rewritten view record 5.3.3.3
authorPaolo Missier <pmissier@acm.org>
Wed, 14 Dec 2011 23:11:07 +0000
changeset 1268 36974702a512
parent 1267 e9322d835784
child 1269 9df43a6218b3
rewritten view record 5.3.3.3
.DS_Store
model/ProvenanceModel.html
model/example-graphical.graffle
Binary file .DS_Store has changed
--- a/model/ProvenanceModel.html	Wed Dec 14 16:03:51 2011 +0000
+++ b/model/ProvenanceModel.html	Wed Dec 14 23:11:07 2011 +0000
@@ -1966,35 +1966,37 @@
 
 <div class="note">This section is currently under revision and in flux</div>
 
-<p>A <dfn id="view">view record</dfn> is used to establish a relationship between two entity records, which asserts that the two records provide a different characterization of the same entity.<br/>
-
-Two versions of this relation are considered.
+<p>A <dfn id="view">view record</dfn> is used to establish a relationship between two entity records, which asserts that the two records provide a different characterization of the same entity.  One example is an entity record <span class="name">e1</span> describing "Bob, the holder of facebook account ABC", and another entity record <span class="name">e2</span> describing "Bob, the holder of twitter account XYZ". 
+
+In this case it may be desirable to assert that these two entity records indeed provide  a different characterization of the same entity. Relation
+<span class="name">ViewOf(e2,e1)</span>, where  <span class="name">e1</span>,  <span class="name">e2</span> are the two entity records involved,  is introduced to convey this meaning. </br>
+
+As we know from [entity record], each of the two entity records involved in the relation is valid within a certain time interval. The relation <span class="name">ViewOf(e2,e1)</span> itself is only meaningful if those two intervals overlap, and then only for the extent of such overlap. If the entity records are valid in disjoint intervals, the <span class="name">ViewOf</span> assertion is meaningless by definition.<br/>
+Note that it is not necessary to assume that the validity interval of <span class="name">e1</span> be <em>contained</em> within the validity interval of <span class="name">e1</span>, which is a stronger requirement. Indeed, in the example given above one would like to assert  <span class="name">ViewOf</span> in the more common case where the two intervals overlap, but there is no strict containment.<p/>
+
+With these assumptions, the  <span class="name">ViewOf</span> relation enjoys two properties:
+
 <ul>
-
-  <li>The <span class="name">strictViewOf(e2,e1)</span> relation captures the intuition that <span class="name">e2</span> and <span class="name">e1</span> denote the same entity, but <span class="name">e2</span> provides a <em>more specific</em> characterization of the entity than <span class="name">e1</span> does.  One example is an entity record <span class="name">e1</span> describing "Bob as a person", and another entity record <span class="name">e2</span> describing "Bob, the holder of twitter account XYZ". Following this interpretation, relation <span class="name">strictViewOf()</span> is both <strong>transitive</strong> and <strong>anti-symmetric</strong>:
-
-  <ul>
-    <li>if <span class="name">strictViewOf(e3,e2)</span> and <span class="name">strictViewOf(e2,e1)</span> hold then it follows that <span class="name">strictViewOf(e3,e1)</span> holds.
-
-    <li>if <span class="name">strictViewOf(e2,e1)</span> then it follows that <span class="name">strictViewOf(e1,e2)</span> does not hold.
+<li> <strong>symmetry</strong>: if <span class="name">ViewOf(e2,e1)</span> holds in some interval <span class="name">[t1,t2]</span>, then  <span class="name">ViewOf(e1,e2)</span> also holds in the same interval.
+
+<li> <strong>pseudo-transitivity</strong>: Suppose that <span class="name">ViewOf(e3,e2)</span> and <span class="name">ViewOf(e2,e1)</span> hold, and <em>suppose further that the validity intervals of  <span class="name">e1</span>,  <span class="name">e3</span> also overlap</em>. Under these conditions,
+   <span class="name">ViewOf(e3,e1)</span> also holds <em>for the extent of such interval overlap</em>.  <br/>
+
   </ul>
-
-  <li>The <span class="name">ViewOf(e2,e1)</span> relation captures the intuition that <span class="name">e2</span> and <span class="name">e1</span> provide a different characterization of the same entity, but there is no indication that one is more specific than the other.  One example is an entity record <span class="name">e1</span> describing "Bob, the holder of facebook account ABC", and another entity record <span class="name">e2</span> describing "Bob, the holder of twitter account XYZ". Following this interpretation, relation <span class="name">strictViewOf()</span> is <strong>transitive</strong> and <strong>symmetric</strong>:
-
- <ul>
-    <li>if <span class="name">ViewOf(e3,e2)</span> and <span class="name">ViewOf(e2,e1)</span> hold then it follows that <span class="name">ViewOf(e3,e1)</span> holds.
