" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12024" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12025" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12026" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12027" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12028" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12029" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12030" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12031" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12032" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12033" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12034" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12035" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12036" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12037" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12038" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12039" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12040" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12041" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12042" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12043" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12044" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12045" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12046" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12047" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12048" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12049" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12050" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-550" type="math/tex">wasInvalidatedBy(id,e,a,t,attrs)</script> statement.</li>
+    <li>The identifier field <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-551-Frame" class="MathJax"><nobr><span id="MathJax-Span-12051" class="math"><span style="display: inline-block; position: relative; width: 14px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.477em); top: -2.57em; left: 0em;"><span id="MathJax-Span-12052" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12053" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12054" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-551" type="math/tex">id</script> is a <span class="conditional">KEY</span> for the
+    <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-552-Frame" class="MathJax"><nobr><span id="MathJax-Span-12055" class="math"><span style="display: inline-block; position: relative; width: 295px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.987em, -0.511em); top: -2.57em; left: 0em;"><span id="MathJax-Span-12056" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12057" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12058" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12059" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12060" class="mi">D</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12061" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12062" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12063" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12064" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12065" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12066" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12067" class="mi">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.034em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12068" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12069" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12070" class="mi">m</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12071" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12072" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12073" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12074" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-12075" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12076" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12077" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12078" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-12079" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12080" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12081" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12082" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12083" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12084" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-12085" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.951em, -0.518em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12086" class="mi">g</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.861em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12087" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12088" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-12089" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.484em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12090" class="mi">u</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12091" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12092" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12093" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12094" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12095" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12096" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12097" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12098" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.114em; vertical-align: -0.321em;"></span></span></nobr></span><script id="MathJax-Element-552" type="math/tex">wasDerivedFrom(id,e_2,e_1,a,g_2,u_1,attrs)</script> statement.</li>
+    <li>The identifier field <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-553-Frame" class="MathJax"><nobr><span id="MathJax-Span-12099" class="math"><span style="display: inline-block; position: relative; width: 14px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.477em); top: -2.57em; left: 0em;"><span id="MathJax-Span-12100" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12101" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12102" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-553" type="math/tex">id</script> is a <span class="conditional">KEY</span> for the
+    <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-554-Frame" class="MathJax"><nobr><span id="MathJax-Span-12103" class="math"><span style="display: inline-block; position: relative; width: 222px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.511em); top: -2.57em; left: 0em;"><span id="MathJax-Span-12104" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12105" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12106" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12107" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12108" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12109" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12110" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12111" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12112" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12113" class="mi">b</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12114" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12115" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12116" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12117" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12118" class="mi">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.077em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12119" class="mi">o</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12120" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12121" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12122" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12123" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12124" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12125" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12126" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12127" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12128" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12129" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12130" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12131" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12132" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12133" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12134" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-554" type="math/tex">wasAttributedTo(id,e,ag,attrs)</script> statement.</li>
+    <li>The identifier field <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-555-Frame" class="MathJax"><nobr><span id="MathJax-Span-12135" class="math"><span style="display: inline-block; position: relative; width: 14px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.477em); top: -2.57em; left: 0em;"><span id="MathJax-Span-12136" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12137" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12138" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-555" type="math/tex">id</script> is a <span class="conditional">KEY</span> for the
+    <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-556-Frame" class="MathJax"><nobr><span id="MathJax-Span-12139" class="math"><span style="display: inline-block; position: relative; width: 262px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.511em); top: -2.57em; left: 0em;"><span id="MathJax-Span-12140" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12141" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12142" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12143" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12144" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12145" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12146" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12147" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12148" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12149" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12150" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12151" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12152" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12153" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12154" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12155" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12156" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12157" class="mi">h</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12158" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12159" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12160" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12161" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12162" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12163" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12164" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12165" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12166" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12167" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12168" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12169" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12170" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12171" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12172" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12173" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12174" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12175" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.076em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-556" type="math/tex">wasAssociatedWith(id,a,ag,pl,attrs)</script> statement.</li>
+    <li>The identifier field <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-557-Frame" class="MathJax"><nobr><span id="MathJax-Span-12176" class="math"><span style="display: inline-block; position: relative; width: 14px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.477em); top: -2.57em; left: 0em;"><span id="MathJax-Span-12177" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12178" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12179" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-557" type="math/tex">id</script> is a <span class="conditional">KEY</span> for the
+    <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-558-Frame" class="MathJax"><nobr><span id="MathJax-Span-12180" class="math"><span style="display: inline-block; position: relative; width: 272px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.987em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-12181" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12182" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12183" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12184" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12185" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12186" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12187" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12188" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12189" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12190" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12191" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12192" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12193" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12194" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12195" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12196" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12197" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12198" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12199" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12200" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12201" class="mi">a</span><span id="MathJax-Span-12202" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.951em, -0.518em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12203" class="mi">g</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.861em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12204" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12205" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12206" class="mi">a</span><span id="MathJax-Span-12207" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.951em, -0.518em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12208" class="mi">g</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.861em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12209" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12210" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12211" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12212" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12213" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12214" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12215" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12216" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12217" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12218" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.114em; vertical-align: -0.321em;"></span></span></nobr></span><script id="MathJax-Element-558" type="math/tex">actedOnBehalfOf(id,ag_2,ag_1,a,attrs)</script> statement.</li>
+    <li>The identifier field <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-559-Frame" class="MathJax"><nobr><span id="MathJax-Span-12219" class="math"><span style="display: inline-block; position: relative; width: 14px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.477em); top: -2.57em; left: 0em;"><span id="MathJax-Span-12220" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12221" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12222" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.87em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-559" type="math/tex">id</script> is a <span class="conditional">KEY</span> for the
+    <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-560-Frame" class="MathJax"><nobr><span id="MathJax-Span-12223" class="math"><span style="display: inline-block; position: relative; width: 235px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.511em); top: -2.57em; left: 0em;"><span id="MathJax-Span-12224" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12225" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12226" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12227" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12228" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12229" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12230" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12231" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12232" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12233" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12234" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12235" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12236" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12237" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12238" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12239" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12240" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12241" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12242" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12243" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12244" class="mi">o</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12245" class="mn">2</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12246" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12247" class="mi">o</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12248" class="mn">1</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12249" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12250" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12251" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12252" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12253" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12254" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12255" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-560" type="math/tex">wasInfluencedBy(id,o2,o1,attrs)</script> statement.</li></ol>
   </div>
-<div class="constraint" number="24" id="unique-generation"><div class="ruleTitle"><a class="internalDFN" href="#unique-generation">Constraint 24 (unique-generation)</a></div><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-561-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-12256"><span style="display: inline-block; position: relative; width: 644px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 97.3px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-12257"><span class="mtable" id="MathJax-Span-12258" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 638px; height: 0px;"><span style="position: absolute; clip: rect(69.2px 19360px 141.3px -9px); top: -85px; left: 0px;"><span style="display: inline-block; position: relative; width: 638px; height: 0px;"><span style="position: absolute; clip: rect(32.2px 19360px 55px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-12259"><span class="mrow" id="MathJax-Span-12260"><span class="mi" id="MathJax-Span-12261" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-12262" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-12263" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-12264"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12265" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-12266" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12267" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12268" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">g</span><span class="mi" id="MathJax-Span-12269" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-12270"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12271" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-12272" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12273" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12274" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-12275" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12276" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-12277" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-12278" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12279" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-12280" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12281" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-12282" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12283" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-12284" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12285" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12286" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-12287" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12288" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12289" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-12290"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12291" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-12292" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12293" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12294" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-12295" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12296" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12297" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-12298"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12299" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-12300" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12301" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-12302" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -22.1px; left: 0px;"><span class="mtd" id="MathJax-Span-12303"><span class="mrow" id="MathJax-Span-12304"><span class="mspace" id="MathJax-Span-12305" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-12306" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-12307" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-12308" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-12309" style="font-family: STIXGeneral-Italic;">G</span><span class="mi" id="MathJax-Span-12310" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-12311" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-12312" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-12313" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-12314" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-12315" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12316" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-12317" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-12318" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-12319" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-12320" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-12321" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-12322" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-12323"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12324" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-12325" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12326" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12327" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-12328" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12329" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-12330" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-12331" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12332" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-12333" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12334" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12335" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-12336" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12337" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12338" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-12339"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12340" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-12341" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12342" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-12343" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-12344" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-12345" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-12346" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-12347" style="font-family: STIXGeneral-Italic;">G</span><span class="mi" id="MathJax-Span-12348" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-12349" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-12350" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-12351" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-12352" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-12353" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12354" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-12355" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-12356" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-12357" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-12358" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-12359" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-12360" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-12361"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12362" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-12363" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12364" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12365" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-12366" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12367" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-12368" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-12369" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12370" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-12371" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12372" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12373" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-12374" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12375" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12376" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-12377"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12378" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-12379" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12380" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(35.3px 19360px 56px -9px); top: 0.3px; left: 0px;"><span class="mtd" id="MathJax-Span-12381"><span class="mrow" id="MathJax-Span-12382"><span class="mspace" id="MathJax-Span-12383" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-12384" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-12385" style="font-family: STIXGeneral-Italic; padding-left: 6px;">g</span><span class="mi" id="MathJax-Span-12386" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-12387"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12388" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-12389" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12390" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-12391" style="font-family: STIXGeneral-Italic; padding-left: 6px;">g</span><span class="mi" id="MathJax-Span-12392" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-12393"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12394" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-12395" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 85px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 70.8px; vertical-align: -54.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-561">\begin{array}[t]{l}
+<div class="constraint" number="24" id="unique-generation"><div class="ruleTitle"><a href="#unique-generation" class="internalDFN">Constraint 24 (unique-generation)</a></div><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-561-Frame" class="MathJax"><nobr><span id="MathJax-Span-12256" class="math"><span style="display: inline-block; position: relative; width: 582px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 4.972em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-12257" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-12258" class="mtable"><span style="display: inline-block; position: relative; width: 33.645em; height: 0px;"><span style="position: absolute; clip: rect(3.602em, 1000em, 7.366em, -0.526em); top: -4.439em; left: 0em;"><span style="display: inline-block; position: relative; width: 33.645em; height: 0px;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.951em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-12259" class="mtd"><span id="MathJax-Span-12260" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-12261" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12262" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12263" class="mi">e</span><span id="MathJax-Span-12264" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.754em, -0.512em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12265" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12266" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12267" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12268" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12269" class="mi">e</span><span id="MathJax-Span-12270" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.754em, -0.512em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12271" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12272" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12273" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12274" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12275" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12276" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12277" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-12278" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12279" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12280" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12281" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-12282" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12283" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12284" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12285" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12286" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12287" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12288" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12289" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-12290" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12291" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12292" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12293" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12294" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12295" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12296" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12297" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-12298" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12299" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12300" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12301" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-12302" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: -1.231em; left: 0em;"><span id="MathJax-Span-12303" class="mtd"><span id="MathJax-Span-12304" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-12305" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12306" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12307" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12308" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12309" class="mi">G</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12310" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12311" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12312" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12313" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12314" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12315" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12316" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12317" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12318" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12319" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12320" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12321" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12322" class="mi">e</span><span id="MathJax-Span-12323" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.754em, -0.512em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12324" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12325" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12326" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12327" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12328" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12329" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12330" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-12331" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12332" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12333" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12334" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12335" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12336" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12337" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12338" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-12339" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12340" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12341" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12342" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-12343" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-12344" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12345" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12346" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12347" class="mi">G</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12348" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12349" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12350" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12351" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12352" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12353" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12354" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12355" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12356" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12357" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12358" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12359" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12360" class="mi">e</span><span id="MathJax-Span-12361" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.754em, -0.512em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12362" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12363" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12364" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12365" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12366" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12367" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12368" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-12369" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12370" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12371" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12372" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12373" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12374" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12375" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12376" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-12377" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12378" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12379" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12380" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.844em, 1000em, 2.951em, -0.526em); top: -0.024em; left: 0em;"><span id="MathJax-Span-12381" class="mtd"><span id="MathJax-Span-12382" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-12383" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12384" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-12385" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12386" class="mi">e</span><span id="MathJax-Span-12387" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.754em, -0.512em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12388" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12389" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-12390" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-12391" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12392" class="mi">e</span><span id="MathJax-Span-12393" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.754em, -0.512em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12394" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12395" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.439em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 3.926em; vertical-align: -3.007em;"></span></span></nobr></span><script id="MathJax-Element-561" type="math/tex">\begin{array}[t]{l}
 \forall gen_1,gen_2,e,a,t_1,t_2,attrs_1,attrs_2.~
 \\
 \qquad wasGeneratedBy(gen_1,e,a,t_1,attrs_1) \wedge wasGeneratedBy(gen_2,e,a,t_2,attrs_2)
@@ -2410,7 +2410,7 @@
 \quad\Rightarrow
 gen_1 = gen_2
 \end{array}</script></div>
-<div class="constraint" number="25" id="unique-invalidation"><div class="ruleTitle"><a class="internalDFN" href="#unique-invalidation">Constraint 25 (unique-invalidation)</a></div><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-562-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-12396"><span style="display: inline-block; position: relative; width: 650px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 98.1px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-12397"><span class="mtable" id="MathJax-Span-12398" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 644px; height: 0px;"><span style="position: absolute; clip: rect(69.2px 19360px 141.1px -9px); top: -85px; left: 0px;"><span style="display: inline-block; position: relative; width: 644px; height: 0px;"><span style="position: absolute; clip: rect(32.2px 19360px 53.9px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-12399"><span class="mrow" id="MathJax-Span-12400"><span class="mi" id="MathJax-Span-12401" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-12402" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-12403" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-12404"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.3px -8.6px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12405" style="font-family: STIXGeneral-Italic;">v</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-12406" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12407" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12408" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">i</span><span class="mi" id="MathJax-Span-12409" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-12410"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.3px -8.6px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12411" style="font-family: STIXGeneral-Italic;">v</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-12412" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12413" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12414" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-12415" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12416" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-12417" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-12418" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12419" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-12420" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12421" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-12422" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12423" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-12424" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12425" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12426" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-12427" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12428" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12429" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-12430"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12431" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-12432" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12433" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12434" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-12435" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12436" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12437" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-12438"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12439" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-12440" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12441" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-12442" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -23.2px; left: 0px;"><span class="mtd" id="MathJax-Span-12443"><span class="mrow" id="MathJax-Span-12444"><span class="mspace" id="MathJax-Span-12445" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-12446" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-12447" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-12448" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-12449" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span class="mi" id="MathJax-Span-12450" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-12451" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-12452" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-12453" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-12454" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-12455" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-12456" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-12457" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12458" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-12459" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-12460" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-12461" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-12462" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-12463" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-12464" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-12465"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.3px -8.6px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12466" style="font-family: STIXGeneral-Italic;">v</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-12467" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12468" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12469" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-12470" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12471" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-12472" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-12473" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12474" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-12475" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12476" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12477" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-12478" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12479" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12480" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-12481"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12482" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-12483" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12484" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-12485" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-12486" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-12487" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-12488" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-12489" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span class="mi" id="MathJax-Span-12490" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-12491" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-12492" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-12493" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-12494" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-12495" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-12496" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-12497" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12498" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-12499" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-12500" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-12501" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-12502" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-12503" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-12504" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-12505"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.3px -8.6px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12506" style="font-family: STIXGeneral-Italic;">v</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-12507" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12508" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12509" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-12510" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12511" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-12512" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-12513" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12514" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-12515" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12516" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12517" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-12518" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12519" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12520" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-12521"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12522" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-12523" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12524" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(33.3px 19360px 54.9px -9px); top: 1.2px; left: 0px;"><span class="mtd" id="MathJax-Span-12525"><span class="mrow" id="MathJax-Span-12526"><span class="mspace" id="MathJax-Span-12527" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-12528" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-12529" style="font-family: STIXGeneral-Italic; padding-left: 6px;">i</span><span class="mi" id="MathJax-Span-12530" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-12531"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.3px -8.6px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12532" style="font-family: STIXGeneral-Italic;">v</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-12533" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12534" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-12535" style="font-family: STIXGeneral-Italic; padding-left: 6px;">i</span><span class="mi" id="MathJax-Span-12536" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-12537"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.3px -8.6px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12538" style="font-family: STIXGeneral-Italic;">v</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-12539" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 85px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 71.6px; vertical-align: -55.1px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-562">\begin{array}[t]{l}
+<div class="constraint" number="25" id="unique-invalidation"><div class="ruleTitle"><a href="#unique-invalidation" class="internalDFN">Constraint 25 (unique-invalidation)</a></div><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-562-Frame" class="MathJax"><nobr><span id="MathJax-Span-12396" class="math"><span style="display: inline-block; position: relative; width: 588px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.013em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-12397" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-12398" class="mtable"><span style="display: inline-block; position: relative; width: 33.995em; height: 0px;"><span style="position: absolute; clip: rect(3.544em, 1000em, 7.299em, -0.526em); top: -4.381em; left: 0em;"><span style="display: inline-block; position: relative; width: 33.995em; height: 0px;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.895em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-12399" class="mtd"><span id="MathJax-Span-12400" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-12401" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12402" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12403" class="mi">n</span><span id="MathJax-Span-12404" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.763em, -0.506em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12405" class="mi">v</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12406" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12407" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12408" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12409" class="mi">n</span><span id="MathJax-Span-12410" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.763em, -0.506em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12411" class="mi">v</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12412" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12413" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12414" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12415" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12416" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12417" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-12418" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12419" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12420" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12421" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-12422" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12423" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12424" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12425" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12426" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12427" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12428" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12429" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-12430" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12431" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12432" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12433" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12434" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12435" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12436" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12437" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-12438" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12439" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12440" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12441" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-12442" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: -1.287em; left: 0em;"><span id="MathJax-Span-12443" class="mtd"><span id="MathJax-Span-12444" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-12445" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12446" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12447" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12448" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12449" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12450" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12451" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12452" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12453" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12454" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12455" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12456" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12457" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12458" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12459" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12460" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12461" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12462" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12463" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12464" class="mi">n</span><span id="MathJax-Span-12465" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.763em, -0.506em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12466" class="mi">v</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12467" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12468" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12469" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12470" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12471" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12472" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-12473" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12474" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12475" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12476" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12477" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12478" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12479" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12480" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-12481" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12482" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12483" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12484" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-12485" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-12486" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12487" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12488" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12489" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12490" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12491" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12492" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12493" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12494" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12495" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12496" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12497" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12498" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12499" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12500" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12501" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12502" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12503" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12504" class="mi">n</span><span id="MathJax-Span-12505" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.763em, -0.506em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12506" class="mi">v</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12507" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12508" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12509" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12510" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12511" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12512" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-12513" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12514" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12515" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12516" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12517" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12518" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12519" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12520" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-12521" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12522" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12523" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12524" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.741em, 1000em, 2.895em, -0.526em); top: 0.023em; left: 0em;"><span id="MathJax-Span-12525" class="mtd"><span id="MathJax-Span-12526" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-12527" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12528" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-12529" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12530" class="mi">n</span><span id="MathJax-Span-12531" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.763em, -0.506em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12532" class="mi">v</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12533" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-12534" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-12535" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12536" class="mi">n</span><span id="MathJax-Span-12537" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.763em, -0.506em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12538" class="mi">v</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12539" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.381em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 3.97em; vertical-align: -3.051em;"></span></span></nobr></span><script id="MathJax-Element-562" type="math/tex">\begin{array}[t]{l}
 \forall inv_1,inv_2,e,a,t_1,t_2,attrs_1,attrs_2.~
 \\
 \qquad wasInvalidatedBy(inv_1,e,a,t_1,attrs_1) \wedge wasInvalidatedBy(inv_2,e,a,t_2,attrs_2)
@@ -2418,7 +2418,7 @@
 \quad\Rightarrow
 inv_1 = inv_2
 \end{array}</script></div>
-<div class="constraint" number="26" id="unique-wasStartedBy"><div class="ruleTitle"><a class="internalDFN" href="#unique-wasStartedBy">Constraint 26 (unique-wasStartedBy)</a></div><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-563-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-12540"><span style="display: inline-block; position: relative; width: 679px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 96.3px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-12541"><span class="mtable" id="MathJax-Span-12542" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 673px; height: 0px;"><span style="position: absolute; clip: rect(67.2px 19360px 137.3px -9px); top: -83px; left: 0px;"><span style="display: inline-block; position: relative; width: 673px; height: 0px;"><span style="position: absolute; clip: rect(32.2px 19360px 54.1px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-12543"><span class="mrow" id="MathJax-Span-12544"><span class="mi" id="MathJax-Span-12545" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-12546" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-12547" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12548" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-12549" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-12550"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12551" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-12552" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12553" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12554" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">s</span><span class="mi" id="MathJax-Span-12555" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12556" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-12557" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-12558"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12559" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-12560" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12561" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12562" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-12563" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-12564" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12565" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-12566" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12567" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-12568" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12569" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-12570" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12571" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-12572" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12573" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-12574" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">0</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12575" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-12576" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12577" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-12578" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12579" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-12580" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12581" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-12582" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12583" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12584" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-12585" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12586" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12587" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-12588"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12589" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-12590" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12591" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12592" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-12593" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12594" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12595" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-12596"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12597" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-12598" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12599" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-12600" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -23px; left: 0px;"><span class="mtd" id="MathJax-Span-12601"><span class="mrow" id="MathJax-Span-12602"><span class="mspace" id="MathJax-Span-12603" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-12604" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-12605" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-12606" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-12607" style="font-family: STIXGeneral-Italic;">S<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.2px;"></span></span><span class="mi" id="MathJax-Span-12608" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12609" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-12610" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-12611" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12612" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-12613" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-12614" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-12615" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-12616" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-12617" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-12618" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12619" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-12620" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-12621"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12622" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-12623" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12624" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12625" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-12626" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-12627" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12628" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-12629" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12630" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-12631" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12632" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-12633" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">0</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12634" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-12635" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12636" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-12637" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12638" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12639" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-12640" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12641" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12642" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-12643"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12644" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-12645" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12646" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-12647" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-12648" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-12649" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-12650" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-12651" style="font-family: STIXGeneral-Italic;">S<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.2px;"></span></span><span class="mi" id="MathJax-Span-12652" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12653" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-12654" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-12655" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12656" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-12657" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-12658" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-12659" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-12660" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-12661" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-12662" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12663" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-12664" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-12665"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12666" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-12667" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12668" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12669" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-12670" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-12671" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12672" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-12673" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12674" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-12675" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12676" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-12677" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">0</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12678" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-12679" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12680" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-12681" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12682" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12683" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-12684" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12685" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12686" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-12687"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12688" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-12689" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12690" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(35.3px 19360px 54.9px -9px); top: -0.6px; left: 0px;"><span class="mtd" id="MathJax-Span-12691"><span class="mrow" id="MathJax-Span-12692"><span class="mspace" id="MathJax-Span-12693" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-12694" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-12695" style="font-family: STIXGeneral-Italic; padding-left: 6px;">s</span><span class="mi" id="MathJax-Span-12696" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12697" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-12698" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-12699"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12700" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-12701" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12702" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-12703" style="font-family: STIXGeneral-Italic; padding-left: 6px;">s</span><span class="mi" id="MathJax-Span-12704" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12705" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-12706" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-12707"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12708" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-12709" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 83px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 69.8px; vertical-align: -53.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-563">\begin{array}[t]{l}
+<div class="constraint" number="26" id="unique-wasStartedBy"><div class="ruleTitle"><a href="#unique-wasStartedBy" class="internalDFN">Constraint 26 (unique-wasStartedBy)</a></div><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-563-Frame" class="MathJax"><nobr><span id="MathJax-Span-12540" class="math"><span style="display: inline-block; position: relative; width: 615px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 4.92em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-12541" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-12542" class="mtable"><span style="display: inline-block; position: relative; width: 35.572em; height: 0px;"><span style="position: absolute; clip: rect(3.485em, 1000em, 7.148em, -0.526em); top: -4.322em; left: 0em;"><span style="display: inline-block; position: relative; width: 35.572em; height: 0px;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.905em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-12543" class="mtd"><span id="MathJax-Span-12544" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-12545" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12546" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12547" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12548" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12549" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-12550" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12551" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12552" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12553" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12554" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12555" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12556" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12557" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-12558" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12559" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12560" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12561" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12562" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12563" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-12564" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12565" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12566" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12567" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-12568" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12569" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12570" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12571" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-12572" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12573" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12574" class="mn">0</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12575" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-12576" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12577" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12578" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12579" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-12580" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12581" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12582" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12583" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12584" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12585" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12586" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12587" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-12588" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12589" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12590" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12591" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12592" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12593" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12594" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12595" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-12596" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12597" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12598" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12599" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-12600" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: -1.277em; left: 0em;"><span id="MathJax-Span-12601" class="mtd"><span id="MathJax-Span-12602" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-12603" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12604" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12605" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12606" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12607" class="mi">S<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.008em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12608" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12609" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12610" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12611" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12612" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12613" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12614" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12615" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12616" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12617" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12618" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12619" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12620" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-12621" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12622" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12623" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12624" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12625" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12626" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-12627" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12628" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12629" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12630" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-12631" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12632" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12633" class="mn">0</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12634" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-12635" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12636" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12637" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12638" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12639" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12640" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12641" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12642" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-12643" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12644" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12645" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12646" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-12647" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-12648" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12649" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12650" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12651" class="mi">S<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.008em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12652" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12653" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12654" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12655" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12656" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12657" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12658" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12659" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12660" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12661" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12662" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12663" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12664" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-12665" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12666" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12667" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12668" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12669" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12670" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-12671" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12672" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12673" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12674" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-12675" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12676" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12677" class="mn">0</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12678" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-12679" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12680" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12681" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12682" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12683" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12684" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12685" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12686" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-12687" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12688" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12689" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12690" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.844em, 1000em, 2.895em, -0.526em); top: -0.07em; left: 0em;"><span id="MathJax-Span-12691" class="mtd"><span id="MathJax-Span-12692" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-12693" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12694" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-12695" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12696" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12697" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12698" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-12699" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12700" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12701" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-12702" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-12703" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12704" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12705" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12706" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-12707" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12708" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12709" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.322em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 3.87em; vertical-align: -2.951em;"></span></span></nobr></span><script id="MathJax-Element-563" type="math/tex">\begin{array}[t]{l}
 \forall start_1,start_2,a,e_1,e_2,a_0,t_1,t_2,attrs_1,attrs_2.~
 \\
 \qquad wasStartedBy(start_1,a,e_1,a_0,t_1,attrs_1) \wedge wasStartedBy(start_2,a,e_2,a_0,t_2,attrs_2)
@@ -2426,7 +2426,7 @@
 \quad\Rightarrow
 start_1 = start_2
 \end{array}</script></div>
-<div class="constraint" number="27" id="unique-wasEndedBy"><div class="ruleTitle"><a class="internalDFN" href="#unique-wasEndedBy">Constraint 27 (unique-wasEndedBy)</a></div><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-564-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-12710"><span style="display: inline-block; position: relative; width: 655px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 98.8px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-12711"><span class="mtable" id="MathJax-Span-12712" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 649px; height: 0px;"><span style="position: absolute; clip: rect(69.8px 19360px 142.9px -9px); top: -86px; left: 0px;"><span style="display: inline-block; position: relative; width: 649px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 54.1px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-12713"><span class="mrow" id="MathJax-Span-12714"><span class="mi" id="MathJax-Span-12715" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-12716" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-12717" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-12718"><span style="display: inline-block; position: relative; width: 18.9px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12719" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10.5px;"><span class="mn" id="MathJax-Span-12720" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12721" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12722" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mi" id="MathJax-Span-12723" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-12724"><span style="display: inline-block; position: relative; width: 18.9px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12725" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10.5px;"><span class="mn" id="MathJax-Span-12726" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12727" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12728" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-12729" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-12730" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12731" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-12732" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12733" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-12734" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12735" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-12736" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12737" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-12738" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12739" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-12740" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">0</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12741" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-12742" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12743" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-12744" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12745" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-12746" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12747" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-12748" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12749" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12750" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-12751" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12752" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12753" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-12754"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12755" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-12756" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12757" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12758" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-12759" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12760" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12761" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-12762"><span style="display: inline-block; 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vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-12770" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-12771" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-12772" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-12773" style="font-family: STIXGeneral-Italic;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-12774" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-12775" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-12776" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-12777" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; 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top: -39.1px; left: 10.5px;"><span class="mn" id="MathJax-Span-12785" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12786" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12787" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-12788" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-12789" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12790" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-12791" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12792" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-12793" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12794" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-12795" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">0</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12796" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-12797" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12798" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-12799" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12800" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12801" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-12802" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; 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width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12808" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-12809" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-12810" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-12811" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-12812" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-12813" style="font-family: STIXGeneral-Italic;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-12814" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-12815" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-12816" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-12817" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-12818" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-12819" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-12820" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-12821" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-12822" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-12823"><span style="display: inline-block; position: relative; width: 18.9px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12824" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10.5px;"><span class="mn" id="MathJax-Span-12825" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12826" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12827" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-12828" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-12829" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12830" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-12831" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12832" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-12833" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12834" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-12835" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">0</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12836" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-12837" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12838" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-12839" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12840" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12841" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-12842" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12843" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12844" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-12845"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12846" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-12847" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; 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height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12862" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10.5px;"><span class="mn" id="MathJax-Span-12863" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 86px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 72.3px; vertical-align: -55.8px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-564">\begin{array}[t]{l}
+<div class="constraint" number="27" id="unique-wasEndedBy"><div class="ruleTitle"><a href="#unique-wasEndedBy" class="internalDFN">Constraint 27 (unique-wasEndedBy)</a></div><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-564-Frame" class="MathJax"><nobr><span id="MathJax-Span-12710" class="math"><span style="display: inline-block; position: relative; width: 589px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.052em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-12711" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-12712" class="mtable"><span style="display: inline-block; position: relative; width: 34.054em; height: 0px;"><span style="position: absolute; clip: rect(3.581em, 1000em, 7.396em, -0.526em); top: -4.439em; left: 0em;"><span style="display: inline-block; position: relative; width: 34.054em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.905em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-12713" class="mtd"><span id="MathJax-Span-12714" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-12715" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12716" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12717" class="mi">n</span><span id="MathJax-Span-12718" class="msubsup"><span style="display: inline-block; position: relative; width: 0.924em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.511em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12719" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.499em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12720" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12721" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12722" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12723" class="mi">n</span><span id="MathJax-Span-12724" class="msubsup"><span style="display: inline-block; position: relative; width: 0.924em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.511em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12725" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.499em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12726" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12727" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12728" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12729" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-12730" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12731" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12732" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12733" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-12734" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12735" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12736" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12737" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-12738" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12739" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12740" class="mn">0</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12741" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-12742" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12743" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12744" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12745" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-12746" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12747" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12748" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12749" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12750" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12751" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12752" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12753" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-12754" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12755" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12756" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12757" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12758" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12759" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12760" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12761" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-12762" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12763" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12764" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12765" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-12766" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: -1.277em; left: 0em;"><span id="MathJax-Span-12767" class="mtd"><span id="MathJax-Span-12768" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-12769" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12770" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12771" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12772" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12773" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12774" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12775" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12776" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12777" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12778" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12779" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12780" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12781" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12782" class="mi">n</span><span id="MathJax-Span-12783" class="msubsup"><span style="display: inline-block; position: relative; width: 0.924em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.511em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12784" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.499em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12785" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12786" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12787" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12788" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-12789" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12790" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12791" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12792" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-12793" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12794" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12795" class="mn">0</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12796" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-12797" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12798" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12799" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12800" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12801" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12802" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12803" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12804" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-12805" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12806" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12807" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12808" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-12809" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-12810" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12811" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12812" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12813" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12814" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12815" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12816" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12817" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12818" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12819" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12820" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12821" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12822" class="mi">n</span><span id="MathJax-Span-12823" class="msubsup"><span style="display: inline-block; position: relative; width: 0.924em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.511em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12824" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.499em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12825" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12826" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12827" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12828" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-12829" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12830" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12831" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12832" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-12833" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12834" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12835" class="mn">0</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12836" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-12837" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12838" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12839" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12840" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12841" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12842" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12843" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12844" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-12845" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12846" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12847" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12848" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.895em, -0.526em); top: 0.062em; left: 0em;"><span id="MathJax-Span-12849" class="mtd"><span id="MathJax-Span-12850" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-12851" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12852" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-12853" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12854" class="mi">n</span><span id="MathJax-Span-12855" class="msubsup"><span style="display: inline-block; position: relative; width: 0.924em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.511em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12856" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.499em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12857" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-12858" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-12859" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12860" class="mi">n</span><span id="MathJax-Span-12861" class="msubsup"><span style="display: inline-block; position: relative; width: 0.924em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.511em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12862" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.499em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12863" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.439em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 4.011em; vertical-align: -3.093em;"></span></span></nobr></span><script id="MathJax-Element-564" type="math/tex">\begin{array}[t]{l}
 \forall end_1,end_2,a,e_1,e_2,a_0,t_1,t_2,attrs_1,attrs_2.~
 \\
 \qquad wasEndedBy(end_1,a,e_1,a_0,t_1,attrs_1) \wedge wasEndedBy(end_2,a,e_2,a_0,t_2,attrs_2)
@@ -2434,7 +2434,7 @@
 \quad\Rightarrow
 end_1 = end_2
 \end{array}</script></div>
-<div class="constraint" number="28" id="unique-startTime"><div class="ruleTitle"><a class="internalDFN" href="#unique-startTime">Constraint 28 (unique-startTime)</a></div><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-565-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-12864"><span style="display: inline-block; position: relative; width: 529px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 96.1px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-12865"><span class="mtable" id="MathJax-Span-12866" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 523px; height: 0px;"><span style="position: absolute; clip: rect(67.2px 19360px 137.1px -9px); top: -83px; left: 0px;"><span style="display: inline-block; position: relative; width: 523px; height: 0px;"><span style="position: absolute; clip: rect(32.2px 19360px 53.9px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-12867"><span class="mrow" id="MathJax-Span-12868"><span class="mi" id="MathJax-Span-12869" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-12870" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-12871" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12872" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-12873" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-12874" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-12875" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-12876" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12877" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-12878" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12879" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-12880" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12881" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-12882" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12883" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12884" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-12885" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-12886" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12887" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-12888" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12889" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-12890" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12891" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-12892" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12893" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12894" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-12895" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12896" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-12897" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12898" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12899" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-12900" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-12901" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12902" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-12903" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12904" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12905" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-12906"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12907" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-12908" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12909" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-12910" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -23.2px; left: 0px;"><span class="mtd" id="MathJax-Span-12911"><span class="mrow" id="MathJax-Span-12912"><span class="mspace" id="MathJax-Span-12913" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-12914" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-12915" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-12916" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12917" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-12918" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-12919" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-12920" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12921" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-12922" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-12923"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12924" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-12925" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12926" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-12927" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12928" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-12929" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12930" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-12931" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12932" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-12933" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12934" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12935" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-12936" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12937" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12938" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-12939" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-12940" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-12941" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-12942" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-12943" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-12944" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-12945" style="font-family: STIXGeneral-Italic;">S<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.2px;"></span></span><span class="mi" id="MathJax-Span-12946" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12947" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-12948" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-12949" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12950" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-12951" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-12952" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-12953" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-12954" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-12955" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-12956" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12957" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-12958" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-12959" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-12960" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-12961" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12962" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-12963" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12964" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12965" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-12966" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-12967" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12968" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-12969" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12970" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12971" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-12972" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-12973" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-12974" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12975" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-12976" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-12977"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12978" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-12979" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12980" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(35.3px 19360px 54.9px -9px); top: -0.8px; left: 0px;"><span class="mtd" id="MathJax-Span-12981"><span class="mrow" id="MathJax-Span-12982"><span class="mspace" id="MathJax-Span-12983" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-12984" style="font-family: STIXGeneral-Regular;">⇒</span><span class="msubsup" id="MathJax-Span-12985" style="padding-left: 6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-12986" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-12987" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-12988" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-12989" style="font-family: STIXGeneral-Italic; padding-left: 6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 83px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 69.6px; vertical-align: -53.1px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-565">\begin{array}[t]{l}
+<div class="constraint" number="28" id="unique-startTime"><div class="ruleTitle"><a href="#unique-startTime" class="internalDFN">Constraint 28 (unique-startTime)</a></div><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-565-Frame" class="MathJax"><nobr><span id="MathJax-Span-12864" class="math"><span style="display: inline-block; position: relative; width: 483px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 4.91em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-12865" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-12866" class="mtable"><span style="display: inline-block; position: relative; width: 27.862em; height: 0px;"><span style="position: absolute; clip: rect(3.485em, 1000em, 7.138em, -0.526em); top: -4.322em; left: 0em;"><span style="display: inline-block; position: relative; width: 27.862em; height: 0px;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.895em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-12867" class="mtd"><span id="MathJax-Span-12868" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-12869" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12870" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12871" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12872" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12873" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12874" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12875" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-12876" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12877" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12878" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12879" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-12880" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12881" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12882" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12883" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12884" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12885" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-12886" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12887" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12888" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12889" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-12890" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12891" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12892" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12893" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12894" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12895" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12896" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12897" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12898" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12899" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12900" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12901" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12902" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12903" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12904" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12905" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-12906" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12907" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12908" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12909" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-12910" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: -1.287em; left: 0em;"><span id="MathJax-Span-12911" class="mtd"><span id="MathJax-Span-12912" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-12913" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12914" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12915" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12916" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12917" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12918" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12919" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12920" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12921" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12922" class="mo">(</span><span id="MathJax-Span-12923" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12924" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12925" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12926" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-12927" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12928" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12929" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12930" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-12931" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12932" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12933" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12934" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12935" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12936" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12937" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12938" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12939" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12940" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-12941" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-12942" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12943" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12944" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12945" class="mi">S<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.008em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12946" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12947" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12948" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12949" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12950" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12951" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12952" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12953" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12954" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12955" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12956" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12957" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12958" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12959" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12960" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-12961" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12962" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12963" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12964" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12965" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-12966" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-12967" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12968" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12969" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12970" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12971" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12972" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-12973" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12974" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12975" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12976" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-12977" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12978" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12979" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12980" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.844em, 1000em, 2.895em, -0.526em); top: -0.08em; left: 0em;"><span id="MathJax-Span-12981" class="mtd"><span id="MathJax-Span-12982" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-12983" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12984" class="mo">⇒</span><span style="padding-left: 0.313em;" id="MathJax-Span-12985" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12986" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-12987" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-12988" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-12989" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.322em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 3.859em; vertical-align: -2.941em;"></span></span></nobr></span><script id="MathJax-Element-565" type="math/tex">\begin{array}[t]{l}
 \forall start,a_1,a_2,t,t_1,t_2,e,attrs,attrs_1.~
 \\
 \qquad activity(a_2,t_1,t_2,attrs) \wedge wasStartedBy(start,a_2,e,a_1,t,attrs_1)
@@ -2442,7 +2442,7 @@
 \quad\Rightarrow
 t_1 = t
 \end{array}</script></div>
-<div class="constraint" number="29" id="unique-endTime"><div class="ruleTitle"><a class="internalDFN" href="#unique-endTime">Constraint 29 (unique-endTime)</a></div><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-566-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-12990"><span style="display: inline-block; position: relative; width: 517px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 96.1px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-12991"><span class="mtable" id="MathJax-Span-12992" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 511px; height: 0px;"><span style="position: absolute; clip: rect(67.8px 19360px 138.1px -9px); top: -84px; left: 0px;"><span style="display: inline-block; position: relative; width: 511px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 53.9px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-12993"><span class="mrow" id="MathJax-Span-12994"><span class="mi" id="MathJax-Span-12995" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-12996" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-12997" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-12998" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-12999" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13000" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13001" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-13002" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13003" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13004" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13005" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-13006" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13007" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13008" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-13009" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13010" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13011" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-13012" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13013" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13014" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13015" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-13016" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13017" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13018" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-13019" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13020" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-13021" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13022" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13023" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-13024" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-13025" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13026" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-13027" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13028" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13029" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-13030"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13031" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-13032" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13033" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-13034" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -23.2px; left: 0px;"><span class="mtd" id="MathJax-Span-13035"><span class="mrow" id="MathJax-Span-13036"><span class="mspace" id="MathJax-Span-13037" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-13038" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-13039" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-13040" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13041" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-13042" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-13043" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-13044" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13045" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-13046" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-13047"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13048" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-13049" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13050" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13051" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13052" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-13053" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13054" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13055" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13056" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-13057" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13058" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13059" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-13060" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13061" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13062" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-13063" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-13064" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-13065" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-13066" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-13067" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-13068" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-13069" style="font-family: STIXGeneral-Italic;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-13070" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-13071" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-13072" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-13073" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-13074" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-13075" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-13076" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-13077" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-13078" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-13079" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-13080" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13081" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13082" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-13083" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13084" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13085" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-13086" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13087" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13088" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-13089" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13090" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13091" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-13092" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13093" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-13094" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13095" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13096" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-13097"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13098" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-13099" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13100" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(35.3px 19360px 54.9px -9px); top: -0.8px; left: 0px;"><span class="mtd" id="MathJax-Span-13101"><span class="mrow" id="MathJax-Span-13102"><span class="mspace" id="MathJax-Span-13103" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-13104" style="font-family: STIXGeneral-Regular;">⇒</span><span class="msubsup" id="MathJax-Span-13105" style="padding-left: 6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13106" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-13107" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13108" style="font-family: STIXGeneral-Regular; padding-left: 6px;">=</span><span class="mi" id="MathJax-Span-13109" style="font-family: STIXGeneral-Italic; padding-left: 6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 84px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 69.6px; vertical-align: -53.1px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-566">\begin{array}[t]{l}
+<div class="constraint" number="29" id="unique-endTime"><div class="ruleTitle"><a href="#unique-endTime" class="internalDFN">Constraint 29 (unique-endTime)</a></div><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-566-Frame" class="MathJax"><nobr><span id="MathJax-Span-12990" class="math"><span style="display: inline-block; position: relative; width: 470px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 4.91em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-12991" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-12992" class="mtable"><span style="display: inline-block; position: relative; width: 27.103em; height: 0px;"><span style="position: absolute; clip: rect(3.464em, 1000em, 7.138em, -0.526em); top: -4.322em; left: 0em;"><span style="display: inline-block; position: relative; width: 27.103em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.895em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-12993" class="mtd"><span id="MathJax-Span-12994" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-12995" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12996" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12997" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-12998" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-12999" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13000" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13001" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13002" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13003" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13004" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13005" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13006" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13007" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13008" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13009" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13010" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13011" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13012" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13013" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13014" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13015" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13016" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13017" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13018" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-13019" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13020" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13021" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13022" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13023" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13024" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-13025" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13026" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13027" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13028" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13029" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-13030" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13031" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13032" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13033" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-13034" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: -1.287em; left: 0em;"><span id="MathJax-Span-13035" class="mtd"><span id="MathJax-Span-13036" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-13037" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13038" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13039" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13040" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13041" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13042" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13043" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13044" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13045" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-13046" class="mo">(</span><span id="MathJax-Span-13047" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13048" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13049" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13050" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13051" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13052" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13053" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13054" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13055" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13056" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13057" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13058" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13059" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13060" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13061" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13062" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13063" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-13064" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-13065" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-13066" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13067" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13068" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13069" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13070" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13071" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13072" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13073" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13074" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13075" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-13076" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13077" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13078" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13079" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13080" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13081" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13082" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13083" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13084" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13085" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-13086" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13087" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13088" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13089" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13090" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13091" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13092" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13093" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13094" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13095" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13096" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-13097" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13098" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13099" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13100" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.844em, 1000em, 2.895em, -0.526em); top: -0.08em; left: 0em;"><span id="MathJax-Span-13101" class="mtd"><span id="MathJax-Span-13102" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-13103" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13104" class="mo">⇒</span><span style="padding-left: 0.313em;" id="MathJax-Span-13105" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13106" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13107" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-13108" class="mo">=</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-13109" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.322em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 3.859em; vertical-align: -2.941em;"></span></span></nobr></span><script id="MathJax-Element-566" type="math/tex">\begin{array}[t]{l}
 \forall end,a_1,a_2,t,t_1,t_2,e,attrs,attrs_1.~
 \\
 \qquad activity(a_2,t_1,t_2,attrs) \wedge wasEndedBy(end,a_2,e,a_1,t,attrs_1)
@@ -2456,7 +2456,7 @@
 <h4><span class="secno">5.2.2 </span>Ordering constraints</h4>
 
 
-<div class="constraint" number="30" id="start-precedes-end"><div class="ruleTitle"><a class="internalDFN" href="#start-precedes-end">Constraint 30 (start-precedes-end)</a></div><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-567-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-13110"><span style="display: inline-block; position: relative; width: 650px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 98.6px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-13111"><span class="mtable" id="MathJax-Span-13112" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 644px; height: 0px;"><span style="position: absolute; clip: rect(68.8px 19360px 140.8px -9px); top: -85px; left: 0px;"><span style="display: inline-block; position: relative; width: 644px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 53.9px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-13113"><span class="mrow" id="MathJax-Span-13114"><span class="mi" id="MathJax-Span-13115" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-13116" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-13117" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13118" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-13119" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-13120" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-13121" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13122" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mi" id="MathJax-Span-13123" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-13124" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-13125" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13126" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-13127" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13128" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13129" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-13130" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13131" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13132" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13133" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-13134" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13135" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13136" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13137" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-13138" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13139" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13140" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13141" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-13142" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13143" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13144" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13145" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-13146" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13147" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13148" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13149" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-13150" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13151" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13152" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-13153" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13154" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13155" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-13156"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13157" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-13158" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13159" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13160" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-13161" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13162" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13163" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-13164"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13165" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-13166" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13167" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-13168" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -23.2px; left: 0px;"><span class="mtd" id="MathJax-Span-13169"><span class="mrow" id="MathJax-Span-13170"><span class="mspace" id="MathJax-Span-13171" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-13172" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-13173" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-13174" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-13175" style="font-family: STIXGeneral-Italic;">S<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.2px;"></span></span><span class="mi" id="MathJax-Span-13176" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13177" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-13178" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-13179" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13180" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-13181" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-13182" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-13183" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-13184" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-13185" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-13186" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13187" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-13188" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-13189" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-13190" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13191" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-13192" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13193" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13194" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-13195" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13196" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13197" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13198" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-13199" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13200" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13201" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13202" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-13203" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13204" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13205" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-13206" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13207" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13208" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-13209"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13210" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-13211" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13212" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-13213" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-13214" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-13215" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-13216" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-13217" style="font-family: STIXGeneral-Italic;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-13218" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-13219" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-13220" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-13221" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-13222" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-13223" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-13224" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-13225" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-13226" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-13227" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-13228" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13229" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-13230" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13231" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13232" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-13233" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13234" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13235" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13236" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-13237" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13238" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13239" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13240" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-13241" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13242" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13243" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-13244" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13245" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13246" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-13247"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13248" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-13249" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13250" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.8px 19360px 54px -9px); top: 1.8px; left: 0px;"><span class="mtd" id="MathJax-Span-13251"><span class="mrow" id="MathJax-Span-13252"><span class="mspace" id="MathJax-Span-13253" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-13254" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-13255" style="font-family: STIXGeneral-Italic; padding-left: 6px;">s</span><span class="mi" id="MathJax-Span-13256" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13257" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-13258" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-13259" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-13260" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⪯</span><span class="mi" id="MathJax-Span-13261" style="font-family: STIXGeneral-Italic; padding-left: 6px;">e</span><span class="mi" id="MathJax-Span-13262" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-13263" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 85px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 72.1px; vertical-align: -55.6px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-567">\begin{array}[t]{l}