-
-    <li>if <span class="name">ViewOf(e2,e1)</span> then it follows that <span class="name">ViewOf(e1,e2)</span> also holds.
-  </ul>
+  Note that this second property is a weak form of transitivity, which only applies on condition that the derived transitive assertion  <span class="name">ViewOf(e3,e1)</span> is meaningful, that is, that the validity interval of the involved entity records do overlap.
+
+  There is no guarantee that this is always the case, as the simple example in the figure below (b) illustrates. In this case, no new relations are asserted from the pseudo-transitivity rule.
+
+<div style="text-align: center;">
+<img src="viewOf.png" alt="illustration viewOf"/>
+</div>
+
+<div class="note">this second part is optional and still subject to discussion</div>
   
-</ul>
-
-The definition of entity record includes a specification of the characterization interval within which the record is valid. In both versions, the two relations <span class="name">e2</span> are only valid within the intersection of the characterization intervals of the two participating entity records. <p/>
-
-
-<p>A strict view record is written <span class="name">strictView(e2,e1)</span>, where <span class="name">e1</span> and <span class="name">e2</span> are  two identifiers denoting entity records.</p>
-
-<p>A view record is written <span class="name">View(e2,e1)</span>, where <span class="name">e1</span> and <span class="name">e2</span> are  two identifiers denoting entity records.</p>
+ It may be desirable to provide a stronger connotation of the notion of "different characterization", namely to state that an entity record <span class="name">e1</span> is <em>more constrained</em>, or provides a  <em>more specific</em> characterization of a entity, relative to another entity record <span class="name">e2</span>. For example, one would like to assert that the entity record that describes "Bob, the holder of facebook account ABC" refers to the same entity as the entity record "Bob, the person", but offers a more specific characterization of such entity. To accommodate this stronger semantics, we introduce a variant of the <span class="name">ViewOf(e2,e1)</span> relation,  denoted by
+  <span class="name">StrictViewOf(e2,e1)</span>. By definition, this relation is <strong>anti-symmetric</strong>, that is: <br/>
+if <span class="name">strictViewOf(e2,e1)</span> then it follows that <span class="name">strictViewOf(e1,e2)</span> does not hold. <br/>
+<span class="name">StrictViewOf(e2,e1)</span> also enjoys the pseudo-transitivity property, as specified above.
 
 
 <div class="anexample">
--- a/model/example-graphical.graffle	Wed Dec 14 16:03:51 2011 +0000
+++ b/model/example-graphical.graffle	Wed Dec 14 23:11:07 2011 +0000
@@ -26,7 +26,7 @@
 	<key>MasterSheets</key>
 	<array/>
 	<key>ModificationDate</key>
-	<string>2011-11-30 14:50:50 +0000</string>
+	<string>2011-12-14 23:09:04 +0000</string>
 	<key>Modifier</key>
 	<string>Paolo Missier</string>
 	<key>NotesVisible</key>
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 	</data>
 	<key>QuickLookThumbnail</key>
 	<data>
@@ -14951,6 +15404,2239 @@
 			<key>VPages</key>
 			<integer>1</integer>
 		</dict>
+		<dict>
+			<key>ActiveLayerIndex</key>
+			<integer>0</integer>
+			<key>AutoAdjust</key>
+			<true/>
+			<key>BackgroundGraphic</key>
+			<dict>
+				<key>Bounds</key>
+				<string>{{0, 0}, {1612, 536}}</string>
+				<key>Class</key>
+				<string>SolidGraphic</string>
+				<key>ID</key>
+				<integer>2</integer>
+				<key>Style</key>
+				<dict>
+					<key>shadow</key>
+					<dict>
+						<key>Draws</key>
+						<string>NO</string>
+					</dict>
+					<key>stroke</key>
+					<dict>
+						<key>Draws</key>
+						<string>NO</string>
+					</dict>
+				</dict>
+			</dict>
+			<key>CanvasOrigin</key>
+			<string>{0, 0}</string>
+			<key>ColumnAlign</key>
+			<integer>1</integer>
+			<key>ColumnSpacing</key>
+			<real>36</real>
+			<key>DisplayScale</key>
+			<string>1.000 cm = 1.000 cm</string>
+			<key>GraphicsList</key>
+			<array>
+				<dict>
+					<key>Bounds</key>
+					<string>{{563, 63}, {18, 16}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>FitText</key>
+					<string>YES</string>
+					<key>Flow</key>
+					<string>Resize</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Font</key>
+						<string>ArialMT</string>
+						<key>Size</key>
+						<real>10</real>
+					</dict>
+					<key>ID</key>
+					<integer>53</integer>
+					<key>Shape</key>
+					<string>AdjustableArrow</string>
+					<key>ShapeData</key>
+					<dict>
+						<key>width</key>
+						<real>3</real>
+					</dict>
+					<key>Style</key>
+					<dict>
+						<key>fill</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>Pad</key>
+						<integer>0</integer>
+						<key>Text</key>
+						<string>{\rtf1\ansi\ansicpg1252\cocoartf1038\cocoasubrtf360
+{\fonttbl\f0\fswiss\fcharset0 ArialMT;}
+{\colortbl;\red255\green255\blue255;}
+\pard\tx560\tx1120\tx1680\tx2240\tx2800\tx3360\tx3920\tx4480\tx5040\tx5600\tx6160\tx6720\qc\pardirnatural
+
+\f0\fs28 \cf0 (b)}</string>
+						<key>VerticalPad</key>
+						<integer>0</integer>
+					</dict>
+					<key>Wrap</key>
+					<string>NO</string>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{683, 304}, {221, 76}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>FitText</key>
+					<string>YES</string>
+					<key>Flow</key>
+					<string>Resize</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Font</key>
+						<string>ArialMT</string>
+						<key>Size</key>
+						<real>10</real>
+					</dict>
+					<key>ID</key>
+					<integer>52</integer>
+					<key>Shape</key>
+					<string>AdjustableArrow</string>
+					<key>ShapeData</key>
+					<dict>
+						<key>width</key>
+						<real>3</real>
+					</dict>
+					<key>Style</key>
+					<dict>
+						<key>fill</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>Align</key>
+						<integer>0</integer>
+						<key>Pad</key>
+						<integer>0</integer>
+						<key>Text</key>
+						<string>{\rtf1\ansi\ansicpg1252\cocoartf1038\cocoasubrtf360
+{\fonttbl\f0\fswiss\fcharset0 ArialMT;}
+{\colortbl;\red255\green255\blue255;}
+\pard\tx560\tx1120\tx1680\tx2240\tx2800\tx3360\tx3920\tx4480\tx5040\tx5600\tx6160\tx6720\ql\qnatural\pardirnatural
+
+\f0\fs28 \cf0 assertions:\
+1. viewOf(e1,e2)       valid in [t\sub 2\nosupersub , t\sub 3\nosupersub ],\
+2. viewOf(e2,e3)       valid in [t\sub 4\nosupersub , t\sub 5\nosupersub ]\
+but viewOf(e1,e3)   is meaningless}</string>
+						<key>VerticalPad</key>
+						<integer>0</integer>
+					</dict>
+					<key>Wrap</key>
+					<string>NO</string>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{903, 258}, {12, 22}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>FitText</key>
+					<string>YES</string>
+					<key>Flow</key>
+					<string>Resize</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Font</key>
+						<string>ArialMT</string>
+						<key>Size</key>
+						<real>10</real>
+					</dict>
+					<key>ID</key>
+					<integer>51</integer>
+					<key>Shape</key>
+					<string>AdjustableArrow</string>
+					<key>ShapeData</key>
+					<dict>
+						<key>width</key>
+						<real>3</real>
+					</dict>
+					<key>Style</key>
+					<dict>
+						<key>fill</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>Pad</key>
+						<integer>0</integer>