+<div class="constraint" number="30" id="start-precedes-end"><div class="ruleTitle"><a href="#start-precedes-end" class="internalDFN">Constraint 30 (start-precedes-end)</a></div><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-567-Frame" class="MathJax"><nobr><span id="MathJax-Span-13110" class="math"><span style="display: inline-block; position: relative; width: 588px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.042em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-13111" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-13112" class="mtable"><span style="display: inline-block; position: relative; width: 33.995em; height: 0px;"><span style="position: absolute; clip: rect(3.523em, 1000em, 7.281em, -0.526em); top: -4.381em; left: 0em;"><span style="display: inline-block; position: relative; width: 33.995em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.895em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-13113" class="mtd"><span id="MathJax-Span-13114" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-13115" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13116" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13117" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13118" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13119" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13120" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13121" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13122" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13123" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13124" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13125" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13126" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-13127" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13128" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13129" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13130" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13131" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13132" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13133" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13134" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13135" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13136" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13137" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13138" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13139" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13140" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13141" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13142" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13143" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13144" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13145" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13146" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13147" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13148" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13149" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13150" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13151" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13152" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13153" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13154" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13155" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-13156" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13157" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13158" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13159" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13160" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13161" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13162" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13163" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-13164" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13165" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13166" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13167" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-13168" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: -1.287em; left: 0em;"><span id="MathJax-Span-13169" class="mtd"><span id="MathJax-Span-13170" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-13171" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13172" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13173" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13174" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13175" class="mi">S<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.008em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13176" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13177" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13178" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13179" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13180" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13181" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13182" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13183" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-13184" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13185" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13186" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13187" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13188" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13189" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13190" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13191" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-13192" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13193" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13194" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13195" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13196" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13197" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13198" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13199" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13200" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13201" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13202" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13203" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13204" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13205" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13206" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13207" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13208" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-13209" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13210" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13211" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13212" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-13213" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-13214" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13215" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13216" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13217" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13218" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13219" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13220" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13221" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13222" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13223" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-13224" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13225" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13226" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13227" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13228" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13229" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-13230" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13231" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13232" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13233" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13234" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13235" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13236" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13237" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13238" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13239" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13240" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13241" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13242" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13243" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13244" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13245" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13246" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-13247" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13248" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13249" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13250" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.848em, -0.526em); top: 0.052em; left: 0em;"><span id="MathJax-Span-13251" class="mtd"><span id="MathJax-Span-13252" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-13253" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13254" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-13255" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13256" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13257" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13258" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13259" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-13260" class="mo">⪯</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-13261" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13262" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13263" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.381em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 4.001em; vertical-align: -3.082em;"></span></span></nobr></span><script id="MathJax-Element-567" type="math/tex">\begin{array}[t]{l}
 \forall start,end,a,e_1,e_2,a_1,a_2,t_1,t_2,attrs_1,attrs_2.~
 \\
 \qquad wasStartedBy(start,a,e_1,a_1,t_1,attrs_1) \wedge wasEndedBy(end,a,e_2,a_2,t_2,attrs_2)
@@ -2464,7 +2464,7 @@
 \quad\Rightarrow
 start \preceq end
 \end{array}</script></div>
-<div class="constraint" number="31" id="start-start-ordering"><div class="ruleTitle"><a class="internalDFN" href="#start-start-ordering">Constraint 31 (start-start-ordering)</a></div><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-568-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-13264"><span style="display: inline-block; position: relative; width: 679px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 97.2px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-13265"><span class="mtable" id="MathJax-Span-13266" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 673px; height: 0px;"><span style="position: absolute; clip: rect(68.2px 19360px 139.2px -9px); top: -84px; left: 0px;"><span style="display: inline-block; position: relative; width: 673px; height: 0px;"><span style="position: absolute; clip: rect(32.2px 19360px 53.9px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-13267"><span class="mrow" id="MathJax-Span-13268"><span class="mi" id="MathJax-Span-13269" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-13270" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-13271" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13272" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-13273" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-13274"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13275" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-13276" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13277" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13278" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">s</span><span class="mi" id="MathJax-Span-13279" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13280" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-13281" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-13282"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13283" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-13284" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13285" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13286" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-13287" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13288" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13289" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-13290" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13291" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13292" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13293" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-13294" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13295" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13296" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13297" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-13298" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13299" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13300" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13301" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-13302" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13303" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13304" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13305" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-13306" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13307" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13308" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13309" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-13310" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13311" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13312" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-13313" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13314" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13315" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-13316"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13317" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-13318" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13319" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13320" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-13321" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13322" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13323" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-13324"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13325" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-13326" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13327" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-13328" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -23.2px; left: 0px;"><span class="mtd" id="MathJax-Span-13329"><span class="mrow" id="MathJax-Span-13330"><span class="mspace" id="MathJax-Span-13331" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-13332" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-13333" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-13334" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-13335" style="font-family: STIXGeneral-Italic;">S<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.2px;"></span></span><span class="mi" id="MathJax-Span-13336" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13337" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-13338" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-13339" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13340" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-13341" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-13342" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-13343" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-13344" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-13345" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-13346" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13347" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-13348" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-13349"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13350" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-13351" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13352" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13353" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-13354" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13355" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13356" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-13357" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13358" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13359" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13360" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-13361" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13362" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13363" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13364" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-13365" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13366" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13367" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-13368" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13369" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13370" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-13371"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13372" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-13373" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13374" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-13375" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-13376" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-13377" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-13378" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-13379" style="font-family: STIXGeneral-Italic;">S<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.2px;"></span></span><span class="mi" id="MathJax-Span-13380" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13381" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-13382" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-13383" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13384" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-13385" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-13386" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-13387" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-13388" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-13389" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-13390" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13391" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-13392" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-13393"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13394" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-13395" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13396" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13397" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-13398" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13399" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13400" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-13401" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13402" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13403" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13404" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-13405" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13406" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13407" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13408" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-13409" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13410" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13411" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-13412" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13413" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13414" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-13415"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13416" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-13417" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13418" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(34.2px 19360px 54.9px -9px); top: 0.3px; left: 0px;"><span class="mtd" id="MathJax-Span-13419"><span class="mrow" id="MathJax-Span-13420"><span class="mspace" id="MathJax-Span-13421" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-13422" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-13423" style="font-family: STIXGeneral-Italic; padding-left: 6px;">s</span><span class="mi" id="MathJax-Span-13424" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13425" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-13426" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-13427"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13428" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-13429" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13430" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⪯</span><span class="mi" id="MathJax-Span-13431" style="font-family: STIXGeneral-Italic; padding-left: 6px;">s</span><span class="mi" id="MathJax-Span-13432" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13433" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-13434" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-13435"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13436" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-13437" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 84px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 70.7px; vertical-align: -54.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-568">\begin{array}[t]{l}
+<div class="constraint" number="31" id="start-start-ordering"><div class="ruleTitle"><a href="#start-start-ordering" class="internalDFN">Constraint 31 (start-start-ordering)</a></div><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-568-Frame" class="MathJax"><nobr><span id="MathJax-Span-13264" class="math"><span style="display: inline-block; position: relative; width: 615px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 4.968em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-13265" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-13266" class="mtable"><span style="display: inline-block; position: relative; width: 35.572em; height: 0px;"><span style="position: absolute; clip: rect(3.544em, 1000em, 7.254em, -0.526em); top: -4.381em; left: 0em;"><span style="display: inline-block; position: relative; width: 35.572em; height: 0px;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.895em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-13267" class="mtd"><span id="MathJax-Span-13268" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-13269" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13270" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13271" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13272" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13273" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-13274" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13275" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13276" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13277" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13278" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13279" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13280" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13281" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-13282" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13283" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13284" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13285" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13286" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-13287" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13288" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13289" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13290" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13291" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13292" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13293" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13294" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13295" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13296" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13297" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13298" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13299" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13300" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13301" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13302" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13303" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13304" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13305" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13306" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13307" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13308" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13309" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13310" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13311" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13312" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13313" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13314" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13315" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-13316" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13317" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13318" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13319" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13320" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13321" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13322" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13323" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-13324" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13325" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13326" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13327" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-13328" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: -1.287em; left: 0em;"><span id="MathJax-Span-13329" class="mtd"><span id="MathJax-Span-13330" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-13331" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13332" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13333" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13334" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13335" class="mi">S<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.008em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13336" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13337" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13338" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13339" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13340" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13341" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13342" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13343" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-13344" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13345" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13346" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13347" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13348" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-13349" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13350" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13351" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13352" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13353" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-13354" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13355" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13356" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13357" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13358" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13359" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13360" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13361" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13362" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13363" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13364" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13365" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13366" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13367" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13368" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13369" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13370" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-13371" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13372" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13373" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13374" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-13375" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-13376" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13377" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13378" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13379" class="mi">S<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.008em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13380" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13381" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13382" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13383" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13384" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13385" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13386" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13387" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-13388" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13389" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13390" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13391" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13392" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-13393" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13394" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13395" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13396" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13397" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-13398" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13399" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13400" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13401" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13402" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13403" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13404" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13405" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13406" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13407" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13408" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13409" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13410" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13411" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13412" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13413" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13414" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-13415" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13416" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13417" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13418" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.786em, 1000em, 2.895em, -0.526em); top: -0.022em; left: 0em;"><span id="MathJax-Span-13419" class="mtd"><span id="MathJax-Span-13420" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-13421" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13422" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-13423" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13424" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13425" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13426" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-13427" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13428" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13429" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-13430" class="mo">⪯</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-13431" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13432" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13433" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13434" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-13435" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13436" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13437" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.381em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 3.921em; vertical-align: -3.003em;"></span></span></nobr></span><script id="MathJax-Element-568" type="math/tex">\begin{array}[t]{l}
 \forall start_1,start_2,a,e_1,e_2,a_1,a_2,t_1,t_2,attrs_1,attrs_2.~
 \\
 \qquad wasStartedBy(start_1,a,e_1,a_1,t_1,attrs_1) \wedge wasStartedBy(start_2,a,e_2,a_2,t_2,attrs_2)
@@ -2472,7 +2472,7 @@
 \quad\Rightarrow
 start_1 \preceq start_2
 \end{array}</script></div>
-<div class="constraint" number="32" id="end-end-ordering"><div class="ruleTitle"><a class="internalDFN" href="#end-end-ordering">Constraint 32 (end-end-ordering)</a></div><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-569-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-13438"><span style="display: inline-block; position: relative; width: 655px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 98.6px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-13439"><span class="mtable" id="MathJax-Span-13440" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 649px; height: 0px;"><span style="position: absolute; clip: rect(69.8px 19360px 142.7px -9px); top: -86px; left: 0px;"><span style="display: inline-block; position: relative; width: 649px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 53.9px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-13441"><span class="mrow" id="MathJax-Span-13442"><span class="mi" id="MathJax-Span-13443" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-13444" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-13445" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-13446"><span style="display: inline-block; position: relative; width: 18.9px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13447" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10.5px;"><span class="mn" id="MathJax-Span-13448" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13449" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13450" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mi" id="MathJax-Span-13451" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-13452"><span style="display: inline-block; position: relative; width: 18.9px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13453" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10.5px;"><span class="mn" id="MathJax-Span-13454" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13455" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13456" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-13457" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13458" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13459" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-13460" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13461" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13462" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13463" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-13464" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13465" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13466" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13467" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-13468" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13469" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13470" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13471" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-13472" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13473" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13474" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13475" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-13476" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13477" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13478" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13479" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-13480" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13481" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13482" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-13483" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13484" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13485" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-13486"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13487" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-13488" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13489" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13490" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-13491" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13492" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13493" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-13494"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13495" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-13496" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13497" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-13498" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -23.2px; left: 0px;"><span class="mtd" id="MathJax-Span-13499"><span class="mrow" id="MathJax-Span-13500"><span class="mspace" id="MathJax-Span-13501" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-13502" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-13503" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-13504" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-13505" style="font-family: STIXGeneral-Italic;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-13506" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-13507" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-13508" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-13509" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-13510" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-13511" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-13512" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-13513" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-13514" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-13515"><span style="display: inline-block; position: relative; width: 18.9px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13516" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10.5px;"><span class="mn" id="MathJax-Span-13517" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13518" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13519" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-13520" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13521" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13522" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-13523" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13524" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13525" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13526" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-13527" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13528" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13529" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13530" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-13531" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13532" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13533" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-13534" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13535" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13536" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-13537"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13538" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-13539" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13540" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-13541" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-13542" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-13543" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-13544" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-13545" style="font-family: STIXGeneral-Italic;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-13546" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-13547" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-13548" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-13549" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-13550" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-13551" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-13552" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-13553" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-13554" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-13555"><span style="display: inline-block; position: relative; width: 18.9px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13556" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10.5px;"><span class="mn" id="MathJax-Span-13557" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13558" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13559" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-13560" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13561" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13562" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-13563" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13564" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13565" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13566" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-13567" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13568" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13569" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13570" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-13571" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13572" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13573" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-13574" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13575" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13576" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-13577"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13578" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-13579" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13580" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.8px 19360px 54.9px -9px); top: 1.8px; left: 0px;"><span class="mtd" id="MathJax-Span-13581"><span class="mrow" id="MathJax-Span-13582"><span class="mspace" id="MathJax-Span-13583" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-13584" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-13585" style="font-family: STIXGeneral-Italic; padding-left: 6px;">e</span><span class="mi" id="MathJax-Span-13586" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-13587"><span style="display: inline-block; position: relative; width: 18.9px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13588" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10.5px;"><span class="mn" id="MathJax-Span-13589" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13590" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⪯</span><span class="mi" id="MathJax-Span-13591" style="font-family: STIXGeneral-Italic; padding-left: 6px;">e</span><span class="mi" id="MathJax-Span-13592" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-13593"><span style="display: inline-block; position: relative; width: 18.9px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13594" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10.5px;"><span class="mn" id="MathJax-Span-13595" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 86px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 72.1px; vertical-align: -55.6px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-569">\begin{array}[t]{l}
+<div class="constraint" number="32" id="end-end-ordering"><div class="ruleTitle"><a href="#end-end-ordering" class="internalDFN">Constraint 32 (end-end-ordering)</a></div><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-569-Frame" class="MathJax"><nobr><span id="MathJax-Span-13438" class="math"><span style="display: inline-block; position: relative; width: 589px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.042em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-13439" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-13440" class="mtable"><span style="display: inline-block; position: relative; width: 34.054em; height: 0px;"><span style="position: absolute; clip: rect(3.581em, 1000em, 7.386em, -0.526em); top: -4.439em; left: 0em;"><span style="display: inline-block; position: relative; width: 34.054em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.895em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-13441" class="mtd"><span id="MathJax-Span-13442" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-13443" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13444" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13445" class="mi">n</span><span id="MathJax-Span-13446" class="msubsup"><span style="display: inline-block; position: relative; width: 0.924em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.511em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13447" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.499em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13448" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13449" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13450" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13451" class="mi">n</span><span id="MathJax-Span-13452" class="msubsup"><span style="display: inline-block; position: relative; width: 0.924em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.511em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13453" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.499em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13454" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13455" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13456" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-13457" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13458" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13459" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13460" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13461" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13462" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13463" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13464" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13465" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13466" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13467" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13468" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13469" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13470" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13471" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13472" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13473" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13474" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13475" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13476" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13477" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13478" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13479" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13480" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13481" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13482" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13483" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13484" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13485" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-13486" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13487" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13488" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13489" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13490" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13491" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13492" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13493" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-13494" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13495" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13496" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13497" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-13498" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: -1.287em; left: 0em;"><span id="MathJax-Span-13499" class="mtd"><span id="MathJax-Span-13500" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-13501" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13502" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13503" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13504" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13505" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13506" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13507" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13508" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13509" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13510" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13511" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-13512" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13513" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13514" class="mi">n</span><span id="MathJax-Span-13515" class="msubsup"><span style="display: inline-block; position: relative; width: 0.924em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.511em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13516" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.499em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13517" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13518" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13519" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-13520" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13521" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13522" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13523" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13524" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13525" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13526" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13527" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13528" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13529" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13530" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13531" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13532" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13533" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13534" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13535" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13536" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-13537" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13538" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13539" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13540" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-13541" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-13542" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13543" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13544" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13545" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13546" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13547" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13548" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13549" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13550" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13551" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-13552" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13553" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13554" class="mi">n</span><span id="MathJax-Span-13555" class="msubsup"><span style="display: inline-block; position: relative; width: 0.924em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.511em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13556" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.499em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13557" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13558" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13559" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-13560" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13561" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13562" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13563" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13564" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13565" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13566" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13567" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13568" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13569" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13570" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13571" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13572" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13573" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13574" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13575" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13576" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-13577" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13578" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13579" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13580" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.895em, -0.526em); top: 0.052em; left: 0em;"><span id="MathJax-Span-13581" class="mtd"><span id="MathJax-Span-13582" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-13583" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13584" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-13585" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13586" class="mi">n</span><span id="MathJax-Span-13587" class="msubsup"><span style="display: inline-block; position: relative; width: 0.924em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.511em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13588" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.499em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13589" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-13590" class="mo">⪯</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-13591" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13592" class="mi">n</span><span id="MathJax-Span-13593" class="msubsup"><span style="display: inline-block; position: relative; width: 0.924em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.511em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13594" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.499em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13595" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.439em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 4.001em; vertical-align: -3.082em;"></span></span></nobr></span><script id="MathJax-Element-569" type="math/tex">\begin{array}[t]{l}
 \forall end_1,end_2,a,e_1,e_2,a_1,a_2,t_1,t_2,attrs_1,attrs_2.~
 \\
 \qquad wasEndedBy(end_1,a,e_1,a_1,t_1,attrs_1) \wedge wasEndedBy(end_2,a,e_2,a_2,t_2,attrs_2)
@@ -2480,14 +2480,14 @@
 \quad\Rightarrow
 end_1 \preceq end_2
 \end{array}</script></div>
-<div class="constraint" number="33" id="usage-within-activity"><div class="ruleTitle"><a class="internalDFN" href="#usage-within-activity">Constraint 33 (usage-within-activity)</a></div><ol><li><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-570-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-13596"><span style="display: inline-block; position: relative; width: 554px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 97.2px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-13597"><span class="mtable" id="MathJax-Span-13598" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 548px; height: 0px;"><span style="position: absolute; clip: rect(67.2px 19360px 137.3px -9px); top: -83px; left: 0px;"><span style="display: inline-block; position: relative; width: 548px; height: 0px;"><span style="position: absolute; clip: rect(32.2px 19360px 53.9px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-13599"><span class="mrow" id="MathJax-Span-13600"><span class="mi" id="MathJax-Span-13601" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-13602" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-13603" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13604" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-13605" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-13606" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-13607" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13608" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">u</span><span class="mi" id="MathJax-Span-13609" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-13610" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-13611" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13612" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-13613" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13614" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13615" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-13616" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13617" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13618" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13619" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-13620" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13621" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13622" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13623" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-13624" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13625" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13626" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13627" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-13628" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13629" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13630" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13631" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-13632" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13633" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13634" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-13635" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13636" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13637" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-13638"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13639" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-13640" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13641" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13642" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-13643" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13644" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13645" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-13646"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13647" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-13648" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13649" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-13650" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -23.2px; left: 0px;"><span class="mtd" id="MathJax-Span-13651"><span class="mrow" id="MathJax-Span-13652"><span class="mspace" id="MathJax-Span-13653" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-13654" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-13655" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-13656" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-13657" style="font-family: STIXGeneral-Italic;">S<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.2px;"></span></span><span class="mi" id="MathJax-Span-13658" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13659" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-13660" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-13661" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13662" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-13663" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-13664" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-13665" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-13666" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-13667" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-13668" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13669" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-13670" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-13671" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-13672" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13673" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-13674" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13675" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13676" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-13677" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13678" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13679" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13680" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-13681" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13682" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13683" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13684" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-13685" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13686" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13687" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-13688" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13689" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13690" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-13691"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13692" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-13693" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13694" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-13695" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-13696" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">u</span><span class="mi" id="MathJax-Span-13697" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-13698" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-13699" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-13700" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-13701" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-13702" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-13703" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-13704" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13705" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-13706" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13707" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13708" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-13709" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13710" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13711" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13712" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-13713" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13714" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13715" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-13716" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13717" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13718" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-13719"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13720" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-13721" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13722" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(34.2px 19360px 54px -9px); top: 0.3px; left: 0px;"><span class="mtd" id="MathJax-Span-13723"><span class="mrow" id="MathJax-Span-13724"><span class="mspace" id="MathJax-Span-13725" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-13726" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-13727" style="font-family: STIXGeneral-Italic; padding-left: 6px;">s</span><span class="mi" id="MathJax-Span-13728" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13729" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-13730" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-13731" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-13732" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⪯</span><span class="mi" id="MathJax-Span-13733" style="font-family: STIXGeneral-Italic; padding-left: 6px;">u</span><span class="mi" id="MathJax-Span-13734" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-13735" style="font-family: STIXGeneral-Italic;">e</span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 83px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 70.7px; vertical-align: -54.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-570">\begin{array}[t]{l}
+<div class="constraint" number="33" id="usage-within-activity"><div class="ruleTitle"><a href="#usage-within-activity" class="internalDFN">Constraint 33 (usage-within-activity)</a></div><ol><li><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-570-Frame" class="MathJax"><nobr><span id="MathJax-Span-13596" class="math"><span style="display: inline-block; position: relative; width: 505px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 4.968em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-13597" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-13598" class="mtable"><span style="display: inline-block; position: relative; width: 29.147em; height: 0px;"><span style="position: absolute; clip: rect(3.485em, 1000em, 7.149em, -0.526em); top: -4.322em; left: 0em;"><span style="display: inline-block; position: relative; width: 29.147em; height: 0px;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.895em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-13599" class="mtd"><span id="MathJax-Span-13600" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-13601" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13602" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13603" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13604" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13605" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13606" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13607" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13608" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13609" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13610" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-13611" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13612" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-13613" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13614" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13615" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13616" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13617" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13618" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13619" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13620" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13621" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13622" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13623" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13624" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13625" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13626" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13627" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13628" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13629" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13630" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13631" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13632" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13633" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13634" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13635" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13636" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13637" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-13638" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13639" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13640" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13641" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13642" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13643" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13644" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13645" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-13646" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13647" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13648" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13649" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-13650" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: -1.287em; left: 0em;"><span id="MathJax-Span-13651" class="mtd"><span id="MathJax-Span-13652" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-13653" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13654" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13655" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13656" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13657" class="mi">S<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.008em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13658" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13659" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13660" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13661" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13662" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13663" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13664" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13665" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-13666" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13667" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13668" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13669" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13670" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13671" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13672" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13673" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-13674" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13675" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13676" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13677" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13678" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13679" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13680" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13681" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13682" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13683" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13684" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13685" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13686" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13687" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13688" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13689" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13690" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-13691" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13692" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13693" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13694" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-13695" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-13696" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13697" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13698" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13699" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13700" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13701" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13702" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13703" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-13704" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13705" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-13706" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13707" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13708" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13709" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13710" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13711" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13712" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13713" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13714" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13715" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13716" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13717" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13718" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-13719" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13720" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13721" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13722" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.786em, 1000em, 2.848em, -0.526em); top: -0.022em; left: 0em;"><span id="MathJax-Span-13723" class="mtd"><span id="MathJax-Span-13724" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-13725" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13726" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-13727" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13728" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13729" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13730" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13731" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-13732" class="mo">⪯</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-13733" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13734" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13735" class="mi">e</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.322em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 3.921em; vertical-align: -3.003em;"></span></span></nobr></span><script id="MathJax-Element-570" type="math/tex">\begin{array}[t]{l}
 \forall start,use,a,e_1,e_2,a_1,t_1,t_2,attrs_1,attrs_2.~
 \\
 \qquad wasStartedBy(start,a,e_1,a_1,t_1,attrs_1) \wedge used(use,a,e_2,t_2,attrs_2)
 \\
 \quad\Rightarrow
 start \preceq use
-\end{array}</script></li><li><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-571-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-13736"><span style="display: inline-block; position: relative; width: 542px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 98.6px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-13737"><span class="mtable" id="MathJax-Span-13738" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 536px; height: 0px;"><span style="position: absolute; clip: rect(68.8px 19360px 140.8px -9px); top: -85px; left: 0px;"><span style="display: inline-block; position: relative; width: 536px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 53.9px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-13739"><span class="mrow" id="MathJax-Span-13740"><span class="mi" id="MathJax-Span-13741" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-13742" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-13743" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-13744" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-13745" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13746" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mi" id="MathJax-Span-13747" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-13748" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-13749" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13750" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-13751" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13752" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13753" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-13754" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13755" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13756" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13757" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-13758" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13759" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13760" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13761" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-13762" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13763" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13764" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13765" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-13766" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13767" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13768" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13769" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-13770" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13771" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13772" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-13773" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13774" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13775" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-13776"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13777" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-13778" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13779" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13780" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-13781" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13782" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13783" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-13784"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13785" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-13786" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13787" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-13788" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -23.2px; left: 0px;"><span class="mtd" id="MathJax-Span-13789"><span class="mrow" id="MathJax-Span-13790"><span class="mspace" id="MathJax-Span-13791" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-13792" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-13793" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-13794" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-13795" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-13796" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-13797" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-13798" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-13799" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-13800" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13801" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-13802" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13803" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13804" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-13805" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13806" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13807" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13808" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-13809" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13810" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13811" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-13812" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13813" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13814" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-13815"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13816" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-13817" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13818" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-13819" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-13820" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-13821" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-13822" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-13823" style="font-family: STIXGeneral-Italic;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-13824" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-13825" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-13826" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-13827" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-13828" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-13829" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-13830" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-13831" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-13832" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-13833" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-13834" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13835" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-13836" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13837" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13838" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-13839" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13840" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13841" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13842" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-13843" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13844" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13845" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13846" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-13847" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13848" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13849" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-13850" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13851" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13852" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-13853"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13854" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-13855" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13856" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.8px 19360px 54px -9px); top: 1.8px; left: 0px;"><span class="mtd" id="MathJax-Span-13857"><span class="mrow" id="MathJax-Span-13858"><span class="mspace" id="MathJax-Span-13859" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-13860" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-13861" style="font-family: STIXGeneral-Italic; padding-left: 6px;">u</span><span class="mi" id="MathJax-Span-13862" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-13863" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-13864" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⪯</span><span class="mi" id="MathJax-Span-13865" style="font-family: STIXGeneral-Italic; padding-left: 6px;">e</span><span class="mi" id="MathJax-Span-13866" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-13867" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 85px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 72.1px; vertical-align: -55.6px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-571">\begin{array}[t]{l}
+\end{array}</script></li><li><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-571-Frame" class="MathJax"><nobr><span id="MathJax-Span-13736" class="math"><span style="display: inline-block; position: relative; width: 491px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.042em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-13737" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-13738" class="mtable"><span style="display: inline-block; position: relative; width: 28.329em; height: 0px;"><span style="position: absolute; clip: rect(3.523em, 1000em, 7.281em, -0.526em); top: -4.381em; left: 0em;"><span style="display: inline-block; position: relative; width: 28.329em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.895em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-13739" class="mtd"><span id="MathJax-Span-13740" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-13741" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13742" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13743" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13744" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-13745" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13746" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13747" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13748" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13749" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13750" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-13751" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13752" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13753" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13754" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13755" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13756" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13757" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13758" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13759" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13760" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13761" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13762" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13763" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13764" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13765" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13766" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13767" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13768" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13769" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13770" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13771" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13772" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13773" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13774" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13775" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-13776" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13777" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13778" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13779" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13780" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13781" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13782" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13783" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-13784" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13785" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13786" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13787" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-13788" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: -1.287em; left: 0em;"><span id="MathJax-Span-13789" class="mtd"><span id="MathJax-Span-13790" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-13791" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13792" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13793" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13794" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13795" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13796" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13797" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13798" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13799" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-13800" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13801" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-13802" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13803" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13804" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13805" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13806" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13807" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13808" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13809" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13810" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13811" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13812" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13813" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13814" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-13815" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13816" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13817" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13818" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-13819" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-13820" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13821" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13822" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13823" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13824" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13825" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13826" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13827" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13828" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13829" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-13830" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13831" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13832" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13833" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13834" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13835" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-13836" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13837" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13838" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13839" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13840" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13841" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13842" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13843" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13844" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13845" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13846" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13847" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13848" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13849" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13850" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13851" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13852" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-13853" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13854" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13855" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13856" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.848em, -0.526em); top: 0.052em; left: 0em;"><span id="MathJax-Span-13857" class="mtd"><span id="MathJax-Span-13858" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-13859" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13860" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-13861" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13862" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13863" class="mi">e</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-13864" class="mo">⪯</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-13865" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13866" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13867" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.381em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 4.001em; vertical-align: -3.082em;"></span></span></nobr></span><script id="MathJax-Element-571" type="math/tex">\begin{array}[t]{l}
 \forall use,end,a,e_1,e_2,a_2,t_1,t_2,attrs_1,attrs_2.~
 \\
 \qquad used(use,a,e_1,t_1,attrs_1) \wedge wasEndedBy(end,a,e_2,a_2,t_2,attrs_2)
@@ -2495,14 +2495,14 @@
 \quad\Rightarrow
 use \preceq end
 \end{array}</script></li></ol></div>
-<div class="constraint" number="34" id="generation-within-activity"><div class="ruleTitle"><a class="internalDFN" href="#generation-within-activity">Constraint 34 (generation-within-activity)</a></div><ol><li><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-572-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-13868"><span style="display: inline-block; position: relative; width: 653px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 98.4px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-13869"><span class="mtable" id="MathJax-Span-13870" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 647px; height: 0px;"><span style="position: absolute; clip: rect(71.2px 19360px 144.4px -9px); top: -87px; left: 0px;"><span style="display: inline-block; position: relative; width: 647px; height: 0px;"><span style="position: absolute; clip: rect(32.2px 19360px 55px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-13871"><span class="mrow" id="MathJax-Span-13872"><span class="mi" id="MathJax-Span-13873" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-13874" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-13875" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13876" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-13877" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-13878" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-13879" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13880" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">g</span><span class="mi" id="MathJax-Span-13881" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-13882" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-13883" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13884" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13885" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-13886" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13887" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13888" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13889" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-13890" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13891" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13892" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-13893" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13894" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13895" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-13896" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13897" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13898" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13899" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-13900" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13901" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13902" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13903" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-13904" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13905" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13906" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-13907" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13908" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13909" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-13910"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13911" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-13912" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13913" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13914" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-13915" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13916" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13917" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-13918"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13919" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-13920" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13921" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-13922" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -22.1px; left: 0px;"><span class="mtd" id="MathJax-Span-13923"><span class="mrow" id="MathJax-Span-13924"><span class="mspace" id="MathJax-Span-13925" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-13926" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-13927" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-13928" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-13929" style="font-family: STIXGeneral-Italic;">S<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.2px;"></span></span><span class="mi" id="MathJax-Span-13930" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13931" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-13932" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-13933" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13934" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-13935" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-13936" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-13937" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-13938" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-13939" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-13940" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13941" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-13942" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-13943" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-13944" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13945" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-13946" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13947" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13948" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-13949" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13950" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13951" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13952" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-13953" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13954" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13955" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13956" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-13957" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13958" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13959" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-13960" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13961" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13962" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-13963"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13964" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-13965" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13966" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-13967" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-13968" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-13969" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-13970" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-13971" style="font-family: STIXGeneral-Italic;">G</span><span class="mi" id="MathJax-Span-13972" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-13973" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-13974" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-13975" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-13976" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-13977" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13978" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-13979" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-13980" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-13981" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-13982" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-13983" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-13984" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-13985" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-13986" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13987" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13988" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-13989" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13990" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13991" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-13992" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-13993" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-13994" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-13995" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-13996" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-13997" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-13998" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-13999" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14000" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-14001"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14002" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-14003" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14004" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(34.2px 19360px 56px -9px); top: 1.4px; left: 0px;"><span class="mtd" id="MathJax-Span-14005"><span class="mrow" id="MathJax-Span-14006"><span class="mspace" id="MathJax-Span-14007" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-14008" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-14009" style="font-family: STIXGeneral-Italic; padding-left: 6px;">s</span><span class="mi" id="MathJax-Span-14010" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14011" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-14012" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-14013" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-14014" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⪯</span><span class="mi" id="MathJax-Span-14015" style="font-family: STIXGeneral-Italic; padding-left: 6px;">g</span><span class="mi" id="MathJax-Span-14016" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-14017" style="font-family: STIXGeneral-Italic;">n</span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 87px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 71.9px; vertical-align: -55.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-572">\begin{array}[t]{l}
+<div class="constraint" number="34" id="generation-within-activity"><div class="ruleTitle"><a href="#generation-within-activity" class="internalDFN">Constraint 34 (generation-within-activity)</a></div><ol><li><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-572-Frame" class="MathJax"><nobr><span id="MathJax-Span-13868" class="math"><span style="display: inline-block; position: relative; width: 592px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.03em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-13869" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-13870" class="mtable"><span style="display: inline-block; position: relative; width: 34.229em; height: 0px;"><span style="position: absolute; clip: rect(3.66em, 1000em, 7.483em, -0.526em); top: -4.498em; left: 0em;"><span style="display: inline-block; position: relative; width: 34.229em; height: 0px;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.951em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-13871" class="mtd"><span id="MathJax-Span-13872" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-13873" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13874" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13875" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13876" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13877" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13878" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13879" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13880" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13881" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13882" class="mi">n</span><span style="font-family: STIXGeneral;" id="MathJax-Span-13883" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13884" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13885" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13886" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13887" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13888" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13889" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13890" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13891" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13892" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-13893" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13894" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13895" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13896" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13897" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13898" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13899" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13900" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13901" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13902" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13903" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13904" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13905" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13906" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13907" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13908" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13909" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-13910" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13911" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13912" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13913" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13914" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13915" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13916" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13917" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-13918" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13919" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13920" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13921" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-13922" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: -1.231em; left: 0em;"><span id="MathJax-Span-13923" class="mtd"><span id="MathJax-Span-13924" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-13925" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13926" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13927" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13928" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13929" class="mi">S<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.008em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13930" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13931" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13932" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13933" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13934" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13935" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13936" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13937" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-13938" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13939" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13940" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13941" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13942" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13943" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13944" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13945" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-13946" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13947" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13948" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13949" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13950" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13951" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13952" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13953" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13954" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13955" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13956" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13957" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13958" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13959" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13960" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13961" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13962" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-13963" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13964" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13965" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13966" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-13967" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-13968" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13969" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13970" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13971" class="mi">G</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13972" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13973" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13974" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13975" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13976" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13977" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13978" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13979" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13980" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13981" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-13982" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13983" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13984" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13985" class="mi">n</span><span style="font-family: STIXGeneral;" id="MathJax-Span-13986" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13987" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13988" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13989" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13990" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13991" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-13992" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-13993" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13994" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-13995" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-13996" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-13997" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13998" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-13999" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14000" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-14001" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14002" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14003" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14004" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.786em, 1000em, 2.951em, -0.526em); top: 0.034em; left: 0em;"><span id="MathJax-Span-14005" class="mtd"><span id="MathJax-Span-14006" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-14007" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14008" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-14009" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14010" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14011" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14012" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14013" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-14014" class="mo">⪯</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-14015" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14016" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14017" class="mi">n</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.498em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 3.988em; vertical-align: -3.069em;"></span></span></nobr></span><script id="MathJax-Element-572" type="math/tex">\begin{array}[t]{l}
 \forall start,gen,e_1,e_2,a,a_1,t_1,t_2,attrs_1,attrs_2.~
 \\
 \qquad wasStartedBy(start,a,e_1,a_1,t_1,attrs_1) \wedge wasGeneratedBy(gen,e_2,a,t_2,attrs_2)
 \\
 \quad\Rightarrow
 start \preceq gen
-\end{array}</script></li><li><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-573-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-14018"><span style="display: inline-block; position: relative; width: 615px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 99.8px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-14019"><span class="mtable" id="MathJax-Span-14020" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 609px; height: 0px;"><span style="position: absolute; clip: rect(71.8px 19360px 146.8px -9px); top: -88px; left: 0px;"><span style="display: inline-block; position: relative; width: 609px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-14021"><span class="mrow" id="MathJax-Span-14022"><span class="mi" id="MathJax-Span-14023" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-14024" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-14025" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-14026" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-14027" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14028" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mi" id="MathJax-Span-14029" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-14030" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-14031" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14032" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-14033" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14034" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14035" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-14036" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14037" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14038" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-14039" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14040" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14041" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-14042" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14043" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14044" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-14045" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14046" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14047" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-14048" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14049" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14050" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-14051" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14052" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14053" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-14054" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-14055" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14056" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-14057" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14058" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14059" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-14060"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14061" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-14062" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14063" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-14064" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -22.1px; left: 0px;"><span class="mtd" id="MathJax-Span-14065"><span class="mrow" id="MathJax-Span-14066"><span class="mspace" id="MathJax-Span-14067" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-14068" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-14069" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-14070" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-14071" style="font-family: STIXGeneral-Italic;">G</span><span class="mi" id="MathJax-Span-14072" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-14073" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-14074" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-14075" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-14076" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-14077" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14078" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-14079" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-14080" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-14081" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-14082" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-14083" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-14084" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-14085" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-14086" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14087" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-14088" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14089" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-14090" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14091" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-14092" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14093" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-14094" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14095" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14096" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-14097" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-14098" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-14099" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-14100" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-14101" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-14102" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-14103" style="font-family: STIXGeneral-Italic;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-14104" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-14105" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-14106" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-14107" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-14108" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-14109" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-14110" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-14111" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-14112" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-14113" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-14114" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14115" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-14116" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14117" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14118" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-14119" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14120" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14121" style="padding-left: 3.6px;"><span style="display: inline-block; 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width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14123" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14124" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14125" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14126" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14127" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14128" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-14129" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14130" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14131" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14132" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-14133" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14134" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14135" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14136" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: 0.108em; left: 0em;"><span id="MathJax-Span-14137" class="mtd"><span id="MathJax-Span-14138" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-14139" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14140" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-14141" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14142" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14143" class="mi">n</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-14144" class="mo">⪯</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-14145" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14146" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14147" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.556em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 4.067em; vertical-align: -3.148em;"></span></span></nobr></span><script id="MathJax-Element-573" type="math/tex">\begin{array}[t]{l}
 \forall gen,end,e,e_1,a,a_1,t,t_1,attrs,attrs_1.~
 \\
 \qquad wasGeneratedBy(gen,e,a,t,attrs) \wedge wasEndedBy(end,a,e_1,a_1,t_1,attrs_1)
@@ -2510,7 +2510,7 @@
 \quad\Rightarrow
 gen \preceq end
 \end{array}</script></li></ol></div>
-<div class="constraint" number="35" id="wasInformedBy-ordering"><div class="ruleTitle"><a class="internalDFN" href="#wasInformedBy-ordering">Constraint 35 (wasInformedBy-ordering)</a></div><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-574-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-14148"><span style="display: inline-block; position: relative; width: 934px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 104.7px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-14149"><span class="mtable" id="MathJax-Span-14150" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 928px; height: 0px;"><span style="position: absolute; clip: rect(75px 19360px 153.8px -9px); top: -92px; left: 0px;"><span style="display: inline-block; position: relative; width: 928px; height: 0px;"><span style="position: absolute; clip: rect(31px 19360px 57.1px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-14151"><span class="mrow" id="MathJax-Span-14152"><span class="mi" id="MathJax-Span-14153" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-14154" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-14155" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-14156" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14157" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">s</span><span class="mi" id="MathJax-Span-14158" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14159" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-14160" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-14161" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-14162" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14163" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mi" id="MathJax-Span-14164" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-14165" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-14166" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14167" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14168" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-14169" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14170" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14171" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14172" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.3px 19360px 44.6px -8.4px); top: -48.3px; left: 10px;"><span class="mo" id="MathJax-Span-14173" style="font-size: 70.7%; font-family: STIXVariants;">′</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span><span style="position: absolute; clip: rect(29.7px 19360px 45px -7.5px); top: -35.9px; left: 10px;"><span class="mn" id="MathJax-Span-14174" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14175" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14176" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14177" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-14178" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14179" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14180" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14181" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.3px 19360px 44.6px -8.4px); top: -48.3px; left: 10px;"><span class="mo" id="MathJax-Span-14182" style="font-size: 70.7%; font-family: STIXVariants;">′</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span><span style="position: absolute; clip: rect(29.7px 19360px 45px -8.6px); top: -35.9px; left: 10px;"><span class="mn" id="MathJax-Span-14183" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14184" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14185" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14186" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-14187" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14188" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14189" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14190" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-14191" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14192" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14193" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14194" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-14195" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14196" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14197" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14198" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-14199" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14200" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14201" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-14202" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14203" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14204" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-14205" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-14206" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14207" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-14208" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14209" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14210" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-14211"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14212" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-14213" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14214" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14215" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-14216" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14217" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14218" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-14219"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14220" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-14221" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14222" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-14223" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31px 19360px 57.1px -9px); top: -19.2px; left: 0px;"><span class="mtd" id="MathJax-Span-14224"><span class="mrow" id="MathJax-Span-14225"><span class="mspace" id="MathJax-Span-14226" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-14227" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-14228" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-14229" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-14230" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span class="mi" id="MathJax-Span-14231" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-14232" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-14233" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-14234" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-14235" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-14236" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-14237" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-14238" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-14239" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-14240" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-14241" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-14242" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-14243" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14244" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14245" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-14246" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14247" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14248" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14249" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-14250" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14251" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14252" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-14253" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14254" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14255" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-14256" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-14257" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-14258" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-14259" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-14260" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-14261" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-14262" style="font-family: STIXGeneral-Italic;">S<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.2px;"></span></span><span class="mi" id="MathJax-Span-14263" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14264" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-14265" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-14266" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14267" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-14268" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-14269" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-14270" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-14271" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-14272" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-14273" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14274" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-14275" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-14276" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-14277" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14278" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14279" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-14280" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14281" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14282" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14283" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-14284" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14285" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14286" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14287" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.3px 19360px 44.6px -8.4px); top: -48.3px; left: 10px;"><span class="mo" id="MathJax-Span-14288" style="font-size: 70.7%; font-family: STIXVariants;">′</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span><span style="position: absolute; clip: rect(29.7px 19360px 45px -7.5px); top: -35.9px; left: 10px;"><span class="mn" id="MathJax-Span-14289" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14290" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14291" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14292" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-14293" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14294" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14295" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-14296" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14297" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14298" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-14299"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14300" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-14301" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14302" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-14303" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-14304" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-14305" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-14306" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-14307" style="font-family: STIXGeneral-Italic;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-14308" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-14309" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-14310" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-14311" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-14312" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-14313" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-14314" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-14315" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-14316" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-14317" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-14318" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14319" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14320" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-14321" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14322" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14323" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14324" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-14325" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14326" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14327" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14328" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.3px 19360px 44.6px -8.4px); top: -48.3px; left: 10px;"><span class="mo" id="MathJax-Span-14329" style="font-size: 70.7%; font-family: STIXVariants;">′</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span><span style="position: absolute; clip: rect(29.7px 19360px 45px -8.6px); top: -35.9px; left: 10px;"><span class="mn" id="MathJax-Span-14330" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14331" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14332" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14333" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-14334" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14335" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14336" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-14337" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14338" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14339" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-14340"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14341" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-14342" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14343" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.8px 19360px 54px -9px); top: 7.8px; left: 0px;"><span class="mtd" id="MathJax-Span-14344"><span class="mrow" id="MathJax-Span-14345"><span class="mspace" id="MathJax-Span-14346" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-14347" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-14348" style="font-family: STIXGeneral-Italic; padding-left: 6px;">s</span><span class="mi" id="MathJax-Span-14349" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14350" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-14351" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-14352" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-14353" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⪯</span><span class="mi" id="MathJax-Span-14354" style="font-family: STIXGeneral-Italic; padding-left: 6px;">e</span><span class="mi" id="MathJax-Span-14355" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-14356" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 92px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 78.2px; vertical-align: -61.7px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-574">\begin{array}[t]{l}
+<div class="constraint" number="35" id="wasInformedBy-ordering"><div class="ruleTitle"><a href="#wasInformedBy-ordering" class="internalDFN">Constraint 35 (wasInformedBy-ordering)</a></div><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-574-Frame" class="MathJax"><nobr><span id="MathJax-Span-14148" class="math"><span style="display: inline-block; position: relative; width: 847px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.354em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-14149" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-14150" class="mtable"><span style="display: inline-block; position: relative; width: 49.124em; height: 0px;"><span style="position: absolute; clip: rect(3.89em, 1000em, 8.002em, -0.526em); top: -4.79em; left: 0em;"><span style="display: inline-block; position: relative; width: 49.124em; height: 0px;"><span style="position: absolute; clip: rect(1.671em, 1000em, 3.059em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-14151" class="mtd"><span id="MathJax-Span-14152" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-14153" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14154" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14155" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14156" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-14157" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14158" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14159" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14160" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14161" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14162" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-14163" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14164" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14165" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14166" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14167" class="msubsup"><span style="display: inline-block; 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font-style: italic;" id="MathJax-Span-14272" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14273" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14274" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14275" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14276" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14277" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14278" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14279" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14280" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14281" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14282" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14283" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14284" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14285" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14286" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14287" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.528em, 1000em, 2.258em, -0.495em); top: -2.427em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXVariants;" id="MathJax-Span-14288" class="mo">′</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span><span style="position: absolute; clip: rect(1.45em, 1000em, 2.278em, -0.447em); top: -1.789em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14289" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14290" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14291" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14292" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14293" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14294" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-14295" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14296" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14297" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14298" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-14299" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14300" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14301" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14302" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-14303" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-14304" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14305" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14306" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14307" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14308" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14309" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14310" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14311" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14312" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14313" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-14314" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14315" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14316" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14317" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14318" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14319" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14320" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14321" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14322" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14323" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14324" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14325" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14326" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14327" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14328" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.528em, 1000em, 2.258em, -0.495em); top: -2.427em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXVariants;" id="MathJax-Span-14329" class="mo">′</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span><span style="position: absolute; clip: rect(1.45em, 1000em, 2.278em, -0.505em); top: -1.789em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14330" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14331" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14332" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14333" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14334" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14335" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-14336" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14337" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14338" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14339" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-14340" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14341" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14342" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14343" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.848em, -0.526em); top: 0.364em; left: 0em;"><span id="MathJax-Span-14344" class="mtd"><span id="MathJax-Span-14345" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-14346" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14347" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-14348" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14349" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14350" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14351" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14352" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-14353" class="mo">⪯</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-14354" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14355" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14356" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.79em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 4.335em; vertical-align: -3.416em;"></span></span></nobr></span><script id="MathJax-Element-574" type="math/tex">\begin{array}[t]{l}
 \forall id,start,end,a_1,a_1',a_2,a_2',e_1,e_2,t_1,t_2,attrs,attrs_1,attrs_2.~
 \\
 \qquad wasInformedBy(id,a_2,a_1,attrs) \wedge wasStartedBy(start,a_1,e_1,a_1',t_1,attrs_1) \wedge wasEndedBy(end,a_2,e_2,a_2',t_2,attrs_2)
@@ -2518,7 +2518,7 @@
 \quad\Rightarrow
 start \preceq end
 \end{array}</script></div>
-<div class="constraint" number="36" id="generation-precedes-invalidation"><div class="ruleTitle"><a class="internalDFN" href="#generation-precedes-invalidation">Constraint 36 (generation-precedes-invalidation)</a></div><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-575-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-14357"><span style="display: inline-block; position: relative; width: 647px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 99.3px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-14358"><span class="mtable" id="MathJax-Span-14359" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 641px; height: 0px;"><span style="position: absolute; clip: rect(71.2px 19360px 145.3px -9px); top: -87px; left: 0px;"><span style="display: inline-block; position: relative; width: 641px; height: 0px;"><span style="position: absolute; clip: rect(32.2px 19360px 55px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-14360"><span class="mrow" id="MathJax-Span-14361"><span class="mi" id="MathJax-Span-14362" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-14363" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-14364" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-14365" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-14366" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14367" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">i</span><span class="mi" id="MathJax-Span-14368" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-14369" style="font-family: STIXGeneral-Italic;">v</span><span class="mo" id="MathJax-Span-14370" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14371" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-14372" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14373" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14374" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-14375" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14376" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14377" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14378" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-14379" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14380" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14381" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14382" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-14383" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14384" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14385" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14386" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-14387" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14388" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14389" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-14390" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14391" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14392" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-14393"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14394" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-14395" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14396" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14397" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-14398" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14399" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14400" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-14401"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14402" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-14403" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14404" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-14405" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -22.1px; left: 0px;"><span class="mtd" id="MathJax-Span-14406"><span class="mrow" id="MathJax-Span-14407"><span class="mspace" id="MathJax-Span-14408" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-14409" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-14410" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-14411" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-14412" style="font-family: STIXGeneral-Italic;">G</span><span class="mi" id="MathJax-Span-14413" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-14414" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-14415" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-14416" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-14417" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-14418" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14419" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-14420" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-14421" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-14422" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-14423" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-14424" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-14425" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-14426" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-14427" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14428" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-14429" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14430" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14431" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-14432" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14433" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14434" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14435" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-14436" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14437" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14438" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-14439" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14440" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14441" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-14442"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14443" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-14444" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14445" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-14446" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-14447" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-14448" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-14449" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-14450" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span class="mi" id="MathJax-Span-14451" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-14452" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-14453" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-14454" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-14455" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-14456" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-14457" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-14458" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14459" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-14460" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-14461" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-14462" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-14463" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-14464" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-14465" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-14466" style="font-family: STIXGeneral-Italic;">v</span><span class="mo" id="MathJax-Span-14467" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14468" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-14469" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14470" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14471" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-14472" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14473" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14474" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14475" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-14476" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14477" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14478" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-14479" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14480" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14481" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-14482"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14483" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-14484" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14485" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(33.3px 19360px 56px -9px); top: 2.3px; left: 0px;"><span class="mtd" id="MathJax-Span-14486"><span class="mrow" id="MathJax-Span-14487"><span class="mspace" id="MathJax-Span-14488" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-14489" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-14490" style="font-family: STIXGeneral-Italic; padding-left: 6px;">g</span><span class="mi" id="MathJax-Span-14491" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-14492" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-14493" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⪯</span><span class="mi" id="MathJax-Span-14494" style="font-family: STIXGeneral-Italic; padding-left: 6px;">i</span><span class="mi" id="MathJax-Span-14495" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-14496" style="font-family: STIXGeneral-Italic;">v</span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 87px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 72.8px; vertical-align: -56.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-575">\begin{array}[t]{l}
+<div class="constraint" number="36" id="generation-precedes-invalidation"><div class="ruleTitle"><a href="#generation-precedes-invalidation" class="internalDFN">Constraint 36 (generation-precedes-invalidation)</a></div><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-575-Frame" class="MathJax"><nobr><span id="MathJax-Span-14357" class="math"><span style="display: inline-block; position: relative; width: 585px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.075em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-14358" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-14359" class="mtable"><span style="display: inline-block; position: relative; width: 33.82em; height: 0px;"><span style="position: absolute; clip: rect(3.66em, 1000em, 7.528em, -0.526em); top: -4.498em; left: 0em;"><span style="display: inline-block; position: relative; width: 33.82em; height: 0px;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.951em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-14360" class="mtd"><span id="MathJax-Span-14361" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-14362" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14363" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14364" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14365" class="mi">n</span><span style="font-family: STIXGeneral;" id="MathJax-Span-14366" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-14367" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14368" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14369" class="mi">v</span><span style="font-family: STIXGeneral;" id="MathJax-Span-14370" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-14371" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-14372" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14373" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14374" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14375" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14376" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14377" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14378" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14379" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14380" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14381" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14382" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14383" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14384" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14385" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14386" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14387" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14388" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-14389" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14390" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14391" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14392" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-14393" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14394" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14395" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14396" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-14397" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14398" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14399" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14400" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-14401" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14402" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14403" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14404" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-14405" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: -1.231em; left: 0em;"><span id="MathJax-Span-14406" class="mtd"><span id="MathJax-Span-14407" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-14408" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14409" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14410" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14411" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14412" class="mi">G</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14413" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14414" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14415" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14416" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14417" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14418" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14419" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14420" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14421" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14422" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-14423" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14424" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14425" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14426" class="mi">n</span><span style="font-family: STIXGeneral;" id="MathJax-Span-14427" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-14428" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-14429" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14430" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14431" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14432" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14433" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14434" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14435" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14436" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14437" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-14438" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14439" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14440" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14441" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-14442" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14443" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14444" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14445" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-14446" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-14447" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14448" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14449" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14450" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14451" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14452" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14453" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14454" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14455" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14456" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14457" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14458" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14459" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14460" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14461" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14462" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-14463" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14464" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14465" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14466" class="mi">v</span><span style="font-family: STIXGeneral;" id="MathJax-Span-14467" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-14468" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-14469" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14470" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14471" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14472" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14473" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14474" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14475" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14476" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14477" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-14478" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14479" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14480" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14481" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-14482" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14483" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14484" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14485" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.741em, 1000em, 2.951em, -0.526em); top: 0.079em; left: 0em;"><span id="MathJax-Span-14486" class="mtd"><span id="MathJax-Span-14487" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-14488" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14489" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-14490" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14491" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14492" class="mi">n</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-14493" class="mo">⪯</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-14494" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14495" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14496" class="mi">v</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.498em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 4.036em; vertical-align: -3.117em;"></span></span></nobr></span><script id="MathJax-Element-575" type="math/tex">\begin{array}[t]{l}
 \forall gen,inv,e,a_1,a_2,t_1,t_2,attrs_1,attrs_2.~
 \\
 \qquad wasGeneratedBy(gen,e,a_1,t_1,attrs_1) \wedge wasInvalidatedBy(inv,e,a_2,t_2,attrs_2)
@@ -2526,7 +2526,7 @@
 \quad\Rightarrow
 gen \preceq inv
 \end{array}</script></div>
-<div class="constraint" number="37" id="generation-precedes-usage"><div class="ruleTitle"><a class="internalDFN" href="#generation-precedes-usage">Constraint 37 (generation-precedes-usage)</a></div><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-576-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-14497"><span style="display: inline-block; position: relative; width: 545px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 98.4px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-14498"><span class="mtable" id="MathJax-Span-14499" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 539px; height: 0px;"><span style="position: absolute; clip: rect(71.2px 19360px 144.4px -9px); top: -87px; left: 0px;"><span style="display: inline-block; position: relative; width: 539px; height: 0px;"><span style="position: absolute; clip: rect(32.2px 19360px 55px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-14500"><span class="mrow" id="MathJax-Span-14501"><span class="mi" id="MathJax-Span-14502" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-14503" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-14504" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-14505" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-14506" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14507" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">u</span><span class="mi" id="MathJax-Span-14508" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-14509" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-14510" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14511" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-14512" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14513" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14514" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-14515" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14516" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14517" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14518" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-14519" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14520" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14521" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14522" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-14523" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14524" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14525" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14526" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-14527" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14528" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14529" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-14530" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14531" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14532" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-14533"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14534" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-14535" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14536" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14537" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-14538" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14539" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14540" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-14541"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14542" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-14543" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14544" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-14545" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -22.1px; left: 0px;"><span class="mtd" id="MathJax-Span-14546"><span class="mrow" id="MathJax-Span-14547"><span class="mspace" id="MathJax-Span-14548" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-14549" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-14550" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-14551" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-14552" style="font-family: STIXGeneral-Italic;">G</span><span class="mi" id="MathJax-Span-14553" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-14554" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-14555" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-14556" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-14557" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-14558" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14559" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-14560" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-14561" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-14562" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-14563" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-14564" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-14565" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-14566" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-14567" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14568" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-14569" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14570" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14571" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-14572" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14573" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14574" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14575" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-14576" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14577" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14578" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-14579" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14580" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14581" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-14582"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14583" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-14584" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14585" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-14586" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-14587" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">u</span><span class="mi" id="MathJax-Span-14588" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-14589" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-14590" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-14591" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-14592" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-14593" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-14594" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-14595" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14596" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14597" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-14598" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14599" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14600" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-14601" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14602" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14603" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-14604" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14605" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14606" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-14607" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14608" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14609" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-14610"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14611" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-14612" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14613" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(34.2px 19360px 56px -9px); top: 1.4px; left: 0px;"><span class="mtd" id="MathJax-Span-14614"><span class="mrow" id="MathJax-Span-14615"><span class="mspace" id="MathJax-Span-14616" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-14617" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-14618" style="font-family: STIXGeneral-Italic; padding-left: 6px;">g</span><span class="mi" id="MathJax-Span-14619" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-14620" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-14621" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⪯</span><span class="mi" id="MathJax-Span-14622" style="font-family: STIXGeneral-Italic; padding-left: 6px;">u</span><span class="mi" id="MathJax-Span-14623" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-14624" style="font-family: STIXGeneral-Italic;">e</span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 87px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 71.9px; vertical-align: -55.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-576">\begin{array}[t]{l}
+<div class="constraint" number="37" id="generation-precedes-usage"><div class="ruleTitle"><a href="#generation-precedes-usage" class="internalDFN">Constraint 37 (generation-precedes-usage)</a></div><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-576-Frame" class="MathJax"><nobr><span id="MathJax-Span-14497" class="math"><span style="display: inline-block; position: relative; width: 495px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.03em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-14498" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-14499" class="mtable"><span style="display: inline-block; position: relative; width: 28.563em; height: 0px;"><span style="position: absolute; clip: rect(3.66em, 1000em, 7.483em, -0.526em); top: -4.498em; left: 0em;"><span style="display: inline-block; position: relative; width: 28.563em; height: 0px;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.951em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-14500" class="mtd"><span id="MathJax-Span-14501" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-14502" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14503" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14504" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14505" class="mi">n</span><span style="font-family: STIXGeneral;" id="MathJax-Span-14506" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-14507" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14508" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14509" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-14510" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-14511" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-14512" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14513" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14514" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14515" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14516" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14517" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14518" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14519" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14520" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14521" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14522" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14523" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14524" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14525" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14526" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14527" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14528" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-14529" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14530" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14531" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14532" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-14533" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14534" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14535" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14536" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-14537" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14538" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14539" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14540" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-14541" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14542" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14543" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14544" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-14545" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: -1.231em; left: 0em;"><span id="MathJax-Span-14546" class="mtd"><span id="MathJax-Span-14547" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-14548" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14549" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14550" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14551" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14552" class="mi">G</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14553" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14554" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14555" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14556" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14557" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14558" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14559" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14560" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14561" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14562" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-14563" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14564" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14565" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14566" class="mi">n</span><span style="font-family: STIXGeneral;" id="MathJax-Span-14567" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-14568" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-14569" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14570" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14571" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14572" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14573" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14574" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14575" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14576" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14577" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-14578" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14579" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14580" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14581" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-14582" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14583" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14584" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14585" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-14586" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-14587" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14588" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14589" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14590" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14591" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14592" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14593" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14594" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-14595" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14596" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14597" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14598" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14599" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-14600" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-14601" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14602" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14603" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14604" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14605" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-14606" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14607" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14608" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14609" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-14610" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14611" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14612" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14613" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.786em, 1000em, 2.951em, -0.526em); top: 0.034em; left: 0em;"><span id="MathJax-Span-14614" class="mtd"><span id="MathJax-Span-14615" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-14616" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14617" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-14618" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14619" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14620" class="mi">n</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-14621" class="mo">⪯</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-14622" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14623" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14624" class="mi">e</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.498em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 3.988em; vertical-align: -3.069em;"></span></span></nobr></span><script id="MathJax-Element-576" type="math/tex">\begin{array}[t]{l}
 \forall gen,use,e,a_1,a_2,t_1,t_2,attrs_1,attrs_2.~
 \\
 \qquad wasGeneratedBy(gen,e,a_1,t_1,attrs_1) \wedge used(use,a_2,e,t_2,attrs_2)
@@ -2534,7 +2534,7 @@
 \quad\Rightarrow
 gen \preceq use
 \end{array}</script></div>
-<div class="constraint" number="38" id="usage-precedes-invalidation"><div class="ruleTitle"><a class="internalDFN" href="#usage-precedes-invalidation">Constraint 38 (usage-precedes-invalidation)</a></div><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-577-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-14625"><span style="display: inline-block; position: relative; width: 548px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 98.1px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-14626"><span class="mtable" id="MathJax-Span-14627" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 542px; height: 0px;"><span style="position: absolute; clip: rect(68.2px 19360px 139.2px -9px); top: -84px; left: 0px;"><span style="display: inline-block; position: relative; width: 542px; height: 0px;"><span style="position: absolute; clip: rect(32.2px 19360px 53.9px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-14628"><span class="mrow" id="MathJax-Span-14629"><span class="mi" id="MathJax-Span-14630" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-14631" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-14632" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-14633" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-14634" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14635" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">i</span><span class="mi" id="MathJax-Span-14636" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-14637" style="font-family: STIXGeneral-Italic;">v</span><span class="mo" id="MathJax-Span-14638" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14639" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14640" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-14641" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14642" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14643" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14644" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-14645" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14646" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14647" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-14648" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14649" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14650" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-14651" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14652" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14653" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14654" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-14655" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14656" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14657" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-14658" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14659" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14660" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-14661"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14662" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-14663" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14664" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14665" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-14666" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14667" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14668" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-14669"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14670" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-14671" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14672" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-14673" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -23.2px; left: 0px;"><span class="mtd" id="MathJax-Span-14674"><span class="mrow" id="MathJax-Span-14675"><span class="mspace" id="MathJax-Span-14676" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-14677" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-14678" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-14679" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-14680" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-14681" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-14682" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-14683" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-14684" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-14685" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14686" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14687" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-14688" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14689" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14690" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-14691" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14692" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14693" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-14694" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14695" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14696" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-14697" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14698" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14699" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-14700"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14701" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-14702" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14703" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-14704" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-14705" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-14706" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-14707" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-14708" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span class="mi" id="MathJax-Span-14709" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-14710" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-14711" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-14712" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-14713" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-14714" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-14715" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-14716" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14717" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-14718" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-14719" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-14720" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-14721" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-14722" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-14723" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-14724" style="font-family: STIXGeneral-Italic;">v</span><span class="mo" id="MathJax-Span-14725" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14726" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-14727" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14728" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14729" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-14730" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14731" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14732" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14733" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-14734" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14735" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14736" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-14737" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14738" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14739" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-14740"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14741" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-14742" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14743" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(33.3px 19360px 54px -9px); top: 1.2px; left: 0px;"><span class="mtd" id="MathJax-Span-14744"><span class="mrow" id="MathJax-Span-14745"><span class="mspace" id="MathJax-Span-14746" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-14747" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-14748" style="font-family: STIXGeneral-Italic; padding-left: 6px;">u</span><span class="mi" id="MathJax-Span-14749" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-14750" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-14751" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⪯</span><span class="mi" id="MathJax-Span-14752" style="font-family: STIXGeneral-Italic; padding-left: 6px;">i</span><span class="mi" id="MathJax-Span-14753" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-14754" style="font-family: STIXGeneral-Italic;">v</span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 84px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 71.6px; vertical-align: -55.1px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-577">\begin{array}[t]{l}
+<div class="constraint" number="38" id="usage-precedes-invalidation"><div class="ruleTitle"><a href="#usage-precedes-invalidation" class="internalDFN">Constraint 38 (usage-precedes-invalidation)</a></div><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-577-Frame" class="MathJax"><nobr><span id="MathJax-Span-14625" class="math"><span style="display: inline-block; position: relative; width: 497px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.013em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-14626" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-14627" class="mtable"><span style="display: inline-block; position: relative; width: 28.68em; height: 0px;"><span style="position: absolute; clip: rect(3.544em, 1000em, 7.252em, -0.526em); top: -4.381em; left: 0em;"><span style="display: inline-block; position: relative; width: 28.68em; height: 0px;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.895em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-14628" class="mtd"><span id="MathJax-Span-14629" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-14630" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14631" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14632" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14633" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-14634" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-14635" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14636" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14637" class="mi">v</span><span style="font-family: STIXGeneral;" id="MathJax-Span-14638" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14639" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14640" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14641" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14642" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14643" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14644" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14645" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14646" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-14647" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-14648" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14649" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14650" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14651" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14652" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14653" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14654" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14655" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14656" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-14657" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14658" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14659" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14660" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-14661" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14662" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14663" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14664" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-14665" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14666" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14667" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14668" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-14669" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14670" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14671" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14672" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-14673" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: -1.287em; left: 0em;"><span id="MathJax-Span-14674" class="mtd"><span id="MathJax-Span-14675" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-14676" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14677" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14678" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14679" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14680" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14681" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14682" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14683" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14684" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-14685" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14686" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14687" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14688" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14689" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-14690" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-14691" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14692" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14693" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14694" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14695" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-14696" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14697" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14698" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14699" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-14700" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14701" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14702" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14703" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-14704" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-14705" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14706" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14707" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14708" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14709" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14710" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14711" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14712" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14713" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14714" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14715" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14716" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14717" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14718" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14719" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14720" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-14721" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14722" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14723" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14724" class="mi">v</span><span style="font-family: STIXGeneral;" id="MathJax-Span-14725" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-14726" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-14727" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14728" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14729" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14730" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14731" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14732" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14733" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14734" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14735" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-14736" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14737" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14738" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14739" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-14740" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14741" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14742" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14743" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.741em, 1000em, 2.848em, -0.526em); top: 0.023em; left: 0em;"><span id="MathJax-Span-14744" class="mtd"><span id="MathJax-Span-14745" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-14746" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14747" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-14748" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14749" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14750" class="mi">e</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-14751" class="mo">⪯</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-14752" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14753" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14754" class="mi">v</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.381em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 3.97em; vertical-align: -3.051em;"></span></span></nobr></span><script id="MathJax-Element-577" type="math/tex">\begin{array}[t]{l}
 \forall use,inv,a_1,a_2,e,t_1,t_2,attrs_1,attrs_2.~
 \\
 \qquad used(use,a_1,e,t_1,attrs_1) \wedge wasInvalidatedBy(inv,e,a_2,t_2,attrs_2)
@@ -2542,7 +2542,7 @@
 \quad\Rightarrow
 use \preceq inv
 \end{array}</script></div>
-<div class="constraint" number="39" id="generation-generation-ordering"><div class="ruleTitle"><a class="internalDFN" href="#generation-generation-ordering">Constraint 39 (generation-generation-ordering)</a></div><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-578-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-14755"><span style="display: inline-block; position: relative; width: 661px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 98.4px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-14756"><span class="mtable" id="MathJax-Span-14757" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 655px; height: 0px;"><span style="position: absolute; clip: rect(71.2px 19360px 144.4px -9px); top: -87px; left: 0px;"><span style="display: inline-block; position: relative; width: 655px; height: 0px;"><span style="position: absolute; clip: rect(32.2px 19360px 55px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-14758"><span class="mrow" id="MathJax-Span-14759"><span class="mi" id="MathJax-Span-14760" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-14761" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-14762" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-14763"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14764" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-14765" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14766" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14767" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">g</span><span class="mi" id="MathJax-Span-14768" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-14769"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14770" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-14771" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14772" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14773" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-14774" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14775" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14776" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-14777" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14778" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14779" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14780" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-14781" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14782" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14783" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14784" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-14785" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14786" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14787" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14788" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-14789" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14790" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14791" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-14792" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14793" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14794" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-14795"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14796" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-14797" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14798" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14799" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-14800" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14801" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14802" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-14803"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14804" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-14805" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14806" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-14807" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -22.1px; left: 0px;"><span class="mtd" id="MathJax-Span-14808"><span class="mrow" id="MathJax-Span-14809"><span class="mspace" id="MathJax-Span-14810" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-14811" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-14812" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-14813" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-14814" style="font-family: STIXGeneral-Italic;">G</span><span class="mi" id="MathJax-Span-14815" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-14816" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-14817" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-14818" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-14819" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-14820" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14821" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-14822" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-14823" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-14824" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-14825" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-14826" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-14827" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-14828"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14829" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-14830" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14831" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14832" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-14833" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14834" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14835" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-14836" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14837" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14838" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14839" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-14840" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14841" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14842" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-14843" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14844" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14845" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-14846"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14847" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-14848" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14849" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-14850" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-14851" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-14852" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-14853" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-14854" style="font-family: STIXGeneral-Italic;">G</span><span class="mi" id="MathJax-Span-14855" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-14856" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-14857" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-14858" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-14859" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-14860" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14861" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-14862" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-14863" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-14864" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-14865" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-14866" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-14867" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-14868"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14869" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-14870" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14871" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14872" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-14873" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14874" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14875" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-14876" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14877" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14878" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14879" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-14880" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14881" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14882" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-14883" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14884" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14885" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-14886"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14887" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-14888" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14889" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(34.2px 19360px 56px -9px); top: 1.4px; left: 0px;"><span class="mtd" id="MathJax-Span-14890"><span class="mrow" id="MathJax-Span-14891"><span class="mspace" id="MathJax-Span-14892" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-14893" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-14894" style="font-family: STIXGeneral-Italic; padding-left: 6px;">g</span><span class="mi" id="MathJax-Span-14895" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-14896"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14897" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-14898" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14899" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⪯</span><span class="mi" id="MathJax-Span-14900" style="font-family: STIXGeneral-Italic; padding-left: 6px;">g</span><span class="mi" id="MathJax-Span-14901" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-14902"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14903" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-14904" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 87px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 71.9px; vertical-align: -55.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-578">\begin{array}[t]{l}
+<div class="constraint" number="39" id="generation-generation-ordering"><div class="ruleTitle"><a href="#generation-generation-ordering" class="internalDFN">Constraint 39 (generation-generation-ordering)</a></div><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-578-Frame" class="MathJax"><nobr><span id="MathJax-Span-14755" class="math"><span style="display: inline-block; position: relative; width: 598px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.03em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-14756" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-14757" class="mtable"><span style="display: inline-block; position: relative; width: 34.579em; height: 0px;"><span style="position: absolute; clip: rect(3.66em, 1000em, 7.483em, -0.526em); top: -4.498em; left: 0em;"><span style="display: inline-block; position: relative; width: 34.579em; height: 0px;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.951em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-14758" class="mtd"><span id="MathJax-Span-14759" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-14760" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14761" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14762" class="mi">e</span><span id="MathJax-Span-14763" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.754em, -0.512em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14764" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14765" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14766" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-14767" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14768" class="mi">e</span><span id="MathJax-Span-14769" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.754em, -0.512em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14770" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14771" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14772" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-14773" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-14774" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14775" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14776" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14777" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14778" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14779" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14780" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14781" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14782" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14783" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14784" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14785" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14786" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14787" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14788" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14789" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14790" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-14791" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14792" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14793" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14794" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-14795" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14796" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14797" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14798" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-14799" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14800" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14801" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14802" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-14803" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14804" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14805" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14806" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-14807" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: -1.231em; left: 0em;"><span id="MathJax-Span-14808" class="mtd"><span id="MathJax-Span-14809" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-14810" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14811" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14812" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14813" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14814" class="mi">G</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14815" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14816" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14817" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14818" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14819" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14820" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14821" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14822" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14823" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14824" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-14825" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14826" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14827" class="mi">e</span><span id="MathJax-Span-14828" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.754em, -0.512em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14829" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14830" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14831" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-14832" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-14833" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14834" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14835" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14836" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14837" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14838" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14839" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14840" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14841" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-14842" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14843" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14844" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14845" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-14846" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14847" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14848" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14849" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-14850" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-14851" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14852" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14853" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14854" class="mi">G</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14855" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14856" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14857" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14858" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14859" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14860" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14861" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14862" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14863" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14864" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-14865" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14866" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14867" class="mi">e</span><span id="MathJax-Span-14868" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.754em, -0.512em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14869" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14870" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14871" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-14872" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-14873" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14874" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14875" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14876" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14877" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14878" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14879" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14880" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14881" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-14882" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14883" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14884" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14885" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-14886" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14887" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14888" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14889" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.786em, 1000em, 2.951em, -0.526em); top: 0.034em; left: 0em;"><span id="MathJax-Span-14890" class="mtd"><span id="MathJax-Span-14891" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-14892" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14893" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-14894" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14895" class="mi">e</span><span id="MathJax-Span-14896" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.754em, -0.512em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14897" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14898" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-14899" class="mo">⪯</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-14900" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14901" class="mi">e</span><span id="MathJax-Span-14902" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.754em, -0.512em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14903" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14904" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.498em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 3.988em; vertical-align: -3.069em;"></span></span></nobr></span><script id="MathJax-Element-578" type="math/tex">\begin{array}[t]{l}
 \forall gen_1,gen_2,e,a_1,a_2,t_1,t_2,attrs_1,attrs_2.~
 \\
 \qquad wasGeneratedBy(gen_1,e,a_1,t_1,attrs_1) \wedge wasGeneratedBy(gen_2,e,a_2,t_2,attrs_2)
@@ -2550,7 +2550,7 @@
 \quad\Rightarrow
 gen_1 \preceq gen_2
 \end{array}</script></div>
-<div class="constraint" number="40" id="invalidation-invalidation-ordering"><div class="ruleTitle"><a class="internalDFN" href="#invalidation-invalidation-ordering">Constraint 40 (invalidation-invalidation-ordering)</a></div><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-579-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-14905"><span style="display: inline-block; position: relative; width: 667px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 98.1px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-14906"><span class="mtable" id="MathJax-Span-14907" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 661px; height: 0px;"><span style="position: absolute; clip: rect(69.2px 19360px 141.1px -9px); top: -85px; left: 0px;"><span style="display: inline-block; position: relative; width: 661px; height: 0px;"><span style="position: absolute; clip: rect(32.2px 19360px 53.9px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-14908"><span class="mrow" id="MathJax-Span-14909"><span class="mi" id="MathJax-Span-14910" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-14911" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-14912" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-14913"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.3px -8.6px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14914" style="font-family: STIXGeneral-Italic;">v</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-14915" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14916" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14917" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">i</span><span class="mi" id="MathJax-Span-14918" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-14919"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.3px -8.6px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14920" style="font-family: STIXGeneral-Italic;">v</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-14921" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14922" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14923" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-14924" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14925" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14926" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-14927" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14928" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14929" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14930" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-14931" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14932" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14933" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14934" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-14935" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14936" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14937" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14938" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-14939" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14940" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14941" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-14942" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14943" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14944" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-14945"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14946" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-14947" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14948" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14949" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-14950" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14951" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14952" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-14953"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14954" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-14955" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14956" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-14957" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -23.2px; left: 0px;"><span class="mtd" id="MathJax-Span-14958"><span class="mrow" id="MathJax-Span-14959"><span class="mspace" id="MathJax-Span-14960" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-14961" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-14962" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-14963" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-14964" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span class="mi" id="MathJax-Span-14965" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-14966" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-14967" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-14968" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-14969" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-14970" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-14971" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-14972" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14973" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-14974" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-14975" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-14976" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-14977" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-14978" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-14979" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-14980"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.3px -8.6px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14981" style="font-family: STIXGeneral-Italic;">v</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-14982" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14983" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14984" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-14985" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14986" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14987" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-14988" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14989" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-14990" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14991" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-14992" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-14993" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-14994" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-14995" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14996" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-14997" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-14998"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-14999" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-15000" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15001" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-15002" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-15003" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-15004" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-15005" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-15006" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span class="mi" id="MathJax-Span-15007" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-15008" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-15009" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-15010" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-15011" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-15012" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-15013" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-15014" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15015" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-15016" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-15017" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-15018" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-15019" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-15020" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-15021" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-15022"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.3px -8.6px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15023" style="font-family: STIXGeneral-Italic;">v</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-15024" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15025" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15026" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-15027" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15028" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15029" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-15030" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15031" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15032" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15033" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-15034" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15035" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15036" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-15037" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15038" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15039" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-15040"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15041" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-15042" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15043" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(33.3px 19360px 54.9px -9px); top: 1.2px; left: 0px;"><span class="mtd" id="MathJax-Span-15044"><span class="mrow" id="MathJax-Span-15045"><span class="mspace" id="MathJax-Span-15046" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-15047" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-15048" style="font-family: STIXGeneral-Italic; padding-left: 6px;">i</span><span class="mi" id="MathJax-Span-15049" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-15050"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.3px -8.6px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15051" style="font-family: STIXGeneral-Italic;">v</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-15052" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15053" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⪯</span><span class="mi" id="MathJax-Span-15054" style="font-family: STIXGeneral-Italic; padding-left: 6px;">i</span><span class="mi" id="MathJax-Span-15055" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-15056"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.3px -8.6px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15057" style="font-family: STIXGeneral-Italic;">v</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-15058" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 85px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 71.6px; vertical-align: -55.1px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-579">\begin{array}[t]{l}
+<div class="constraint" number="40" id="invalidation-invalidation-ordering"><div class="ruleTitle"><a href="#invalidation-invalidation-ordering" class="internalDFN">Constraint 40 (invalidation-invalidation-ordering)</a></div><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-579-Frame" class="MathJax"><nobr><span id="MathJax-Span-14905" class="math"><span style="display: inline-block; position: relative; width: 604px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.013em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-14906" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-14907" class="mtable"><span style="display: inline-block; position: relative; width: 34.93em; height: 0px;"><span style="position: absolute; clip: rect(3.544em, 1000em, 7.299em, -0.526em); top: -4.381em; left: 0em;"><span style="display: inline-block; position: relative; width: 34.93em; height: 0px;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.895em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-14908" class="mtd"><span id="MathJax-Span-14909" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-14910" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14911" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14912" class="mi">n</span><span id="MathJax-Span-14913" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.763em, -0.506em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14914" class="mi">v</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14915" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14916" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-14917" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14918" class="mi">n</span><span id="MathJax-Span-14919" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.763em, -0.506em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14920" class="mi">v</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14921" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14922" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-14923" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-14924" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14925" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14926" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14927" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14928" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14929" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14930" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14931" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14932" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14933" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14934" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14935" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14936" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14937" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14938" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14939" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14940" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-14941" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14942" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14943" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14944" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-14945" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14946" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14947" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14948" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-14949" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14950" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14951" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14952" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-14953" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14954" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14955" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14956" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-14957" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: -1.287em; left: 0em;"><span id="MathJax-Span-14958" class="mtd"><span id="MathJax-Span-14959" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-14960" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14961" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14962" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14963" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14964" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14965" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14966" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14967" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14968" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14969" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14970" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14971" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14972" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14973" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14974" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14975" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14976" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-14977" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14978" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14979" class="mi">n</span><span id="MathJax-Span-14980" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.763em, -0.506em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14981" class="mi">v</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14982" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14983" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-14984" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-14985" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14986" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14987" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14988" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14989" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-14990" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14991" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-14992" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-14993" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-14994" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14995" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14996" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14997" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-14998" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-14999" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15000" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15001" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-15002" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-15003" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15004" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15005" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15006" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15007" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15008" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15009" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15010" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15011" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15012" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15013" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15014" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15015" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15016" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15017" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15018" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-15019" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15020" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15021" class="mi">n</span><span id="MathJax-Span-15022" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.763em, -0.506em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15023" class="mi">v</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15024" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15025" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15026" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-15027" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-15028" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15029" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15030" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15031" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-15032" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15033" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15034" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15035" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15036" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15037" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15038" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15039" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-15040" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15041" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15042" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15043" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.741em, 1000em, 2.895em, -0.526em); top: 0.023em; left: 0em;"><span id="MathJax-Span-15044" class="mtd"><span id="MathJax-Span-15045" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-15046" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15047" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-15048" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15049" class="mi">n</span><span id="MathJax-Span-15050" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.763em, -0.506em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15051" class="mi">v</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15052" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-15053" class="mo">⪯</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-15054" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15055" class="mi">n</span><span id="MathJax-Span-15056" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.763em, -0.506em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15057" class="mi">v</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15058" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.381em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 3.97em; vertical-align: -3.051em;"></span></span></nobr></span><script id="MathJax-Element-579" type="math/tex">\begin{array}[t]{l}
 \forall inv_1,inv_2,e,a_1,a_2,t_1,t_2,attrs_1,attrs_2.~
 \\
 \qquad wasInvalidatedBy(inv_1,e,a_1,t_1,attrs_1) \wedge wasInvalidatedBy(inv_2,e,a_2,t_2,attrs_2)
@@ -2558,7 +2558,7 @@
 \quad\Rightarrow
 inv_1 \preceq inv_2
 \end{array}</script></div>
-<div class="constraint" number="41" id="derivation-usage-generation-ordering"><div class="ruleTitle"><a class="internalDFN" href="#derivation-usage-generation-ordering">Constraint 41 (derivation-usage-generation-ordering)</a></div><p>In this constraint, <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-580-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-15059"><span style="display: inline-block; position: relative; width: 10px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-15060"><span class="mi" id="MathJax-Span-15061" style="font-family: STIXGeneral-Italic;">a</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-580">a</script>,<span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-581-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-15062"><span style="display: inline-block; position: relative; width: 37px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-15063"><span class="mi" id="MathJax-Span-15064" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-15065" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-15066"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15067" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-15068" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 14.5px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-581">gen_2</script>, or <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-582-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-15069"><span style="display: inline-block; position: relative; width: 34px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.4px 19360px 53.9px -8.2px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-15070"><span class="mi" id="MathJax-Span-15071" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-15072" style="font-family: STIXGeneral-Italic;">s</span><span class="msubsup" id="MathJax-Span-15073"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15074" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-15075" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 13.5px; vertical-align: -3.9px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-582">use_1</script> must not be placeholders -.</p><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-583-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-15076"><span style="display: inline-block; position: relative; width: 755px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 98.4px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-15077"><span class="mtable" id="MathJax-Span-15078" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 749px; height: 0px;"><span style="position: absolute; clip: rect(70.8px 19360px 144.4px -9px); top: -87px; left: 0px;"><span style="display: inline-block; position: relative; width: 749px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-15079"><span class="mrow" id="MathJax-Span-15080"><span class="mi" id="MathJax-Span-15081" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-15082" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-15083" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15084" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15085" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-15086" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15087" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15088" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15089" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-15090" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15091" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15092" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-15093" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15094" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">g</span><span class="mi" id="MathJax-Span-15095" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-15096"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15097" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-15098" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15099" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15100" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">u</span><span class="mi" id="MathJax-Span-15101" style="font-family: STIXGeneral-Italic;">s</span><span class="msubsup" id="MathJax-Span-15102"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15103" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-15104" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15105" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15106" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-15107" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15108" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15109" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-15110" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-15111" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-15112" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -22.1px; left: 0px;"><span class="mtd" id="MathJax-Span-15113"><span class="mrow" id="MathJax-Span-15114"><span class="mspace" id="MathJax-Span-15115" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-15116" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-15117" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-15118" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15119" style="font-family: STIXGeneral-Italic;">N<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.2px;"></span></span><span class="mi" id="MathJax-Span-15120" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-15121" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-15122" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mo" id="MathJax-Span-15123" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-15124" style="font-family: STIXGeneral-Italic;">a</span><span class="mo" id="MathJax-Span-15125" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-15126" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-15127" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">n</span><span class="mi" id="MathJax-Span-15128" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-15129" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15130" style="font-family: STIXGeneral-Italic;">N<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.2px;"></span></span><span class="mi" id="MathJax-Span-15131" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-15132" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-15133" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mo" id="MathJax-Span-15134" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-15135" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-15136" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-15137"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15138" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-15139" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15140" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-15141" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-15142" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">n</span><span class="mi" id="MathJax-Span-15143" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-15144" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15145" style="font-family: STIXGeneral-Italic;">N<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.2px;"></span></span><span class="mi" id="MathJax-Span-15146" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-15147" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-15148" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mo" id="MathJax-Span-15149" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-15150" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-15151" style="font-family: STIXGeneral-Italic;">s</span><span class="msubsup" id="MathJax-Span-15152"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15153" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-15154" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15155" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-15156" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-15157" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-15158" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-15159" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-15160" style="font-family: STIXGeneral-Italic;">D</span><span class="mi" id="MathJax-Span-15161" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-15162" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-15163" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-15164" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-15165" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-15166" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-15167" style="font-family: STIXGeneral-Italic;">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.7px;"></span></span><span class="mi" id="MathJax-Span-15168" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-15169" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-15170" style="font-family: STIXGeneral-Italic;">m</span><span class="mo" id="MathJax-Span-15171" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-15172" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-15173" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15174" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15175" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-15176" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15177" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15178" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15179" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-15180" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15181" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15182" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-15183" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15184" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">g</span><span class="mi" id="MathJax-Span-15185" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-15186"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15187" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-15188" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15189" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15190" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">u</span><span class="mi" id="MathJax-Span-15191" style="font-family: STIXGeneral-Italic;">s</span><span class="msubsup" id="MathJax-Span-15192"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15193" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-15194" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15195" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15196" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-15197" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15198" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15199" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-15200" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-15201" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(34.2px 19360px 56px -9px); top: 1.4px; left: 0px;"><span class="mtd" id="MathJax-Span-15202"><span class="mrow" id="MathJax-Span-15203"><span class="mspace" id="MathJax-Span-15204" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-15205" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-15206" style="font-family: STIXGeneral-Italic; padding-left: 6px;">u</span><span class="mi" id="MathJax-Span-15207" style="font-family: STIXGeneral-Italic;">s</span><span class="msubsup" id="MathJax-Span-15208"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15209" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-15210" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15211" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⪯</span><span class="mi" id="MathJax-Span-15212" style="font-family: STIXGeneral-Italic; padding-left: 6px;">g</span><span class="mi" id="MathJax-Span-15213" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-15214"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15215" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-15216" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 87px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 71.9px; vertical-align: -55.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-583">\begin{array}[t]{l}
+<div class="constraint" number="41" id="derivation-usage-generation-ordering"><div class="ruleTitle"><a href="#derivation-usage-generation-ordering" class="internalDFN">Constraint 41 (derivation-usage-generation-ordering)</a></div><p>In this constraint, <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-580-Frame" class="MathJax"><nobr><span id="MathJax-Span-15059" class="math"><span style="display: inline-block; position: relative; width: 9px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-15060" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15061" class="mi">a</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.609em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-580" type="math/tex">a</script>,<span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-581-Frame" class="MathJax"><nobr><span id="MathJax-Span-15062" class="math"><span style="display: inline-block; position: relative; width: 32px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.951em, -0.518em); top: -2.57em; left: 0em;"><span id="MathJax-Span-15063" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15064" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15065" class="mi">e</span><span id="MathJax-Span-15066" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.754em, -0.512em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15067" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15068" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.817em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-581" type="math/tex">gen_2</script>, or <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-582-Frame" class="MathJax"><nobr><span id="MathJax-Span-15069" class="math"><span style="display: inline-block; position: relative; width: 31px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.895em, -0.484em); top: -2.57em; left: 0em;"><span id="MathJax-Span-15070" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15071" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15072" class="mi">s</span><span id="MathJax-Span-15073" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15074" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15075" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.758em; vertical-align: -0.223em;"></span></span></nobr></span><script id="MathJax-Element-582" type="math/tex">use_1</script> must not be placeholders -.</p><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-583-Frame" class="MathJax"><nobr><span id="MathJax-Span-15076" class="math"><span style="display: inline-block; position: relative; width: 686px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.03em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-15077" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-15078" class="mtable"><span style="display: inline-block; position: relative; width: 39.72em; height: 0px;"><span style="position: absolute; clip: rect(3.639em, 1000em, 7.483em, -0.526em); top: -4.498em; left: 0em;"><span style="display: inline-block; position: relative; width: 39.72em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-15079" class="mtd"><span id="MathJax-Span-15080" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-15081" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15082" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15083" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-15084" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15085" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15086" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15087" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-15088" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15089" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15090" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15091" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15092" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-15093" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15094" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15095" class="mi">e</span><span id="MathJax-Span-15096" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.754em, -0.512em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15097" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15098" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15099" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15100" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15101" class="mi">s</span><span id="MathJax-Span-15102" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15103" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15104" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15105" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15106" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15107" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15108" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15109" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15110" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-15111" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-15112" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: -1.231em; left: 0em;"><span id="MathJax-Span-15113" class="mtd"><span id="MathJax-Span-15114" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-15115" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15116" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15117" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15118" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15119" class="mi">N<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.06em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15120" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15121" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15122" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15123" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15124" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-15125" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-15126" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-15127" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15128" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15129" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15130" class="mi">N<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.06em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15131" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15132" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15133" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15134" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15135" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15136" class="mi">e</span><span id="MathJax-Span-15137" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.754em, -0.512em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15138" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15139" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15140" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-15141" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-15142" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15143" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15144" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15145" class="mi">N<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.06em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15146" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15147" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15148" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15149" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15150" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15151" class="mi">s</span><span id="MathJax-Span-15152" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15153" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15154" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15155" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-15156" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-15157" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15158" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15159" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15160" class="mi">D</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15161" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15162" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15163" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15164" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15165" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15166" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15167" class="mi">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.034em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15168" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15169" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15170" class="mi">m</span><span style="font-family: STIXGeneral;" id="MathJax-Span-15171" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15172" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15173" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-15174" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15175" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15176" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15177" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-15178" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15179" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15180" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15181" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15182" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-15183" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15184" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15185" class="mi">e</span><span id="MathJax-Span-15186" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.754em, -0.512em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15187" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15188" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15189" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15190" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15191" class="mi">s</span><span id="MathJax-Span-15192" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15193" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15194" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15195" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15196" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15197" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15198" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15199" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15200" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-15201" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.786em, 1000em, 2.951em, -0.526em); top: 0.034em; left: 0em;"><span id="MathJax-Span-15202" class="mtd"><span id="MathJax-Span-15203" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-15204" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15205" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-15206" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15207" class="mi">s</span><span id="MathJax-Span-15208" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15209" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15210" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-15211" class="mo">⪯</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-15212" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15213" class="mi">e</span><span id="MathJax-Span-15214" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.754em, -0.512em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15215" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15216" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.498em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 3.988em; vertical-align: -3.069em;"></span></span></nobr></span><script id="MathJax-Element-583" type="math/tex">\begin{array}[t]{l}
 \forall d,e_1,e_2,a,gen_2,use_1,attrs.~
 \\
 \qquad notNull(a) \wedge notNull(gen_2) \wedge notNull(use_1) \wedge wasDerivedFrom(d,e_2,e_1,a,gen_2,use_1,attrs)
@@ -2566,7 +2566,7 @@
 \quad\Rightarrow
 use_1 \preceq gen_2
 \end{array}</script></div>
-<div class="constraint" number="42" id="derivation-generation-generation-ordering"><div class="ruleTitle"><a class="internalDFN" href="#derivation-generation-generation-ordering">Constraint 42 (derivation-generation-generation-ordering)</a></div><p>In this constraint, any of <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-584-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-15217"><span style="display: inline-block; position: relative; width: 10px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-15218"><span class="mi" id="MathJax-Span-15219" style="font-family: STIXGeneral-Italic;">a</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-584">a</script>,<span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-585-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-15220"><span style="display: inline-block; position: relative; width: 10px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-15221"><span class="mi" id="MathJax-Span-15222" style="font-family: STIXGeneral-Italic;">g</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 14.5px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-585">g</script>, or <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-586-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-15223"><span style="display: inline-block; position: relative; width: 10px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.2px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-15224"><span class="mi" id="MathJax-Span-15225" style="font-family: STIXGeneral-Italic;">u</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.8px; vertical-align: -1.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-586">u</script> may be placeholders -.</p><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-587-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-15226"><span style="display: inline-block; position: relative; width: 1000px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 97.3px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-15227"><span class="mtable" id="MathJax-Span-15228" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 994px; height: 0px;"><span style="position: absolute; clip: rect(69.8px 19360px 142.3px -9px); top: -86px; left: 0px;"><span style="display: inline-block; position: relative; width: 994px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-15229"><span class="mrow" id="MathJax-Span-15230"><span class="mi" id="MathJax-Span-15231" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-15232" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-15233" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15234" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">g</span><span class="mi" id="MathJax-Span-15235" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-15236"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15237" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-15238" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15239" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15240" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">g</span><span class="mi" id="MathJax-Span-15241" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-15242"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15243" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-15244" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15245" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15246" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15247" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-15248" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15249" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15250" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15251" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-15252" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15253" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15254" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-15255" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15256" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15257" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-15258" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15259" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15260" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15261" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-15262" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15263" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15264" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">g</span><span class="mo" id="MathJax-Span-15265" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15266" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">u</span><span class="mo" id="MathJax-Span-15267" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15268" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15269" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-15270" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15271" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15272" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15273" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-15274" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15275" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15276" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-15277" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15278" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15279" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-15280" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-15281" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15282" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-15283" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15284" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15285" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-15286"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15287" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-15288" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15289" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15290" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-15291" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15292" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15293" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-15294"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15295" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-15296" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15297" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-15298" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -22.1px; left: 0px;"><span class="mtd" id="MathJax-Span-15299"><span class="mrow" id="MathJax-Span-15300"><span class="mspace" id="MathJax-Span-15301" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-15302" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-15303" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-15304" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-15305" style="font-family: STIXGeneral-Italic;">D</span><span class="mi" id="MathJax-Span-15306" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-15307" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-15308" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-15309" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-15310" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-15311" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-15312" style="font-family: STIXGeneral-Italic;">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.7px;"></span></span><span class="mi" id="MathJax-Span-15313" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-15314" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-15315" style="font-family: STIXGeneral-Italic;">m</span><span class="mo" id="MathJax-Span-15316" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-15317" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-15318" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15319" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15320" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-15321" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15322" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15323" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15324" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-15325" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15326" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15327" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-15328" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15329" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">g</span><span class="mo" id="MathJax-Span-15330" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15331" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">u</span><span class="mo" id="MathJax-Span-15332" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15333" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-15334" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15335" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15336" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-15337" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-15338" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-15339" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-15340" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-15341" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-15342" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-15343" style="font-family: STIXGeneral-Italic;">G</span><span class="mi" id="MathJax-Span-15344" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-15345" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-15346" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-15347" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-15348" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-15349" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15350" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-15351" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-15352" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-15353" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-15354" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-15355" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-15356" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-15357"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15358" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-15359" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15360" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15361" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15362" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-15363" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15364" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15365" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15366" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-15367" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15368" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15369" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15370" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-15371" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15372" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15373" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-15374" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15375" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15376" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-15377"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15378" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-15379" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15380" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-15381" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-15382" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-15383" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-15384" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-15385" style="font-family: STIXGeneral-Italic;">G</span><span class="mi" id="MathJax-Span-15386" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-15387" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-15388" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-15389" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-15390" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-15391" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15392" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-15393" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-15394" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-15395" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-15396" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-15397" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-15398" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-15399"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15400" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-15401" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15402" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15403" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15404" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-15405" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15406" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15407" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15408" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-15409" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15410" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15411" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15412" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-15413" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15414" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15415" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-15416" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15417" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15418" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-15419"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15420" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-15421" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15422" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(35.3px 19360px 56px -9px); top: 0.3px; left: 0px;"><span class="mtd" id="MathJax-Span-15423"><span class="mrow" id="MathJax-Span-15424"><span class="mspace" id="MathJax-Span-15425" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-15426" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-15427" style="font-family: STIXGeneral-Italic; padding-left: 6px;">g</span><span class="mi" id="MathJax-Span-15428" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-15429"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15430" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-15431" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15432" style="font-family: STIXGeneral-Regular; padding-left: 6px;">≺</span><span class="mi" id="MathJax-Span-15433" style="font-family: STIXGeneral-Italic; padding-left: 6px;">g</span><span class="mi" id="MathJax-Span-15434" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-15435"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15436" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-15437" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 86px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 70.8px; vertical-align: -54.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-587">\begin{array}[t]{l}