+						<key>Text</key>
+						<string>{\rtf1\ansi\ansicpg1252\cocoartf1038\cocoasubrtf360
+{\fonttbl\f0\fswiss\fcharset0 ArialMT;}
+{\colortbl;\red255\green255\blue255;}
+\pard\tx560\tx1120\tx1680\tx2240\tx2800\tx3360\tx3920\tx4480\tx5040\tx5600\tx6160\tx6720\qc\pardirnatural
+
+\f0\fs28 \cf0 t\sub 6}</string>
+						<key>VerticalPad</key>
+						<integer>0</integer>
+					</dict>
+					<key>Wrap</key>
+					<string>NO</string>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{825.5, 258}, {12, 22}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>FitText</key>
+					<string>YES</string>
+					<key>Flow</key>
+					<string>Resize</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Font</key>
+						<string>ArialMT</string>
+						<key>Size</key>
+						<real>10</real>
+					</dict>
+					<key>ID</key>
+					<integer>50</integer>
+					<key>Shape</key>
+					<string>AdjustableArrow</string>
+					<key>ShapeData</key>
+					<dict>
+						<key>width</key>
+						<real>3</real>
+					</dict>
+					<key>Style</key>
+					<dict>
+						<key>fill</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>Pad</key>
+						<integer>0</integer>
+						<key>Text</key>
+						<string>{\rtf1\ansi\ansicpg1252\cocoartf1038\cocoasubrtf360
+{\fonttbl\f0\fswiss\fcharset0 ArialMT;}
+{\colortbl;\red255\green255\blue255;}
+\pard\tx560\tx1120\tx1680\tx2240\tx2800\tx3360\tx3920\tx4480\tx5040\tx5600\tx6160\tx6720\qc\pardirnatural
+
+\f0\fs28 \cf0 t\sub 5}</string>
+						<key>VerticalPad</key>
+						<integer>0</integer>
+					</dict>
+					<key>Wrap</key>
+					<string>NO</string>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{788.5, 258}, {12, 22}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>FitText</key>
+					<string>YES</string>
+					<key>Flow</key>
+					<string>Resize</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Font</key>
+						<string>ArialMT</string>
+						<key>Size</key>
+						<real>10</real>
+					</dict>
+					<key>ID</key>
+					<integer>49</integer>
+					<key>Shape</key>
+					<string>AdjustableArrow</string>
+					<key>ShapeData</key>
+					<dict>
+						<key>width</key>
+						<real>3</real>
+					</dict>
+					<key>Style</key>
+					<dict>
+						<key>fill</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>Pad</key>
+						<integer>0</integer>
+						<key>Text</key>
+						<string>{\rtf1\ansi\ansicpg1252\cocoartf1038\cocoasubrtf360
+{\fonttbl\f0\fswiss\fcharset0 ArialMT;}
+{\colortbl;\red255\green255\blue255;}
+\pard\tx560\tx1120\tx1680\tx2240\tx2800\tx3360\tx3920\tx4480\tx5040\tx5600\tx6160\tx6720\qc\pardirnatural
+
+\f0\fs28 \cf0 t\sub 4}</string>
+						<key>VerticalPad</key>
+						<integer>0</integer>
+					</dict>
+					<key>Wrap</key>
+					<string>NO</string>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{744.5, 258}, {12, 22}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>FitText</key>
+					<string>YES</string>
+					<key>Flow</key>
+					<string>Resize</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Font</key>
+						<string>ArialMT</string>
+						<key>Size</key>
+						<real>10</real>
+					</dict>
+					<key>ID</key>
+					<integer>48</integer>
+					<key>Shape</key>
+					<string>AdjustableArrow</string>
+					<key>ShapeData</key>
+					<dict>
+						<key>width</key>
+						<real>3</real>
+					</dict>
+					<key>Style</key>
+					<dict>
+						<key>fill</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>Pad</key>
+						<integer>0</integer>
+						<key>Text</key>
+						<string>{\rtf1\ansi\ansicpg1252\cocoartf1038\cocoasubrtf360
+{\fonttbl\f0\fswiss\fcharset0 ArialMT;}
+{\colortbl;\red255\green255\blue255;}