+<div class="constraint" number="42" id="derivation-generation-generation-ordering"><div class="ruleTitle"><a href="#derivation-generation-generation-ordering" class="internalDFN">Constraint 42 (derivation-generation-generation-ordering)</a></div><p>In this constraint, any of <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-584-Frame" class="MathJax"><nobr><span id="MathJax-Span-15217" class="math"><span style="display: inline-block; position: relative; width: 9px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-15218" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15219" class="mi">a</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.609em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-584" type="math/tex">a</script>,<span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-585-Frame" class="MathJax"><nobr><span id="MathJax-Span-15220" class="math"><span style="display: inline-block; position: relative; width: 9px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.951em, -0.518em); top: -2.57em; left: 0em;"><span id="MathJax-Span-15221" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15222" class="mi">g</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.817em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-585" type="math/tex">g</script>, or <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-586-Frame" class="MathJax"><nobr><span id="MathJax-Span-15223" class="math"><span style="display: inline-block; position: relative; width: 9px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.484em); top: -2.57em; left: 0em;"><span id="MathJax-Span-15224" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15225" class="mi">u</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.609em; vertical-align: -0.074em;"></span></span></nobr></span><script id="MathJax-Element-586" type="math/tex">u</script> may be placeholders -.</p><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-587-Frame" class="MathJax"><nobr><span id="MathJax-Span-15226" class="math"><span style="display: inline-block; position: relative; width: 908px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 4.972em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-15227" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-15228" class="mtable"><span style="display: inline-block; position: relative; width: 52.687em; height: 0px;"><span style="position: absolute; clip: rect(3.581em, 1000em, 7.366em, -0.526em); top: -4.439em; left: 0em;"><span style="display: inline-block; position: relative; width: 52.687em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-15229" class="mtd"><span id="MathJax-Span-15230" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-15231" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15232" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15233" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15234" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15235" class="mi">e</span><span id="MathJax-Span-15236" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.754em, -0.512em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15237" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15238" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15239" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15240" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15241" class="mi">e</span><span id="MathJax-Span-15242" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.754em, -0.512em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15243" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15244" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15245" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-15246" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15247" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15248" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15249" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-15250" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15251" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15252" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15253" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15254" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-15255" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-15256" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15257" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15258" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15259" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-15260" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15261" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15262" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15263" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15264" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-15265" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15266" class="mi">u</span><span style="font-family: STIXGeneral;" id="MathJax-Span-15267" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-15268" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15269" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15270" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15271" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-15272" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15273" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15274" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15275" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15276" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15277" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15278" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15279" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15280" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-15281" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15282" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15283" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15284" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15285" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-15286" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15287" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15288" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15289" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15290" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15291" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15292" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15293" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-15294" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15295" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15296" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15297" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-15298" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: -1.231em; left: 0em;"><span id="MathJax-Span-15299" class="mtd"><span id="MathJax-Span-15300" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-15301" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15302" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15303" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15304" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15305" class="mi">D</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15306" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15307" class="mi">r<span style="display: inline-block; 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position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15412" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15413" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15414" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15415" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15416" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15417" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15418" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-15419" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15420" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15421" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15422" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.844em, 1000em, 2.951em, -0.526em); top: -0.024em; left: 0em;"><span id="MathJax-Span-15423" class="mtd"><span id="MathJax-Span-15424" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-15425" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15426" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-15427" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15428" class="mi">e</span><span id="MathJax-Span-15429" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.754em, -0.512em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15430" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15431" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-15432" class="mo">≺</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-15433" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15434" class="mi">e</span><span id="MathJax-Span-15435" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.754em, -0.512em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15436" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15437" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.439em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 3.926em; vertical-align: -3.007em;"></span></span></nobr></span><script id="MathJax-Element-587" type="math/tex">\begin{array}[t]{l}
 \forall d,gen_1,gen_2,e_1,e_2,a,a_1,a_2,g,u,t_1,t_2,attrs,attrs_1,attrs_2.~
 \\
 \qquad wasDerivedFrom(d,e_2,e_1,a,g,u,attrs) \wedge wasGeneratedBy(gen_1,e_1,a_1,t_1,attrs_1) \wedge wasGeneratedBy(gen_2,e_2,a_2,t_2,attrs_2)
@@ -2574,14 +2574,14 @@
 \quad\Rightarrow
 gen_1 \prec gen_2
 \end{array}</script></div>
-<div class="constraint" number="43" id="wasStartedBy-ordering"><div class="ruleTitle"><a class="internalDFN" href="#wasStartedBy-ordering">Constraint 43 (wasStartedBy-ordering)</a></div><ol><li><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-588-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-15438"><span style="display: inline-block; position: relative; width: 644px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 98.4px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-15439"><span class="mtable" id="MathJax-Span-15440" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 638px; height: 0px;"><span style="position: absolute; clip: rect(71.2px 19360px 144.4px -9px); top: -87px; left: 0px;"><span style="display: inline-block; position: relative; width: 638px; height: 0px;"><span style="position: absolute; clip: rect(32.2px 19360px 55px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-15441"><span class="mrow" id="MathJax-Span-15442"><span class="mi" id="MathJax-Span-15443" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-15444" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-15445" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-15446" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-15447" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15448" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">s</span><span class="mi" id="MathJax-Span-15449" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15450" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-15451" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-15452" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-15453" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15454" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-15455" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15456" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-15457" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15458" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15459" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-15460" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15461" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15462" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15463" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-15464" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15465" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15466" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15467" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-15468" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15469" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15470" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15471" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-15472" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15473" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15474" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-15475" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15476" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15477" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-15478"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15479" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-15480" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15481" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15482" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-15483" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15484" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15485" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-15486"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15487" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-15488" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15489" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-15490" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -22.1px; left: 0px;"><span class="mtd" id="MathJax-Span-15491"><span class="mrow" id="MathJax-Span-15492"><span class="mspace" id="MathJax-Span-15493" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-15494" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-15495" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-15496" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-15497" style="font-family: STIXGeneral-Italic;">G</span><span class="mi" id="MathJax-Span-15498" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-15499" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-15500" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-15501" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-15502" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-15503" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15504" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-15505" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-15506" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-15507" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-15508" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-15509" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-15510" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-15511" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-15512" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15513" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-15514" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15515" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15516" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-15517" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15518" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15519" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15520" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-15521" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15522" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15523" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-15524" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15525" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15526" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-15527"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15528" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-15529" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15530" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-15531" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-15532" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-15533" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-15534" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-15535" style="font-family: STIXGeneral-Italic;">S<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.2px;"></span></span><span class="mi" id="MathJax-Span-15536" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15537" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-15538" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-15539" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15540" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-15541" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-15542" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-15543" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-15544" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-15545" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-15546" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15547" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-15548" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-15549" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-15550" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15551" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-15552" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15553" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-15554" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15555" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15556" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-15557" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15558" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15559" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15560" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-15561" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15562" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15563" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-15564" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15565" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15566" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-15567"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15568" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-15569" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15570" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(34.2px 19360px 56px -9px); top: 1.4px; left: 0px;"><span class="mtd" id="MathJax-Span-15571"><span class="mrow" id="MathJax-Span-15572"><span class="mspace" id="MathJax-Span-15573" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-15574" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-15575" style="font-family: STIXGeneral-Italic; padding-left: 6px;">g</span><span class="mi" id="MathJax-Span-15576" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-15577" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-15578" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⪯</span><span class="mi" id="MathJax-Span-15579" style="font-family: STIXGeneral-Italic; padding-left: 6px;">s</span><span class="mi" id="MathJax-Span-15580" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15581" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-15582" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-15583" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 87px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 71.9px; vertical-align: -55.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-588">\begin{array}[t]{l}
+<div class="constraint" number="43" id="wasStartedBy-ordering"><div class="ruleTitle"><a href="#wasStartedBy-ordering" class="internalDFN">Constraint 43 (wasStartedBy-ordering)</a></div><ol><li><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-588-Frame" class="MathJax"><nobr><span id="MathJax-Span-15438" class="math"><span style="display: inline-block; position: relative; width: 584px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.03em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-15439" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-15440" class="mtable"><span style="display: inline-block; position: relative; width: 33.762em; height: 0px;"><span style="position: absolute; clip: rect(3.66em, 1000em, 7.483em, -0.526em); top: -4.498em; left: 0em;"><span style="display: inline-block; position: relative; width: 33.762em; height: 0px;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.951em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-15441" class="mtd"><span id="MathJax-Span-15442" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-15443" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15444" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15445" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15446" class="mi">n</span><span style="font-family: STIXGeneral;" id="MathJax-Span-15447" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15448" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15449" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15450" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15451" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15452" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15453" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15454" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-15455" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15456" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-15457" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-15458" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15459" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15460" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15461" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-15462" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15463" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15464" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15465" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-15466" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15467" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15468" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15469" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-15470" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15471" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15472" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15473" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15474" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15475" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15476" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15477" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-15478" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15479" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15480" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15481" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15482" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15483" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15484" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15485" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-15486" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15487" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15488" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15489" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-15490" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: -1.231em; left: 0em;"><span id="MathJax-Span-15491" class="mtd"><span id="MathJax-Span-15492" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-15493" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15494" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15495" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15496" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15497" class="mi">G</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15498" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15499" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15500" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15501" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15502" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15503" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15504" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15505" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15506" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15507" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-15508" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15509" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15510" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15511" class="mi">n</span><span style="font-family: STIXGeneral;" id="MathJax-Span-15512" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15513" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-15514" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-15515" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15516" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15517" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15518" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-15519" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15520" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15521" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15522" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15523" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15524" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15525" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15526" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-15527" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15528" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15529" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15530" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-15531" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-15532" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15533" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15534" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15535" class="mi">S<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.008em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15536" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15537" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15538" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15539" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15540" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15541" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15542" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15543" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-15544" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15545" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15546" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15547" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15548" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15549" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15550" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15551" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-15552" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15553" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-15554" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-15555" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15556" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15557" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15558" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-15559" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15560" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15561" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15562" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15563" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15564" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15565" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15566" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-15567" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15568" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15569" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15570" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.786em, 1000em, 2.951em, -0.526em); top: 0.034em; left: 0em;"><span id="MathJax-Span-15571" class="mtd"><span id="MathJax-Span-15572" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-15573" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15574" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-15575" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15576" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15577" class="mi">n</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-15578" class="mo">⪯</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-15579" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15580" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15581" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15582" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15583" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.498em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 3.988em; vertical-align: -3.069em;"></span></span></nobr></span><script id="MathJax-Element-588" type="math/tex">\begin{array}[t]{l}
 \forall gen,start,e,a,a_1,a_2,t_1,t_2,attrs_1,attrs_2.~
 \\
 \qquad wasGeneratedBy(gen,e,a_1,t_1,attrs_1) \wedge wasStartedBy(start,a,e,a_2,t_2,attrs_2)
 \\
 \quad\Rightarrow
 gen \preceq start
-\end{array}</script></li><li><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-589-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-15584"><span style="display: inline-block; position: relative; width: 647px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 98.1px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-15585"><span class="mtable" id="MathJax-Span-15586" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 641px; height: 0px;"><span style="position: absolute; clip: rect(68.2px 19360px 139.2px -9px); top: -84px; left: 0px;"><span style="display: inline-block; position: relative; width: 641px; height: 0px;"><span style="position: absolute; clip: rect(32.2px 19360px 53.9px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-15587"><span class="mrow" id="MathJax-Span-15588"><span class="mi" id="MathJax-Span-15589" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-15590" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-15591" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15592" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-15593" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-15594" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-15595" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15596" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">i</span><span class="mi" id="MathJax-Span-15597" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-15598" style="font-family: STIXGeneral-Italic;">v</span><span class="mo" id="MathJax-Span-15599" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15600" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-15601" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15602" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-15603" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15604" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15605" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-15606" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15607" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15608" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15609" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-15610" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15611" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15612" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15613" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-15614" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15615" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15616" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15617" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-15618" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15619" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15620" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-15621" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15622" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15623" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-15624"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15625" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-15626" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15627" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15628" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-15629" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15630" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15631" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-15632"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15633" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-15634" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15635" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-15636" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -23.2px; left: 0px;"><span class="mtd" id="MathJax-Span-15637"><span class="mrow" id="MathJax-Span-15638"><span class="mspace" id="MathJax-Span-15639" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-15640" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-15641" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-15642" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-15643" style="font-family: STIXGeneral-Italic;">S<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.2px;"></span></span><span class="mi" id="MathJax-Span-15644" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15645" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-15646" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-15647" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15648" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-15649" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-15650" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-15651" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-15652" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-15653" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-15654" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15655" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-15656" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-15657" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-15658" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15659" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-15660" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15661" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-15662" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15663" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15664" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-15665" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15666" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15667" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15668" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; 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padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-15702" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15703" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15704" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-15705" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15706" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15707" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15708" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-15709" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15710" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15711" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-15712" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; 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font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15628" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15629" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15630" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15631" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-15632" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15633" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15634" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15635" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-15636" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: -1.287em; left: 0em;"><span id="MathJax-Span-15637" class="mtd"><span id="MathJax-Span-15638" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-15639" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15640" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15641" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15642" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15643" class="mi">S<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.008em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15644" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15645" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15646" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15647" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15648" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15649" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15650" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15651" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-15652" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15653" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15654" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15655" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15656" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15657" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15658" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15659" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-15660" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15661" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-15662" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-15663" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15664" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15665" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15666" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-15667" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15668" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15669" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15670" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15671" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15672" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15673" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15674" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-15675" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15676" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15677" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15678" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-15679" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-15680" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15681" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15682" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15683" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15684" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15685" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15686" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15687" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15688" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15689" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15690" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15691" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15692" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15693" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15694" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15695" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-15696" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15697" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15698" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15699" class="mi">v</span><span style="font-family: STIXGeneral;" id="MathJax-Span-15700" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15701" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-15702" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-15703" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15704" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15705" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15706" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-15707" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15708" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15709" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15710" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15711" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15712" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15713" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15714" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-15715" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15716" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15717" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15718" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.741em, 1000em, 2.848em, -0.526em); top: 0.023em; left: 0em;"><span id="MathJax-Span-15719" class="mtd"><span id="MathJax-Span-15720" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-15721" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15722" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-15723" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15724" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15725" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15726" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15727" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-15728" class="mo">⪯</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-15729" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15730" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15731" class="mi">v</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.381em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 3.97em; vertical-align: -3.051em;"></span></span></nobr></span><script id="MathJax-Element-589" type="math/tex">\begin{array}[t]{l}
 \forall start,inv,e,a,a_1,a_2,t_1,t_2,attrs_1,attrs_2.~
 \\
 \qquad wasStartedBy(start,a,e,a_1,t_1,attrs_1) \wedge wasInvalidatedBy(inv,e,a_2,t_2,attrs_2)
@@ -2589,14 +2589,14 @@
 \quad\Rightarrow
 start \preceq inv
 \end{array}</script></li></ol></div>
-<div class="constraint" number="44" id="wasEndedBy-ordering"><div class="ruleTitle"><a class="internalDFN" href="#wasEndedBy-ordering">Constraint 44 (wasEndedBy-ordering)</a></div><ol><li><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-590-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-15732"><span style="display: inline-block; position: relative; width: 632px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 99.8px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-15733"><span class="mtable" id="MathJax-Span-15734" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 626px; height: 0px;"><span style="position: absolute; clip: rect(71.8px 19360px 146.8px -9px); top: -88px; left: 0px;"><span style="display: inline-block; position: relative; width: 626px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-15735"><span class="mrow" id="MathJax-Span-15736"><span class="mi" id="MathJax-Span-15737" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-15738" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-15739" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-15740" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-15741" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15742" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mi" id="MathJax-Span-15743" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-15744" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-15745" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15746" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-15747" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15748" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-15749" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15750" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15751" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-15752" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15753" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15754" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15755" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-15756" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15757" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15758" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15759" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-15760" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15761" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15762" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15763" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-15764" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15765" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15766" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-15767" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15768" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15769" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-15770"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15771" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-15772" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15773" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15774" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-15775" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15776" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15777" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-15778"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15779" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-15780" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15781" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-15782" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -22.1px; left: 0px;"><span class="mtd" id="MathJax-Span-15783"><span class="mrow" id="MathJax-Span-15784"><span class="mspace" id="MathJax-Span-15785" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-15786" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-15787" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-15788" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-15789" style="font-family: STIXGeneral-Italic;">G</span><span class="mi" id="MathJax-Span-15790" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-15791" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-15792" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-15793" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-15794" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-15795" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15796" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-15797" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-15798" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-15799" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-15800" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-15801" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-15802" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-15803" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-15804" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15805" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-15806" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15807" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15808" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-15809" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15810" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15811" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15812" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-15813" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15814" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15815" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-15816" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15817" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15818" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-15819"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15820" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-15821" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15822" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-15823" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-15824" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-15825" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-15826" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-15827" style="font-family: STIXGeneral-Italic;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-15828" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-15829" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-15830" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-15831" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-15832" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-15833" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-15834" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-15835" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-15836" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-15837" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-15838" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15839" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-15840" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15841" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-15842" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15843" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15844" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-15845" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15846" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15847" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15848" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-15849" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15850" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15851" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-15852" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15853" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15854" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-15855"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15856" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-15857" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15858" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.8px 19360px 56px -9px); top: 2.8px; left: 0px;"><span class="mtd" id="MathJax-Span-15859"><span class="mrow" id="MathJax-Span-15860"><span class="mspace" id="MathJax-Span-15861" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-15862" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-15863" style="font-family: STIXGeneral-Italic; padding-left: 6px;">g</span><span class="mi" id="MathJax-Span-15864" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-15865" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-15866" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⪯</span><span class="mi" id="MathJax-Span-15867" style="font-family: STIXGeneral-Italic; padding-left: 6px;">e</span><span class="mi" id="MathJax-Span-15868" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-15869" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 88px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 73.3px; vertical-align: -56.8px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-590">\begin{array}[t]{l}
+<div class="constraint" number="44" id="wasEndedBy-ordering"><div class="ruleTitle"><a href="#wasEndedBy-ordering" class="internalDFN">Constraint 44 (wasEndedBy-ordering)</a></div><ol><li><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-590-Frame" class="MathJax"><nobr><span id="MathJax-Span-15732" class="math"><span style="display: inline-block; position: relative; width: 571px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.104em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-15733" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-15734" class="mtable"><span style="display: inline-block; position: relative; width: 33.002em; height: 0px;"><span style="position: absolute; clip: rect(3.698em, 1000em, 7.615em, -0.526em); top: -4.556em; left: 0em;"><span style="display: inline-block; position: relative; width: 33.002em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-15735" class="mtd"><span id="MathJax-Span-15736" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-15737" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15738" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15739" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15740" class="mi">n</span><span style="font-family: STIXGeneral;" id="MathJax-Span-15741" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15742" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15743" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15744" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15745" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15746" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-15747" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15748" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-15749" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-15750" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15751" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15752" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15753" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-15754" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15755" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15756" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15757" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-15758" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15759" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15760" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15761" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-15762" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15763" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15764" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15765" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15766" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15767" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15768" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15769" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-15770" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15771" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15772" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15773" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15774" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15775" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15776" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15777" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-15778" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15779" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15780" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15781" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-15782" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: -1.231em; left: 0em;"><span id="MathJax-Span-15783" class="mtd"><span id="MathJax-Span-15784" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-15785" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15786" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15787" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15788" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15789" class="mi">G</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15790" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15791" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15792" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15793" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15794" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15795" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15796" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15797" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15798" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15799" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-15800" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15801" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15802" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15803" class="mi">n</span><span style="font-family: STIXGeneral;" id="MathJax-Span-15804" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15805" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-15806" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-15807" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15808" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15809" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15810" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-15811" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15812" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15813" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15814" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15815" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15816" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15817" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15818" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-15819" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15820" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15821" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15822" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-15823" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-15824" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15825" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15826" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15827" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15828" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15829" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15830" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15831" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15832" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15833" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-15834" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15835" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15836" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15837" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15838" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15839" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-15840" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15841" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-15842" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-15843" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15844" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15845" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15846" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-15847" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15848" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15849" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15850" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15851" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15852" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15853" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15854" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-15855" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15856" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15857" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15858" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: 0.108em; left: 0em;"><span id="MathJax-Span-15859" class="mtd"><span id="MathJax-Span-15860" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-15861" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15862" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-15863" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15864" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15865" class="mi">n</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-15866" class="mo">⪯</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-15867" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15868" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15869" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.556em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 4.067em; vertical-align: -3.148em;"></span></span></nobr></span><script id="MathJax-Element-590" type="math/tex">\begin{array}[t]{l}
 \forall gen,end,e,a,a_1,a_2,t_1,t_2,attrs_1,attrs_2.~
 \\
 \qquad wasGeneratedBy(gen,e,a_1,t_1,attrs_1) \wedge wasEndedBy(end,a,e,a_2,t_2,attrs_2)
 \\
 \quad\Rightarrow
 gen \preceq end
-\end{array}</script></li><li><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-591-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-15870"><span style="display: inline-block; position: relative; width: 635px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 98.6px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-15871"><span class="mtable" id="MathJax-Span-15872" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 629px; height: 0px;"><span style="position: absolute; clip: rect(68.8px 19360px 140.8px -9px); top: -85px; left: 0px;"><span style="display: inline-block; position: relative; width: 629px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 53.9px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-15873"><span class="mrow" id="MathJax-Span-15874"><span class="mi" id="MathJax-Span-15875" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-15876" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-15877" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-15878" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-15879" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15880" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">i</span><span class="mi" id="MathJax-Span-15881" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-15882" style="font-family: STIXGeneral-Italic;">v</span><span class="mo" id="MathJax-Span-15883" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15884" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-15885" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15886" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-15887" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15888" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15889" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-15890" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15891" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15892" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15893" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-15894" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15895" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15896" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15897" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-15898" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15899" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15900" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15901" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-15902" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15903" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15904" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-15905" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15906" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15907" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-15908"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15909" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-15910" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15911" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15912" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-15913" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15914" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15915" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-15916"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15917" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-15918" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15919" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-15920" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -23.2px; left: 0px;"><span class="mtd" id="MathJax-Span-15921"><span class="mrow" id="MathJax-Span-15922"><span class="mspace" id="MathJax-Span-15923" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-15924" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-15925" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-15926" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-15927" style="font-family: STIXGeneral-Italic;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-15928" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-15929" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-15930" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-15931" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-15932" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-15933" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-15934" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-15935" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-15936" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-15937" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-15938" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15939" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-15940" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15941" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-15942" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15943" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15944" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-15945" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15946" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15947" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15948" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-15949" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15950" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15951" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-15952" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15953" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15954" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-15955"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15956" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-15957" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15958" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-15959" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-15960" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-15961" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-15962" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-15963" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span class="mi" id="MathJax-Span-15964" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-15965" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-15966" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-15967" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-15968" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-15969" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-15970" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-15971" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15972" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-15973" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-15974" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-15975" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-15976" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-15977" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-15978" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-15979" style="font-family: STIXGeneral-Italic;">v</span><span class="mo" id="MathJax-Span-15980" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15981" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-15982" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15983" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15984" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-15985" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15986" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-15987" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15988" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-15989" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15990" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-15991" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-15992" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15993" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-15994" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-15995"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-15996" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-15997" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-15998" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.8px 19360px 54px -9px); top: 1.8px; left: 0px;"><span class="mtd" id="MathJax-Span-15999"><span class="mrow" id="MathJax-Span-16000"><span class="mspace" id="MathJax-Span-16001" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-16002" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-16003" style="font-family: STIXGeneral-Italic; padding-left: 6px;">e</span><span class="mi" id="MathJax-Span-16004" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-16005" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; 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top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15902" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15903" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15904" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15905" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15906" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15907" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-15908" class="msubsup"><span style="display: inline-block; 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padding-left: 0.188em;" id="MathJax-Span-15920" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: -1.287em; left: 0em;"><span id="MathJax-Span-15921" class="mtd"><span id="MathJax-Span-15922" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-15923" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15924" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15925" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15926" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15927" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; 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font-style: italic;" id="MathJax-Span-15937" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15938" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15939" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-15940" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15941" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-15942" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-15943" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15944" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15945" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15946" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-15947" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15948" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; 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height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15970" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15971" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15972" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15973" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15974" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15975" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-15976" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15977" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15978" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15979" class="mi">v</span><span style="font-family: STIXGeneral;" id="MathJax-Span-15980" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15981" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-15982" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-15983" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15984" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15985" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15986" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-15987" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15988" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15989" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15990" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-15991" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15992" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15993" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15994" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-15995" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-15996" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-15997" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-15998" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.848em, -0.526em); top: 0.052em; left: 0em;"><span id="MathJax-Span-15999" class="mtd"><span id="MathJax-Span-16000" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-16001" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16002" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-16003" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16004" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16005" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-16006" class="mo">⪯</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-16007" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16008" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16009" class="mi">v</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.381em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 4.001em; vertical-align: -3.082em;"></span></span></nobr></span><script id="MathJax-Element-591" type="math/tex">\begin{array}[t]{l}
 \forall end,inv,e,a,a_1,a_2,t_1,t_2,attrs_1,attrs_2.~
 \\
 \qquad wasEndedBy(end,a,e,a_1,t_1,attrs_1) \wedge wasInvalidatedBy(inv,e,a_2,t_2,attrs_2)
@@ -2604,7 +2604,7 @@
 \quad\Rightarrow
 end \preceq inv
 \end{array}</script></li></ol></div>
-<div class="constraint" number="45" id="specialization-generation-ordering"><div class="ruleTitle"><a class="internalDFN" href="#specialization-generation-ordering">Constraint 45 (specialization-generation-ordering)</a></div><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-592-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-16010"><span style="display: inline-block; position: relative; width: 877px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 98.4px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-16011"><span class="mtable" id="MathJax-Span-16012" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 871px; height: 0px;"><span style="position: absolute; clip: rect(71.2px 19360px 144.4px -9px); top: -87px; left: 0px;"><span style="display: inline-block; position: relative; width: 871px; height: 0px;"><span style="position: absolute; clip: rect(32.2px 19360px 55px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-16013"><span class="mrow" id="MathJax-Span-16014"><span class="mi" id="MathJax-Span-16015" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-16016" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-16017" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-16018"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16019" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-16020" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16021" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-16022" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">g</span><span class="mi" id="MathJax-Span-16023" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-16024"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16025" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-16026" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16027" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16028" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16029" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-16030" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16031" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16032" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16033" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-16034" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16035" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16036" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16037" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-16038" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16039" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16040" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16041" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-16042" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16043" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16044" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16045" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-16046" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16047" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16048" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16049" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-16050" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16051" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-16052" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-16053" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16054" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16055" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-16056"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16057" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-16058" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16059" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-16060" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-16061" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16062" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16063" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-16064"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16065" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-16066" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16067" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-16068" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -22.1px; left: 0px;"><span class="mtd" id="MathJax-Span-16069"><span class="mrow" id="MathJax-Span-16070"><span class="mspace" id="MathJax-Span-16071" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-16072" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-16073" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-16074" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-16075" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-16076" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-16077" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-16078" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-16079" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-16080" style="font-family: STIXGeneral-Italic;">z</span><span class="mi" id="MathJax-Span-16081" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-16082" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16083" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-16084" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-16085" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-16086" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-16087" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-16088" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-16089"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16090" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-16091" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16092" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16093" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16094" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-16095" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16096" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-16097" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-16098" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-16099" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-16100" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-16101" style="font-family: STIXGeneral-Italic;">G</span><span class="mi" id="MathJax-Span-16102" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-16103" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-16104" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-16105" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-16106" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-16107" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16108" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-16109" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-16110" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-16111" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-16112" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-16113" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-16114" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-16115"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16116" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-16117" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16118" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16119" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16120" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-16121" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16122" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16123" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16124" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-16125" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16126" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16127" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16128" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-16129" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16130" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-16131" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-16132" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16133" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16134" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-16135"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16136" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-16137" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16138" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-16139" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-16140" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-16141" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-16142" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-16143" style="font-family: STIXGeneral-Italic;">G</span><span class="mi" id="MathJax-Span-16144" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-16145" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-16146" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-16147" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-16148" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-16149" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16150" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-16151" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-16152" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-16153" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-16154" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-16155" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-16156" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-16157"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16158" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-16159" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16160" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16161" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16162" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-16163" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16164" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16165" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16166" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-16167" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16168" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16169" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16170" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-16171" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16172" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-16173" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-16174" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16175" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16176" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-16177"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16178" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-16179" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16180" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(34.2px 19360px 56px -9px); top: 1.4px; left: 0px;"><span class="mtd" id="MathJax-Span-16181"><span class="mrow" id="MathJax-Span-16182"><span class="mspace" id="MathJax-Span-16183" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-16184" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-16185" style="font-family: STIXGeneral-Italic; padding-left: 6px;">g</span><span class="mi" id="MathJax-Span-16186" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-16187"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16188" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-16189" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16190" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⪯</span><span class="mi" id="MathJax-Span-16191" style="font-family: STIXGeneral-Italic; padding-left: 6px;">g</span><span class="mi" id="MathJax-Span-16192" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-16193"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16194" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-16195" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 87px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 71.9px; vertical-align: -55.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-592">\begin{array}[t]{l}
+<div class="constraint" number="45" id="specialization-generation-ordering"><div class="ruleTitle"><a href="#specialization-generation-ordering" class="internalDFN">Constraint 45 (specialization-generation-ordering)</a></div><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-592-Frame" class="MathJax"><nobr><span id="MathJax-Span-16010" class="math"><span style="display: inline-block; position: relative; width: 797px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.031em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-16011" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-16012" class="mtable"><span style="display: inline-block; position: relative; width: 46.203em; height: 0px;"><span style="position: absolute; clip: rect(3.66em, 1000em, 7.484em, -0.526em); top: -4.498em; left: 0em;"><span style="display: inline-block; position: relative; width: 46.203em; height: 0px;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.951em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-16013" class="mtd"><span id="MathJax-Span-16014" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-16015" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16016" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16017" class="mi">e</span><span id="MathJax-Span-16018" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.754em, -0.512em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16019" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16020" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16021" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-16022" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16023" class="mi">e</span><span id="MathJax-Span-16024" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.754em, -0.512em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16025" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16026" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16027" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-16028" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16029" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16030" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16031" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-16032" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16033" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16034" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16035" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-16036" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16037" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16038" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16039" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-16040" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16041" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16042" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16043" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-16044" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16045" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16046" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16047" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-16048" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16049" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16050" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16051" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-16052" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16053" class="mi">t<span style="display: inline-block; 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position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16170" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16171" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16172" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-16173" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16174" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16175" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16176" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-16177" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16178" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16179" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16180" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.786em, 1000em, 2.951em, -0.526em); top: 0.035em; left: 0em;"><span id="MathJax-Span-16181" class="mtd"><span id="MathJax-Span-16182" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-16183" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16184" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-16185" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16186" class="mi">e</span><span id="MathJax-Span-16187" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.754em, -0.512em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16188" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16189" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-16190" class="mo">⪯</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-16191" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16192" class="mi">e</span><span id="MathJax-Span-16193" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.754em, -0.512em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16194" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16195" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.498em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 3.989em; vertical-align: -3.07em;"></span></span></nobr></span><script id="MathJax-Element-592" type="math/tex">\begin{array}[t]{l}
 \forall gen_1,gen_2,e_1,e_2,a_1,a_2,t_1,t_2,attrs_1,attrs_2.~
 \\
 \qquad specializationOf(e_2,e_1) \wedge wasGeneratedBy(gen_1,e_1,a_1,t_1,attrs_1) \wedge wasGeneratedBy(gen_2,e_2,a_2,t_2,attrs_2)
@@ -2612,7 +2612,7 @@
 \quad\Rightarrow
 gen_1 \preceq gen_2
 \end{array}</script></div>
-<div class="constraint" number="46" id="specialization-invalidation-ordering"><div class="ruleTitle"><a class="internalDFN" href="#specialization-invalidation-ordering">Constraint 46 (specialization-invalidation-ordering)</a></div><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-593-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-16196"><span style="display: inline-block; position: relative; width: 883px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 98.1px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-16197"><span class="mtable" id="MathJax-Span-16198" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 877px; height: 0px;"><span style="position: absolute; clip: rect(69.2px 19360px 141.1px -9px); top: -85px; left: 0px;"><span style="display: inline-block; position: relative; width: 877px; height: 0px;"><span style="position: absolute; clip: rect(32.2px 19360px 53.9px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-16199"><span class="mrow" id="MathJax-Span-16200"><span class="mi" id="MathJax-Span-16201" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-16202" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-16203" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-16204"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.3px -8.6px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16205" style="font-family: STIXGeneral-Italic;">v</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-16206" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16207" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-16208" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">i</span><span class="mi" id="MathJax-Span-16209" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-16210"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.3px -8.6px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16211" style="font-family: STIXGeneral-Italic;">v</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-16212" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16213" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16214" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16215" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-16216" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16217" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16218" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16219" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-16220" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16221" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16222" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16223" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-16224" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16225" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16226" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16227" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-16228" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16229" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16230" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16231" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-16232" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16233" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16234" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16235" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-16236" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16237" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-16238" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-16239" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16240" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16241" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-16242"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16243" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-16244" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16245" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-16246" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-16247" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16248" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16249" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-16250"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16251" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-16252" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16253" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-16254" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -23.2px; left: 0px;"><span class="mtd" id="MathJax-Span-16255"><span class="mrow" id="MathJax-Span-16256"><span class="mspace" id="MathJax-Span-16257" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-16258" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-16259" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-16260" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-16261" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-16262" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-16263" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-16264" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-16265" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-16266" style="font-family: STIXGeneral-Italic;">z</span><span class="mi" id="MathJax-Span-16267" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-16268" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16269" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-16270" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-16271" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-16272" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-16273" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-16274" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-16275"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16276" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-16277" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16278" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16279" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16280" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-16281" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16282" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-16283" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-16284" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-16285" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-16286" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-16287" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span class="mi" id="MathJax-Span-16288" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-16289" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-16290" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-16291" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-16292" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-16293" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-16294" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-16295" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16296" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-16297" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-16298" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-16299" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-16300" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-16301" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-16302" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-16303"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.3px -8.6px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16304" style="font-family: STIXGeneral-Italic;">v</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-16305" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16306" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16307" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16308" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-16309" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16310" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16311" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16312" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-16313" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16314" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16315" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16316" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-16317" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16318" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-16319" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-16320" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16321" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16322" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-16323"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16324" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-16325" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16326" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-16327" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-16328" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-16329" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-16330" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-16331" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span class="mi" id="MathJax-Span-16332" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-16333" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-16334" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-16335" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-16336" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-16337" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-16338" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-16339" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16340" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-16341" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-16342" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-16343" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-16344" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-16345" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-16346" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-16347"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.3px -8.6px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16348" style="font-family: STIXGeneral-Italic;">v</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-16349" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16350" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16351" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16352" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-16353" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16354" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16355" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16356" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-16357" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16358" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16359" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16360" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-16361" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16362" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-16363" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-16364" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16365" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16366" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-16367"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16368" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-16369" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16370" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(33.3px 19360px 54.9px -9px); top: 1.2px; left: 0px;"><span class="mtd" id="MathJax-Span-16371"><span class="mrow" id="MathJax-Span-16372"><span class="mspace" id="MathJax-Span-16373" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-16374" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-16375" style="font-family: STIXGeneral-Italic; padding-left: 6px;">i</span><span class="mi" id="MathJax-Span-16376" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-16377"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.3px -8.6px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16378" style="font-family: STIXGeneral-Italic;">v</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-16379" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16380" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⪯</span><span class="mi" id="MathJax-Span-16381" style="font-family: STIXGeneral-Italic; padding-left: 6px;">i</span><span class="mi" id="MathJax-Span-16382" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-16383"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.3px -8.6px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16384" style="font-family: STIXGeneral-Italic;">v</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-16385" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 85px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 71.6px; vertical-align: -55.1px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-593">\begin{array}[t]{l}
+<div class="constraint" number="46" id="specialization-invalidation-ordering"><div class="ruleTitle"><a href="#specialization-invalidation-ordering" class="internalDFN">Constraint 46 (specialization-invalidation-ordering)</a></div><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-593-Frame" class="MathJax"><nobr><span id="MathJax-Span-16196" class="math"><span style="display: inline-block; position: relative; width: 803px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.014em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-16197" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-16198" class="mtable"><span style="display: inline-block; position: relative; width: 46.554em; height: 0px;"><span style="position: absolute; clip: rect(3.544em, 1000em, 7.3em, -0.526em); top: -4.381em; left: 0em;"><span style="display: inline-block; position: relative; width: 46.554em; height: 0px;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.895em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-16199" class="mtd"><span id="MathJax-Span-16200" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-16201" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16202" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16203" class="mi">n</span><span id="MathJax-Span-16204" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.763em, -0.506em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16205" class="mi">v</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16206" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16207" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-16208" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16209" class="mi">n</span><span id="MathJax-Span-16210" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.763em, -0.506em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16211" class="mi">v</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16212" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16213" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-16214" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16215" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16216" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16217" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-16218" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16219" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16220" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16221" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-16222" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16223" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16224" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16225" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-16226" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16227" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16228" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16229" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-16230" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16231" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16232" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16233" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-16234" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16235" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16236" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16237" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-16238" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16239" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16240" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16241" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-16242" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16243" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16244" class="mn">1</span><span style="display: inline-block; 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width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16281" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16282" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-16283" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-16284" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16285" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16286" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16287" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="font-family: STIXGeneral; 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height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16340" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16341" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16342" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16343" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-16344" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16345" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16346" class="mi">n</span><span id="MathJax-Span-16347" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.763em, -0.506em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16348" class="mi">v</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16349" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16350" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-16351" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16352" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16353" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16354" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-16355" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16356" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16357" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16358" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-16359" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16360" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16361" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16362" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-16363" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16364" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16365" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16366" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-16367" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16368" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16369" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16370" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.741em, 1000em, 2.895em, -0.526em); top: 0.024em; left: 0em;"><span id="MathJax-Span-16371" class="mtd"><span id="MathJax-Span-16372" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-16373" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16374" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-16375" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16376" class="mi">n</span><span id="MathJax-Span-16377" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.763em, -0.506em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16378" class="mi">v</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16379" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-16380" class="mo">⪯</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-16381" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16382" class="mi">n</span><span id="MathJax-Span-16383" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.763em, -0.506em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16384" class="mi">v</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16385" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.381em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 3.971em; vertical-align: -3.052em;"></span></span></nobr></span><script id="MathJax-Element-593" type="math/tex">\begin{array}[t]{l}
 \forall inv_1,inv_2,e_1,e_2,a_1,a_2,t_1,t_2,attrs_1,attrs_2.~
 \\
 \qquad specializationOf(e_1,e_2) \wedge wasInvalidatedBy(inv_1,e_1,a_1,t_1,attrs_1) \wedge wasInvalidatedBy(inv_2,e_2,a_2,t_2,attrs_2)
@@ -2620,28 +2620,28 @@
 \quad\Rightarrow
 inv_1 \preceq inv_2
 \end{array}</script></div>
-<div class="constraint" number="47" id="wasAssociatedWith-ordering"><div class="ruleTitle"><a class="internalDFN" href="#wasAssociatedWith-ordering">Constraint 47 (wasAssociatedWith-ordering)</a></div><p>In the following inferences, <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-594-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-16386"><span style="display: inline-block; position: relative; width: 15px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -10.5px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-16387"><span class="mi" id="MathJax-Span-16388" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-16389" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-594">pl</script> may be a placeholder -.</p><ol><li><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-595-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-16390"><span style="display: inline-block; position: relative; width: 1020px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 99.2px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-16391"><span class="mtable" id="MathJax-Span-16392" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 1014px; height: 0px;"><span style="position: absolute; clip: rect(70.2px 19360px 143.2px -9px); top: -86px; left: 0px;"><span style="display: inline-block; position: relative; width: 1014px; height: 0px;"><span style="position: absolute; clip: rect(32.2px 19360px 55px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-16393"><span class="mrow" id="MathJax-Span-16394"><span class="mi" id="MathJax-Span-16395" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-16396" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-16397" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-16398" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-16399" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-16400" style="font-family: STIXGeneral-Italic;">c</span><span class="mo" id="MathJax-Span-16401" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-16402" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">s</span><span class="mi" id="MathJax-Span-16403" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16404" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-16405" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-16406"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16407" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-16408" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16409" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-16410" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">i</span><span class="mi" id="MathJax-Span-16411" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-16412"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.3px -8.6px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16413" style="font-family: STIXGeneral-Italic;">v</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-16414" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16415" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-16416" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-16417" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-16418" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16419" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16420" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-16421" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16422" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16423" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16424" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-16425" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16426" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16427" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16428" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-16429" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16430" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16431" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16432" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-16433" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16434" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16435" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16436" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-16437" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16438" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16439" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16440" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-16441" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16442" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-16443" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-16444" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16445" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16446" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-16447"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16448" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-16449" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16450" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-16451" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-16452" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16453" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16454" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-16455"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16456" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-16457" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16458" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-16459" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -22.1px; left: 0px;"><span class="mtd" id="MathJax-Span-16460"><span class="mrow" id="MathJax-Span-16461"><span class="mspace" id="MathJax-Span-16462" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-16463" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-16464" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-16465" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-16466" style="font-family: STIXGeneral-Italic;">A</span><span class="mi" id="MathJax-Span-16467" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-16468" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-16469" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-16470" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-16471" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-16472" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-16473" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; 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padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-16488" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-16489" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-16490" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-16491" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-16492" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">p</span><span class="mi" id="MathJax-Span-16493" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mo" id="MathJax-Span-16494" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-16495" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-16496" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; 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overflow: hidden; height: 1px; width: 0.2px;"></span></span><span class="mi" id="MathJax-Span-16506" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16507" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-16508" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-16509" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16510" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-16511" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-16512" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-16513" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-16514" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-16515" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-16516" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; 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width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16522" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-16523" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-16524" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16525" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16526" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-16527" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16528" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16529" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16530" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-16531" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16532" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16533" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16534" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; 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padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-16547" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-16548" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-16549" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span class="mi" id="MathJax-Span-16550" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-16551" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-16552" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-16553" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-16554" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-16555" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-16556" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-16557" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16558" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-16559" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-16560" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-16561" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-16562" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-16563" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-16564" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-16565"><span style="display: inline-block; 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position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16573" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-16574" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16575" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16576" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16577" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; 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overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-16598" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16599" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⪯</span><span class="mi" id="MathJax-Span-16600" style="font-family: STIXGeneral-Italic; padding-left: 6px;">i</span><span class="mi" id="MathJax-Span-16601" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-16602"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.3px -8.6px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16603" style="font-family: STIXGeneral-Italic;">v</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-16604" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 86px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 72.6px; vertical-align: -56.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-595">\begin{array}[t]{l}
+<div class="constraint" number="47" id="wasAssociatedWith-ordering"><div class="ruleTitle"><a href="#wasAssociatedWith-ordering" class="internalDFN">Constraint 47 (wasAssociatedWith-ordering)</a></div><p>In the following inferences, <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-594-Frame" class="MathJax"><nobr><span id="MathJax-Span-16386" class="math"><span style="display: inline-block; position: relative; width: 13px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.601em); top: -2.57em; left: 0em;"><span id="MathJax-Span-16387" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16388" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16389" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.075em; vertical-align: -0.282em;"></span></span></nobr></span><script id="MathJax-Element-594" type="math/tex">pl</script> may be a placeholder -.</p><ol><li><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-595-Frame" class="MathJax"><nobr><span id="MathJax-Span-16390" class="math"><span style="display: inline-block; position: relative; width: 925px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.069em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-16391" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-16392" class="mtable"><span style="display: inline-block; position: relative; width: 53.68em; height: 0px;"><span style="position: absolute; clip: rect(3.602em, 1000em, 7.413em, -0.526em); top: -4.439em; left: 0em;"><span style="display: inline-block; position: relative; width: 53.68em; height: 0px;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.951em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-16393" class="mtd"><span id="MathJax-Span-16394" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-16395" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16396" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16397" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16398" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16399" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16400" class="mi">c</span><span style="font-family: STIXGeneral;" id="MathJax-Span-16401" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-16402" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16403" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16404" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16405" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-16406" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16407" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16408" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16409" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-16410" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16411" class="mi">n</span><span id="MathJax-Span-16412" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.763em, -0.506em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16413" class="mi">v</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16414" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16415" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-16416" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16417" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-16418" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-16419" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16420" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16421" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16422" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-16423" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16424" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16425" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16426" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-16427" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16428" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16429" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16430" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-16431" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16432" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16433" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16434" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-16435" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16436" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16437" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16438" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-16439" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16440" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16441" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16442" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-16443" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16444" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16445" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16446" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-16447" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16448" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16449" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16450" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-16451" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16452" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16453" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16454" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-16455" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16456" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16457" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16458" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-16459" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: -1.231em; left: 0em;"><span id="MathJax-Span-16460" class="mtd"><span id="MathJax-Span-16461" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-16462" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16463" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16464" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16465" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16466" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16467" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16468" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16469" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16470" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16471" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16472" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16473" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16474" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16475" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16476" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16477" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16478" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16479" class="mi">h</span><span style="font-family: STIXGeneral;" id="MathJax-Span-16480" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16481" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16482" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16483" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16484" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16485" class="mi">c</span><span style="font-family: STIXGeneral;" id="MathJax-Span-16486" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-16487" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-16488" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-16489" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16490" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-16491" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-16492" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16493" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16494" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-16495" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16496" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16497" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16498" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16499" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-16500" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-16501" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-16502" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16503" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16504" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16505" class="mi">S<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.008em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16506" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16507" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16508" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16509" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16510" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16511" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16512" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16513" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-16514" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16515" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16516" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16517" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16518" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-16519" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16520" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16521" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16522" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-16523" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-16524" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-16525" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16526" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16527" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16528" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-16529" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16530" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16531" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16532" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-16533" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16534" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16535" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16536" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-16537" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16538" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16539" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16540" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-16541" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16542" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16543" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16544" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-16545" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-16546" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16547" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16548" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16549" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16550" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16551" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16552" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16553" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16554" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16555" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16556" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16557" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16558" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16559" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16560" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16561" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-16562" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16563" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16564" class="mi">n</span><span id="MathJax-Span-16565" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.763em, -0.506em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16566" class="mi">v</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16567" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16568" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-16569" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16570" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-16571" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-16572" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16573" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16574" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16575" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-16576" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16577" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16578" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16579" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-16580" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16581" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16582" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16583" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-16584" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16585" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16586" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16587" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.741em, 1000em, 2.895em, -0.526em); top: 0.079em; left: 0em;"><span id="MathJax-Span-16588" class="mtd"><span id="MathJax-Span-16589" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-16590" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16591" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-16592" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16593" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16594" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16595" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-16596" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16597" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16598" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-16599" class="mo">⪯</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-16600" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16601" class="mi">n</span><span id="MathJax-Span-16602" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.763em, -0.506em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16603" class="mi">v</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16604" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.439em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 4.029em; vertical-align: -3.111em;"></span></span></nobr></span><script id="MathJax-Element-595" type="math/tex">\begin{array}[t]{l}
 \forall assoc,start_1,inv_2,ag,e_1,e_2,a_1,a_2,t_1,t_2,attrs_1,attrs_2.~
 \\
 \qquad wasAssociatedWith(assoc,a,ag,pl,attrs) \wedge wasStartedBy(start_1,a,e_1,a_1,t_1,attrs_1) \wedge wasInvalidatedBy(inv_2,ag,a_2,t_2,attrs_2)
 \\
 \quad\Rightarrow
 start_1 \preceq inv_2
-\end{array}</script></li><li><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-596-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-16605"><span style="display: inline-block; position: relative; width: 1005px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 99.8px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-16606"><span class="mtable" id="MathJax-Span-16607" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 999px; height: 0px;"><span style="position: absolute; clip: rect(71.8px 19360px 146.8px -9px); top: -88px; left: 0px;"><span style="display: inline-block; position: relative; width: 999px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-16608"><span class="mrow" id="MathJax-Span-16609"><span class="mi" id="MathJax-Span-16610" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-16611" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-16612" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-16613" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-16614" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-16615" style="font-family: STIXGeneral-Italic;">c</span><span class="mo" id="MathJax-Span-16616" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-16617" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">g</span><span class="mi" id="MathJax-Span-16618" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-16619"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16620" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-16621" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16622" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-16623" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mi" id="MathJax-Span-16624" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-16625"><span style="display: inline-block; position: relative; width: 18.9px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16626" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10.5px;"><span class="mn" id="MathJax-Span-16627" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16628" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-16629" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-16630" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-16631" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16632" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16633" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-16634" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16635" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16636" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16637" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-16638" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16639" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16640" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16641" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-16642" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16643" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16644" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16645" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-16646" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16647" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16648" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16649" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-16650" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16651" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16652" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16653" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-16654" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16655" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-16656" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-16657" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16658" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16659" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-16660"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16661" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-16662" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16663" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-16664" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-16665" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16666" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16667" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-16668"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16669" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-16670" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16671" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-16672" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -22.1px; left: 0px;"><span class="mtd" id="MathJax-Span-16673"><span class="mrow" id="MathJax-Span-16674"><span class="mspace" id="MathJax-Span-16675" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-16676" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-16677" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-16678" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-16679" style="font-family: STIXGeneral-Italic;">A</span><span class="mi" id="MathJax-Span-16680" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-16681" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-16682" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-16683" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-16684" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-16685" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-16686" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16687" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-16688" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-16689" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mi" id="MathJax-Span-16690" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-16691" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16692" style="font-family: STIXGeneral-Italic;">h</span><span class="mo" id="MathJax-Span-16693" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-16694" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-16695" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-16696" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-16697" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-16698" style="font-family: STIXGeneral-Italic;">c</span><span class="mo" id="MathJax-Span-16699" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-16700" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-16701" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-16702" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-16703" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-16704" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-16705" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">p</span><span class="mi" id="MathJax-Span-16706" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mo" id="MathJax-Span-16707" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-16708" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-16709" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16710" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16711" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-16712" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-16713" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-16714" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-16715" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-16716" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-16717" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-16718" style="font-family: STIXGeneral-Italic;">G</span><span class="mi" id="MathJax-Span-16719" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-16720" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-16721" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-16722" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-16723" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-16724" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16725" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-16726" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-16727" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-16728" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-16729" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-16730" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-16731" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-16732"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16733" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-16734" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16735" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-16736" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-16737" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-16738" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16739" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16740" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-16741" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16742" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16743" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16744" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-16745" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16746" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-16747" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-16748" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16749" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16750" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-16751"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16752" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-16753" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16754" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-16755" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-16756" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-16757" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-16758" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-16759" style="font-family: STIXGeneral-Italic;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-16760" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-16761" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-16762" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-16763" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-16764" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-16765" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-16766" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-16767" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-16768" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-16769"><span style="display: inline-block; position: relative; width: 18.9px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16770" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10.5px;"><span class="mn" id="MathJax-Span-16771" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16772" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-16773" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-16774" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16775" style="padding-left: 3.6px;"><span style="display: inline-block; 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width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-16781" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16782" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16783" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16784" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-16785" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16786" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-16787" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-16788" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16789" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16790" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-16791"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; 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width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16643" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-16644" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16645" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16646" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16647" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-16648" class="msubsup"><span style="display: inline-block; 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width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16670" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16671" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-16672" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: -1.231em; left: 0em;"><span id="MathJax-Span-16673" class="mtd"><span id="MathJax-Span-16674" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-16675" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16676" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16677" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16678" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16679" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16680" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16681" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16682" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16683" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16684" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16685" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16686" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16687" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16688" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16689" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16690" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16691" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16692" class="mi">h</span><span style="font-family: STIXGeneral;" id="MathJax-Span-16693" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16694" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16695" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16696" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16697" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16698" class="mi">c</span><span style="font-family: STIXGeneral;" id="MathJax-Span-16699" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-16700" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-16701" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-16702" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16703" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-16704" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-16705" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16706" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16707" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-16708" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16709" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16710" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16711" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16712" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-16713" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-16714" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-16715" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16716" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16717" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16718" class="mi">G</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16719" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16720" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16721" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16722" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16723" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16724" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16725" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16726" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16727" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16728" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-16729" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16730" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16731" class="mi">e</span><span id="MathJax-Span-16732" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.754em, -0.512em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16733" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16734" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16735" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-16736" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16737" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-16738" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-16739" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16740" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16741" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16742" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-16743" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16744" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16745" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16746" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-16747" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16748" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16749" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16750" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-16751" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16752" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16753" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16754" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-16755" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-16756" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16757" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16758" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16759" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16760" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16761" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16762" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16763" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16764" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16765" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-16766" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16767" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16768" class="mi">n</span><span id="MathJax-Span-16769" class="msubsup"><span style="display: inline-block; position: relative; width: 0.924em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.511em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16770" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.499em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16771" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16772" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-16773" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-16774" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-16775" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16776" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16777" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16778" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-16779" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16780" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16781" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16782" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-16783" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16784" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16785" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16786" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-16787" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16788" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16789" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16790" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-16791" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16792" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16793" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16794" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: 0.108em; left: 0em;"><span id="MathJax-Span-16795" class="mtd"><span id="MathJax-Span-16796" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-16797" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16798" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-16799" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16800" class="mi">e</span><span id="MathJax-Span-16801" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.754em, -0.512em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16802" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16803" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-16804" class="mo">⪯</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-16805" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16806" class="mi">n</span><span id="MathJax-Span-16807" class="msubsup"><span style="display: inline-block; position: relative; width: 0.924em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.511em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16808" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.499em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16809" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.556em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 4.067em; vertical-align: -3.148em;"></span></span></nobr></span><script id="MathJax-Element-596" type="math/tex">\begin{array}[t]{l}
 \forall assoc,gen_1,end_2,ag,e_1,e_2,a_1,a_2,t_1,t_2,attrs_1,attrs_2.~
 \\
 \qquad wasAssociatedWith(assoc,a,ag,pl,attrs) \wedge wasGeneratedBy(gen_1,ag,a_1,t_1,attrs_1) \wedge wasEndedBy(end_2,a,e_2,a_2,t_2,attrs_2)
 \\
 \quad\Rightarrow
 gen_1 \preceq end_2
-\end{array}</script></li><li><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-597-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-16810"><span style="display: inline-block; position: relative; width: 1012px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 99.7px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-16811"><span class="mtable" id="MathJax-Span-16812" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 1006px; height: 0px;"><span style="position: absolute; clip: rect(70.8px 19360px 144.8px -9px); top: -87px; left: 0px;"><span style="display: inline-block; position: relative; width: 1006px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-16813"><span class="mrow" id="MathJax-Span-16814"><span class="mi" id="MathJax-Span-16815" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-16816" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-16817" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-16818" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-16819" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-16820" style="font-family: STIXGeneral-Italic;">c</span><span class="mo" id="MathJax-Span-16821" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-16822" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">s</span><span class="mi" id="MathJax-Span-16823" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16824" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-16825" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-16826"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16827" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-16828" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16829" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-16830" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mi" id="MathJax-Span-16831" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-16832"><span style="display: inline-block; position: relative; width: 18.9px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16833" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10.5px;"><span class="mn" id="MathJax-Span-16834" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16835" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-16836" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-16837" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-16838" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16839" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16840" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-16841" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16842" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16843" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16844" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-16845" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16846" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16847" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16848" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-16849" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16850" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16851" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16852" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-16853" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16854" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16855" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16856" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-16857" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16858" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16859" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16860" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-16861" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16862" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-16863" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-16864" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16865" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16866" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-16867"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16868" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-16869" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16870" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-16871" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-16872" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16873" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16874" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-16875"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16876" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-16877" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16878" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-16879" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -22.1px; left: 0px;"><span class="mtd" id="MathJax-Span-16880"><span class="mrow" id="MathJax-Span-16881"><span class="mspace" id="MathJax-Span-16882" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-16883" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-16884" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-16885" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-16886" style="font-family: STIXGeneral-Italic;">A</span><span class="mi" id="MathJax-Span-16887" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-16888" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-16889" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-16890" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-16891" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-16892" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-16893" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16894" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-16895" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-16896" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mi" id="MathJax-Span-16897" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-16898" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16899" style="font-family: STIXGeneral-Italic;">h</span><span class="mo" id="MathJax-Span-16900" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-16901" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-16902" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-16903" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-16904" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-16905" style="font-family: STIXGeneral-Italic;">c</span><span class="mo" id="MathJax-Span-16906" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-16907" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-16908" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-16909" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-16910" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-16911" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-16912" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">p</span><span class="mi" id="MathJax-Span-16913" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mo" id="MathJax-Span-16914" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-16915" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-16916" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16917" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16918" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-16919" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-16920" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-16921" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-16922" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-16923" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-16924" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-16925" style="font-family: STIXGeneral-Italic;">S<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.2px;"></span></span><span class="mi" id="MathJax-Span-16926" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16927" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-16928" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-16929" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16930" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-16931" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-16932" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-16933" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-16934" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-16935" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-16936" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16937" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-16938" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-16939"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16940" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-16941" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16942" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-16943" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-16944" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16945" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16946" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-16947" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16948" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16949" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16950" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-16951" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16952" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16953" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16954" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-16955" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16956" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-16957" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-16958" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16959" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-16960" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-16961"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16962" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-16963" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16964" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-16965" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-16966" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-16967" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-16968" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-16969" style="font-family: STIXGeneral-Italic;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-16970" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-16971" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-16972" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-16973" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-16974" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-16975" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-16976" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-16977" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-16978" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-16979"><span style="display: inline-block; position: relative; width: 18.9px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16980" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10.5px;"><span class="mn" id="MathJax-Span-16981" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16982" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-16983" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-16984" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-16985" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16986" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16987" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-16988" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16989" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16990" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16991" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-16992" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16993" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-16994" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-16995" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-16996" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-16997" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-16998" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-16999" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17000" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17001" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-17002"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; 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padding-left: 6px;">s</span><span class="mi" id="MathJax-Span-17011" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17012" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-17013" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-17014"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17015" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-17016" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17017" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⪯</span><span class="mi" id="MathJax-Span-17018" style="font-family: STIXGeneral-Italic; padding-left: 6px;">e</span><span class="mi" id="MathJax-Span-17019" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-17020"><span style="display: inline-block; position: relative; width: 18.9px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17021" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10.5px;"><span class="mn" id="MathJax-Span-17022" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 87px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 73.2px; vertical-align: -56.7px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-597">\begin{array}[t]{l}
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font-style: italic;" id="MathJax-Span-16816" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16817" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16818" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16819" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16820" class="mi">c</span><span style="font-family: STIXGeneral;" id="MathJax-Span-16821" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-16822" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16823" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16824" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16825" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-16826" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16827" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16828" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16829" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-16830" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16831" class="mi">n</span><span id="MathJax-Span-16832" class="msubsup"><span style="display: inline-block; position: relative; width: 0.924em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.511em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16833" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.499em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16834" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16835" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-16836" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16837" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-16838" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-16839" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16840" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16841" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16842" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-16843" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16844" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16845" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16846" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-16847" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16848" class="mi">a</span><span style="display: inline-block; 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font-style: italic;" id="MathJax-Span-16977" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16978" class="mi">n</span><span id="MathJax-Span-16979" class="msubsup"><span style="display: inline-block; position: relative; width: 0.924em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.511em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16980" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.499em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16981" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16982" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-16983" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16984" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-16985" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-16986" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16987" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16988" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16989" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-16990" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16991" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16992" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16993" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-16994" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16995" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-16996" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-16997" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-16998" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-16999" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17000" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17001" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-17002" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17003" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17004" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17005" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.895em, -0.526em); top: 0.108em; left: 0em;"><span id="MathJax-Span-17006" class="mtd"><span id="MathJax-Span-17007" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-17008" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17009" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-17010" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17011" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17012" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17013" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-17014" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17015" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17016" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-17017" class="mo">⪯</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-17018" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17019" class="mi">n</span><span id="MathJax-Span-17020" class="msubsup"><span style="display: inline-block; position: relative; width: 0.924em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.511em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17021" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.499em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17022" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.498em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 4.06em; vertical-align: -3.142em;"></span></span></nobr></span><script id="MathJax-Element-597" type="math/tex">\begin{array}[t]{l}
 \forall assoc,start_1,end_2,ag,e_1,e_2,a_1,a_2,t_1,t_2,attrs_1,attrs_2.~
 \\
 \qquad wasAssociatedWith(assoc,a,ag,pl,attrs) \wedge wasStartedBy(start_1,a,e_1,a_1,t_1,attrs_1) \wedge wasEndedBy(end_2,ag,e_2,a_2,t_2,attrs_2)
 \\
 \quad\Rightarrow
 start_1 \preceq end_2
-\end{array}</script></li><li><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-598-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-17023"><span style="display: inline-block; position: relative; width: 1012px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 99.7px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-17024"><span class="mtable" id="MathJax-Span-17025" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 1006px; height: 0px;"><span style="position: absolute; clip: rect(70.8px 19360px 144.8px -9px); top: -87px; left: 0px;"><span style="display: inline-block; position: relative; width: 1006px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-17026"><span class="mrow" id="MathJax-Span-17027"><span class="mi" id="MathJax-Span-17028" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-17029" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-17030" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-17031" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-17032" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-17033" style="font-family: STIXGeneral-Italic;">c</span><span class="mo" id="MathJax-Span-17034" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17035" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">s</span><span class="mi" id="MathJax-Span-17036" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17037" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-17038" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-17039"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17040" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-17041" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17042" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17043" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mi" id="MathJax-Span-17044" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-17045"><span style="display: inline-block; position: relative; width: 18.9px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17046" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10.5px;"><span class="mn" id="MathJax-Span-17047" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17048" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17049" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-17050" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-17051" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-17052" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17053" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-17054" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17055" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-17056" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17057" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-17058" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17059" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-17060" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17061" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-17062" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17063" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-17064" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17065" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-17066" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17067" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-17068" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17069" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-17070" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17071" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-17072" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17073" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-17074" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17075" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17076" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-17077" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17078" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17079" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-17080"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17081" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-17082" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17083" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17084" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-17085" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17086" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17087" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-17088"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17089" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-17090" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17091" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-17092" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -22.1px; left: 0px;"><span class="mtd" id="MathJax-Span-17093"><span class="mrow" id="MathJax-Span-17094"><span class="mspace" id="MathJax-Span-17095" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-17096" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-17097" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-17098" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-17099" style="font-family: STIXGeneral-Italic;">A</span><span class="mi" id="MathJax-Span-17100" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-17101" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-17102" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-17103" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-17104" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-17105" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-17106" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; 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width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17162" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-17163" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17164" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-17165" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17166" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-17167" style="padding-left: 3.6px;"><span style="display: inline-block; 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width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17178" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-17179" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-17180" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-17181" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-17182" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-17183" style="font-family: STIXGeneral-Italic;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-17184" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-17185" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-17186" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-17187" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; 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vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-17095" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17096" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17097" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17098" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17099" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17100" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17101" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17102" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17103" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17104" class="mi">i</span><span style="font-family: STIXGeneral; 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overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17145" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17146" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-17147" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17148" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17149" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17150" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17151" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-17152" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17153" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17154" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17155" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-17156" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17157" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-17158" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-17159" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17160" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17161" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17162" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-17163" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17164" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17165" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17166" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-17167" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17168" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17169" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17170" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-17171" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17172" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17173" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17174" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-17175" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17176" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17177" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17178" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-17179" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-17180" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17181" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17182" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17183" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17184" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17185" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17186" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17187" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17188" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17189" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-17190" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17191" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17192" class="mi">n</span><span id="MathJax-Span-17193" class="msubsup"><span style="display: inline-block; position: relative; width: 0.924em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.511em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17194" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.499em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17195" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17196" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-17197" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-17198" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-17199" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17200" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17201" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17202" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-17203" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17204" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17205" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17206" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-17207" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17208" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17209" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17210" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-17211" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17212" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17213" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17214" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-17215" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17216" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17217" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17218" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.895em, -0.526em); top: 0.108em; left: 0em;"><span id="MathJax-Span-17219" class="mtd"><span id="MathJax-Span-17220" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-17221" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17222" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-17223" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17224" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17225" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17226" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-17227" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17228" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17229" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-17230" class="mo">⪯</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-17231" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17232" class="mi">n</span><span id="MathJax-Span-17233" class="msubsup"><span style="display: inline-block; position: relative; width: 0.924em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.511em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17234" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.499em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17235" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.498em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 4.06em; vertical-align: -3.142em;"></span></span></nobr></span><script id="MathJax-Element-598" type="math/tex">\begin{array}[t]{l}
 \forall assoc,start_1,end_2,ag,e_1,e_2,a_1,a_2,t_1,t_2,attrs_1,attrs_2.~
 \\
 \qquad wasAssociatedWith(assoc,a,ag,pl,attrs) \wedge wasStartedBy(start_1,ag,e_1,a_1,t_1,attrs_1) \wedge wasEndedBy(end_2,a,e_2,a_2,t_2,attrs_2)
@@ -2649,14 +2649,14 @@
 \quad\Rightarrow
 start_1 \preceq end_2
 \end{array}</script></li></ol></div>
-<div class="constraint" number="48" id="wasAttributedTo-ordering"><div class="ruleTitle"><a class="internalDFN" href="#wasAttributedTo-ordering">Constraint 48 (wasAttributedTo-ordering)</a></div><ol><li><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-599-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-17236"><span style="display: inline-block; position: relative; width: 942px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 98.4px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-17237"><span class="mtable" id="MathJax-Span-17238" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 936px; height: 0px;"><span style="position: absolute; clip: rect(71.2px 19360px 144.4px -9px); top: -87px; left: 0px;"><span style="display: inline-block; position: relative; width: 936px; height: 0px;"><span style="position: absolute; clip: rect(32.2px 19360px 55px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-17239"><span class="mrow" id="MathJax-Span-17240"><span class="mi" id="MathJax-Span-17241" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-17242" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-17243" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17244" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-17245" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17246" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">g</span><span class="mi" id="MathJax-Span-17247" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-17248"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17249" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-17250" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17251" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17252" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">g</span><span class="mi" id="MathJax-Span-17253" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-17254"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17255" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-17256" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17257" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17258" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-17259" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-17260" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17261" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-17262" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17263" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-17264" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17265" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-17266" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17267" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-17268" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17269" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-17270" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17271" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-17272" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17273" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-17274" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17275" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17276" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-17277" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-17278" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17279" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-17280" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17281" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17282" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-17283" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-17284" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17285" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-17286" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17287" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17288" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-17289"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17290" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-17291" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17292" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17293" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-17294" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17295" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17296" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-17297"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17298" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-17299" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17300" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-17301" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -22.1px; left: 0px;"><span class="mtd" id="MathJax-Span-17302"><span class="mrow" id="MathJax-Span-17303"><span class="mspace" id="MathJax-Span-17304" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-17305" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-17306" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-17307" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-17308" style="font-family: STIXGeneral-Italic;">A</span><span class="mi" id="MathJax-Span-17309" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17310" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17311" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-17312" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-17313" style="font-family: STIXGeneral-Italic;">b</span><span class="mi" id="MathJax-Span-17314" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-17315" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17316" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-17317" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-17318" style="font-family: STIXGeneral-Italic;">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.5px;"></span></span><span class="mi" id="MathJax-Span-17319" style="font-family: STIXGeneral-Italic;">o</span><span class="mo" id="MathJax-Span-17320" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-17321" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-17322" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17323" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-17324" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17325" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-17326" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17327" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-17328" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-17329" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17330" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-17331" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17332" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17333" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-17334" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-17335" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-17336" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-17337" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-17338" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-17339" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-17340" style="font-family: STIXGeneral-Italic;">G</span><span class="mi" id="MathJax-Span-17341" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-17342" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-17343" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-17344" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-17345" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-17346" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17347" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-17348" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-17349" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-17350" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-17351" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-17352" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-17353" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-17354"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17355" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-17356" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17357" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17358" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-17359" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-17360" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-17361" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17362" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-17363" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17364" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-17365" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17366" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-17367" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17368" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17369" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-17370" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17371" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17372" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-17373"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17374" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-17375" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17376" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-17377" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-17378" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-17379" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-17380" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-17381" style="font-family: STIXGeneral-Italic;">G</span><span class="mi" id="MathJax-Span-17382" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-17383" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-17384" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-17385" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-17386" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-17387" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17388" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-17389" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-17390" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-17391" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-17392" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-17393" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-17394" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-17395"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17396" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-17397" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17398" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17399" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-17400" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-17401" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17402" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-17403" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17404" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-17405" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17406" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-17407" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17408" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17409" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-17410" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17411" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17412" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-17413"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17414" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-17415" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17416" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(34.2px 19360px 56px -9px); top: 1.4px; left: 0px;"><span class="mtd" id="MathJax-Span-17417"><span class="mrow" id="MathJax-Span-17418"><span class="mspace" id="MathJax-Span-17419" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-17420" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-17421" style="font-family: STIXGeneral-Italic; padding-left: 6px;">g</span><span class="mi" id="MathJax-Span-17422" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-17423"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17424" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-17425" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17426" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⪯</span><span class="mi" id="MathJax-Span-17427" style="font-family: STIXGeneral-Italic; padding-left: 6px;">g</span><span class="mi" id="MathJax-Span-17428" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-17429"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17430" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-17431" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 87px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 71.9px; vertical-align: -55.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-599">\begin{array}[t]{l}
+<div class="constraint" number="48" id="wasAttributedTo-ordering"><div class="ruleTitle"><a href="#wasAttributedTo-ordering" class="internalDFN">Constraint 48 (wasAttributedTo-ordering)</a></div><ol><li><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-599-Frame" class="MathJax"><nobr><span id="MathJax-Span-17236" class="math"><span style="display: inline-block; position: relative; width: 853px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.03em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-17237" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-17238" class="mtable"><span style="display: inline-block; position: relative; width: 49.474em; height: 0px;"><span style="position: absolute; clip: rect(3.66em, 1000em, 7.483em, -0.526em); top: -4.498em; left: 0em;"><span style="display: inline-block; position: relative; width: 49.474em; height: 0px;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.951em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-17239" class="mtd"><span id="MathJax-Span-17240" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-17241" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17242" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17243" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17244" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17245" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-17246" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17247" class="mi">e</span><span id="MathJax-Span-17248" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.754em, -0.512em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17249" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17250" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17251" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-17252" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17253" class="mi">e</span><span id="MathJax-Span-17254" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.754em, -0.512em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17255" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17256" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17257" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-17258" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-17259" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-17260" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17261" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17262" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17263" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-17264" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17265" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17266" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17267" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-17268" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17269" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17270" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17271" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-17272" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17273" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17274" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17275" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-17276" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17277" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-17278" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-17279" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17280" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17281" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17282" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17283" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-17284" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-17285" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17286" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17287" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17288" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-17289" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17290" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17291" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17292" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-17293" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17294" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17295" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17296" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-17297" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17298" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17299" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17300" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-17301" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: -1.231em; left: 0em;"><span id="MathJax-Span-17302" class="mtd"><span id="MathJax-Span-17303" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-17304" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17305" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17306" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17307" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17308" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17309" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17310" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17311" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17312" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17313" class="mi">b</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17314" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17315" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17316" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17317" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17318" class="mi">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.077em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17319" class="mi">o</span><span style="font-family: STIXGeneral;" id="MathJax-Span-17320" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17321" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17322" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17323" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17324" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-17325" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-17326" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-17327" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17328" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-17329" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-17330" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17331" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17332" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; 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font-style: italic;" id="MathJax-Span-17342" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17343" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17344" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17345" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17346" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17347" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17348" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17349" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17350" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-17351" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17352" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17353" class="mi">e</span><span id="MathJax-Span-17354" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.754em, -0.512em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17355" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17356" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17357" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-17358" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17359" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-17360" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-17361" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17362" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17363" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17364" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-17365" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17366" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17367" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17368" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-17369" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17370" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17371" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17372" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-17373" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17374" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17375" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17376" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-17377" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-17378" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17379" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17380" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17381" class="mi">G</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17382" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17383" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17384" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17385" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17386" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17387" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17388" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17389" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17390" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17391" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-17392" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17393" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17394" class="mi">e</span><span id="MathJax-Span-17395" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.754em, -0.512em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17396" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17397" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17398" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-17399" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-17400" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-17401" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17402" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17403" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17404" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-17405" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17406" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17407" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17408" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-17409" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17410" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17411" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17412" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-17413" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17414" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17415" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17416" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.786em, 1000em, 2.951em, -0.526em); top: 0.034em; left: 0em;"><span id="MathJax-Span-17417" class="mtd"><span id="MathJax-Span-17418" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-17419" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17420" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-17421" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17422" class="mi">e</span><span id="MathJax-Span-17423" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.754em, -0.512em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17424" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17425" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-17426" class="mo">⪯</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-17427" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17428" class="mi">e</span><span id="MathJax-Span-17429" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.754em, -0.512em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17430" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17431" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.498em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 3.988em; vertical-align: -3.069em;"></span></span></nobr></span><script id="MathJax-Element-599" type="math/tex">\begin{array}[t]{l}
 \forall att,gen_1,gen_2,e,a_1,a_2,t_1,t_2,ag,attrs,attrs_1,attrs_2.~
 \\
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 \\
 \quad\Rightarrow
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height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17447" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-17448" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17449" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17450" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">g</span><span class="mi" id="MathJax-Span-17451" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-17452"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17453" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-17454" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17455" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17456" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-17457" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-17458" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17459" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-17460" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17461" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-17462" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17463" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-17464" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17465" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-17466" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17467" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-17468" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17469" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17470" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-17471" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-17472" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-17473" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17474" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-17475" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17476" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-17477" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17478" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-17479" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17480" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17481" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-17482" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17483" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17484" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-17485" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-17486" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17487" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-17488" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17489" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17490" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-17491"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17492" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-17493" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17494" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17495" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-17496" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17497" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17498" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-17499"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17500" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-17501" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17502" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-17503" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -22.1px; left: 0px;"><span class="mtd" id="MathJax-Span-17504"><span class="mrow" id="MathJax-Span-17505"><span class="mspace" id="MathJax-Span-17506" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-17507" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-17508" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-17509" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-17510" style="font-family: STIXGeneral-Italic;">A</span><span class="mi" id="MathJax-Span-17511" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17512" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17513" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-17514" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-17515" style="font-family: STIXGeneral-Italic;">b</span><span class="mi" id="MathJax-Span-17516" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-17517" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17518" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-17519" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-17520" style="font-family: STIXGeneral-Italic;">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.5px;"></span></span><span class="mi" id="MathJax-Span-17521" style="font-family: STIXGeneral-Italic;">o</span><span class="mo" id="MathJax-Span-17522" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-17523" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-17524" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17525" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-17526" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17527" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-17528" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17529" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-17530" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-17531" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17532" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-17533" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17534" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17535" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-17536" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-17537" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-17538" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-17539" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-17540" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-17541" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-17542" style="font-family: STIXGeneral-Italic;">S<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.2px;"></span></span><span class="mi" id="MathJax-Span-17543" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17544" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-17545" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-17546" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17547" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-17548" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-17549" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-17550" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-17551" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-17552" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-17553" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17554" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-17555" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-17556"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17557" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-17558" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17559" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17560" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-17561" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-17562" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-17563" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17564" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-17565" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17566" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-17567" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17568" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-17569" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17570" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-17571" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17572" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-17573" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17574" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17575" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-17576" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17577" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17578" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-17579"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17580" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-17581" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17582" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-17583" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-17584" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-17585" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-17586" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-17587" style="font-family: STIXGeneral-Italic;">G</span><span class="mi" id="MathJax-Span-17588" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-17589" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-17590" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-17591" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; 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vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-17626" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-17627" style="font-family: STIXGeneral-Italic; padding-left: 6px;">s</span><span class="mi" id="MathJax-Span-17628" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17629" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-17630" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-17631"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17632" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; 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position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17459" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17460" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17461" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-17462" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17463" class="mi">a</span><span style="display: inline-block; 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height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: -1.231em; left: 0em;"><span id="MathJax-Span-17504" class="mtd"><span id="MathJax-Span-17505" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-17506" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17507" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17508" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17509" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17510" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17511" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; 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position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17564" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17565" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17566" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-17567" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17568" class="mi">a</span><span style="display: inline-block; 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font-family: STIXGeneral;" id="MathJax-Span-17573" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17574" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-17575" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17576" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17577" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17578" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-17579" class="msubsup"><span style="display: inline-block; 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top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17613" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17614" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-17615" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17616" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17617" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17618" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-17619" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17620" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17621" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17622" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.786em, 1000em, 2.951em, -0.526em); top: 0.034em; left: 0em;"><span id="MathJax-Span-17623" class="mtd"><span id="MathJax-Span-17624" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-17625" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17626" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-17627" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17628" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17629" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17630" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-17631" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17632" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17633" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-17634" class="mo">⪯</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-17635" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17636" class="mi">e</span><span id="MathJax-Span-17637" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.754em, -0.512em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17638" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17639" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.498em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 3.988em; vertical-align: -3.069em;"></span></span></nobr></span><script id="MathJax-Element-600" type="math/tex">\begin{array}[t]{l}
 \forall att,start_1,gen_2,e,e_1,a_1,a_2,ag,t_1,t_2,attrs,attrs_1,attrs_2.~
 \\
 \qquad wasAttributedTo(att,e,ag,attrs) \wedge wasStartedBy(start_1,ag,e_1,a_1,t_1,attrs_1) \wedge wasGeneratedBy(gen_2,e,a_2,t_2,attrs_2)
@@ -2664,14 +2664,14 @@
 \quad\Rightarrow
 start_1 \preceq gen_2
 \end{array}</script></li></ol></div>
-<div class="constraint" number="49" id="actedOnBehalfOf-ordering"><div class="ruleTitle"><a class="internalDFN" href="#actedOnBehalfOf-ordering">Constraint 49 (actedOnBehalfOf-ordering)</a></div><ol><li><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-601-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-17640"><span style="display: inline-block; position: relative; width: 1034px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 100.6px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-17641"><span class="mtable" id="MathJax-Span-17642" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 1028px; height: 0px;"><span style="position: absolute; clip: rect(72.8px 19360px 148.6px -9px); top: -89px; left: 0px;"><span style="display: inline-block; position: relative; width: 1028px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 55.7px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-17643"><span class="mrow" id="MathJax-Span-17644"><span class="mi" id="MathJax-Span-17645" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-17646" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-17647" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-17648" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mo" id="MathJax-Span-17649" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17650" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">g</span><span class="mi" id="MathJax-Span-17651" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-17652"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17653" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-17654" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17655" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17656" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">i</span><span class="mi" id="MathJax-Span-17657" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-17658"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.3px -8.6px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17659" style="font-family: STIXGeneral-Italic;">v</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-17660" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17661" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17662" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="msubsup" id="MathJax-Span-17663"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17664" style="font-family: STIXGeneral-Italic;">g</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 10px;"><span class="mn" id="MathJax-Span-17665" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17666" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17667" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="msubsup" id="MathJax-Span-17668"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17669" style="font-family: STIXGeneral-Italic;">g</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 10px;"><span class="mn" id="MathJax-Span-17670" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17671" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17672" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-17673" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-17674" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17675" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-17676" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17677" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-17678" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17679" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-17680" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17681" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-17682" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17683" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-17684" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17685" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-17686" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17687" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-17688" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17689" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17690" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-17691" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17692" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17693" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-17694" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-17695" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17696" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-17697" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17698" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17699" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-17700"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17701" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-17702" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17703" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17704" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-17705" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17706" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17707" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-17708"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17709" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-17710" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17711" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-17712" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55.7px -9px); top: -21.4px; left: 0px;"><span class="mtd" id="MathJax-Span-17713"><span class="mrow" id="MathJax-Span-17714"><span class="mspace" id="MathJax-Span-17715" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-17716" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-17717" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-17718" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17719" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-17720" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-17721" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-17722" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-17723" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-17724" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-17725" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-17726" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-17727" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-17728" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-17729" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-17730" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-17731" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-17732" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-17733" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-17734" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mo" id="MathJax-Span-17735" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17736" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="msubsup" id="MathJax-Span-17737"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17738" style="font-family: STIXGeneral-Italic;">g</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 10px;"><span class="mn" id="MathJax-Span-17739" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17740" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17741" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="msubsup" id="MathJax-Span-17742"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17743" style="font-family: STIXGeneral-Italic;">g</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 10px;"><span class="mn" id="MathJax-Span-17744" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17745" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17746" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-17747" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17748" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-17749" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17750" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17751" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-17752" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-17753" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-17754" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-17755" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-17756" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-17757" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-17758" style="font-family: STIXGeneral-Italic;">G</span><span class="mi" id="MathJax-Span-17759" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-17760" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-17761" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-17762" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-17763" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-17764" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17765" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-17766" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-17767" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-17768" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-17769" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-17770" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-17771" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-17772"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17773" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-17774" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17775" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17776" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="msubsup" id="MathJax-Span-17777"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17778" style="font-family: STIXGeneral-Italic;">g</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 10px;"><span class="mn" id="MathJax-Span-17779" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17780" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-17781" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17782" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-17783" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17784" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-17785" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17786" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-17787" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17788" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17789" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-17790" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17791" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17792" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-17793"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17794" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-17795" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17796" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-17797" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-17798" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-17799" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-17800" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-17801" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span class="mi" id="MathJax-Span-17802" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-17803" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-17804" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-17805" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-17806" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-17807" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-17808" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-17809" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17810" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-17811" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-17812" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-17813" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-17814" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-17815" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-17816" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-17817"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.3px -8.6px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17818" style="font-family: STIXGeneral-Italic;">v</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-17819" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17820" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17821" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="msubsup" id="MathJax-Span-17822"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17823" style="font-family: STIXGeneral-Italic;">g</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 10px;"><span class="mn" id="MathJax-Span-17824" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17825" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-17826" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17827" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-17828" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17829" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-17830" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17831" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-17832" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17833" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17834" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-17835" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17836" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17837" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-17838"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17839" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-17840" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17841" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(33.3px 19360px 56px -9px); top: 3.7px; left: 0px;"><span class="mtd" id="MathJax-Span-17842"><span class="mrow" id="MathJax-Span-17843"><span class="mspace" id="MathJax-Span-17844" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-17845" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-17846" style="font-family: STIXGeneral-Italic; padding-left: 6px;">g</span><span class="mi" id="MathJax-Span-17847" style="font-family: STIXGeneral-Italic;">e</span><span class="msubsup" id="MathJax-Span-17848"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17849" style="font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-17850" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17851" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⪯</span><span class="mi" id="MathJax-Span-17852" style="font-family: STIXGeneral-Italic; padding-left: 6px;">i</span><span class="mi" id="MathJax-Span-17853" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-17854"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.3px -8.6px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17855" style="font-family: STIXGeneral-Italic;">v</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-17856" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 89px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 74.1px; vertical-align: -57.6px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-601">\begin{array}[t]{l}
+<div class="constraint" number="49" id="actedOnBehalfOf-ordering"><div class="ruleTitle"><a href="#actedOnBehalfOf-ordering" class="internalDFN">Constraint 49 (actedOnBehalfOf-ordering)</a></div><ol><li><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-601-Frame" class="MathJax"><nobr><span id="MathJax-Span-17640" class="math"><span style="display: inline-block; position: relative; width: 934px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.145em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-17641" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-17642" class="mtable"><span style="display: inline-block; position: relative; width: 54.206em; height: 0px;"><span style="position: absolute; clip: rect(3.756em, 1000em, 7.715em, -0.526em); top: -4.614em; left: 0em;"><span style="display: inline-block; position: relative; width: 54.206em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.987em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-17643" class="mtd"><span id="MathJax-Span-17644" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-17645" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17646" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17647" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17648" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17649" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-17650" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17651" class="mi">e</span><span id="MathJax-Span-17652" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.754em, -0.512em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17653" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17654" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17655" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-17656" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17657" class="mi">n</span><span id="MathJax-Span-17658" class="msubsup"><span style="display: inline-block; 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top: -1.861em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17739" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17740" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-17741" class="mi">a</span><span id="MathJax-Span-17742" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.951em, -0.518em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17743" class="mi">g</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.861em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17744" class="mn">1</span><span style="display: inline-block; 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font-style: italic;" id="MathJax-Span-17770" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17771" class="mi">e</span><span id="MathJax-Span-17772" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.754em, -0.512em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17773" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17774" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17775" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-17776" class="mi">a</span><span id="MathJax-Span-17777" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.951em, -0.518em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17778" class="mi">g</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.861em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17779" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17780" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-17781" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17782" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17783" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17784" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-17785" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17786" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17787" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17788" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-17789" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17790" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17791" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17792" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-17793" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17794" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17795" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17796" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-17797" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-17798" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17799" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17800" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17801" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17802" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17803" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17804" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17805" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17806" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17807" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17808" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17809" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17810" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17811" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17812" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17813" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-17814" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17815" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17816" class="mi">n</span><span id="MathJax-Span-17817" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.763em, -0.506em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17818" class="mi">v</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17819" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17820" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-17821" class="mi">a</span><span id="MathJax-Span-17822" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.951em, -0.518em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17823" class="mi">g</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.861em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17824" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17825" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-17826" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17827" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17828" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17829" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-17830" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17831" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17832" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17833" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-17834" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17835" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17836" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17837" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-17838" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17839" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17840" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17841" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.741em, 1000em, 2.951em, -0.526em); top: 0.15em; left: 0em;"><span id="MathJax-Span-17842" class="mtd"><span id="MathJax-Span-17843" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-17844" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17845" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-17846" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17847" class="mi">e</span><span id="MathJax-Span-17848" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.754em, -0.512em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17849" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17850" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-17851" class="mo">⪯</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-17852" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17853" class="mi">n</span><span id="MathJax-Span-17854" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.763em, -0.506em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17855" class="mi">v</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17856" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.614em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 4.112em; vertical-align: -3.193em;"></span></span></nobr></span><script id="MathJax-Element-601" type="math/tex">\begin{array}[t]{l}
 \forall del,gen_1,inv_2,ag_1,ag_2,a,a_1,a_2,t_1,t_2,attrs,attrs_1,attrs_2.~
 \\
 \qquad actedOnBehalfOf(del,ag_2,ag_1,a,attrs) \wedge wasGeneratedBy(gen_1,ag_1,a_1,t_1,attrs_1) \wedge wasInvalidatedBy(inv_2,ag_2,a_2,t_2,attrs_2)
 \\
 \quad\Rightarrow
 gen_1 \preceq inv_2
-\end{array}</script></li><li><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-602-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-17857"><span style="display: inline-block; position: relative; width: 1033px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 101.1px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-17858"><span class="mtable" id="MathJax-Span-17859" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 1027px; height: 0px;"><span style="position: absolute; clip: rect(72.8px 19360px 148.1px -9px); top: -89px; left: 0px;"><span style="display: inline-block; position: relative; width: 1027px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 55.7px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-17860"><span class="mrow" id="MathJax-Span-17861"><span class="mi" id="MathJax-Span-17862" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-17863" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-17864" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-17865" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mo" id="MathJax-Span-17866" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17867" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">s</span><span class="mi" id="MathJax-Span-17868" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17869" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-17870" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-17871"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17872" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-17873" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17874" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17875" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mi" id="MathJax-Span-17876" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-17877"><span style="display: inline-block; position: relative; width: 18.9px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17878" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10.5px;"><span class="mn" id="MathJax-Span-17879" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17880" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17881" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="msubsup" id="MathJax-Span-17882"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17883" style="font-family: STIXGeneral-Italic;">g</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 10px;"><span class="mn" id="MathJax-Span-17884" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17885" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17886" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="msubsup" id="MathJax-Span-17887"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17888" style="font-family: STIXGeneral-Italic;">g</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 10px;"><span class="mn" id="MathJax-Span-17889" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17890" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17891" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-17892" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-17893" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17894" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-17895" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17896" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-17897" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17898" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-17899" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17900" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-17901" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17902" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-17903" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17904" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-17905" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17906" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-17907" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17908" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-17909" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17910" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-17911" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17912" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-17913" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17914" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-17915" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17916" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17917" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-17918" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17919" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17920" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-17921" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-17922" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17923" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-17924" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17925" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17926" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-17927"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17928" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-17929" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17930" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17931" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-17932" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17933" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17934" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-17935"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17936" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-17937" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17938" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-17939" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55.7px -9px); top: -21.4px; left: 0px;"><span class="mtd" id="MathJax-Span-17940"><span class="mrow" id="MathJax-Span-17941"><span class="mspace" id="MathJax-Span-17942" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-17943" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-17944" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-17945" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17946" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-17947" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-17948" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-17949" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-17950" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-17951" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-17952" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-17953" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-17954" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-17955" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-17956" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-17957" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-17958" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-17959" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-17960" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-17961" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mo" id="MathJax-Span-17962" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17963" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="msubsup" id="MathJax-Span-17964"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17965" style="font-family: STIXGeneral-Italic;">g</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 10px;"><span class="mn" id="MathJax-Span-17966" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17967" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17968" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="msubsup" id="MathJax-Span-17969"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-17970" style="font-family: STIXGeneral-Italic;">g</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 10px;"><span class="mn" id="MathJax-Span-17971" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-17972" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17973" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-17974" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-17975" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-17976" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17977" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17978" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-17979" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-17980" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-17981" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-17982" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-17983" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-17984" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-17985" style="font-family: STIXGeneral-Italic;">S<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.2px;"></span></span><span class="mi" id="MathJax-Span-17986" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17987" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-17988" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-17989" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17990" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-17991" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-17992" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-17993" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-17994" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-17995" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-17996" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-17997" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-17998" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-17999"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-18000" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-18001" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-18002" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-18003" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="msubsup" id="MathJax-Span-18004"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-18005" style="font-family: STIXGeneral-Italic;">g</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 10px;"><span class="mn" id="MathJax-Span-18006" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-18007" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-18008" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-18009" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-18010" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-18011" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-18012" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-18013" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-18014" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-18015" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-18016" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-18017" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-18018" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-18019" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-18020" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-18021" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18022" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18023" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-18024"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; 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overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-18033" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-18034" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-18035" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-18036" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-18037" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-18038" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-18039" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-18040" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-18041" style="font-family: STIXGeneral-Italic;">n</span><span class="msubsup" id="MathJax-Span-18042"><span style="display: inline-block; position: relative; width: 18.9px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-18043" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10.5px;"><span class="mn" id="MathJax-Span-18044" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-18045" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-18046" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="msubsup" id="MathJax-Span-18047"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; 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top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-18053" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-18054" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-18055" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-18056" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-18057" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-18058" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-18059" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-18060" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-18061" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-18062" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-18063" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-18064" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18065" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18066" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="msubsup" id="MathJax-Span-18067"><span style="display: inline-block; position: relative; width: 15.5px; height: 0px;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-18068" style="font-family: STIXGeneral-Italic;">s</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 7px;"><span class="mn" id="MathJax-Span-18069" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-18070" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.8px 19360px 54.9px -9px); top: 4.2px; left: 0px;"><span class="mtd" id="MathJax-Span-18071"><span class="mrow" id="MathJax-Span-18072"><span class="mspace" id="MathJax-Span-18073" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-18074" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-18075" style="font-family: STIXGeneral-Italic; padding-left: 6px;">s</span><span class="mi" id="MathJax-Span-18076" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18077" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-18078" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; 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position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.951em, -0.518em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-17883" class="mi">g</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.861em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-17884" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-17885" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-17886" class="mi">a</span><span id="MathJax-Span-17887" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.951em, -0.518em); 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font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18020" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18021" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18022" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18023" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-18024" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18025" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-18026" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18027" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-18028" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-18029" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18030" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18031" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18032" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18033" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18034" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18035" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18036" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18037" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18038" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18039" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18040" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18041" class="mi">n</span><span id="MathJax-Span-18042" class="msubsup"><span style="display: inline-block; position: relative; width: 0.924em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.511em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18043" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.499em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-18044" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18045" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18046" class="mi">a</span><span id="MathJax-Span-18047" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.951em, -0.518em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18048" class="mi">g</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.861em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-18049" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18050" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-18051" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18052" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-18053" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18054" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-18055" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18056" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-18057" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18058" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-18059" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18060" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-18061" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18062" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18063" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18064" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18065" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18066" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-18067" class="msubsup"><span style="display: inline-block; position: relative; width: 0.834em; height: 0px;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18068" class="mi">s</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.409em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-18069" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18070" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.895em, -0.526em); top: 0.179em; left: 0em;"><span id="MathJax-Span-18071" class="mtd"><span id="MathJax-Span-18072" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-18073" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18074" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-18075" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18076" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18077" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18078" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span id="MathJax-Span-18079" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18080" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-18081" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-18082" class="mo">⪯</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-18083" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18084" class="mi">n</span><span id="MathJax-Span-18085" class="msubsup"><span style="display: inline-block; position: relative; width: 0.924em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.511em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18086" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.499em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-18087" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.556em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 4.136em; vertical-align: -3.218em;"></span></span></nobr></span><script id="MathJax-Element-602" type="math/tex">\begin{array}[t]{l}
 \forall del,start_1,end_2,ag_1,ag_2,a,a_1,a_2,e_1,e_2,t_1,t_2,attrs,attrs_1,attrs_2.~
 \\
 \qquad actedOnBehalfOf(del,ag_2,ag_1,a,attrs) \wedge wasStartedBy(start_1,ag_1,e_1,a_1,t_1,attrs_1) \wedge wasEndedBy(end_2,ag_2,e_2,a_2,t_2,attrs_2)
@@ -2685,133 +2685,133 @@
 <section id="typing-constraints">
 <h4><span class="secno">5.2.3 </span>Typing constraints</h4>
 
-<div class="constraint" number="50" id="typing"><div class="ruleTitle"><a class="internalDFN" href="#typing">Constraint 50 (typing)</a></div><ol><li><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-603-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-18088"><span style="display: inline-block; position: relative; width: 174px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 98.4px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-18089"><span class="mtable" id="MathJax-Span-18090" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 168px; height: 0px;"><span style="position: absolute; clip: rect(71.2px 19360px 144.4px -9px); top: -87px; left: 0px;"><span style="display: inline-block; position: relative; width: 168px; height: 0px;"><span style="position: absolute; clip: rect(32.2px 19360px 53.7px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-18091"><span class="mrow" id="MathJax-Span-18092"><span class="mi" id="MathJax-Span-18093" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-18094" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-18095" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-18096" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-18097" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18098" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18099" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-18100" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-18101" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-18102" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.9px 19360px 55px -9px); top: -23.5px; left: 0px;"><span class="mtd" id="MathJax-Span-18103"><span class="mrow" id="MathJax-Span-18104"><span class="mspace" id="MathJax-Span-18105" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-18106" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-18107" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-18108" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18109" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-18110" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18111" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-18112" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-18113" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-18114" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-18115" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-18116" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18117" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18118" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-18119" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-18120" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.9px 19360px 56px -9px); top: 1.4px; left: 0px;"><span class="mtd" id="MathJax-Span-18121"><span class="mrow" id="MathJax-Span-18122"><span class="mspace" id="MathJax-Span-18123" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-18124" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-18125" style="font-family: STIXGeneral-Italic; padding-left: 6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18126" style="font-family: STIXGeneral-Italic;">y</span><span class="mi" id="MathJax-Span-18127" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-18128" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-18129" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-18130" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-18131" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-18132" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-18133" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-18134" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mi" id="MathJax-Span-18135" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-18136" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18137" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-18138" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18139" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-18140" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 87px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 71.9px; vertical-align: -55.4px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-603">\begin{array}[t]{l}
+<div class="constraint" number="50" id="typing"><div class="ruleTitle"><a href="#typing" class="internalDFN">Constraint 50 (typing)</a></div><ol><li><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-603-Frame" class="MathJax"><nobr><span id="MathJax-Span-18088" class="math"><span style="display: inline-block; position: relative; width: 160px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.028em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-18089" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-18090" class="mtable"><span style="display: inline-block; position: relative; width: 8.995em; height: 0px;"><span style="position: absolute; clip: rect(3.66em, 1000em, 7.481em, -0.526em); top: -4.498em; left: 0em;"><span style="display: inline-block; position: relative; width: 8.995em; height: 0px;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.886em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-18091" class="mtd"><span id="MathJax-Span-18092" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-18093" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18094" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18095" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18096" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18097" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18098" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18099" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18100" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18101" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-18102" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.719em, 1000em, 2.951em, -0.526em); top: -1.303em; left: 0em;"><span id="MathJax-Span-18103" class="mtd"><span id="MathJax-Span-18104" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-18105" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18106" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18107" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18108" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18109" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18110" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18111" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18112" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18113" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18114" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18115" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18116" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18117" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18118" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18119" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18120" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.717em, 1000em, 2.952em, -0.526em); top: 0.031em; left: 0em;"><span id="MathJax-Span-18121" class="mtd"><span id="MathJax-Span-18122" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-18123" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18124" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-18125" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18126" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18127" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18128" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18129" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18130" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18131" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18132" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18133" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18134" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18135" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18136" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18137" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18138" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18139" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18140" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.498em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 3.986em; vertical-align: -3.067em;"></span></span></nobr></span><script id="MathJax-Element-603" type="math/tex">\begin{array}[t]{l}
 \forall e,attrs.~
 \\
 \qquad entity(e,attrs)
 \\
 \quad\Rightarrow
 typeOf(e,entity)
-\end{array}</script></li><li><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-604-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-18141"><span style="display: inline-block; position: relative; width: 188px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 99.6px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-18142"><span class="mtable" id="MathJax-Span-18143" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 182px; height: 0px;"><span style="position: absolute; clip: rect(72.2px 19360px 146.6px -9px); top: -88px; left: 0px;"><span style="display: inline-block; position: relative; width: 182px; height: 0px;"><span style="position: absolute; clip: rect(32.2px 19360px 55px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-18144"><span class="mrow" id="MathJax-Span-18145"><span class="mi" id="MathJax-Span-18146" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-18147" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-18148" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-18149" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-18150" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-18151" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18152" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18153" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-18154" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-18155" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-18156" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.9px 19360px 55px -9px); top: -22.2px; left: 0px;"><span class="mtd" id="MathJax-Span-18157"><span class="mrow" id="MathJax-Span-18158"><span class="mspace" id="MathJax-Span-18159" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-18160" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-18161" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-18162" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-18163" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-18164" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-18165" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-18166" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-18167" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-18168" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-18169" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-18170" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18171" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18172" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-18173" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-18174" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.9px 19360px 56px -9px); top: 2.6px; left: 0px;"><span class="mtd" id="MathJax-Span-18175"><span class="mrow" id="MathJax-Span-18176"><span class="mspace" id="MathJax-Span-18177" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-18178" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-18179" style="font-family: STIXGeneral-Italic; padding-left: 6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18180" style="font-family: STIXGeneral-Italic;">y</span><span class="mi" id="MathJax-Span-18181" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-18182" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-18183" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-18184" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-18185" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-18186" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-18187" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-18188" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-18189" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-18190" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-18191" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-18192" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-18193" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-18194" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 88px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 73.1px; vertical-align: -56.6px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-604">\begin{array}[t]{l}
+\end{array}</script></li><li><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-604-Frame" class="MathJax"><nobr><span id="MathJax-Span-18141" class="math"><span style="display: inline-block; position: relative; width: 169px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.093em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-18142" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-18143" class="mtable"><span style="display: inline-block; position: relative; width: 9.521em; height: 0px;"><span style="position: absolute; clip: rect(3.719em, 1000em, 7.604em, -0.526em); top: -4.556em; left: 0em;"><span style="display: inline-block; position: relative; width: 9.521em; height: 0px;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.951em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-18144" class="mtd"><span id="MathJax-Span-18145" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-18146" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18147" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18148" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18149" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18150" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18151" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18152" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18153" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18154" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18155" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-18156" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.719em, 1000em, 2.951em, -0.526em); top: -1.238em; left: 0em;"><span id="MathJax-Span-18157" class="mtd"><span id="MathJax-Span-18158" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-18159" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18160" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18161" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18162" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18163" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18164" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18165" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18166" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18167" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18168" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18169" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18170" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18171" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18172" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18173" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18174" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.717em, 1000em, 2.952em, -0.526em); top: 0.096em; left: 0em;"><span id="MathJax-Span-18175" class="mtd"><span id="MathJax-Span-18176" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-18177" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18178" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-18179" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18180" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18181" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18182" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18183" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18184" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18185" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18186" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18187" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18188" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18189" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18190" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18191" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18192" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18193" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18194" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.556em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 4.055em; vertical-align: -3.137em;"></span></span></nobr></span><script id="MathJax-Element-604" type="math/tex">\begin{array}[t]{l}
 \forall ag,attrs.~
 \\
 \qquad agent(ag,attrs)
 \\
 \quad\Rightarrow
 typeOf(ag,agent)
-\end{array}</script></li><li><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-605-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-18195"><span style="display: inline-block; position: relative; width: 214px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 98.5px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-18196"><span class="mtable" id="MathJax-Span-18197" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 208px; height: 0px;"><span style="position: absolute; clip: rect(71.2px 19360px 144.5px -9px); top: -87px; left: 0px;"><span style="display: inline-block; position: relative; width: 208px; height: 0px;"><span style="position: absolute; clip: rect(32.2px 19360px 53.9px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-18198"><span class="mrow" id="MathJax-Span-18199"><span class="mi" id="MathJax-Span-18200" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-18201" style="font-family: STIXGeneral-Italic;">a</span><span class="mo" id="MathJax-Span-18202" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-18203" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-18204" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-18205" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-18206" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-18207" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-18208" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-18209" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-18210" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-18211" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-18212" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18213" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18214" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-18215" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-18216" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-18217" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.9px 19360px 55px -9px); top: -23.3px; left: 0px;"><span class="mtd" id="MathJax-Span-18218"><span class="mrow" id="MathJax-Span-18219"><span class="mspace" id="MathJax-Span-18220" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-18221" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-18222" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-18223" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18224" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-18225" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-18226" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-18227" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18228" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-18229" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-18230" style="font-family: STIXGeneral-Italic;">a</span><span class="mo" id="MathJax-Span-18231" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-18232" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-18233" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-18234" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-18235" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-18236" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 14.1px; height: 0px;"><span style="position: absolute; clip: rect(34.4px 19360px 51.2px -8.3px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-18237" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 5.7px;"><span class="mn" id="MathJax-Span-18238" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-18239" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-18240" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-18241" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18242" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18243" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-18244" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-18245" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.9px 19360px 56px -9px); top: 1.5px; left: 0px;"><span class="mtd" id="MathJax-Span-18246"><span class="mrow" id="MathJax-Span-18247"><span class="mspace" id="MathJax-Span-18248" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-18249" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-18250" style="font-family: STIXGeneral-Italic; padding-left: 6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18251" style="font-family: STIXGeneral-Italic;">y</span><span class="mi" id="MathJax-Span-18252" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-18253" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-18254" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-18255" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-18256" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-18257" style="font-family: STIXGeneral-Italic;">a</span><span class="mo" id="MathJax-Span-18258" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-18259" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-18260" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-18261" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18262" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-18263" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-18264" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-18265" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18266" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-18267" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 87px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 72px; vertical-align: -55.5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-605">\begin{array}[t]{l}
+\end{array}</script></li><li><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-605-Frame" class="MathJax"><nobr><span id="MathJax-Span-18195" class="math"><span style="display: inline-block; position: relative; width: 194px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.037em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-18196" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-18197" class="mtable"><span style="display: inline-block; position: relative; width: 10.981em; height: 0px;"><span style="position: absolute; clip: rect(3.66em, 1000em, 7.49em, -0.526em); top: -4.498em; left: 0em;"><span style="display: inline-block; position: relative; width: 10.981em; height: 0px;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.895em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-18198" class="mtd"><span id="MathJax-Span-18199" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-18200" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18201" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18202" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-18203" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18204" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-18205" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18206" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-18207" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18208" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-18209" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18210" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18211" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18212" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18213" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18214" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18215" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18216" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-18217" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.719em, 1000em, 2.951em, -0.526em); top: -1.294em; left: 0em;"><span id="MathJax-Span-18218" class="mtd"><span id="MathJax-Span-18219" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-18220" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18221" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18222" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18223" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18224" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18225" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18226" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18227" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18228" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18229" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18230" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18231" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-18232" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18233" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-18234" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18235" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-18236" class="msubsup"><span style="display: inline-block; position: relative; width: 0.7em; height: 0px;"><span style="position: absolute; clip: rect(1.849em, 1000em, 2.756em, -0.488em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18237" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.274em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-18238" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18239" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18240" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18241" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18242" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18243" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18244" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18245" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.717em, 1000em, 2.952em, -0.526em); top: 0.04em; left: 0em;"><span id="MathJax-Span-18246" class="mtd"><span id="MathJax-Span-18247" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-18248" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18249" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-18250" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18251" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18252" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18253" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18254" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18255" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18256" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18257" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18258" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18259" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18260" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18261" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18262" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18263" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18264" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18265" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18266" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18267" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.498em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 3.995em; vertical-align: -3.077em;"></span></span></nobr></span><script id="MathJax-Element-605" type="math/tex">\begin{array}[t]{l}
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 \\
 \qquad activity(a,t_1,t_2,attrs)
 \\
 \quad\Rightarrow
 typeOf(a,activity)
-\end{array}</script></li><li><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-606-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-18268"><span style="display: inline-block; position: relative; width: 331px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 97.9px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-18269"><span class="mtable" id="MathJax-Span-18270" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 325px; height: 0px;"><span style="position: absolute; clip: rect(70.2px 19360px 142.9px -9px); top: -86px; left: 0px;"><span style="display: inline-block; position: relative; width: 325px; height: 0px;"><span style="position: absolute; clip: rect(32.2px 19360px 53.7px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-18271"><span class="mrow" id="MathJax-Span-18272"><span class="mi" id="MathJax-Span-18273" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-18274" style="font-family: STIXGeneral-Italic;">u</span><span class="mo" id="MathJax-Span-18275" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-18276" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-18277" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-18278" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-18279" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-18280" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-18281" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-18282" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-18283" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18284" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18285" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-18286" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-18287" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-18288" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 54.4px -9px); top: -23.3px; left: 0px;"><span class="mtd" id="MathJax-Span-18289"><span class="mrow" id="MathJax-Span-18290"><span class="mspace" id="MathJax-Span-18291" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-18292" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-18293" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-18294" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-18295" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-18296" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-18297" style="font-family: STIXGeneral-Italic;">u</span><span class="mo" id="MathJax-Span-18298" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-18299" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-18300" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-18301" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-18302" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-18303" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-18304" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-18305" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-18306" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18307" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18308" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-18309" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-18310" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.9px 19360px 56px -9px); top: 0.9px; left: 0px;"><span class="mtd" id="MathJax-Span-18311"><span class="mrow" id="MathJax-Span-18312"><span class="mspace" id="MathJax-Span-18313" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-18314" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-18315" style="font-family: STIXGeneral-Italic; padding-left: 6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18316" style="font-family: STIXGeneral-Italic;">y</span><span class="mi" id="MathJax-Span-18317" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-18318" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-18319" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-18320" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-18321" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-18322" style="font-family: STIXGeneral-Italic;">a</span><span class="mo" id="MathJax-Span-18323" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-18324" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-18325" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-18326" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18327" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-18328" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-18329" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-18330" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18331" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-18332" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-18333" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-18334" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18335" style="font-family: STIXGeneral-Italic;">y</span><span class="mi" id="MathJax-Span-18336" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-18337" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-18338" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-18339" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-18340" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-18341" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-18342" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-18343" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mi" id="MathJax-Span-18344" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-18345" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18346" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-18347" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18348" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-18349" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 86px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 71.4px; vertical-align: -54.9px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-606">\begin{array}[t]{l}
+\end{array}</script></li><li><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-606-Frame" class="MathJax"><nobr><span id="MathJax-Span-18268" class="math"><span style="display: inline-block; position: relative; width: 306px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.006em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-18269" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-18270" class="mtable"><span style="display: inline-block; position: relative; width: 17.523em; height: 0px;"><span style="position: absolute; clip: rect(3.602em, 1000em, 7.4em, -0.526em); top: -4.439em; left: 0em;"><span style="display: inline-block; position: relative; width: 17.523em; height: 0px;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.886em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-18271" class="mtd"><span id="MathJax-Span-18272" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-18273" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18274" class="mi">u</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18275" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18276" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18277" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18278" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18279" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18280" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18281" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18282" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18283" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18284" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18285" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18286" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18287" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-18288" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.922em, -0.526em); top: -1.296em; left: 0em;"><span id="MathJax-Span-18289" class="mtd"><span id="MathJax-Span-18290" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-18291" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18292" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18293" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18294" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18295" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18296" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18297" class="mi">u</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18298" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18299" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18300" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18301" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18302" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18303" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18304" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18305" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18306" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18307" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18308" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18309" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18310" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.717em, 1000em, 2.952em, -0.526em); top: 0.009em; left: 0em;"><span id="MathJax-Span-18311" class="mtd"><span id="MathJax-Span-18312" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-18313" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18314" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-18315" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18316" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18317" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18318" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18319" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18320" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18321" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18322" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18323" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18324" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18325" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18326" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18327" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18328" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18329" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18330" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18331" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18332" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-18333" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-18334" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18335" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18336" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18337" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18338" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18339" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18340" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18341" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18342" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18343" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18344" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18345" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18346" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18347" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18348" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18349" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.439em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 3.962em; vertical-align: -3.044em;"></span></span></nobr></span><script id="MathJax-Element-606" type="math/tex">\begin{array}[t]{l}
 \forall u,a,e,t,attrs.~
 \\
 \qquad used(u,a,e,t,attrs)
 \\
 \quad\Rightarrow
 typeOf(a,activity) \wedge typeOf(e,entity)
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overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-18382" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-18383" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18384" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-18385" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-18386" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-18387" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-18388" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-18389" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-18390" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-18391" style="font-family: STIXGeneral-Italic; 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padding-left: 6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18408" style="font-family: STIXGeneral-Italic;">y</span><span class="mi" id="MathJax-Span-18409" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-18410" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-18411" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-18412" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-18413" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-18414" style="font-family: STIXGeneral-Italic;">a</span><span class="mo" id="MathJax-Span-18415" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-18416" style="font-family: STIXGeneral-Italic; 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padding-left: 3.6px;">e</span><span class="mi" id="MathJax-Span-18436" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-18437" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18438" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-18439" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18440" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-18441" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 88px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 73.2px; vertical-align: -56.8px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-607">\begin{array}[t]{l}
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font-style: italic;" id="MathJax-Span-18356" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18357" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18358" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18359" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18360" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18361" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18362" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18363" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18364" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18365" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18366" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18367" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18368" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18369" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-18370" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: -1.231em; left: 0em;"><span id="MathJax-Span-18371" class="mtd"><span id="MathJax-Span-18372" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-18373" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18374" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18375" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18376" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18377" class="mi">G</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18378" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18379" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18380" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18381" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18382" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18383" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18384" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18385" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18386" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18387" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18388" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18389" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18390" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18391" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18392" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18393" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18394" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18395" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18396" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18397" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18398" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18399" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18400" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18401" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18402" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.717em, 1000em, 2.952em, -0.526em); top: 0.103em; left: 0em;"><span id="MathJax-Span-18403" class="mtd"><span id="MathJax-Span-18404" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-18405" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18406" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-18407" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18408" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18409" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18410" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18411" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18412" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; 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font-style: italic;" id="MathJax-Span-18430" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18431" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18432" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18433" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18434" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18435" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18436" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18437" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18438" class="mi">i</span><span style="font-family: STIXGeneral; 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top: -22.1px; left: 0px;"><span class="mtd" id="MathJax-Span-18469"><span class="mrow" id="MathJax-Span-18470"><span class="mspace" id="MathJax-Span-18471" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-18472" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-18473" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-18474" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-18475" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span class="mi" id="MathJax-Span-18476" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-18477" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-18478" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-18479" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; 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position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-18518" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-18519" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-18520" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-18521" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-18522" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-18523" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; 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font-style: italic;" id="MathJax-Span-18448" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18449" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18450" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18451" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-18452" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18453" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-18454" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18455" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-18456" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18457" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-18458" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18459" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18460" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18461" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18462" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18463" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18464" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18465" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18466" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18467" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-18468" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.526em); top: -1.23em; left: 0em;"><span id="MathJax-Span-18469" class="mtd"><span id="MathJax-Span-18470" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-18471" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18472" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18473" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18474" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18475" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18476" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18477" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18478" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18479" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18480" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18481" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18482" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18483" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18484" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18485" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18486" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18487" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18488" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18489" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-18490" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18491" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-18492" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18493" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-18494" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18495" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-18496" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18497" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18498" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18499" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18500" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18501" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18502" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18503" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18504" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18505" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.717em, 1000em, 2.952em, -0.526em); top: 0.105em; left: 0em;"><span id="MathJax-Span-18506" class="mtd"><span id="MathJax-Span-18507" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-18508" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18509" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-18510" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18511" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18512" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18513" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18514" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18515" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18516" class="mo">(</span><span id="MathJax-Span-18517" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18518" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-18519" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18520" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18521" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18522" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18523" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18524" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18525" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18526" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18527" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18528" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18529" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-18530" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-18531" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18532" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18533" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18534" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18535" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18536" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18537" class="mo">(</span><span id="MathJax-Span-18538" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18539" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-18540" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18541" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18542" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18543" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18544" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18545" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18546" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18547" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18548" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18549" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18550" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.556em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 4.065em; vertical-align: -3.146em;"></span></span></nobr></span><script id="MathJax-Element-608" type="math/tex">\begin{array}[t]{l}
 \forall inf,a_2,a_1,t,attrs.~
 \\
 \qquad wasInformedBy(inf,a_2,a_1,t,attrs)
 \\
 \quad\Rightarrow
 typeOf(a_1,activity) \wedge typeOf(a_2,activity)
-\end{array}</script></li><li><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-609-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-18551"><span style="display: inline-block; position: relative; width: 504px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 98.7px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-18552"><span class="mtable" id="MathJax-Span-18553" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 498px; height: 0px;"><span style="position: absolute; clip: rect(71.2px 19360px 144.7px -9px); top: -87px; left: 0px;"><span style="display: inline-block; position: relative; width: 498px; height: 0px;"><span style="position: absolute; clip: rect(32.2px 19360px 53.9px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-18554"><span class="mrow" id="MathJax-Span-18555"><span class="mi" id="MathJax-Span-18556" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-18557" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-18558" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18559" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-18560" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-18561" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-18562" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-18563" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-18564" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-18565" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-18566" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-18567" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-18568" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-18569" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-18570" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-18571" style="font-size: 70.7%; 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font-style: italic;" id="MathJax-Span-18605" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-18606" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18607" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18608" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18609" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-18610" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18611" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-18612" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18613" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18614" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18615" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18616" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18617" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18618" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18619" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18620" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18621" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.717em, 1000em, 2.952em, -0.526em); top: 0.047em; left: 0em;"><span id="MathJax-Span-18622" class="mtd"><span id="MathJax-Span-18623" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-18624" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18625" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-18626" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18627" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18628" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18629" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18630" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18631" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18632" class="mo">(</span><span id="MathJax-Span-18633" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18634" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-18635" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18636" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18637" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18638" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18639" class="mi">t<span style="display: inline-block; 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font-style: italic;" id="MathJax-Span-18655" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-18656" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18657" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18658" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18659" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18660" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18661" class="mi">i</span><span style="font-family: STIXGeneral; 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font-style: italic;" id="MathJax-Span-18670" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18671" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18672" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18673" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18674" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18675" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18676" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18677" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18678" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18679" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18680" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18681" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18682" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18683" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.498em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 4.003em; vertical-align: -3.084em;"></span></span></nobr></span><script id="MathJax-Element-609" type="math/tex">\begin{array}[t]{l}
 \forall start,a_2,e,a_1,t,attrs.~
 \\
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 \\
 \quad\Rightarrow
 typeOf(a_1,activity) \wedge typeOf(a_2,activity) \wedge typeOf(e,entity)
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font-style: italic;" id="MathJax-Span-18754" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18755" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18756" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18757" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18758" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18759" class="mo">(</span><span id="MathJax-Span-18760" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18761" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-18762" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18763" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18764" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18765" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18766" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18767" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18768" class="mi">v</span><span style="font-family: STIXGeneral; 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font-style: italic;" id="MathJax-Span-18777" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18778" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18779" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18780" class="mo">(</span><span id="MathJax-Span-18781" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18782" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-18783" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18784" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18785" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18786" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18787" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18788" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18789" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18790" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18791" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18792" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18793" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-18794" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-18795" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18796" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18797" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18798" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18799" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18800" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18801" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18802" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18803" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18804" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18805" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18806" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18807" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18808" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18809" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18810" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.498em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 4.003em; vertical-align: -3.084em;"></span></span></nobr></span><script id="MathJax-Element-610" type="math/tex">\begin{array}[t]{l}
 \forall end,a_2,e,a_1,t,attrs.~
 \\
 \qquad wasEndedBy(end,a_2,e,a_1,t,attrs)
 \\
 \quad\Rightarrow
 typeOf(a_1,activity) \wedge typeOf(a_2,activity) \wedge typeOf(e,entity)
-\end{array}</script></li><li><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-611-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-18811"><span style="display: inline-block; position: relative; width: 331px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 98.5px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-18812"><span class="mtable" id="MathJax-Span-18813" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 325px; height: 0px;"><span style="position: absolute; clip: rect(71.2px 19360px 144.5px -9px); top: -87px; left: 0px;"><span style="display: inline-block; position: relative; width: 325px; height: 0px;"><span style="position: absolute; clip: rect(32.2px 19360px 53.7px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-18814"><span class="mrow" id="MathJax-Span-18815"><span class="mi" id="MathJax-Span-18816" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-18817" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-18818" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-18819" style="font-family: STIXGeneral-Italic;">v</span><span class="mo" id="MathJax-Span-18820" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-18821" style="font-family: STIXGeneral-Italic; 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overflow: hidden; height: 1px; width: 1px;"></span></span><span class="mi" id="MathJax-Span-18841" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-18842" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-18843" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-18844" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-18845" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-18846" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-18847" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-18848" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18849" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-18850" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-18851" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-18852" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-18853" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-18854" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-18855" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-18856" style="font-family: STIXGeneral-Italic;">v</span><span class="mo" id="MathJax-Span-18857" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-18858" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-18859" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-18860" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-18861" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-18862" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-18863" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-18864" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-18865" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18866" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18867" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-18868" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-18869" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.9px 19360px 56px -9px); top: 1.5px; left: 0px;"><span class="mtd" id="MathJax-Span-18870"><span class="mrow" id="MathJax-Span-18871"><span class="mspace" id="MathJax-Span-18872" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-18873" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-18874" style="font-family: STIXGeneral-Italic; padding-left: 6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18875" style="font-family: STIXGeneral-Italic;">y</span><span class="mi" id="MathJax-Span-18876" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-18877" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-18878" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-18879" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-18880" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-18881" style="font-family: STIXGeneral-Italic;">a</span><span class="mo" id="MathJax-Span-18882" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-18883" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-18884" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-18885" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18886" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-18887" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-18888" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-18889" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18890" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-18891" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-18892" style="font-family: STIXGeneral-Regular; 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padding-left: 3.6px;">e</span><span class="mi" id="MathJax-Span-18903" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-18904" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18905" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-18906" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18907" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-18908" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 87px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 72px; vertical-align: -55.5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-611">\begin{array}[t]{l}
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font-style: italic;" id="MathJax-Span-18817" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18818" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18819" class="mi">v</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18820" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18821" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18822" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18823" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18824" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18825" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18826" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18827" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18828" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18829" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18830" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18831" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18832" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-18833" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: -1.296em; left: 0em;"><span id="MathJax-Span-18834" class="mtd"><span id="MathJax-Span-18835" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-18836" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18837" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18838" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18839" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18840" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18841" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18842" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18843" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18844" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18845" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18846" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18847" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18848" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18849" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18850" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18851" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18852" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18853" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18854" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18855" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18856" class="mi">v</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18857" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18858" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18859" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18860" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18861" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18862" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18863" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18864" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18865" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18866" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18867" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18868" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18869" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.717em, 1000em, 2.952em, -0.526em); top: 0.038em; left: 0em;"><span id="MathJax-Span-18870" class="mtd"><span id="MathJax-Span-18871" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-18872" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18873" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-18874" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18875" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18876" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18877" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18878" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18879" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18880" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18881" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18882" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18883" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18884" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18885" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18886" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18887" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18888" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18889" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18890" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18891" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-18892" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-18893" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18894" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18895" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18896" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18897" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18898" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-18899" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18900" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18901" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-18902" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18903" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18904" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18905" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18906" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-18907" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-18908" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.498em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 3.993em; vertical-align: -3.075em;"></span></span></nobr></span><script id="MathJax-Element-611" type="math/tex">\begin{array}[t]{l}
 \forall inv,a,e,t,attrs.~
 \\
 \qquad wasInvalidatedBy(inv,e,a,t,attrs)
 \\
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-\end{array}</script></li><li><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-612-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-18909"><span style="display: inline-block; position: relative; width: 694px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 101.1px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-18910"><span class="mtable" id="MathJax-Span-18911" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 688px; height: 0px;"><span style="position: absolute; clip: rect(73.8px 19360px 150.1px -9px); top: -90px; left: 0px;"><span style="display: inline-block; position: relative; width: 688px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 55.7px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-18912"><span class="mrow" id="MathJax-Span-18913"><span class="mi" id="MathJax-Span-18914" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-18915" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-18916" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-18917" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-18918" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-18919" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-18920" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-18921" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-18922" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-18923" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-18924" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-18925" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-18926" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-18927" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-18928" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-18929" style="font-family: STIXGeneral-Italic;">g</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 10px;"><span class="mn" id="MathJax-Span-18930" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-18931" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-18932" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.2px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-18933" style="font-family: STIXGeneral-Italic;">u</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-18934" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-18935" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-18936" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-18937" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18938" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18939" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; 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overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-18949" style="font-family: STIXGeneral-Italic;">N<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.2px;"></span></span><span class="mi" id="MathJax-Span-18950" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-18951" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-18952" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mo" id="MathJax-Span-18953" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-18954" style="font-family: STIXGeneral-Italic;">a</span><span class="mo" id="MathJax-Span-18955" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-18956" style="font-family: STIXGeneral-Regular; 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position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.2px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-18979" style="font-family: STIXGeneral-Italic;">u</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-18980" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-18981" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-18982" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-18983" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-18984" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-18985" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-18986" style="font-family: STIXGeneral-Italic;">D</span><span class="mi" id="MathJax-Span-18987" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-18988" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; 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font-style: italic; padding-left: 0.188em;" id="MathJax-Span-19059" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19060" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19061" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19062" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19063" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19064" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19065" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19066" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19067" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-19068" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-19069" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19070" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19071" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19072" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19073" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19074" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19075" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19076" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19077" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-19078" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19079" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19080" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19081" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19082" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19083" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19084" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19085" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19086" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.614em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 4.138em; vertical-align: -3.22em;"></span></span></nobr></span><script id="MathJax-Element-612" type="math/tex">\begin{array}[t]{l}
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overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-19131" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-19132" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-19133" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-19134" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-19135" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-19136" style="padding-left: 3.6px;"><span style="display: inline-block; 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overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-19162" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-19163"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-19164" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-19165" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-19166" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-19167" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mi" id="MathJax-Span-19168" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-19169" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; 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overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-19181" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-19182"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-19183" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-19184" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-19185" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-19186" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-19187" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-19188" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; 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top: -1.287em; left: 0em;"><span id="MathJax-Span-19111" class="mtd"><span id="MathJax-Span-19112" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-19113" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19114" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19115" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19116" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19117" class="mi">D</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19118" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19119" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19120" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19121" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19122" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19123" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19124" class="mi">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.034em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19125" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19126" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19127" class="mi">m</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19128" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19129" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19130" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19131" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-19132" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19133" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-19134" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19135" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-19136" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19137" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-19138" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19139" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-19140" class="mo">−</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19141" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-19142" class="mo">−</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19143" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-19144" class="mo">−</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19145" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-19146" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19147" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19148" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19149" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19150" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19151" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.717em, 1000em, 2.952em, -0.526em); top: 0.018em; left: 0em;"><span id="MathJax-Span-19152" class="mtd"><span id="MathJax-Span-19153" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-19154" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19155" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-19156" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19157" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19158" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19159" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19160" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19161" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19162" class="mo">(</span><span id="MathJax-Span-19163" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19164" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-19165" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19166" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-19167" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19168" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19169" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19170" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19171" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19172" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19173" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-19174" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-19175" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19176" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19177" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19178" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19179" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19180" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19181" class="mo">(</span><span id="MathJax-Span-19182" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19183" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-19184" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19185" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-19186" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19187" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19188" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19189" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19190" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19191" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19192" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19193" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19194" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.498em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 3.972em; vertical-align: -3.053em;"></span></span></nobr></span><script id="MathJax-Element-613" type="math/tex">\begin{array}[t]{l}
 \forall id,e_2,e_1,attrs.~
 \\
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overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-19203" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-19204" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-19205" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-19206" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-19207" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-19208" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-19209" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-19210" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-19211" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; 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overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-19224" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-19225" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-19226" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-19227" style="font-family: STIXGeneral-Italic;">b</span><span class="mi" id="MathJax-Span-19228" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-19229" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-19230" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-19231" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-19232" style="font-family: STIXGeneral-Italic;">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.5px;"></span></span><span class="mi" id="MathJax-Span-19233" style="font-family: STIXGeneral-Italic;">o</span><span class="mo" id="MathJax-Span-19234" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-19235" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-19236" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-19237" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-19238" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-19239" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-19240" style="font-family: STIXGeneral-Italic; 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width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.9px 19360px 56px -9px); top: 2.7px; left: 0px;"><span class="mtd" id="MathJax-Span-19249"><span class="mrow" id="MathJax-Span-19250"><span class="mspace" id="MathJax-Span-19251" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-19252" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-19253" style="font-family: STIXGeneral-Italic; padding-left: 6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-19254" style="font-family: STIXGeneral-Italic;">y</span><span class="mi" id="MathJax-Span-19255" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-19256" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-19257" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-19258" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-19259" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-19260" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-19261" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-19262" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mi" id="MathJax-Span-19263" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-19264" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-19265" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-19266" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-19267" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-19268" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-19269" style="font-family: STIXGeneral-Regular; 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padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-19281" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-19282" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-19283" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-19284" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-19285" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 88px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 73.2px; vertical-align: -56.8px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-614">\begin{array}[t]{l}
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font-style: italic;" id="MathJax-Span-19210" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19211" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19212" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19213" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19214" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-19215" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: -1.231em; left: 0em;"><span id="MathJax-Span-19216" class="mtd"><span id="MathJax-Span-19217" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-19218" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19219" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19220" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19221" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19222" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19223" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19224" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19225" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19226" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19227" class="mi">b</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19228" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19229" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19230" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19231" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19232" class="mi">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.077em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19233" class="mi">o</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19234" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19235" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19236" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19237" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-19238" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19239" class="mo">,</span><span style="font-family: STIXGeneral; 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 \quad\Rightarrow
 typeOf(e,entity) \wedge typeOf(ag,agent)
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padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-19304" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-19305" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-19306" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-19307" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-19308" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-19309" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -22.1px; left: 0px;"><span class="mtd" id="MathJax-Span-19310"><span class="mrow" id="MathJax-Span-19311"><span class="mspace" id="MathJax-Span-19312" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-19313" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-19314" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-19315" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-19316" style="font-family: STIXGeneral-Italic;">N<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.2px;"></span></span><span class="mi" id="MathJax-Span-19317" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-19318" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-19319" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mo" id="MathJax-Span-19320" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-19321" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-19322" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mo" id="MathJax-Span-19323" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-19324" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-19325" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-19326" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-19327" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-19328" style="font-family: STIXGeneral-Italic;">A</span><span class="mi" id="MathJax-Span-19329" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-19330" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-19331" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-19332" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-19333" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-19334" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-19335" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-19336" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-19337" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-19338" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mi" id="MathJax-Span-19339" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-19340" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-19341" style="font-family: STIXGeneral-Italic;">h</span><span class="mo" id="MathJax-Span-19342" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-19343" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-19344" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-19345" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-19346" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-19347" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-19348" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-19349" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-19350" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-19351" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">p</span><span class="mi" id="MathJax-Span-19352" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mo" id="MathJax-Span-19353" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-19354" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-19355" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-19356" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-19357" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-19358" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-19359" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.8px 19360px 56px -9px); top: 2.8px; left: 0px;"><span class="mtd" id="MathJax-Span-19360"><span class="mrow" id="MathJax-Span-19361"><span class="mspace" id="MathJax-Span-19362" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-19363" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-19364" style="font-family: STIXGeneral-Italic; padding-left: 6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-19365" style="font-family: STIXGeneral-Italic;">y</span><span class="mi" id="MathJax-Span-19366" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-19367" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-19368" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-19369" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-19370" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-19371" style="font-family: STIXGeneral-Italic;">a</span><span class="mo" id="MathJax-Span-19372" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-19373" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-19374" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-19375" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-19376" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-19377" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-19378" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-19379" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-19380" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-19381" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-19382" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-19383" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-19384" style="font-family: STIXGeneral-Italic;">y</span><span class="mi" id="MathJax-Span-19385" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-19386" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-19387" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-19388" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-19389" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-19390" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-19391" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-19392" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-19393" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-19394" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-19395" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-19396" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-19397" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-19398" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-19399" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-19400" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-19401" style="font-family: STIXGeneral-Italic;">y</span><span class="mi" id="MathJax-Span-19402" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-19403" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-19404" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-19405" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-19406" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-19407" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-19408" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mo" id="MathJax-Span-19409" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-19410" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mi" id="MathJax-Span-19411" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-19412" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-19413" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-19414" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; 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+\end{array}</script></li><li><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-615-Frame" class="MathJax"><nobr><span id="MathJax-Span-19286" class="math"><span style="display: inline-block; position: relative; width: 454px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.105em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-19287" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-19288" class="mtable"><span style="display: inline-block; position: relative; width: 26.168em; height: 0px;"><span style="position: absolute; clip: rect(3.698em, 1000em, 7.616em, -0.526em); top: -4.556em; left: 0em;"><span style="display: inline-block; position: relative; width: 26.168em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-19289" class="mtd"><span id="MathJax-Span-19290" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-19291" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19292" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19293" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19294" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-19295" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19296" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-19297" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19298" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19299" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-19300" class="mi">p</span><span style="font-family: STIXGeneral; 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padding-left: 0.188em;" id="MathJax-Span-19309" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: -1.231em; left: 0em;"><span id="MathJax-Span-19310" class="mtd"><span id="MathJax-Span-19311" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-19312" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19313" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19314" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19315" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19316" class="mi">N<span style="display: inline-block; 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height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19341" class="mi">h</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19342" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19343" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19344" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19345" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-19346" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19347" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-19348" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19349" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19350" class="mo">,</span><span style="font-family: STIXGeneral; 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font-style: italic; padding-left: 0.25em;" id="MathJax-Span-19383" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19384" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19385" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19386" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19387" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19388" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19389" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19390" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19391" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19392" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-19393" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19394" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19395" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19396" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19397" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19398" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-19399" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-19400" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19401" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19402" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19403" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19404" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19405" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19406" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19407" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19408" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19409" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-19410" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19411" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19412" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19413" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19414" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19415" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19416" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.556em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 4.068em; vertical-align: -3.149em;"></span></span></nobr></span><script id="MathJax-Element-615" type="math/tex">\begin{array}[t]{l}
 \forall id,a,ag,pl,attrs.~
 \\
 \qquad notNull(pl) \wedge wasAssociatedWith(id,a,ag,pl,attrs)
 \\
 \quad\Rightarrow
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padding-left: 6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-19480" style="font-family: STIXGeneral-Italic;">y</span><span class="mi" id="MathJax-Span-19481" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-19482" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-19483" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-19484" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-19485" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-19486" style="font-family: STIXGeneral-Italic;">a</span><span class="mo" id="MathJax-Span-19487" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-19488" style="font-family: STIXGeneral-Italic; 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font-style: italic;" id="MathJax-Span-19423" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19424" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19425" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-19426" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19427" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-19428" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19429" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19430" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-19431" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19432" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19433" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19434" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19435" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19436" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-19437" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: -1.231em; left: 0em;"><span id="MathJax-Span-19438" class="mtd"><span id="MathJax-Span-19439" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-19440" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19441" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19442" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19443" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19444" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19445" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19446" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19447" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19448" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19449" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19450" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19451" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19452" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19453" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19454" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19455" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19456" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19457" class="mi">h</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19458" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19459" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19460" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19461" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-19462" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19463" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-19464" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19465" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19466" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-19467" class="mo">−</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19468" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-19469" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19470" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19471" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19472" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19473" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19474" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.717em, 1000em, 2.952em, -0.526em); top: 0.103em; left: 0em;"><span id="MathJax-Span-19475" class="mtd"><span id="MathJax-Span-19476" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-19477" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19478" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-19479" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19480" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19481" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19482" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19483" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19484" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19485" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19486" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19487" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-19488" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19489" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19490" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19491" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19492" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19493" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19494" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19495" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19496" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-19497" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-19498" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19499" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19500" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19501" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19502" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19503" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19504" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19505" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19506" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19507" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-19508" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19509" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19510" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19511" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19512" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19513" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.556em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 4.063em; vertical-align: -3.144em;"></span></span></nobr></span><script id="MathJax-Element-616" type="math/tex">\begin{array}[t]{l}
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 \\
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overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-19522" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-19523" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="msubsup" id="MathJax-Span-19524"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-19525" style="font-family: STIXGeneral-Italic;">g</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 10px;"><span class="mn" id="MathJax-Span-19526" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-19527" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-19528" style="font-family: STIXGeneral-Italic; 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padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-19536" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-19537" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-19538" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-19539" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-19540" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-19541" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55.7px -9px); top: -21.4px; left: 0px;"><span class="mtd" id="MathJax-Span-19542"><span class="mrow" id="MathJax-Span-19543"><span class="mspace" id="MathJax-Span-19544" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-19545" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-19546" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-19547" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-19548" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-19549" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-19550" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-19551" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-19552" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-19553" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-19554" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-19555" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-19556" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-19557" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-19558" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-19559" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-19560" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-19561" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-19562" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-19563" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-19564" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="msubsup" id="MathJax-Span-19565"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-19566" style="font-family: STIXGeneral-Italic;">g</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 10px;"><span class="mn" id="MathJax-Span-19567" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-19568" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-19569" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="msubsup" id="MathJax-Span-19570"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -8.8px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-19571" style="font-family: STIXGeneral-Italic;">g</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -37.3px; left: 10px;"><span class="mn" id="MathJax-Span-19572" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-19573" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-19574" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mo" id="MathJax-Span-19575" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-19576" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-19577" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; 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padding-left: 6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-19587" style="font-family: STIXGeneral-Italic;">y</span><span class="mi" id="MathJax-Span-19588" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-19589" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-19590" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-19591" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-19592" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-19593" style="font-family: STIXGeneral-Italic;">a</span><span class="msubsup" id="MathJax-Span-19594"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; 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width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19527" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-19528" class="mi">a</span><span id="MathJax-Span-19529" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.951em, -0.518em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19530" class="mi">g</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.861em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-19531" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19532" class="mo">,</span><span style="font-family: STIXGeneral; 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padding-left: 0.188em;" id="MathJax-Span-19541" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.987em, -0.526em); top: -1.196em; left: 0em;"><span id="MathJax-Span-19542" class="mtd"><span id="MathJax-Span-19543" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-19544" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19545" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19546" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19547" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19548" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19549" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19550" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19551" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19552" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19553" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19554" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19555" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19556" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19557" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19558" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19559" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19560" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19561" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19562" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19563" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-19564" class="mi">a</span><span id="MathJax-Span-19565" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.951em, -0.518em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19566" class="mi">g</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.861em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-19567" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19568" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-19569" class="mi">a</span><span id="MathJax-Span-19570" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.951em, -0.518em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19571" class="mi">g</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.861em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-19572" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19573" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-19574" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19575" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-19576" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19577" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19578" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19579" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19580" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19581" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.717em, 1000em, 2.987em, -0.526em); top: 0.174em; left: 0em;"><span id="MathJax-Span-19582" class="mtd"><span id="MathJax-Span-19583" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-19584" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19585" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-19586" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19587" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19588" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19589" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19590" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19591" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19592" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19593" class="mi">a</span><span id="MathJax-Span-19594" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.951em, -0.518em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19595" class="mi">g</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.861em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-19596" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19597" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-19598" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19599" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19600" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19601" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19602" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19603" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-19604" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-19605" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19606" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19607" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19608" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19609" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19610" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19611" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19612" class="mi">a</span><span id="MathJax-Span-19613" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.951em, -0.518em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19614" class="mi">g</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.861em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-19615" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19616" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-19617" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19618" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19619" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19620" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19621" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19622" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-19623" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-19624" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19625" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19626" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19627" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19628" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19629" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19630" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19631" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19632" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-19633" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19634" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19635" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19636" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19637" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19638" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19639" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19640" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19641" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.673em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 4.175em; vertical-align: -3.257em;"></span></span></nobr></span><script id="MathJax-Element-617" type="math/tex">\begin{array}[t]{l}
 \forall id,ag_2,ag_1,a,attrs.~
 \\
 \qquad actedOnBehalfOf(id,ag_2,ag_1,a,attrs)
 \\
 \quad\Rightarrow
 typeOf(ag_2,agent) \wedge typeOf(ag_1,agent) \wedge typeOf(a,activity)
-\end{array}</script></li><li><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-618-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-19642"><span style="display: inline-block; position: relative; width: 333px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 98.7px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-19643"><span class="mtable" id="MathJax-Span-19644" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 327px; height: 0px;"><span style="position: absolute; clip: rect(71.2px 19360px 144.7px -9px); top: -87px; left: 0px;"><span style="display: inline-block; position: relative; width: 327px; height: 0px;"><span style="position: absolute; clip: rect(32.2px 19360px 53.9px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-19645"><span class="mrow" id="MathJax-Span-19646"><span class="mi" id="MathJax-Span-19647" style="font-family: STIXGeneral-Regular;">∀</span><span class="msubsup" id="MathJax-Span-19648"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-19649" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-19650" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-19651" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-19652" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-19653" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-19654" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-19655" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-19656" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -23.2px; left: 0px;"><span class="mtd" id="MathJax-Span-19657"><span class="mrow" id="MathJax-Span-19658"><span class="mspace" id="MathJax-Span-19659" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-19660" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-19661" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-19662" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-19663" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-19664" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-19665" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-19666" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-19667" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-19668" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-19669" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-19670" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-19671" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-19672"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-19673" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-19674" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-19675" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-19676" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-19677" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-19678" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-19679" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.9px 19360px 56px -9px); top: 1.7px; left: 0px;"><span class="mtd" id="MathJax-Span-19680"><span class="mrow" id="MathJax-Span-19681"><span class="mspace" id="MathJax-Span-19682" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-19683" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-19684" style="font-family: STIXGeneral-Italic; padding-left: 6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-19685" style="font-family: STIXGeneral-Italic;">y</span><span class="mi" id="MathJax-Span-19686" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-19687" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-19688" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-19689" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-19690" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-19691"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-19692" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-19693" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-19694" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-19695" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mi" id="MathJax-Span-19696" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-19697" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-19698" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-19699" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-19700" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-19701" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-19702" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-19703" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-19704" style="font-family: STIXGeneral-Italic;">y</span><span class="mi" id="MathJax-Span-19705" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-19706" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-19707" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-19708" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-19709" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-19710"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-19711" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-19712" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-19713" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-19714" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mi" id="MathJax-Span-19715" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-19716" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-19717" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-19718" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-19719" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-19720" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 87px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 72.2px; vertical-align: -55.7px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-618">\begin{array}[t]{l}
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position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19649" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-19650" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19651" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-19652" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19653" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-19654" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19655" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-19656" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.526em); top: -1.287em; left: 0em;"><span id="MathJax-Span-19657" class="mtd"><span id="MathJax-Span-19658" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-19659" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19660" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19661" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19662" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19663" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19664" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19665" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19666" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19667" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19668" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19669" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19670" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19671" class="mo">(</span><span id="MathJax-Span-19672" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19673" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-19674" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19675" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-19676" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19677" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-19678" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19679" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.717em, 1000em, 2.952em, -0.526em); top: 0.048em; left: 0em;"><span id="MathJax-Span-19680" class="mtd"><span id="MathJax-Span-19681" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-19682" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19683" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-19684" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19685" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19686" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19687" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19688" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19689" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19690" class="mo">(</span><span id="MathJax-Span-19691" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19692" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-19693" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19694" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-19695" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19696" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19697" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19698" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19699" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19700" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19701" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-19702" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-19703" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19704" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19705" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19706" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19707" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19708" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19709" class="mo">(</span><span id="MathJax-Span-19710" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19711" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-19712" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19713" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-19714" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19715" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19716" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19717" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19718" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19719" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19720" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.498em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 4.004em; vertical-align: -3.085em;"></span></span></nobr></span><script id="MathJax-Element-618" type="math/tex">\begin{array}[t]{l}
 \forall e_2,e_1.~
 \\
 \qquad alternateOf(e_2,e_1)
 \\
 \quad\Rightarrow
 typeOf(e_2,entity) \wedge typeOf(e_1,entity)
-\end{array}</script></li><li><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-619-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-19721"><span style="display: inline-block; position: relative; width: 333px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 98.7px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-19722"><span class="mtable" id="MathJax-Span-19723" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 327px; height: 0px;"><span style="position: absolute; clip: rect(71.2px 19360px 144.7px -9px); top: -87px; left: 0px;"><span style="display: inline-block; position: relative; width: 327px; height: 0px;"><span style="position: absolute; clip: rect(32.2px 19360px 53.9px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-19724"><span class="mrow" id="MathJax-Span-19725"><span class="mi" id="MathJax-Span-19726" style="font-family: STIXGeneral-Regular;">∀</span><span class="msubsup" id="MathJax-Span-19727"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-19728" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-19729" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-19730" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-19731" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-19732" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-19733" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-19734" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-19735" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -23.2px; left: 0px;"><span class="mtd" id="MathJax-Span-19736"><span class="mrow" id="MathJax-Span-19737"><span class="mspace" id="MathJax-Span-19738" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-19739" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-19740" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-19741" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-19742" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-19743" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-19744" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-19745" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-19746" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-19747" style="font-family: STIXGeneral-Italic;">z</span><span class="mi" id="MathJax-Span-19748" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-19749" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-19750" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-19751" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-19752" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-19753" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-19754" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-19755" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-19756"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-19757" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-19758" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-19759" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-19760" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-19761" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-19762" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-19763" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.9px 19360px 56px -9px); top: 1.7px; left: 0px;"><span class="mtd" id="MathJax-Span-19764"><span class="mrow" id="MathJax-Span-19765"><span class="mspace" id="MathJax-Span-19766" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-19767" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-19768" style="font-family: STIXGeneral-Italic; padding-left: 6px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-19769" style="font-family: STIXGeneral-Italic;">y</span><span class="mi" id="MathJax-Span-19770" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-19771" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-19772" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-19773" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-19774" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-19775"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-19776" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-19777" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-19778" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-19779" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mi" id="MathJax-Span-19780" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-19781" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-19782" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-19783" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-19784" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-19785" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-19786" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-19787" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-19788" style="font-family: STIXGeneral-Italic;">y</span><span class="mi" id="MathJax-Span-19789" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-19790" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-19791" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-19792" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-19793" style="font-family: STIXGeneral-Regular;">(</span><span class="msubsup" id="MathJax-Span-19794"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-19795" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-19796" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-19797" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-19798" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mi" id="MathJax-Span-19799" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-19800" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-19801" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-19802" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-19803" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-19804" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 87px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 72.2px; vertical-align: -55.7px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-619">\begin{array}[t]{l}
+\end{array}</script></li><li><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-619-Frame" class="MathJax"><nobr><span id="MathJax-Span-19721" class="math"><span style="display: inline-block; position: relative; width: 308px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.045em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-19722" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-19723" class="mtable"><span style="display: inline-block; position: relative; width: 17.64em; height: 0px;"><span style="position: absolute; clip: rect(3.66em, 1000em, 7.498em, -0.526em); top: -4.498em; left: 0em;"><span style="display: inline-block; position: relative; width: 17.64em; height: 0px;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.895em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-19724" class="mtd"><span id="MathJax-Span-19725" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-19726" class="mi">∀</span><span id="MathJax-Span-19727" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19728" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-19729" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19730" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-19731" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19732" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-19733" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19734" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-19735" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.526em); top: -1.287em; left: 0em;"><span id="MathJax-Span-19736" class="mtd"><span id="MathJax-Span-19737" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-19738" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19739" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19740" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19741" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19742" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19743" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19744" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19745" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19746" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19747" class="mi">z</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19748" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19749" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19750" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19751" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19752" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19753" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19754" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19755" class="mo">(</span><span id="MathJax-Span-19756" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19757" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-19758" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19759" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-19760" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19761" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-19762" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19763" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.717em, 1000em, 2.952em, -0.526em); top: 0.048em; left: 0em;"><span id="MathJax-Span-19764" class="mtd"><span id="MathJax-Span-19765" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-19766" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19767" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-19768" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19769" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19770" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19771" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19772" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19773" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19774" class="mo">(</span><span id="MathJax-Span-19775" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; 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font-style: italic;" id="MathJax-Span-19885" class="mi">c</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19886" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-19887" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: -1.37em; left: 0em;"><span id="MathJax-Span-19888" class="mtd"><span id="MathJax-Span-19889" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-19890" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19891" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19892" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19893" class="mi">t<span style="display: inline-block; 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font-style: italic; padding-left: 0.313em;" id="MathJax-Span-19911" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19912" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19913" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19914" class="mi">v</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-19915" class="mo">:</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-19916" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19917" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19918" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19919" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19920" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19921" class="mi">C<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.022em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19922" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19923" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19924" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19925" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19926" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19927" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19928" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19929" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19930" class="mi">n</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19931" class="mo">]</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19932" class="mo">)</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19933" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.526em); top: -0.031em; left: 0em;"><span id="MathJax-Span-19934" class="mtd"><span id="MathJax-Span-19935" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-19936" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19937" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-19938" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19939" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19940" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19941" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19942" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19943" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19944" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19945" class="mi">c</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19946" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-19947" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19948" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19949" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19950" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19951" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19952" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19953" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-19954" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-19955" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19956" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19957" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19958" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19959" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19960" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19961" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19962" class="mi">c</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19963" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-19964" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19965" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19966" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19967" class="mi">v</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-19968" class="mo">:</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-19969" class="mi">C<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.022em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19970" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19971" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19972" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19973" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19974" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19975" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19976" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19977" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19978" class="mi">n</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19979" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-19980" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-19981" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19982" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19983" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19984" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19985" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19986" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-19987" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19988" class="mi">c</span><span style="font-family: STIXGeneral;" id="MathJax-Span-19989" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-19990" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19991" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19992" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19993" class="mi">v</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-19994" class="mo">:</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-19995" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19996" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19997" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19998" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-19999" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20000" class="mi">C<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.022em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20001" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20002" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20003" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20004" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20005" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20006" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20007" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20008" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20009" class="mi">n</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20010" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.381em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 3.919em; vertical-align: -3.001em;"></span></span></nobr></span><script id="MathJax-Element-621" type="math/tex">\begin{array}[t]{l}
 \forall c.~
 \\
 \qquad entity(c,[prov:type = prov:emptyCollection]))
@@ -2829,21 +2829,21 @@
 <section id="impossibility-constraints">
 <h4><span class="secno">5.2.4 </span>Impossibility constraints</h4>
 
-<div class="constraint" number="51" id="impossible-unspecified-derivation-generation-use"><div class="ruleTitle"><a class="internalDFN" href="#impossible-unspecified-derivation-generation-use">Constraint 51 (impossible-unspecified-derivation-generation-use)</a></div><ol><li><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-622-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-20011"><span style="display: inline-block; position: relative; width: 465px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 99.7px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-20012"><span class="mtable" id="MathJax-Span-20013" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 459px; height: 0px;"><span style="position: absolute; clip: rect(68.8px 19360px 140.7px -9px); top: -85px; left: 0px;"><span style="display: inline-block; position: relative; width: 459px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-20014"><span class="mrow" id="MathJax-Span-20015"><span class="mi" id="MathJax-Span-20016" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-20017" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-20018" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-20019" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-20020" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-20021" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-20022" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-20023" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-20024" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-20025" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-20026" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-20027" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-20028" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">g</span><span class="mo" id="MathJax-Span-20029" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-20030" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-20031" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20032" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20033" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-20034" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-20035" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-20036" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -22.1px; left: 0px;"><span class="mtd" id="MathJax-Span-20037"><span class="mrow" id="MathJax-Span-20038"><span class="mspace" id="MathJax-Span-20039" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-20040" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-20041" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-20042" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20043" style="font-family: STIXGeneral-Italic;">N<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.2px;"></span></span><span class="mi" id="MathJax-Span-20044" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-20045" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-20046" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mo" id="MathJax-Span-20047" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-20048" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-20049" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-20050" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-20051" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-20052" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-20053" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-20054" style="font-family: STIXGeneral-Italic;">D</span><span class="mi" id="MathJax-Span-20055" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-20056" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-20057" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-20058" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-20059" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-20060" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-20061" style="font-family: STIXGeneral-Italic;">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.7px;"></span></span><span class="mi" id="MathJax-Span-20062" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-20063" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-20064" style="font-family: STIXGeneral-Italic;">m</span><span class="mo" id="MathJax-Span-20065" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-20066" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-20067" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-20068" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-20069" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-20070" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-20071" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-20072" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-20073" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-20074" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-20075" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-20076" style="font-family: STIXGeneral-Regular;">,</span><span class="mo" id="MathJax-Span-20077" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">−</span><span class="mo" id="MathJax-Span-20078" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-20079" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">g</span><span class="mo" id="MathJax-Span-20080" style="font-family: STIXGeneral-Regular;">,</span><span class="mo" id="MathJax-Span-20081" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">−</span><span class="mo" id="MathJax-Span-20082" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-20083" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-20084" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20085" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20086" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-20087" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-20088" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.8px 19360px 52.9px -9px); top: 2.8px; left: 0px;"><span class="mtd" id="MathJax-Span-20089"><span class="mrow" id="MathJax-Span-20090"><span class="mspace" id="MathJax-Span-20091" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-20092" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-20093" style="font-family: STIXGeneral-Italic; padding-left: 6px;">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.7px;"></span></span><span class="mi" id="MathJax-Span-20094" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-20095" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-20096" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-20097" style="font-family: STIXGeneral-Italic;">e</span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 85px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 73.2px; vertical-align: -56.7px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-622">\begin{array}[t]{l}
+<div class="constraint" number="51" id="impossible-unspecified-derivation-generation-use"><div class="ruleTitle"><a href="#impossible-unspecified-derivation-generation-use" class="internalDFN">Constraint 51 (impossible-unspecified-derivation-generation-use)</a></div><ol><li><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-622-Frame" class="MathJax"><nobr><span id="MathJax-Span-20011" class="math"><span style="display: inline-block; position: relative; width: 422px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.098em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-20012" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-20013" class="mtable"><span style="display: inline-block; position: relative; width: 24.299em; height: 0px;"><span style="position: absolute; clip: rect(3.523em, 1000em, 7.279em, -0.526em); top: -4.381em; left: 0em;"><span style="display: inline-block; position: relative; width: 24.299em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-20014" class="mtd"><span id="MathJax-Span-20015" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-20016" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20017" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20018" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20019" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-20020" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20021" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-20022" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20023" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-20024" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20025" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-20026" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20027" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-20028" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20029" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-20030" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20031" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20032" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20033" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20034" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20035" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-20036" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: -1.231em; left: 0em;"><span id="MathJax-Span-20037" class="mtd"><span id="MathJax-Span-20038" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-20039" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20040" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20041" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20042" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20043" class="mi">N<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.06em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20044" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20045" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20046" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20047" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20048" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20049" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-20050" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-20051" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20052" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20053" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20054" class="mi">D</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20055" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20056" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20057" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20058" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20059" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20060" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20061" class="mi">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.034em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20062" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20063" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20064" class="mi">m</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20065" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20066" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20067" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20068" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-20069" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20070" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-20071" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20072" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-20073" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20074" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-20075" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20076" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-20077" class="mo">−</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20078" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-20079" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20080" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-20081" class="mo">−</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20082" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-20083" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20084" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20085" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20086" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20087" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20088" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.79em, -0.526em); top: 0.108em; left: 0em;"><span id="MathJax-Span-20089" class="mtd"><span id="MathJax-Span-20090" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-20091" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20092" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-20093" class="mi">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.034em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20094" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20095" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20096" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20097" class="mi">e</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.381em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 4.06em; vertical-align: -3.142em;"></span></span></nobr></span><script id="MathJax-Element-622" type="math/tex">\begin{array}[t]{l}
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overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-20106" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-20107" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-20108" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-20109" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-20110" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-20111" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-20112" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-20113" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-20114" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-20115" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">u</span><span class="mo" id="MathJax-Span-20116" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-20117" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-20118" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; 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vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-20127" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-20128" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-20129" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20130" style="font-family: STIXGeneral-Italic;">N<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.2px;"></span></span><span class="mi" id="MathJax-Span-20131" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-20132" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-20133" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mo" id="MathJax-Span-20134" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-20135" style="font-family: STIXGeneral-Italic;">u</span><span class="mo" id="MathJax-Span-20136" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-20137" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-20138" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-20139" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-20140" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-20141" style="font-family: STIXGeneral-Italic;">D</span><span class="mi" id="MathJax-Span-20142" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-20143" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-20144" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-20145" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-20146" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-20147" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-20148" style="font-family: STIXGeneral-Italic;">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.7px;"></span></span><span class="mi" id="MathJax-Span-20149" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-20150" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-20151" style="font-family: STIXGeneral-Italic;">m</span><span class="mo" id="MathJax-Span-20152" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-20153" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-20154" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-20155" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-20156" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-20157" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-20158" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-20159" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-20160" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-20161" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-20162" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-20163" style="font-family: STIXGeneral-Regular;">,</span><span class="mo" id="MathJax-Span-20164" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">−</span><span class="mo" id="MathJax-Span-20165" style="font-family: STIXGeneral-Regular;">,</span><span class="mo" id="MathJax-Span-20166" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">−</span><span class="mo" id="MathJax-Span-20167" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-20168" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">u</span><span class="mo" id="MathJax-Span-20169" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-20170" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-20171" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20172" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20173" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-20174" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-20175" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.8px 19360px 52.9px -9px); top: 1.2px; left: 0px;"><span class="mtd" id="MathJax-Span-20176"><span class="mrow" id="MathJax-Span-20177"><span class="mspace" id="MathJax-Span-20178" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-20179" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-20180" style="font-family: STIXGeneral-Italic; padding-left: 6px;">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.7px;"></span></span><span class="mi" id="MathJax-Span-20181" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-20182" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-20183" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-20184" style="font-family: STIXGeneral-Italic;">e</span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 84px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 71.6px; vertical-align: -55.1px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-623">\begin{array}[t]{l}
+\end{array}</script></li><li><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-623-Frame" class="MathJax"><nobr><span id="MathJax-Span-20098" class="math"><span style="display: inline-block; position: relative; width: 422px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.013em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-20099" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-20100" class="mtable"><span style="display: inline-block; position: relative; width: 24.299em; height: 0px;"><span style="position: absolute; clip: rect(3.464em, 1000em, 7.136em, -0.526em); top: -4.322em; left: 0em;"><span style="display: inline-block; position: relative; width: 24.299em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.895em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-20101" class="mtd"><span id="MathJax-Span-20102" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-20103" class="mi">∀</span><span style="font-family: STIXGeneral; 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height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20110" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-20111" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20112" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-20113" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20114" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-20115" class="mi">u</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20116" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-20117" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20118" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20119" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20120" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20121" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20122" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-20123" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.922em, -0.526em); top: -1.287em; left: 0em;"><span id="MathJax-Span-20124" class="mtd"><span id="MathJax-Span-20125" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-20126" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20127" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20128" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20129" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20130" class="mi">N<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.06em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20131" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20132" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20133" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20134" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20135" class="mi">u</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20136" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-20137" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-20138" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20139" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20140" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20141" class="mi">D</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20142" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20143" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20144" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20145" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20146" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20147" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20148" class="mi">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.034em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20149" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20150" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20151" class="mi">m</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20152" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20153" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20154" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20155" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-20156" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20157" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-20158" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20159" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-20160" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20161" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-20162" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20163" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-20164" class="mo">−</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20165" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-20166" class="mo">−</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20167" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-20168" class="mi">u</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20169" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-20170" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20171" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20172" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20173" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20174" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20175" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.79em, -0.526em); top: 0.023em; left: 0em;"><span id="MathJax-Span-20176" class="mtd"><span id="MathJax-Span-20177" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-20178" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20179" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-20180" class="mi">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.034em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20181" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20182" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20183" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20184" class="mi">e</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.322em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 3.97em; vertical-align: -3.051em;"></span></span></nobr></span><script id="MathJax-Element-623" type="math/tex">\begin{array}[t]{l}
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overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-20193" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-20194" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-20195" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-20196" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-20197" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-20198" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-20199" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-20200" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">2</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-20201" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-20202" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">g</span><span class="mo" id="MathJax-Span-20203" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-20204" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">u</span><span class="mo" id="MathJax-Span-20205" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-20206" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-20207" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20208" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20209" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-20210" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-20211" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-20212" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -22.1px; left: 0px;"><span class="mtd" id="MathJax-Span-20213"><span class="mrow" id="MathJax-Span-20214"><span class="mspace" id="MathJax-Span-20215" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-20216" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-20217" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-20218" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20219" style="font-family: STIXGeneral-Italic;">N<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.2px;"></span></span><span class="mi" id="MathJax-Span-20220" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-20221" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-20222" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mo" id="MathJax-Span-20223" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-20224" style="font-family: STIXGeneral-Italic;">g</span><span class="mo" id="MathJax-Span-20225" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-20226" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-20227" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">n</span><span class="mi" id="MathJax-Span-20228" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-20229" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20230" style="font-family: STIXGeneral-Italic;">N<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.2px;"></span></span><span class="mi" id="MathJax-Span-20231" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-20232" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-20233" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mo" id="MathJax-Span-20234" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-20235" style="font-family: STIXGeneral-Italic;">u</span><span class="mo" id="MathJax-Span-20236" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-20237" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-20238" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">w</span><span class="mi" id="MathJax-Span-20239" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-20240" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-20241" style="font-family: STIXGeneral-Italic;">D</span><span class="mi" id="MathJax-Span-20242" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-20243" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-20244" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-20245" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-20246" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-20247" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-20248" style="font-family: STIXGeneral-Italic;">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.7px;"></span></span><span class="mi" id="MathJax-Span-20249" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-20250" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-20251" style="font-family: STIXGeneral-Italic;">m</span><span class="mo" id="MathJax-Span-20252" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-20253" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-20254" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; 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position: relative; width: 16.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.4px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-20261" style="font-family: STIXGeneral-Italic;">e</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 8px;"><span class="mn" id="MathJax-Span-20262" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-20263" style="font-family: STIXGeneral-Regular;">,</span><span class="mo" id="MathJax-Span-20264" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">−</span><span class="mo" id="MathJax-Span-20265" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-20266" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">g</span><span class="mo" id="MathJax-Span-20267" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-20268" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">u</span><span class="mo" id="MathJax-Span-20269" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-20270" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-20271" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20272" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20273" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-20274" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-20275" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.8px 19360px 52.9px -9px); top: 2.8px; left: 0px;"><span class="mtd" id="MathJax-Span-20276"><span class="mrow" id="MathJax-Span-20277"><span class="mspace" id="MathJax-Span-20278" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-20279" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-20280" style="font-family: STIXGeneral-Italic; padding-left: 6px;">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.7px;"></span></span><span class="mi" id="MathJax-Span-20281" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-20282" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-20283" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-20284" style="font-family: STIXGeneral-Italic;">e</span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 85px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 73.2px; vertical-align: -56.7px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-624">\begin{array}[t]{l}
+\end{array}</script></li><li><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-624-Frame" class="MathJax"><nobr><span id="MathJax-Span-20185" class="math"><span style="display: inline-block; position: relative; width: 511px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.098em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-20186" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-20187" class="mtable"><span style="display: inline-block; position: relative; width: 29.498em; height: 0px;"><span style="position: absolute; clip: rect(3.523em, 1000em, 7.279em, -0.526em); top: -4.381em; left: 0em;"><span style="display: inline-block; position: relative; width: 29.498em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-20188" class="mtd"><span id="MathJax-Span-20189" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-20190" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20191" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20192" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20193" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-20194" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20195" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-20196" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20197" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-20198" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20199" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-20200" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20201" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-20202" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20203" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-20204" class="mi">u</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20205" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-20206" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20207" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20208" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20209" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20210" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20211" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-20212" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.951em, -0.526em); top: -1.231em; left: 0em;"><span id="MathJax-Span-20213" class="mtd"><span id="MathJax-Span-20214" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-20215" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20216" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20217" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20218" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20219" class="mi">N<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.06em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20220" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20221" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20222" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20223" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20224" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20225" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-20226" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-20227" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20228" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20229" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20230" class="mi">N<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.06em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20231" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20232" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20233" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20234" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20235" class="mi">u</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20236" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-20237" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-20238" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20239" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20240" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20241" class="mi">D</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20242" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20243" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20244" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20245" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20246" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20247" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20248" class="mi">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.034em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20249" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20250" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20251" class="mi">m</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20252" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20253" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20254" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20255" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-20256" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20257" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-20258" class="mn">2</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20259" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-20260" class="msubsup"><span style="display: inline-block; position: relative; width: 0.893em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.495em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20261" class="mi">e</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.467em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-20262" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20263" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-20264" class="mo">−</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20265" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-20266" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20267" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-20268" class="mi">u</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20269" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-20270" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20271" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20272" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20273" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20274" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20275" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.79em, -0.526em); top: 0.108em; left: 0em;"><span id="MathJax-Span-20276" class="mtd"><span id="MathJax-Span-20277" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-20278" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20279" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-20280" class="mi">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.034em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20281" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20282" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20283" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20284" class="mi">e</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.381em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 4.06em; vertical-align: -3.142em;"></span></span></nobr></span><script id="MathJax-Element-624" type="math/tex">\begin{array}[t]{l}
 \forall id,e_1,e_2,g,u,attrs.~
 \\
 \qquad notNull(g) \wedge notNull(u) \wedge wasDerivedFrom(id,e_2,e_1,-,g,u,attrs)
@@ -2853,10 +2853,10 @@
 \end{array}</script></li></ol></div>
 <div class="proof">
   <p>Each part follows from the fact that the semantics of
-  <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-625-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-20285"><span style="display: inline-block; position: relative; width: 135px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-20286"><span class="mi" id="MathJax-Span-20287" style="font-family: STIXGeneral-Italic;">w</span><span class="mi" id="MathJax-Span-20288" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-20289" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-20290" style="font-family: STIXGeneral-Italic;">D</span><span class="mi" id="MathJax-Span-20291" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-20292" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-20293" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-20294" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-20295" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-20296" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-20297" style="font-family: STIXGeneral-Italic;">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.7px;"></span></span><span class="mi" id="MathJax-Span-20298" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-20299" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-20300" style="font-family: STIXGeneral-Italic;">m</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.6px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-625">wasDerivedFrom</script> only allows formulas to hold when either all three
-  of <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-626-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-20301"><span style="display: inline-block; position: relative; width: 46px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-20302"><span class="mi" id="MathJax-Span-20303" style="font-family: STIXGeneral-Italic;">a</span><span class="mo" id="MathJax-Span-20304" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-20305" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">g</span><span class="mo" id="MathJax-Span-20306" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-20307" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">u</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 14.5px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-626">a,g,u</script> are <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-627-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-20308"><span style="display: inline-block; position: relative; width: 13px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(39.5px 19360px 48.7px -7.8px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-20309"><span class="mo" id="MathJax-Span-20310" style="font-family: STIXGeneral-Regular;">−</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 5.2px; vertical-align: 1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-627">-</script> (denoting <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-628-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-20311"><span style="display: inline-block; position: relative; width: 14px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.2px 19360px 51px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-20312"><span class="mi" id="MathJax-Span-20313" style="font-family: STIXGeneral-Regular;">⊥</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 14.8px; vertical-align: -1px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-628">\bot</script>) or none of them are.</p>
+  <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-625-Frame" class="MathJax"><nobr><span id="MathJax-Span-20285" class="math"><span style="display: inline-block; position: relative; width: 121px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.763em, -0.511em); top: -2.57em; left: 0em;"><span id="MathJax-Span-20286" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20287" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20288" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20289" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20290" class="mi">D</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20291" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20292" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20293" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20294" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20295" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20296" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20297" class="mi">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.034em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20298" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20299" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20300" class="mi">m</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.875em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-625" type="math/tex">wasDerivedFrom</script> only allows formulas to hold when either all three
+  of <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-626-Frame" class="MathJax"><nobr><span id="MathJax-Span-20301" class="math"><span style="display: inline-block; position: relative; width: 41px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.951em, -0.509em); top: -2.57em; left: 0em;"><span id="MathJax-Span-20302" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20303" class="mi">a</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20304" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-20305" class="mi">g</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20306" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-20307" class="mi">u</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.817em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-626" type="math/tex">a,g,u</script> are <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-627-Frame" class="MathJax"><nobr><span id="MathJax-Span-20308" class="math"><span style="display: inline-block; position: relative; width: 12px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(2.109em, 1000em, 2.625em, -0.462em); top: -2.57em; left: 0em;"><span id="MathJax-Span-20309" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-20310" class="mo">−</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.303em; vertical-align: 0.066em;"></span></span></nobr></span><script id="MathJax-Element-627" type="math/tex">-</script> (denoting <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-628-Frame" class="MathJax"><nobr><span id="MathJax-Span-20311" class="math"><span style="display: inline-block; position: relative; width: 12px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.745em, -0.478em); top: -2.57em; left: 0em;"><span id="MathJax-Span-20312" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-20313" class="mi">⊥</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.833em; vertical-align: -0.063em;"></span></span></nobr></span><script id="MathJax-Element-628" type="math/tex">\bot</script>) or none of them are.</p>
   </div>
-<div class="constraint" number="52" id="impossible-specialization-reflexive"><div class="ruleTitle"><a class="internalDFN" href="#impossible-specialization-reflexive">Constraint 52 (impossible-specialization-reflexive)</a></div><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-629-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-20314"><span style="display: inline-block; position: relative; width: 213px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 97px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-20315"><span class="mtable" id="MathJax-Span-20316" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 207px; height: 0px;"><span style="position: absolute; clip: rect(66.2px 19360px 135px -9px); top: -82px; left: 0px;"><span style="display: inline-block; position: relative; width: 207px; height: 0px;"><span style="position: absolute; clip: rect(32.2px 19360px 51.2px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-20317"><span class="mrow" id="MathJax-Span-20318"><span class="mi" id="MathJax-Span-20319" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-20320" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-20321" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-20322" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -24.8px; left: 0px;"><span class="mtd" id="MathJax-Span-20323"><span class="mrow" id="MathJax-Span-20324"><span class="mspace" id="MathJax-Span-20325" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-20326" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-20327" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-20328" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-20329" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-20330" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-20331" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-20332" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-20333" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-20334" style="font-family: STIXGeneral-Italic;">z</span><span class="mi" id="MathJax-Span-20335" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-20336" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20337" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-20338" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-20339" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-20340" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-20341" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-20342" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-20343" style="font-family: STIXGeneral-Italic;">e</span><span class="mo" id="MathJax-Span-20344" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-20345" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-20346" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.8px 19360px 52.9px -9px); top: 0.2px; left: 0px;"><span class="mtd" id="MathJax-Span-20347"><span class="mrow" id="MathJax-Span-20348"><span class="mspace" id="MathJax-Span-20349" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-20350" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-20351" style="font-family: STIXGeneral-Italic; padding-left: 6px;">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.7px;"></span></span><span class="mi" id="MathJax-Span-20352" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-20353" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-20354" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-20355" style="font-family: STIXGeneral-Italic;">e</span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 82px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 70.5px; vertical-align: -54px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-629">\begin{array}[t]{l}
+<div class="constraint" number="52" id="impossible-specialization-reflexive"><div class="ruleTitle"><a href="#impossible-specialization-reflexive" class="internalDFN">Constraint 52 (impossible-specialization-reflexive)</a></div><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-629-Frame" class="MathJax"><nobr><span id="MathJax-Span-20314" class="math"><span style="display: inline-block; position: relative; width: 194px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 4.96em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-20315" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-20316" class="mtable"><span style="display: inline-block; position: relative; width: 10.981em; height: 0px;"><span style="position: absolute; clip: rect(3.427em, 1000em, 7.024em, -0.526em); top: -4.264em; left: 0em;"><span style="display: inline-block; position: relative; width: 10.981em; height: 0px;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.756em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-20317" class="mtd"><span id="MathJax-Span-20318" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-20319" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20320" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20321" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-20322" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.526em); top: -1.37em; left: 0em;"><span id="MathJax-Span-20323" class="mtd"><span id="MathJax-Span-20324" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-20325" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20326" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20327" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20328" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20329" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20330" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20331" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20332" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20333" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20334" class="mi">z</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20335" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20336" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20337" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20338" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20339" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20340" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20341" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20342" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20343" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20344" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-20345" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20346" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.79em, -0.526em); top: -0.03em; left: 0em;"><span id="MathJax-Span-20347" class="mtd"><span id="MathJax-Span-20348" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-20349" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20350" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-20351" class="mi">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.034em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20352" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20353" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20354" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20355" class="mi">e</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.264em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 3.913em; vertical-align: -2.994em;"></span></span></nobr></span><script id="MathJax-Element-629" type="math/tex">\begin{array}[t]{l}
 \forall e.~
 \\
 \qquad specializationOf(e,e)
@@ -2866,11 +2866,11 @@
 \end{array}</script></div>
 <div class="proof">
   <p>This follows from the fact that in the semantics of
-  <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-630-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-20356"><span style="display: inline-block; position: relative; width: 128px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-20357"><span class="mi" id="MathJax-Span-20358" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-20359" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-20360" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-20361" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-20362" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-20363" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-20364" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-20365" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-20366" style="font-family: STIXGeneral-Italic;">z</span><span class="mi" id="MathJax-Span-20367" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-20368" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20369" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-20370" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-20371" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-20372" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-20373" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-630">specializationOf</script>, the two entities denoted by the first and second
+  <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-630-Frame" class="MathJax"><nobr><span id="MathJax-Span-20356" class="math"><span style="display: inline-block; position: relative; width: 115px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.51em); top: -2.57em; left: 0em;"><span id="MathJax-Span-20357" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20358" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20359" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20360" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20361" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20362" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20363" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20364" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20365" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20366" class="mi">z</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20367" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20368" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20369" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20370" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20371" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20372" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20373" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-630" type="math/tex">specializationOf</script>, the two entities denoted by the first and second
   arguments are required to be distinct.
   </p>
   </div>
-<div class="constraint" number="53" id="impossible-property-overlap"><div class="ruleTitle"><a class="internalDFN" href="#impossible-property-overlap">Constraint 53 (impossible-property-overlap)</a></div><p>For each <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-631-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-20374"><span style="display: inline-block; position: relative; width: 8px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 51px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-20375"><span class="mi" id="MathJax-Span-20376" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.5px; vertical-align: -1px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-631">r</script>  and  <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-632-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-20377"><span style="display: inline-block; position: relative; width: 1171px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-20378"><span class="mi" id="MathJax-Span-20379" style="font-family: STIXGeneral-Italic;">s</span><span class="mo" id="MathJax-Span-20380" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mo" id="MathJax-Span-20381" style="font-family: STIXGeneral-Regular; padding-left: 6px;">{</span><span class="mi" id="MathJax-Span-20382" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-20383" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-20384" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-20385" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-20386" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-20387" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">w</span><span class="mi" id="MathJax-Span-20388" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-20389" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-20390" style="font-family: STIXGeneral-Italic;">G</span><span class="mi" id="MathJax-Span-20391" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-20392" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-20393" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-20394" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-20395" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-20396" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20397" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-20398" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-20399" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-20400" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-20401" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-20402" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">w</span><span class="mi" id="MathJax-Span-20403" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-20404" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-20405" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span class="mi" id="MathJax-Span-20406" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-20407" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-20408" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-20409" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-20410" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-20411" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-20412" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-20413" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20414" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-20415" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-20416" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-20417" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-20418" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-20419" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">w</span><span class="mi" id="MathJax-Span-20420" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-20421" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-20422" style="font-family: STIXGeneral-Italic;">S<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.2px;"></span></span><span class="mi" id="MathJax-Span-20423" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20424" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-20425" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-20426" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20427" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-20428" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-20429" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-20430" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-20431" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-20432" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">w</span><span class="mi" id="MathJax-Span-20433" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-20434" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-20435" style="font-family: STIXGeneral-Italic;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-20436" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-20437" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-20438" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-20439" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-20440" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-20441" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-20442" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-20443" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">w</span><span class="mi" id="MathJax-Span-20444" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-20445" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-20446" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span class="mi" id="MathJax-Span-20447" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-20448" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-20449" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-20450" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-20451" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-20452" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-20453" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-20454" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-20455" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-20456" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-20457" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">w</span><span class="mi" id="MathJax-Span-20458" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-20459" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-20460" style="font-family: STIXGeneral-Italic;">A</span><span class="mi" id="MathJax-Span-20461" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20462" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20463" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-20464" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-20465" style="font-family: STIXGeneral-Italic;">b</span><span class="mi" id="MathJax-Span-20466" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-20467" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20468" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-20469" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-20470" style="font-family: STIXGeneral-Italic;">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.5px;"></span></span><span class="mi" id="MathJax-Span-20471" style="font-family: STIXGeneral-Italic;">o</span><span class="mo" id="MathJax-Span-20472" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-20473" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">w</span><span class="mi" id="MathJax-Span-20474" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-20475" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-20476" style="font-family: STIXGeneral-Italic;">A</span><span class="mi" id="MathJax-Span-20477" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-20478" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-20479" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-20480" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-20481" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-20482" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-20483" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20484" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-20485" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-20486" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mi" id="MathJax-Span-20487" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-20488" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20489" style="font-family: STIXGeneral-Italic;">h</span><span class="mo" id="MathJax-Span-20490" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-20491" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-20492" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-20493" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20494" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-20495" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-20496" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-20497" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-20498" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-20499" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-20500" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-20501" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-20502" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-20503" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-20504" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-20505" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-20506" style="font-family: STIXGeneral-Regular;">}</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-632">s \in \{ used, wasGeneratedBy, wasInvalidatedBy, wasStartedBy, wasEndedBy, wasInformedBy, wasAttributedTo, wasAssociatedWith, actedOnBehalfOf\}</script> such that <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-633-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-20507"><span style="display: inline-block; position: relative; width: 8px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.5px 19360px 51px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-20508"><span class="mi" id="MathJax-Span-20509" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.5px; vertical-align: -1px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-633">r</script>  and  <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-634-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-20510"><span style="display: inline-block; position: relative; width: 7px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(36.4px 19360px 51.3px -8.7px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-20511"><span class="mi" id="MathJax-Span-20512" style="font-family: STIXGeneral-Italic;">s</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 10.8px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-634">s</script> are different relation names, the following constraint holds:</p><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-635-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-20513"><span style="display: inline-block; position: relative; width: 303px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 98.2px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-20514"><span class="mtable" id="MathJax-Span-20515" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 297px; height: 0px;"><span style="position: absolute; clip: rect(67.8px 19360px 138.2px -9px); top: -84px; left: 0px;"><span style="display: inline-block; position: relative; width: 297px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 54px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-20516"><span class="mrow" id="MathJax-Span-20517"><span class="mi" id="MathJax-Span-20518" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-20519" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-20520" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-20521" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-20522" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-20523" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-20524" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-20525" style="font-family: STIXGeneral-Regular;">,</span><span class="mo" id="MathJax-Span-20526" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">…</span><span class="mo" id="MathJax-Span-20527" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">,</span><span class="msubsup" id="MathJax-Span-20528" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 21.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-20529" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mi" id="MathJax-Span-20530" style="font-size: 70.7%; font-family: STIXGeneral-Italic;">m</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-20531" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-20532" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 51.2px -8.6px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-20533" style="font-family: STIXGeneral-Italic;">b</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-20534" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-20535" style="font-family: STIXGeneral-Regular;">,</span><span class="mo" id="MathJax-Span-20536" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">…</span><span class="mo" id="MathJax-Span-20537" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">,</span><span class="msubsup" id="MathJax-Span-20538" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 51.2px -8.6px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-20539" style="font-family: STIXGeneral-Italic;">b</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mi" id="MathJax-Span-20540" style="font-size: 70.7%; font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-20541" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-20542" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 54.4px -9px); top: -23px; left: 0px;"><span class="mtd" id="MathJax-Span-20543"><span class="mrow" id="MathJax-Span-20544"><span class="mspace" id="MathJax-Span-20545" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-20546" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mo" id="MathJax-Span-20547" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-20548" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-20549" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-20550" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-20551" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-20552" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-20553" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-20554" style="font-family: STIXGeneral-Regular;">,</span><span class="mo" id="MathJax-Span-20555" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">…</span><span class="mo" id="MathJax-Span-20556" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">,</span><span class="msubsup" id="MathJax-Span-20557" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 21.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-20558" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mi" id="MathJax-Span-20559" style="font-size: 70.7%; font-family: STIXGeneral-Italic;">m</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-20560" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-20561" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-20562" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">s</span><span class="mo" id="MathJax-Span-20563" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-20564" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-20565" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-20566" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-20567" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 51.2px -8.6px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-20568" style="font-family: STIXGeneral-Italic;">b</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-20569" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-20570" style="font-family: STIXGeneral-Regular;">,</span><span class="mo" id="MathJax-Span-20571" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">…</span><span class="mo" id="MathJax-Span-20572" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">,</span><span class="msubsup" id="MathJax-Span-20573" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 51.2px -8.6px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-20574" style="font-family: STIXGeneral-Italic;">b</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mi" id="MathJax-Span-20575" style="font-size: 70.7%; font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-20576" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.8px 19360px 52.9px -9px); top: 1.3px; left: 0px;"><span class="mtd" id="MathJax-Span-20577"><span class="mrow" id="MathJax-Span-20578"><span class="mspace" id="MathJax-Span-20579" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-20580" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-20581" style="font-family: STIXGeneral-Italic; padding-left: 6px;">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.7px;"></span></span><span class="mi" id="MathJax-Span-20582" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-20583" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-20584" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-20585" style="font-family: STIXGeneral-Italic;">e</span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 84px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 71.7px; vertical-align: -55.2px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-635">\begin{array}[t]{l}
+<div class="constraint" number="53" id="impossible-property-overlap"><div class="ruleTitle"><a href="#impossible-property-overlap" class="internalDFN">Constraint 53 (impossible-property-overlap)</a></div><p>For each <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-631-Frame" class="MathJax"><nobr><span id="MathJax-Span-20374" class="math"><span style="display: inline-block; position: relative; width: 7px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.745em, -0.481em); top: -2.57em; left: 0em;"><span id="MathJax-Span-20375" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20376" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.597em; vertical-align: -0.063em;"></span></span></nobr></span><script id="MathJax-Element-631" type="math/tex">r</script>  and  <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-632-Frame" class="MathJax"><nobr><span id="MathJax-Span-20377" class="math"><span style="display: inline-block; position: relative; width: 1050px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.51em); top: -2.57em; left: 0em;"><span id="MathJax-Span-20378" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20379" class="mi">s</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-20380" class="mo">∈</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-20381" class="mo">{</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20382" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20383" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20384" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20385" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20386" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-20387" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20388" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20389" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20390" class="mi">G</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20391" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20392" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20393" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20394" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20395" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20396" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20397" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20398" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20399" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20400" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20401" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-20402" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20403" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20404" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20405" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20406" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20407" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20408" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20409" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20410" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20411" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20412" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20413" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20414" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20415" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20416" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20417" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20418" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-20419" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20420" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20421" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20422" class="mi">S<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.008em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20423" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20424" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20425" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20426" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20427" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20428" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20429" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20430" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20431" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-20432" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20433" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20434" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20435" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20436" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20437" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20438" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20439" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20440" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20441" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20442" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-20443" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20444" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20445" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20446" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20447" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20448" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20449" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20450" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20451" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20452" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20453" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20454" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20455" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20456" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-20457" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20458" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20459" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20460" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20461" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20462" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20463" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20464" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20465" class="mi">b</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20466" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20467" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20468" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20469" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20470" class="mi">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.077em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20471" class="mi">o</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20472" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-20473" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20474" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20475" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20476" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20477" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20478" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20479" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20480" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20481" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20482" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20483" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20484" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20485" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20486" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20487" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20488" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20489" class="mi">h</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20490" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-20491" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20492" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20493" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20494" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20495" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20496" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20497" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20498" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20499" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20500" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20501" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20502" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20503" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20504" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20505" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20506" class="mo">}</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-632" type="math/tex">s \in \{ used, wasGeneratedBy, wasInvalidatedBy, wasStartedBy, wasEndedBy, wasInformedBy, wasAttributedTo, wasAssociatedWith, actedOnBehalfOf\}</script> such that <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-633-Frame" class="MathJax"><nobr><span id="MathJax-Span-20507" class="math"><span style="display: inline-block; position: relative; width: 7px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.745em, -0.481em); top: -2.57em; left: 0em;"><span id="MathJax-Span-20508" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20509" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.597em; vertical-align: -0.063em;"></span></span></nobr></span><script id="MathJax-Element-633" type="math/tex">r</script>  and  <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-634-Frame" class="MathJax"><nobr><span id="MathJax-Span-20510" class="math"><span style="display: inline-block; position: relative; width: 7px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.953em, 1000em, 2.758em, -0.51em); top: -2.57em; left: 0em;"><span id="MathJax-Span-20511" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20512" class="mi">s</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.612em; vertical-align: -0.076em;"></span></span></nobr></span><script id="MathJax-Element-634" type="math/tex">s</script> are different relation names, the following constraint holds:</p><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-635-Frame" class="MathJax"><nobr><span id="MathJax-Span-20513" class="math"><span style="display: inline-block; position: relative; width: 278px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.019em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-20514" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-20515" class="mtable"><span style="display: inline-block; position: relative; width: 15.888em; height: 0px;"><span style="position: absolute; clip: rect(3.464em, 1000em, 7.142em, -0.526em); top: -4.322em; left: 0em;"><span style="display: inline-block; position: relative; width: 15.888em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.902em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-20516" class="mtd"><span id="MathJax-Span-20517" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-20518" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20519" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20520" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20521" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-20522" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20523" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-20524" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20525" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-20526" class="mo">…</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-20527" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-20528" class="msubsup"><span style="display: inline-block; position: relative; width: 1.126em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20529" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20530" class="mi">m</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20531" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-20532" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.756em, -0.503em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20533" class="mi">b</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-20534" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20535" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-20536" class="mo">…</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-20537" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-20538" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.756em, -0.503em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20539" class="mi">b</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20540" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20541" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-20542" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.922em, -0.526em); top: -1.281em; left: 0em;"><span id="MathJax-Span-20543" class="mtd"><span id="MathJax-Span-20544" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-20545" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20546" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20547" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20548" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20549" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20550" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-20551" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20552" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-20553" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20554" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-20555" class="mo">…</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-20556" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-20557" class="msubsup"><span style="display: inline-block; position: relative; width: 1.126em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20558" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20559" class="mi">m</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20560" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-20561" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-20562" class="mi">s</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20563" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20564" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20565" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20566" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-20567" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.756em, -0.503em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20568" class="mi">b</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-20569" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20570" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-20571" class="mo">…</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-20572" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-20573" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.756em, -0.503em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20574" class="mi">b</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20575" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20576" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.79em, -0.526em); top: 0.029em; left: 0em;"><span id="MathJax-Span-20577" class="mtd"><span id="MathJax-Span-20578" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-20579" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20580" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-20581" class="mi">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.034em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20582" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20583" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20584" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20585" class="mi">e</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.322em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 3.976em; vertical-align: -3.058em;"></span></span></nobr></span><script id="MathJax-Element-635" type="math/tex">\begin{array}[t]{l}
 \forall id,a_1,\ldots,a_m,b_1,\ldots,b_n.~
 \\
 \qquad r(id,a_1,\ldots,a_m) \wedge s(id,b_1,\ldots,b_n)
@@ -2883,7 +2883,7 @@
   interactions are disjoint sets, characterized by their types.
   </p>
   </div>
-<div class="constraint" number="54" id="impossible-object-property-overlap"><div class="ruleTitle"><a class="internalDFN" href="#impossible-object-property-overlap">Constraint 54 (impossible-object-property-overlap)</a></div><p>For each <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-636-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-20586"><span style="display: inline-block; position: relative; width: 205px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -10.5px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-20587"><span class="mi" id="MathJax-Span-20588" style="font-family: STIXGeneral-Italic;">p</span><span class="mo" id="MathJax-Span-20589" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mo" id="MathJax-Span-20590" style="font-family: STIXGeneral-Regular; padding-left: 6px;">{</span><span class="mi" id="MathJax-Span-20591" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-20592" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-20593" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20594" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-20595" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20596" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-20597" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-20598" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-20599" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-20600" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20601" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-20602" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-20603" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-20604" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20605" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-20606" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-20607" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-20608" style="font-family: STIXGeneral-Italic;">g</span><span class="mi" id="MathJax-Span-20609" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-20610" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-20611" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mo" id="MathJax-Span-20612" style="font-family: STIXGeneral-Regular;">}</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-636">p \in \{entity,activity,agent\}</script>  and each <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-637-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-20613"><span style="display: inline-block; position: relative; width: 1172px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(31.8px 19360px 55px -8.1px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-20614"><span class="mi" id="MathJax-Span-20615" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mo" id="MathJax-Span-20616" style="font-family: STIXGeneral-Regular; padding-left: 6px;">∈</span><span class="mo" id="MathJax-Span-20617" style="font-family: STIXGeneral-Regular; padding-left: 6px;">{</span><span class="mi" id="MathJax-Span-20618" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-20619" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-20620" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-20621" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-20622" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-20623" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">w</span><span class="mi" id="MathJax-Span-20624" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-20625" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-20626" style="font-family: STIXGeneral-Italic;">G</span><span class="mi" id="MathJax-Span-20627" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-20628" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-20629" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-20630" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-20631" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-20632" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20633" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-20634" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-20635" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-20636" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-20637" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-20638" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">w</span><span class="mi" id="MathJax-Span-20639" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-20640" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-20641" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span class="mi" id="MathJax-Span-20642" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-20643" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-20644" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-20645" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-20646" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-20647" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-20648" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-20649" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20650" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-20651" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-20652" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-20653" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-20654" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-20655" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">w</span><span class="mi" id="MathJax-Span-20656" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-20657" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-20658" style="font-family: STIXGeneral-Italic;">S<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.2px;"></span></span><span class="mi" id="MathJax-Span-20659" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20660" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-20661" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-20662" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20663" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-20664" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-20665" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-20666" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-20667" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-20668" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">w</span><span class="mi" id="MathJax-Span-20669" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-20670" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-20671" style="font-family: STIXGeneral-Italic;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-20672" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-20673" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-20674" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-20675" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-20676" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-20677" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-20678" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-20679" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">w</span><span class="mi" id="MathJax-Span-20680" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-20681" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-20682" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span class="mi" id="MathJax-Span-20683" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-20684" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-20685" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-20686" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-20687" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-20688" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-20689" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-20690" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-20691" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-20692" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-20693" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">w</span><span class="mi" id="MathJax-Span-20694" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-20695" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-20696" style="font-family: STIXGeneral-Italic;">A</span><span class="mi" id="MathJax-Span-20697" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20698" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20699" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-20700" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-20701" style="font-family: STIXGeneral-Italic;">b</span><span class="mi" id="MathJax-Span-20702" style="font-family: STIXGeneral-Italic;">u</span><span class="mi" id="MathJax-Span-20703" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20704" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-20705" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-20706" style="font-family: STIXGeneral-Italic;">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.5px;"></span></span><span class="mi" id="MathJax-Span-20707" style="font-family: STIXGeneral-Italic;">o</span><span class="mo" id="MathJax-Span-20708" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-20709" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">w</span><span class="mi" id="MathJax-Span-20710" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-20711" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-20712" style="font-family: STIXGeneral-Italic;">A</span><span class="mi" id="MathJax-Span-20713" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-20714" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-20715" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-20716" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-20717" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-20718" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-20719" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20720" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-20721" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-20722" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mi" id="MathJax-Span-20723" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-20724" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20725" style="font-family: STIXGeneral-Italic;">h</span><span class="mo" id="MathJax-Span-20726" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-20727" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-20728" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-20729" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20730" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-20731" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mi" id="MathJax-Span-20732" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-20733" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-20734" style="font-family: STIXGeneral-Italic;">B</span><span class="mi" id="MathJax-Span-20735" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-20736" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-20737" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-20738" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-20739" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mi" id="MathJax-Span-20740" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-20741" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-20742" style="font-family: STIXGeneral-Regular;">}</span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 19.2px; vertical-align: -5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-637">r \in \{ used, wasGeneratedBy, wasInvalidatedBy, wasStartedBy, wasEndedBy, wasInformedBy, wasAttributedTo, wasAssociatedWith, actedOnBehalfOf\}</script>, the following constraint holds:</p><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-638-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-20743"><span style="display: inline-block; position: relative; width: 306px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 98.7px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-20744"><span class="mtable" id="MathJax-Span-20745" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 300px; height: 0px;"><span style="position: absolute; clip: rect(67.8px 19360px 138.7px -9px); top: -84px; left: 0px;"><span style="display: inline-block; position: relative; width: 300px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 54px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-20746"><span class="mrow" id="MathJax-Span-20747"><span class="mi" id="MathJax-Span-20748" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-20749" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-20750" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-20751" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-20752" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-20753" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-20754" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-20755" style="font-family: STIXGeneral-Regular;">,</span><span class="mo" id="MathJax-Span-20756" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">…</span><span class="mo" id="MathJax-Span-20757" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">,</span><span class="msubsup" id="MathJax-Span-20758" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 21.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-20759" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mi" id="MathJax-Span-20760" style="font-size: 70.7%; font-family: STIXGeneral-Italic;">m</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-20761" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-20762" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 51.2px -8.6px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-20763" style="font-family: STIXGeneral-Italic;">b</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-20764" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-20765" style="font-family: STIXGeneral-Regular;">,</span><span class="mo" id="MathJax-Span-20766" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">…</span><span class="mo" id="MathJax-Span-20767" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">,</span><span class="msubsup" id="MathJax-Span-20768" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 51.2px -8.6px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-20769" style="font-family: STIXGeneral-Italic;">b</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mi" id="MathJax-Span-20770" style="font-size: 70.7%; font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-20771" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-20772" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -23px; left: 0px;"><span class="mtd" id="MathJax-Span-20773"><span class="mrow" id="MathJax-Span-20774"><span class="mspace" id="MathJax-Span-20775" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-20776" style="font-family: STIXGeneral-Italic;">p</span><span class="mo" id="MathJax-Span-20777" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-20778" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-20779" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-20780" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-20781" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-20782" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-20783" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-20784" style="font-family: STIXGeneral-Regular;">,</span><span class="mo" id="MathJax-Span-20785" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">…</span><span class="mo" id="MathJax-Span-20786" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">,</span><span class="msubsup" id="MathJax-Span-20787" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 21.5px; height: 0px;"><span style="position: absolute; clip: rect(36.5px 19360px 51.2px -8.7px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-20788" style="font-family: STIXGeneral-Italic;">a</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mi" id="MathJax-Span-20789" style="font-size: 70.7%; font-family: STIXGeneral-Italic;">m</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-20790" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-20791" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-20792" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mo" id="MathJax-Span-20793" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-20794" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-20795" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-20796" style="font-family: STIXGeneral-Regular;">,</span><span class="msubsup" id="MathJax-Span-20797" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 51.2px -8.6px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-20798" style="font-family: STIXGeneral-Italic;">b</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mn" id="MathJax-Span-20799" style="font-size: 70.7%; font-family: STIXGeneral-Regular;">1</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-20800" style="font-family: STIXGeneral-Regular;">,</span><span class="mo" id="MathJax-Span-20801" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">…</span><span class="mo" id="MathJax-Span-20802" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">,</span><span class="msubsup" id="MathJax-Span-20803" style="padding-left: 3.6px;"><span style="display: inline-block; position: relative; width: 18.5px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 51.2px -8.6px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-20804" style="font-family: STIXGeneral-Italic;">b</span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -39.1px; left: 10px;"><span class="mi" id="MathJax-Span-20805" style="font-size: 70.7%; font-family: STIXGeneral-Italic;">n</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span><span class="mo" id="MathJax-Span-20806" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.8px 19360px 52.9px -9px); top: 1.9px; left: 0px;"><span class="mtd" id="MathJax-Span-20807"><span class="mrow" id="MathJax-Span-20808"><span class="mspace" id="MathJax-Span-20809" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-20810" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-20811" style="font-family: STIXGeneral-Italic; padding-left: 6px;">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.7px;"></span></span><span class="mi" id="MathJax-Span-20812" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-20813" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-20814" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-20815" style="font-family: STIXGeneral-Italic;">e</span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 84px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 72.2px; vertical-align: -55.7px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-638">\begin{array}[t]{l}
+<div class="constraint" number="54" id="impossible-object-property-overlap"><div class="ruleTitle"><a href="#impossible-object-property-overlap" class="internalDFN">Constraint 54 (impossible-object-property-overlap)</a></div><p>For each <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-636-Frame" class="MathJax"><nobr><span id="MathJax-Span-20586" class="math"><span style="display: inline-block; position: relative; width: 187px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.715em, 1000em, 2.951em, -0.601em); top: -2.57em; left: 0em;"><span id="MathJax-Span-20587" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20588" class="mi">p</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-20589" class="mo">∈</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-20590" class="mo">{</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20591" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20592" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20593" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20594" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20595" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20596" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20597" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-20598" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20599" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20600" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20601" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20602" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20603" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20604" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20605" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20606" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-20607" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20608" class="mi">g</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20609" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20610" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20611" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20612" class="mo">}</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.073em; vertical-align: -0.283em;"></span></span></nobr></span><script id="MathJax-Element-636" type="math/tex">p \in \{entity,activity,agent\}</script>  and each <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-637-Frame" class="MathJax"><nobr><span id="MathJax-Span-20613" class="math"><span style="display: inline-block; position: relative; width: 1050px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.481em); top: -2.57em; left: 0em;"><span id="MathJax-Span-20614" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20615" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-20616" class="mo">∈</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-20617" class="mo">{</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20618" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20619" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20620" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20621" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20622" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-20623" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20624" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20625" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20626" class="mi">G</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20627" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20628" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20629" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20630" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20631" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20632" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20633" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20634" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20635" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20636" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20637" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-20638" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20639" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20640" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20641" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20642" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20643" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20644" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20645" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20646" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20647" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20648" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20649" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20650" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20651" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20652" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20653" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20654" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-20655" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20656" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20657" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20658" class="mi">S<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.008em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20659" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20660" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20661" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20662" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20663" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20664" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20665" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20666" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20667" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-20668" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20669" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20670" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20671" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20672" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20673" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20674" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20675" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20676" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20677" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20678" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-20679" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20680" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20681" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20682" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20683" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20684" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20685" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20686" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20687" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20688" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20689" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20690" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20691" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20692" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-20693" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20694" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20695" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20696" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20697" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20698" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20699" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20700" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20701" class="mi">b</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20702" class="mi">u</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20703" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20704" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20705" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20706" class="mi">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.077em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20707" class="mi">o</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20708" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-20709" class="mi">w</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20710" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20711" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20712" class="mi">A</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20713" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20714" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20715" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20716" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20717" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20718" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20719" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20720" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20721" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20722" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20723" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20724" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20725" class="mi">h</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20726" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-20727" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20728" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20729" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20730" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20731" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20732" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20733" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20734" class="mi">B</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20735" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20736" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20737" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20738" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20739" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20740" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20741" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20742" class="mo">}</span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.077em; vertical-align: -0.284em;"></span></span></nobr></span><script id="MathJax-Element-637" type="math/tex">r \in \{ used, wasGeneratedBy, wasInvalidatedBy, wasStartedBy, wasEndedBy, wasInformedBy, wasAttributedTo, wasAssociatedWith, actedOnBehalfOf\}</script>, the following constraint holds:</p><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-638-Frame" class="MathJax"><nobr><span id="MathJax-Span-20743" class="math"><span style="display: inline-block; position: relative; width: 280px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.047em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-20744" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-20745" class="mtable"><span style="display: inline-block; position: relative; width: 16.005em; height: 0px;"><span style="position: absolute; clip: rect(3.523em, 1000em, 7.228em, -0.526em); top: -4.381em; left: 0em;"><span style="display: inline-block; position: relative; width: 16.005em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.902em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-20746" class="mtd"><span id="MathJax-Span-20747" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-20748" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20749" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20750" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20751" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-20752" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20753" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-20754" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20755" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-20756" class="mo">…</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-20757" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-20758" class="msubsup"><span style="display: inline-block; position: relative; width: 1.126em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20759" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20760" class="mi">m</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20761" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-20762" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.756em, -0.503em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20763" class="mi">b</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-20764" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20765" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-20766" class="mo">…</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-20767" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-20768" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.756em, -0.503em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20769" class="mi">b</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20770" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20771" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-20772" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.95em, -0.526em); top: -1.281em; left: 0em;"><span id="MathJax-Span-20773" class="mtd"><span id="MathJax-Span-20774" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-20775" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20776" class="mi">p</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20777" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20778" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20779" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20780" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-20781" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20782" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-20783" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20784" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-20785" class="mo">…</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-20786" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-20787" class="msubsup"><span style="display: inline-block; position: relative; width: 1.126em; height: 0px;"><span style="position: absolute; clip: rect(1.954em, 1000em, 2.756em, -0.509em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20788" class="mi">a</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20789" class="mi">m</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20790" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-20791" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-20792" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20793" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20794" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20795" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20796" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-20797" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.756em, -0.503em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20798" class="mi">b</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral;" id="MathJax-Span-20799" class="mn">1</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20800" class="mo">,</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-20801" class="mo">…</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-20802" class="mo">,</span><span style="padding-left: 0.188em;" id="MathJax-Span-20803" class="msubsup"><span style="display: inline-block; position: relative; width: 0.951em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.756em, -0.503em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20804" class="mi">b</span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -1.953em; left: 0.526em;"><span style="font-size: 70.7%; font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20805" class="mi">n</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20806" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.79em, -0.526em); top: 0.057em; left: 0em;"><span id="MathJax-Span-20807" class="mtd"><span id="MathJax-Span-20808" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-20809" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20810" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-20811" class="mi">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.034em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20812" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20813" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20814" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20815" class="mi">e</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.381em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 4.006em; vertical-align: -3.088em;"></span></span></nobr></span><script id="MathJax-Element-638" type="math/tex">\begin{array}[t]{l}
 \forall id,a_1,\ldots,a_m,b_1,\ldots,b_n.~
 \\
 \qquad p(id,a_1,\ldots,a_m) \wedge r(id,b_1,\ldots,b_n)
@@ -2896,7 +2896,7 @@
   from other objects (entities, activities or agents).
   </p>
   </div>
-<div class="constraint" number="55" id="entity-activity-disjoint"><div class="ruleTitle"><a class="internalDFN" href="#entity-activity-disjoint">Constraint 55 (entity-activity-disjoint)</a></div><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-639-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-20816"><span style="display: inline-block; position: relative; width: 342px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 97px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-20817"><span class="mtable" id="MathJax-Span-20818" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 336px; height: 0px;"><span style="position: absolute; clip: rect(66.8px 19360px 136px -9px); top: -83px; left: 0px;"><span style="display: inline-block; position: relative; width: 336px; height: 0px;"><span style="position: absolute; clip: rect(31.8px 19360px 51.3px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-20819"><span class="mrow" id="MathJax-Span-20820"><span class="mi" id="MathJax-Span-20821" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-20822" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-20823" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-20824" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-20825" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -24.8px; left: 0px;"><span class="mtd" id="MathJax-Span-20826"><span class="mrow" id="MathJax-Span-20827"><span class="mspace" id="MathJax-Span-20828" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-20829" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20830" style="font-family: STIXGeneral-Italic;">y</span><span class="mi" id="MathJax-Span-20831" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-20832" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-20833" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-20834" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-20835" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-20836" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-20837" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-20838" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-20839" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mi" id="MathJax-Span-20840" style="font-family: STIXGeneral-Italic;">n</span><span class="mi" id="MathJax-Span-20841" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20842" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-20843" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20844" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-20845" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-20846" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-20847" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20848" style="font-family: STIXGeneral-Italic;">y</span><span class="mi" id="MathJax-Span-20849" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-20850" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-20851" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-20852" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-20853" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-20854" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-20855" style="font-family: STIXGeneral-Italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.5px;"></span></span><span class="mo" id="MathJax-Span-20856" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-20857" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">a</span><span class="mi" id="MathJax-Span-20858" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-20859" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20860" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-20861" style="font-family: STIXGeneral-Italic;">v</span><span class="mi" id="MathJax-Span-20862" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-20863" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20864" style="font-family: STIXGeneral-Italic;">y</span><span class="mo" id="MathJax-Span-20865" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.8px 19360px 52.9px -9px); top: 0.2px; left: 0px;"><span class="mtd" id="MathJax-Span-20866"><span class="mrow" id="MathJax-Span-20867"><span class="mspace" id="MathJax-Span-20868" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-20869" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-20870" style="font-family: STIXGeneral-Italic; padding-left: 6px;">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.7px;"></span></span><span class="mi" id="MathJax-Span-20871" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-20872" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-20873" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-20874" style="font-family: STIXGeneral-Italic;">e</span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 83px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 70.5px; vertical-align: -54px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-639">\begin{array}[t]{l}
+<div class="constraint" number="55" id="entity-activity-disjoint"><div class="ruleTitle"><a href="#entity-activity-disjoint" class="internalDFN">Constraint 55 (entity-activity-disjoint)</a></div><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-639-Frame" class="MathJax"><nobr><span id="MathJax-Span-20816" class="math"><span style="display: inline-block; position: relative; width: 316px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 4.96em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-20817" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-20818" class="mtable"><span style="display: inline-block; position: relative; width: 18.107em; height: 0px;"><span style="position: absolute; clip: rect(3.406em, 1000em, 7.024em, -0.526em); top: -4.264em; left: 0em;"><span style="display: inline-block; position: relative; width: 18.107em; height: 0px;"><span style="position: absolute; clip: rect(1.712em, 1000em, 2.758em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-20819" class="mtd"><span id="MathJax-Span-20820" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-20821" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20822" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20823" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20824" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-20825" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.526em); top: -1.37em; left: 0em;"><span id="MathJax-Span-20826" class="mtd"><span id="MathJax-Span-20827" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-20828" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20829" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20830" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20831" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20832" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20833" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20834" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20835" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20836" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20837" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20838" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-20839" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20840" class="mi">n</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20841" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20842" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20843" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20844" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20845" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-20846" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-20847" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20848" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20849" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20850" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20851" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20852" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20853" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20854" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20855" class="mi">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.027em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20856" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-20857" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20858" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20859" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20860" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20861" class="mi">v</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20862" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20863" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20864" class="mi">y</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20865" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.79em, -0.526em); top: -0.03em; left: 0em;"><span id="MathJax-Span-20866" class="mtd"><span id="MathJax-Span-20867" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-20868" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20869" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-20870" class="mi">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.034em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20871" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20872" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20873" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20874" class="mi">e</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.264em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 3.913em; vertical-align: -2.994em;"></span></span></nobr></span><script id="MathJax-Element-639" type="math/tex">\begin{array}[t]{l}
 \forall id.~
 \\
 \qquad typeOf(id,entity) \wedge typeOf(id,activity)
@@ -2908,7 +2908,7 @@
   <p>This follows from the assumption that entities and activities are disjoint.
   </p>
   </div>
-<div class="constraint" number="56" id="membership-empty-collection"><div class="ruleTitle"><a class="internalDFN" href="#membership-empty-collection">Constraint 56 (membership-empty-collection)</a></div><span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-640-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-20875"><span style="display: inline-block; position: relative; width: 460px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.5px 19360px 98.5px -5.8px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-20876"><span class="mtable" id="MathJax-Span-20877" style="padding-right: 3.2px; padding-left: 3.2px;"><span style="display: inline-block; position: relative; width: 454px; height: 0px;"><span style="position: absolute; clip: rect(68.2px 19360px 138.5px -9px); top: -84px; left: 0px;"><span style="display: inline-block; position: relative; width: 454px; height: 0px;"><span style="position: absolute; clip: rect(32.2px 19360px 53.7px -9px); top: -48px; left: 0px;"><span class="mtd" id="MathJax-Span-20878"><span class="mrow" id="MathJax-Span-20879"><span class="mi" id="MathJax-Span-20880" style="font-family: STIXGeneral-Regular;">∀</span><span class="mi" id="MathJax-Span-20881" style="font-family: STIXGeneral-Italic;">c</span><span class="mo" id="MathJax-Span-20882" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-20883" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-20884" style="font-family: STIXGeneral-Regular;">.</span><span class="mtext" id="MathJax-Span-20885" style="font-family: STIXGeneral-Regular; padding-left: 3.6px;">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(31.8px 19360px 55px -9px); top: -23.3px; left: 0px;"><span class="mtd" id="MathJax-Span-20886"><span class="mrow" id="MathJax-Span-20887"><span class="mspace" id="MathJax-Span-20888" style="height: 0px; vertical-align: 0px; width: 43.6px; display: inline-block; overflow: hidden;"></span><span class="mi" id="MathJax-Span-20889" style="font-family: STIXGeneral-Italic;">h</span><span class="mi" id="MathJax-Span-20890" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-20891" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-20892" style="font-family: STIXGeneral-Italic;">M<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.8px;"></span></span><span class="mi" id="MathJax-Span-20893" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-20894" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-20895" style="font-family: STIXGeneral-Italic;">b</span><span class="mi" id="MathJax-Span-20896" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-20897" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mo" id="MathJax-Span-20898" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-20899" style="font-family: STIXGeneral-Italic;">c</span><span class="mo" id="MathJax-Span-20900" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-20901" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">e</span><span class="mo" id="MathJax-Span-20902" style="font-family: STIXGeneral-Regular;">)</span><span class="mo" id="MathJax-Span-20903" style="font-family: STIXGeneral-Regular; padding-left: 4.8px;">∧</span><span class="mi" id="MathJax-Span-20904" style="font-family: STIXGeneral-Italic; padding-left: 4.8px;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20905" style="font-family: STIXGeneral-Italic;">y</span><span class="mi" id="MathJax-Span-20906" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-20907" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-20908" style="font-family: STIXGeneral-Italic;">O</span><span class="mi" id="MathJax-Span-20909" style="font-family: STIXGeneral-Italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 2.8px;"></span></span><span class="mo" id="MathJax-Span-20910" style="font-family: STIXGeneral-Regular;">(</span><span class="mi" id="MathJax-Span-20911" style="font-family: STIXGeneral-Italic;">c</span><span class="mo" id="MathJax-Span-20912" style="font-family: STIXGeneral-Regular;">,</span><span class="mi" id="MathJax-Span-20913" style="font-family: STIXGeneral-Italic; padding-left: 3.6px;">p</span><span class="mi" id="MathJax-Span-20914" style="font-family: STIXGeneral-Italic;">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-20915" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-20916" style="font-family: STIXGeneral-Italic;">v</span><span class="mo" id="MathJax-Span-20917" style="font-family: STIXGeneral-Regular; padding-left: 6px;">:</span><span class="mi" id="MathJax-Span-20918" style="font-family: STIXGeneral-Italic; padding-left: 6px;">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-20919" style="font-family: STIXGeneral-Italic;">m</span><span class="mi" id="MathJax-Span-20920" style="font-family: STIXGeneral-Italic;">p</span><span class="mi" id="MathJax-Span-20921" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20922" style="font-family: STIXGeneral-Italic;">y</span><span class="mi" id="MathJax-Span-20923" style="font-family: STIXGeneral-Italic;">C<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.4px;"></span></span><span class="mi" id="MathJax-Span-20924" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-20925" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-20926" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-20927" style="font-family: STIXGeneral-Italic;">e</span><span class="mi" id="MathJax-Span-20928" style="font-family: STIXGeneral-Italic;">c</span><span class="mi" id="MathJax-Span-20929" style="font-family: STIXGeneral-Italic;">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.3px;"></span></span><span class="mi" id="MathJax-Span-20930" style="font-family: STIXGeneral-Italic;">i</span><span class="mi" id="MathJax-Span-20931" style="font-family: STIXGeneral-Italic;">o</span><span class="mi" id="MathJax-Span-20932" style="font-family: STIXGeneral-Italic;">n</span><span class="mo" id="MathJax-Span-20933" style="font-family: STIXGeneral-Regular;">)</span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; clip: rect(32.8px 19360px 52.9px -9px); top: 1.6px; left: 0px;"><span class="mtd" id="MathJax-Span-20934"><span class="mrow" id="MathJax-Span-20935"><span class="mspace" id="MathJax-Span-20936" style="height: 0px; vertical-align: 0px; width: 21.8px; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-20937" style="font-family: STIXGeneral-Regular;">⇒</span><span class="mi" id="MathJax-Span-20938" style="font-family: STIXGeneral-Italic; padding-left: 6px;">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.7px;"></span></span><span class="mi" id="MathJax-Span-20939" style="font-family: STIXGeneral-Italic;">a</span><span class="mi" id="MathJax-Span-20940" style="font-family: STIXGeneral-Italic;">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0px;"></span></span><span class="mi" id="MathJax-Span-20941" style="font-family: STIXGeneral-Italic;">s</span><span class="mi" id="MathJax-Span-20942" style="font-family: STIXGeneral-Italic;">e</span></span></span><span style="display: inline-block; width: 0px; height: 49px;"></span></span></span><span style="display: inline-block; width: 0px; height: 84px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 72px; vertical-align: -55.5px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-640">\begin{array}[t]{l}
+<div class="constraint" number="56" id="membership-empty-collection"><div class="ruleTitle"><a href="#membership-empty-collection" class="internalDFN">Constraint 56 (membership-empty-collection)</a></div><span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-640-Frame" class="MathJax"><nobr><span id="MathJax-Span-20875" class="math"><span style="display: inline-block; position: relative; width: 419px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.069em, 1000em, 5.034em, -0.359em); top: -2.044em; left: 0em;"><span id="MathJax-Span-20876" class="mrow"><span style="padding-right: 0.167em; padding-left: 0.167em;" id="MathJax-Span-20877" class="mtable"><span style="display: inline-block; position: relative; width: 24.124em; height: 0px;"><span style="position: absolute; clip: rect(3.485em, 1000em, 7.157em, -0.526em); top: -4.322em; left: 0em;"><span style="display: inline-block; position: relative; width: 24.124em; height: 0px;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.886em, -0.524em); top: -2.57em; left: 0em;"><span id="MathJax-Span-20878" class="mtd"><span id="MathJax-Span-20879" class="mrow"><span style="font-family: STIXGeneral;" id="MathJax-Span-20880" class="mi">∀</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20881" class="mi">c</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20882" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-20883" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20884" class="mo">.</span><span style="font-family: STIXGeneral; padding-left: 0.188em;" id="MathJax-Span-20885" class="mtext">&nbsp;</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.952em, -0.526em); top: -1.296em; left: 0em;"><span id="MathJax-Span-20886" class="mtd"><span id="MathJax-Span-20887" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 2.25em; display: inline-block; overflow: hidden;" id="MathJax-Span-20888" class="mspace"></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20889" class="mi">h</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20890" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20891" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20892" class="mi">M<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.039em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20893" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20894" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20895" class="mi">b</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20896" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20897" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20898" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20899" class="mi">c</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20900" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-20901" class="mi">e</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20902" class="mo">)</span><span style="font-family: STIXGeneral; padding-left: 0.25em;" id="MathJax-Span-20903" class="mo">∧</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.25em;" id="MathJax-Span-20904" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20905" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20906" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20907" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20908" class="mi">O</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20909" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.146em;"></span></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20910" class="mo">(</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20911" class="mi">c</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20912" class="mo">,</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.188em;" id="MathJax-Span-20913" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20914" class="mi">r<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20915" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20916" class="mi">v</span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-20917" class="mo">:</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-20918" class="mi">E<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.023em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20919" class="mi">m</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20920" class="mi">p</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20921" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20922" class="mi">y</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20923" class="mi">C<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.022em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20924" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20925" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20926" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20927" class="mi">e</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20928" class="mi">c</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20929" class="mi">t<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.018em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20930" class="mi">i</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20931" class="mi">o</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20932" class="mi">n</span><span style="font-family: STIXGeneral;" id="MathJax-Span-20933" class="mo">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; clip: rect(1.712em, 1000em, 2.79em, -0.526em); top: 0.044em; left: 0em;"><span id="MathJax-Span-20934" class="mtd"><span id="MathJax-Span-20935" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 1.125em; display: inline-block; overflow: hidden;" id="MathJax-Span-20936" class="mspace"></span><span style="font-family: STIXGeneral;" id="MathJax-Span-20937" class="mo">⇒</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-20938" class="mi">F<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.034em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20939" class="mi">a</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20940" class="mi">l<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.001em;"></span></span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20941" class="mi">s</span><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20942" class="mi">e</span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.322em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 3.992em; vertical-align: -3.073em;"></span></span></nobr></span><script id="MathJax-Element-640" type="math/tex">\begin{array}[t]{l}
 \forall c,e.~
 \\
 \qquad hasMember(c,e) \wedge typeOf(c,prov:EmptyCollection)
@@ -2929,39 +2929,39 @@
 constraints and inferences with respect to the reference semantics.
 This implies the following:
 
-</p><div class="theorem" id="soundness" data-count="32" data-title="Theorem 32 (soundness)"><div class="ruleTitle"><a class="internalDFN" href="#soundness">Theorem 32 (soundness)</a></div>
+</p><div data-title="Theorem 32 (soundness)" data-count="32" class="theorem" id="soundness"><div class="ruleTitle"><a href="#soundness" class="internalDFN">Theorem 32 (soundness)</a></div>
   <ol>
-  <li>If <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-641-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-20943"><span style="display: inline-block; position: relative; width: 7px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.4px 19360px 51px -9.2px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-20944"><span class="mi" id="MathJax-Span-20945" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 14.6px; vertical-align: -1px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-641">I</script> is an instance and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-642-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-20946"><span style="display: inline-block; position: relative; width: 49px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.2px 19360px 51.3px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-20947"><span class="mi" id="MathJax-Span-20948" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-20949" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-20950" style="font-family: STIXGeneral-Italic; padding-left: 6px;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.2px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-642">W \models I</script> and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-643-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-20951"><span style="display: inline-block; position: relative; width: 15px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.9px 19360px 44px -9.2px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-20952"><span class="msup" id="MathJax-Span-20953"><span style="display: inline-block; position: relative; width: 14.7px; height: 0px;"><span style="position: absolute; clip: rect(32.4px 19360px 51px -9.2px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-20954" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -49.4px; left: 8.3px;"><span class="mo" id="MathJax-Span-20955" style="font-size: 70.7%; font-family: STIXVariants;">′</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 17.1px; vertical-align: -1px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-643">I'</script> is obtained from <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-644-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-20956"><span style="display: inline-block; position: relative; width: 7px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.4px 19360px 51px -9.2px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-20957"><span class="mi" id="MathJax-Span-20958" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 14.6px; vertical-align: -1px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-644">I</script> by applying one
-  of the PROV inferences, then <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-645-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-20959"><span style="display: inline-block; position: relative; width: 57px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(29.9px 19360px 51.3px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-20960"><span class="mi" id="MathJax-Span-20961" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-20962" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="msup" id="MathJax-Span-20963" style="padding-left: 6px;"><span style="display: inline-block; position: relative; width: 14.7px; height: 0px;"><span style="position: absolute; clip: rect(32.4px 19360px 51px -9.2px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-20964" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -49.4px; left: 8.3px;"><span class="mo" id="MathJax-Span-20965" style="font-size: 70.7%; font-family: STIXVariants;">′</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 17.4px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-645">W \models I'</script>.</li>
-  <li>If <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-646-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-20966"><span style="display: inline-block; position: relative; width: 7px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.4px 19360px 51px -9.2px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-20967"><span class="mi" id="MathJax-Span-20968" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 14.6px; vertical-align: -1px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-646">I</script> is an instance and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-647-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-20969"><span style="display: inline-block; position: relative; width: 49px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.2px 19360px 51.3px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-20970"><span class="mi" id="MathJax-Span-20971" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-20972" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-20973" style="font-family: STIXGeneral-Italic; padding-left: 6px;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.2px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-647">W \models I</script> then <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-648-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-20974"><span style="display: inline-block; position: relative; width: 7px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.4px 19360px 51px -9.2px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-20975"><span class="mi" id="MathJax-Span-20976" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 14.6px; vertical-align: -1px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-648">I</script> has a normal
-  form <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-649-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-20977"><span style="display: inline-block; position: relative; width: 15px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.9px 19360px 44px -9.2px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-20978"><span class="msup" id="MathJax-Span-20979"><span style="display: inline-block; position: relative; width: 14.7px; height: 0px;"><span style="position: absolute; clip: rect(32.4px 19360px 51px -9.2px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-20980" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -49.4px; left: 8.3px;"><span class="mo" id="MathJax-Span-20981" style="font-size: 70.7%; font-family: STIXVariants;">′</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 17.1px; vertical-align: -1px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-649">I'</script> and   <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-650-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-20982"><span style="display: inline-block; position: relative; width: 57px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(29.9px 19360px 51.3px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-20983"><span class="mi" id="MathJax-Span-20984" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-20985" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="msup" id="MathJax-Span-20986" style="padding-left: 6px;"><span style="display: inline-block; position: relative; width: 14.7px; height: 0px;"><span style="position: absolute; clip: rect(32.4px 19360px 51px -9.2px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-20987" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -49.4px; left: 8.3px;"><span class="mo" id="MathJax-Span-20988" style="font-size: 70.7%; font-family: STIXVariants;">′</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 17.4px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-650"> W \models I'</script>.</li>
-  <li>If <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-651-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-20989"><span style="display: inline-block; position: relative; width: 7px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.4px 19360px 51px -9.2px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-20990"><span class="mi" id="MathJax-Span-20991" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 14.6px; vertical-align: -1px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-651">I</script> is a normal form and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-652-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-20992"><span style="display: inline-block; position: relative; width: 49px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.2px 19360px 51.3px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-20993"><span class="mi" id="MathJax-Span-20994" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-20995" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-20996" style="font-family: STIXGeneral-Italic; padding-left: 6px;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.2px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-652">W \models I</script> then <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-653-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-20997"><span style="display: inline-block; position: relative; width: 7px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.4px 19360px 51px -9.2px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-20998"><span class="mi" id="MathJax-Span-20999" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 14.6px; vertical-align: -1px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-653">I</script> satisfies all of the ordering,
+  <li>If <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-641-Frame" class="MathJax"><nobr><span id="MathJax-Span-20943" class="math"><span style="display: inline-block; position: relative; width: 7px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.742em, 1000em, 2.745em, -0.534em); top: -2.57em; left: 0em;"><span id="MathJax-Span-20944" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20945" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.824em; vertical-align: -0.063em;"></span></span></nobr></span><script id="MathJax-Element-641" type="math/tex">I</script> is an instance and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-642-Frame" class="MathJax"><nobr><span id="MathJax-Span-20946" class="math"><span style="display: inline-block; position: relative; width: 44px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.763em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-20947" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20948" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-20949" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-20950" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.853em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-642" type="math/tex">W \models I</script> and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-643-Frame" class="MathJax"><nobr><span id="MathJax-Span-20951" class="math"><span style="display: inline-block; position: relative; width: 13px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.09em, 1000em, 2.22em, -0.534em); top: -2.044em; left: 0em;"><span id="MathJax-Span-20952" class="mrow"><span id="MathJax-Span-20953" class="msup"><span style="display: inline-block; position: relative; width: 0.783em; height: 0px;"><span style="position: absolute; clip: rect(1.742em, 1000em, 2.745em, -0.534em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20954" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -2.483em; left: 0.474em;"><span style="font-size: 70.7%; font-family: STIXVariants;" id="MathJax-Span-20955" class="mo">′</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.959em; vertical-align: -0.063em;"></span></span></nobr></span><script id="MathJax-Element-643" type="math/tex">I'</script> is obtained from <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-644-Frame" class="MathJax"><nobr><span id="MathJax-Span-20956" class="math"><span style="display: inline-block; position: relative; width: 7px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.742em, 1000em, 2.745em, -0.534em); top: -2.57em; left: 0em;"><span id="MathJax-Span-20957" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20958" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.824em; vertical-align: -0.063em;"></span></span></nobr></span><script id="MathJax-Element-644" type="math/tex">I</script> by applying one
+  of the PROV inferences, then <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-645-Frame" class="MathJax"><nobr><span id="MathJax-Span-20959" class="math"><span style="display: inline-block; position: relative; width: 51px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.615em, 1000em, 2.763em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-20960" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20961" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-20962" class="mo">⊨</span><span style="padding-left: 0.313em;" id="MathJax-Span-20963" class="msup"><span style="display: inline-block; position: relative; width: 0.783em; height: 0px;"><span style="position: absolute; clip: rect(1.742em, 1000em, 2.745em, -0.534em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20964" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -2.483em; left: 0.474em;"><span style="font-size: 70.7%; font-family: STIXVariants;" id="MathJax-Span-20965" class="mo">′</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.978em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-645" type="math/tex">W \models I'</script>.</li>
+  <li>If <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-646-Frame" class="MathJax"><nobr><span id="MathJax-Span-20966" class="math"><span style="display: inline-block; position: relative; width: 7px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.742em, 1000em, 2.745em, -0.534em); top: -2.57em; left: 0em;"><span id="MathJax-Span-20967" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20968" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.824em; vertical-align: -0.063em;"></span></span></nobr></span><script id="MathJax-Element-646" type="math/tex">I</script> is an instance and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-647-Frame" class="MathJax"><nobr><span id="MathJax-Span-20969" class="math"><span style="display: inline-block; position: relative; width: 44px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.763em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-20970" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20971" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-20972" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-20973" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.853em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-647" type="math/tex">W \models I</script> then <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-648-Frame" class="MathJax"><nobr><span id="MathJax-Span-20974" class="math"><span style="display: inline-block; position: relative; width: 7px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.742em, 1000em, 2.745em, -0.534em); top: -2.57em; left: 0em;"><span id="MathJax-Span-20975" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20976" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.824em; vertical-align: -0.063em;"></span></span></nobr></span><script id="MathJax-Element-648" type="math/tex">I</script> has a normal
+  form <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-649-Frame" class="MathJax"><nobr><span id="MathJax-Span-20977" class="math"><span style="display: inline-block; position: relative; width: 13px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.09em, 1000em, 2.22em, -0.534em); top: -2.044em; left: 0em;"><span id="MathJax-Span-20978" class="mrow"><span id="MathJax-Span-20979" class="msup"><span style="display: inline-block; position: relative; width: 0.783em; height: 0px;"><span style="position: absolute; clip: rect(1.742em, 1000em, 2.745em, -0.534em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20980" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -2.483em; left: 0.474em;"><span style="font-size: 70.7%; font-family: STIXVariants;" id="MathJax-Span-20981" class="mo">′</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.959em; vertical-align: -0.063em;"></span></span></nobr></span><script id="MathJax-Element-649" type="math/tex">I'</script> and   <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-650-Frame" class="MathJax"><nobr><span id="MathJax-Span-20982" class="math"><span style="display: inline-block; position: relative; width: 51px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.615em, 1000em, 2.763em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-20983" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20984" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-20985" class="mo">⊨</span><span style="padding-left: 0.313em;" id="MathJax-Span-20986" class="msup"><span style="display: inline-block; position: relative; width: 0.783em; height: 0px;"><span style="position: absolute; clip: rect(1.742em, 1000em, 2.745em, -0.534em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20987" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -2.483em; left: 0.474em;"><span style="font-size: 70.7%; font-family: STIXVariants;" id="MathJax-Span-20988" class="mo">′</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.978em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-650" type="math/tex"> W \models I'</script>.</li>
+  <li>If <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-651-Frame" class="MathJax"><nobr><span id="MathJax-Span-20989" class="math"><span style="display: inline-block; position: relative; width: 7px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.742em, 1000em, 2.745em, -0.534em); top: -2.57em; left: 0em;"><span id="MathJax-Span-20990" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20991" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.824em; vertical-align: -0.063em;"></span></span></nobr></span><script id="MathJax-Element-651" type="math/tex">I</script> is a normal form and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-652-Frame" class="MathJax"><nobr><span id="MathJax-Span-20992" class="math"><span style="display: inline-block; position: relative; width: 44px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.763em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-20993" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20994" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-20995" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-20996" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.853em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-652" type="math/tex">W \models I</script> then <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-653-Frame" class="MathJax"><nobr><span id="MathJax-Span-20997" class="math"><span style="display: inline-block; position: relative; width: 7px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.742em, 1000em, 2.745em, -0.534em); top: -2.57em; left: 0em;"><span id="MathJax-Span-20998" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-20999" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.824em; vertical-align: -0.063em;"></span></span></nobr></span><script id="MathJax-Element-653" type="math/tex">I</script> satisfies all of the ordering,
   typing and impossibility constraints.
-  </li><li>If <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-654-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-21000"><span style="display: inline-block; position: relative; width: 49px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.2px 19360px 51.3px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-21001"><span class="mi" id="MathJax-Span-21002" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-21003" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-21004" style="font-family: STIXGeneral-Italic; padding-left: 6px;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.2px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-654">W \models I</script> then <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-655-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-21005"><span style="display: inline-block; position: relative; width: 7px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.4px 19360px 51px -9.2px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-21006"><span class="mi" id="MathJax-Span-21007" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 14.6px; vertical-align: -1px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-655">I</script> is valid.</li>
+  </li><li>If <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-654-Frame" class="MathJax"><nobr><span id="MathJax-Span-21000" class="math"><span style="display: inline-block; position: relative; width: 44px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.763em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-21001" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-21002" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-21003" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-21004" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.853em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-654" type="math/tex">W \models I</script> then <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-655-Frame" class="MathJax"><nobr><span id="MathJax-Span-21005" class="math"><span style="display: inline-block; position: relative; width: 7px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.742em, 1000em, 2.745em, -0.534em); top: -2.57em; left: 0em;"><span id="MathJax-Span-21006" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-21007" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.824em; vertical-align: -0.063em;"></span></span></nobr></span><script id="MathJax-Element-655" type="math/tex">I</script> is valid.</li>
   <p></p>
 </ol></div>
 <div class="proof">
   <p>For part 1, the arguments are as in the previous section.  </p>
   <p>For
   part 2, proceed by induction on a terminating sequence of inference
-  or uniqueness constraint steps: if <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-656-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-21008"><span style="display: inline-block; position: relative; width: 7px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.4px 19360px 51px -9.2px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-21009"><span class="mi" id="MathJax-Span-21010" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 14.6px; vertical-align: -1px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-656">I</script> is in normal form them we are
-  done. If <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-657-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-21011"><span style="display: inline-block; position: relative; width: 7px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.4px 19360px 51px -9.2px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-21012"><span class="mi" id="MathJax-Span-21013" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 14.6px; vertical-align: -1px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-657">I</script> is not in normal form then if an inference is  applicable, then use part 1; if a uniqueness constraint is
-  applicable, then from <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-658-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-21014"><span style="display: inline-block; position: relative; width: 49px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.2px 19360px 51.3px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-21015"><span class="mi" id="MathJax-Span-21016" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-21017" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-21018" style="font-family: STIXGeneral-Italic; padding-left: 6px;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.2px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-658">W \models I</script> the uniqueness constraint cannot
-  fail on <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-659-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-21019"><span style="display: inline-block; position: relative; width: 7px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.4px 19360px 51px -9.2px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-21020"><span class="mi" id="MathJax-Span-21021" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 14.6px; vertical-align: -1px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-659">I</script> and <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-660-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-21022"><span style="display: inline-block; position: relative; width: 57px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(29.9px 19360px 51.3px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-21023"><span class="mi" id="MathJax-Span-21024" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-21025" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="msup" id="MathJax-Span-21026" style="padding-left: 6px;"><span style="display: inline-block; position: relative; width: 14.7px; height: 0px;"><span style="position: absolute; clip: rect(32.4px 19360px 51px -9.2px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-21027" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -49.4px; left: 8.3px;"><span class="mo" id="MathJax-Span-21028" style="font-size: 70.7%; font-family: STIXVariants;">′</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 17.4px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-660">W \models I'</script>.</p>
+  or uniqueness constraint steps: if <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-656-Frame" class="MathJax"><nobr><span id="MathJax-Span-21008" class="math"><span style="display: inline-block; position: relative; width: 7px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.742em, 1000em, 2.745em, -0.534em); top: -2.57em; left: 0em;"><span id="MathJax-Span-21009" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-21010" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.824em; vertical-align: -0.063em;"></span></span></nobr></span><script id="MathJax-Element-656" type="math/tex">I</script> is in normal form them we are
+  done. If <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-657-Frame" class="MathJax"><nobr><span id="MathJax-Span-21011" class="math"><span style="display: inline-block; position: relative; width: 7px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.742em, 1000em, 2.745em, -0.534em); top: -2.57em; left: 0em;"><span id="MathJax-Span-21012" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-21013" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.824em; vertical-align: -0.063em;"></span></span></nobr></span><script id="MathJax-Element-657" type="math/tex">I</script> is not in normal form then if an inference is  applicable, then use part 1; if a uniqueness constraint is
+  applicable, then from <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-658-Frame" class="MathJax"><nobr><span id="MathJax-Span-21014" class="math"><span style="display: inline-block; position: relative; width: 44px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.763em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-21015" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-21016" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-21017" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-21018" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.853em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-658" type="math/tex">W \models I</script> the uniqueness constraint cannot
+  fail on <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-659-Frame" class="MathJax"><nobr><span id="MathJax-Span-21019" class="math"><span style="display: inline-block; position: relative; width: 7px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.742em, 1000em, 2.745em, -0.534em); top: -2.57em; left: 0em;"><span id="MathJax-Span-21020" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-21021" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.824em; vertical-align: -0.063em;"></span></span></nobr></span><script id="MathJax-Element-659" type="math/tex">I</script> and <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-660-Frame" class="MathJax"><nobr><span id="MathJax-Span-21022" class="math"><span style="display: inline-block; position: relative; width: 51px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.615em, 1000em, 2.763em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-21023" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-21024" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-21025" class="mo">⊨</span><span style="padding-left: 0.313em;" id="MathJax-Span-21026" class="msup"><span style="display: inline-block; position: relative; width: 0.783em; height: 0px;"><span style="position: absolute; clip: rect(1.742em, 1000em, 2.745em, -0.534em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-21027" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -2.483em; left: 0.474em;"><span style="font-size: 70.7%; font-family: STIXVariants;" id="MathJax-Span-21028" class="mo">′</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.978em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-660" type="math/tex">W \models I'</script>.</p>
 <p>
   For part 3, the arguments are as
   in the previous section for each constraint. </p>
   <p>Finally, for part 4,
-  suppose <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-661-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-21029"><span style="display: inline-block; position: relative; width: 49px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.2px 19360px 51.3px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-21030"><span class="mi" id="MathJax-Span-21031" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-21032" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="mi" id="MathJax-Span-21033" style="font-family: STIXGeneral-Italic; padding-left: 6px;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 15.2px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-661">W \models I</script>.  Then <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-662-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-21034"><span style="display: inline-block; position: relative; width: 57px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(29.9px 19360px 51.3px -7.6px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-21035"><span class="mi" id="MathJax-Span-21036" style="font-family: STIXGeneral-Italic;">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 1.4px;"></span></span><span class="mo" id="MathJax-Span-21037" style="font-family: STIXGeneral-Regular; padding-left: 6px;">⊨</span><span class="msup" id="MathJax-Span-21038" style="padding-left: 6px;"><span style="display: inline-block; position: relative; width: 14.7px; height: 0px;"><span style="position: absolute; clip: rect(32.4px 19360px 51px -9.2px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-21039" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -49.4px; left: 8.3px;"><span class="mo" id="MathJax-Span-21040" style="font-size: 70.7%; font-family: STIXVariants;">′</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 17.4px; vertical-align: -1.3px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-662">W \models I'</script> where <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-663-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-21041"><span style="display: inline-block; position: relative; width: 15px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.9px 19360px 44px -9.2px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-21042"><span class="msup" id="MathJax-Span-21043"><span style="display: inline-block; position: relative; width: 14.7px; height: 0px;"><span style="position: absolute; clip: rect(32.4px 19360px 51px -9.2px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-21044" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -49.4px; left: 8.3px;"><span class="mo" id="MathJax-Span-21045" style="font-size: 70.7%; font-family: STIXVariants;">′</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 17.1px; vertical-align: -1px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-663">I'</script> is the normal
-  form of <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-664-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-21046"><span style="display: inline-block; position: relative; width: 7px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.4px 19360px 51px -9.2px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-21047"><span class="mi" id="MathJax-Span-21048" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 14.6px; vertical-align: -1px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-664">I</script> by part 2.  By part 3, <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-665-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-21049"><span style="display: inline-block; position: relative; width: 15px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(22.9px 19360px 44px -9.2px); top: -41px; left: 0px;"><span class="mrow" id="MathJax-Span-21050"><span class="msup" id="MathJax-Span-21051"><span style="display: inline-block; position: relative; width: 14.7px; height: 0px;"><span style="position: absolute; clip: rect(32.4px 19360px 51px -9.2px); top: -48px; left: 0px;"><span class="mi" id="MathJax-Span-21052" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span><span style="position: absolute; top: -49.4px; left: 8.3px;"><span class="mo" id="MathJax-Span-21053" style="font-size: 70.7%; font-family: STIXVariants;">′</span><span style="display: inline-block; width: 0px; height: 42px;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 41px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 17.1px; vertical-align: -1px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-665">I'</script> satisfies all of the
-  remaining constraints, so <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-666-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-21054"><span style="display: inline-block; position: relative; width: 7px; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(32.4px 19360px 51px -9.2px); top: -48px; left: 0px;"><span class="mrow" id="MathJax-Span-21055"><span class="mi" id="MathJax-Span-21056" style="font-family: STIXGeneral-Italic;">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 1px;"></span></span></span><span style="display: inline-block; width: 0px; height: 48px;"></span></span></span><span style="border-left-width: 0px; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 14.6px; vertical-align: -1px;"></span></span></nobr></span><script type="math/tex" id="MathJax-Element-666">I</script> is valid.</p>
+  suppose <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-661-Frame" class="MathJax"><nobr><span id="MathJax-Span-21029" class="math"><span style="display: inline-block; position: relative; width: 44px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.733em, 1000em, 2.763em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-21030" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-21031" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-21032" class="mo">⊨</span><span style="font-family: STIXGeneral; font-style: italic; padding-left: 0.313em;" id="MathJax-Span-21033" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.853em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-661" type="math/tex">W \models I</script>.  Then <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-662-Frame" class="MathJax"><nobr><span id="MathJax-Span-21034" class="math"><span style="display: inline-block; position: relative; width: 51px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.615em, 1000em, 2.763em, -0.455em); top: -2.57em; left: 0em;"><span id="MathJax-Span-21035" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-21036" class="mi">W<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.073em;"></span></span><span style="font-family: STIXGeneral; padding-left: 0.313em;" id="MathJax-Span-21037" class="mo">⊨</span><span style="padding-left: 0.313em;" id="MathJax-Span-21038" class="msup"><span style="display: inline-block; position: relative; width: 0.783em; height: 0px;"><span style="position: absolute; clip: rect(1.742em, 1000em, 2.745em, -0.534em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-21039" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -2.483em; left: 0.474em;"><span style="font-size: 70.7%; font-family: STIXVariants;" id="MathJax-Span-21040" class="mo">′</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.978em; vertical-align: -0.082em;"></span></span></nobr></span><script id="MathJax-Element-662" type="math/tex">W \models I'</script> where <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-663-Frame" class="MathJax"><nobr><span id="MathJax-Span-21041" class="math"><span style="display: inline-block; position: relative; width: 13px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.09em, 1000em, 2.22em, -0.534em); top: -2.044em; left: 0em;"><span id="MathJax-Span-21042" class="mrow"><span id="MathJax-Span-21043" class="msup"><span style="display: inline-block; position: relative; width: 0.783em; height: 0px;"><span style="position: absolute; clip: rect(1.742em, 1000em, 2.745em, -0.534em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-21044" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -2.483em; left: 0.474em;"><span style="font-size: 70.7%; font-family: STIXVariants;" id="MathJax-Span-21045" class="mo">′</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.959em; vertical-align: -0.063em;"></span></span></nobr></span><script id="MathJax-Element-663" type="math/tex">I'</script> is the normal
+  form of <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-664-Frame" class="MathJax"><nobr><span id="MathJax-Span-21046" class="math"><span style="display: inline-block; position: relative; width: 7px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.742em, 1000em, 2.745em, -0.534em); top: -2.57em; left: 0em;"><span id="MathJax-Span-21047" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-21048" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.824em; vertical-align: -0.063em;"></span></span></nobr></span><script id="MathJax-Element-664" type="math/tex">I</script> by part 2.  By part 3, <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-665-Frame" class="MathJax"><nobr><span id="MathJax-Span-21049" class="math"><span style="display: inline-block; position: relative; width: 13px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.09em, 1000em, 2.22em, -0.534em); top: -2.044em; left: 0em;"><span id="MathJax-Span-21050" class="mrow"><span id="MathJax-Span-21051" class="msup"><span style="display: inline-block; position: relative; width: 0.783em; height: 0px;"><span style="position: absolute; clip: rect(1.742em, 1000em, 2.745em, -0.534em); top: -2.57em; left: 0em;"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-21052" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span><span style="position: absolute; top: -2.483em; left: 0.474em;"><span style="font-size: 70.7%; font-family: STIXVariants;" id="MathJax-Span-21053" class="mo">′</span><span style="display: inline-block; width: 0px; height: 2.103em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.044em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.959em; vertical-align: -0.063em;"></span></span></nobr></span><script id="MathJax-Element-665" type="math/tex">I'</script> satisfies all of the
+  remaining constraints, so <span class="MathJax_Preview"></span><span style="" aria-readonly="true" role="textbox" id="MathJax-Element-666-Frame" class="MathJax"><nobr><span id="MathJax-Span-21054" class="math"><span style="display: inline-block; position: relative; width: 7px; height: 0px; font-size: 107%;"><span style="position: absolute; clip: rect(1.742em, 1000em, 2.745em, -0.534em); top: -2.57em; left: 0em;"><span id="MathJax-Span-21055" class="mrow"><span style="font-family: STIXGeneral; font-style: italic;" id="MathJax-Span-21056" class="mi">I<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.051em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.57em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.824em; vertical-align: -0.063em;"></span></span></nobr></span><script id="MathJax-Element-666" type="math/tex">I</script> is valid.</p>
   </div>
 
 
   
 </section>
 
-<section class="appendix" id="acknowledgements"> 
+<section id="acknowledgements" class="appendix"> 
       <!--OddPage--><h2><span class="secno">A. </span>Acknowledgements</h2> 
       <p> 
 
@@ -3036,71 +3036,39 @@
 
  
 
-<!--  LocalWords:  px DM RL RDF AQ SEM SOTD Definitional wasInformedBy attrs ag
- -->
-<!--  LocalWords:  wasGeneratedBy wasStartedBy gAttr sAttr wasAttributedTo attr
- -->
-<!--  LocalWords:  wasAssociatedWith dAttrs gAttrs wasDerivedFrom uAttrs eAttrs
- -->
-<!--  LocalWords:  wasRevisionOf specializationOf wasQuotedFrom Traceability WD
- -->
-<!--  LocalWords:  tracedTo aAttr actedOnBehalfOf rAttr traceability TODO xsd
- -->
-<!--  LocalWords:  alternateOf wasEndedBy Lamport's timeline subfigure memberOf
- -->
-<!--  LocalWords:  wasStartedByAgent wasAttributedWith derivedByInsertionFrom
- -->
-<!--  LocalWords:  QName derivedByRemovalFrom EmptyCollection wasVersionOf dm
- -->
-<!--  LocalWords:  RecsWD formedness workflow ness operability CSP versa hyp YY
- -->
-<!--  LocalWords:  disambiguating lifecycle conformant minimalistic Lamport fo
- -->
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-<section id="references" class="appendix"><!--OddPage--><h2><span class="secno">B. </span>References</h2><section id="informative-references"><h3><span class="secno">B.1 </span>Informative references</h3><dl class="bibliography"><dt id="bib-Logic">[Logic]</dt><dd>W. E. Johnson. <a href="http://www.ditext.com/johnson/intro-3.html"><cite>Logic: Part III</cite></a>.1924. URL: <a href="http://www.ditext.com/johnson/intro-3.html">http://www.ditext.com/johnson/intro-3.html</a>
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 </dd><dt id="bib-PROV-AQ">[PROV-AQ]</dt><dd>Graham Klyne; Paul Groth; eds. <a href="http://www.w3.org/TR/2013/WD-prov-aq-20130312/"><cite>Provenance Access and Query</cite></a>. 12 March 2013, Working Draft. URL: <a href="http://www.w3.org/TR/2013/WD-prov-aq-20130312/">http://www.w3.org/TR/2013/WD-prov-aq-20130312/</a>
 </dd><dt id="bib-PROV-CONSTRAINTS">[PROV-CONSTRAINTS]</dt><dd>James Cheney; Paolo Missier; Luc Moreau; eds. <a href="http://www.w3.org/TR/2013/PR-prov-constraints-20130312/"><cite>Constraints of the PROV Data Model</cite></a>. 12 March 2013, W3C Proposed Recommendation. URL: <a href="http://www.w3.org/TR/2013/PR-prov-constraints-20130312/">http://www.w3.org/TR/2013/PR-prov-constraints-20130312/</a>
 </dd><dt id="bib-PROV-DC">[PROV-DC]</dt><dd>Daniel Garijo; Kai Eckert; eds. <a href="http://www.w3.org/TR/2013/WD-prov-dc-20130312/"><cite>Dublin Core to PROV Mapping</cite></a>. 12 March 2013, Working Draft. URL: <a href="http://www.w3.org/TR/2013/WD-prov-dc-20130312/">http://www.w3.org/TR/2013/WD-prov-dc-20130312/</a>
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 </dd><dt id="bib-PROV-PRIMER">[PROV-PRIMER]</dt><dd>Yolanda Gil; Simon Miles; eds. <a href="http://www.w3.org/TR/2013/WD-prov-primer-20130312/"><cite>PROV Model Primer</cite></a>. 12 March 2013, Working Draft. URL: <a href="http://www.w3.org/TR/2013/WD-prov-primer-20130312/">http://www.w3.org/TR/2013/WD-prov-primer-20130312/</a>
 </dd><dt id="bib-PROV-SEM">[PROV-SEM]</dt><dd>James Cheney; ed. <a href="http://www.w3.org/TR/2013/WD-prov-sem-20130312"><cite>Semantics of the PROV Data Model</cite></a>. 12 March 2013, Working Draft. URL: <a href="http://www.w3.org/TR/2013/WD-prov-sem-20130312">http://www.w3.org/TR/2013/WD-prov-sem-20130312</a>.
 </dd><dt id="bib-PROV-XML">[PROV-XML]</dt><dd>Hook Hua; Curt Tilmes; Stephan Zednik; eds. <a href="http://www.w3.org/TR/2013/WD-prov-xml-20130312/"><cite>PROV-XML: The PROV XML Schema</cite></a>. 12 March 2013, Working Draft. URL: <a href="http://www.w3.org/TR/2013/WD-prov-xml-20130312/">http://www.w3.org/TR/2013/WD-prov-xml-20130312/</a>
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