+\pard\tx560\tx1120\tx1680\tx2240\tx2800\tx3360\tx3920\tx4480\tx5040\tx5600\tx6160\tx6720\qc\pardirnatural
+
+\f0\fs28 \cf0 t\sub 3}</string>
+						<key>VerticalPad</key>
+						<integer>0</integer>
+					</dict>
+					<key>Wrap</key>
+					<string>NO</string>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{690.5, 258}, {12, 22}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>FitText</key>
+					<string>YES</string>
+					<key>Flow</key>
+					<string>Resize</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Font</key>
+						<string>ArialMT</string>
+						<key>Size</key>
+						<real>10</real>
+					</dict>
+					<key>ID</key>
+					<integer>47</integer>
+					<key>Shape</key>
+					<string>AdjustableArrow</string>
+					<key>ShapeData</key>
+					<dict>
+						<key>width</key>
+						<real>3</real>
+					</dict>
+					<key>Style</key>
+					<dict>
+						<key>fill</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>Pad</key>
+						<integer>0</integer>
+						<key>Text</key>
+						<string>{\rtf1\ansi\ansicpg1252\cocoartf1038\cocoasubrtf360
+{\fonttbl\f0\fswiss\fcharset0 ArialMT;}
+{\colortbl;\red255\green255\blue255;}
+\pard\tx560\tx1120\tx1680\tx2240\tx2800\tx3360\tx3920\tx4480\tx5040\tx5600\tx6160\tx6720\qc\pardirnatural
+
+\f0\fs28 \cf0 t\sub 2}</string>
+						<key>VerticalPad</key>
+						<integer>0</integer>
+					</dict>
+					<key>Wrap</key>
+					<string>NO</string>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{663.5, 258}, {12, 22}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>FitText</key>
+					<string>YES</string>
+					<key>Flow</key>
+					<string>Resize</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Font</key>
+						<string>ArialMT</string>
+						<key>Size</key>
+						<real>10</real>
+					</dict>
+					<key>ID</key>
+					<integer>46</integer>
+					<key>Shape</key>
+					<string>AdjustableArrow</string>
+					<key>ShapeData</key>
+					<dict>
+						<key>width</key>
+						<real>3</real>
+					</dict>
+					<key>Style</key>
+					<dict>
+						<key>fill</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>Pad</key>
+						<integer>0</integer>
+						<key>Text</key>
+						<string>{\rtf1\ansi\ansicpg1252\cocoartf1038\cocoasubrtf360
+{\fonttbl\f0\fswiss\fcharset0 ArialMT;}
+{\colortbl;\red255\green255\blue255;}
+\pard\tx560\tx1120\tx1680\tx2240\tx2800\tx3360\tx3920\tx4480\tx5040\tx5600\tx6160\tx6720\qc\pardirnatural
+
+\f0\fs28 \cf0 t\sub 1}</string>
+						<key>VerticalPad</key>
+						<integer>0</integer>
+					</dict>
+					<key>Wrap</key>
+					<string>NO</string>
+				</dict>
+				<dict>
+					<key>Class</key>
+					<string>LineGraphic</string>
+					<key>ID</key>
+					<integer>45</integer>
+					<key>Points</key>
+					<array>
+						<string>{909, 253}</string>
+						<string>{909, 63}</string>
+					</array>
+					<key>Style</key>
+					<dict>
+						<key>stroke</key>
+						<dict>
+							<key>Cap</key>
+							<integer>0</integer>
+							<key>HeadArrow</key>
+							<string>0</string>
+							<key>Join</key>
+							<integer>0</integer>
+							<key>Pattern</key>
+							<integer>1</integer>
+							<key>TailArrow</key>
+							<string>0</string>
+						</dict>
+					</dict>
+				</dict>
+				<dict>
+					<key>Class</key>
+					<string>LineGraphic</string>
+					<key>ID</key>
+					<integer>44</integer>
+					<key>Points</key>
+					<array>
+						<string>{830, 253}</string>
+						<string>{830, 63}</string>
+					</array>
+					<key>Style</key>
+					<dict>
+						<key>stroke</key>
+						<dict>
+							<key>Cap</key>
+							<integer>0</integer>
+							<key>HeadArrow</key>
+							<string>0</string>
+							<key>Join</key>
+							<integer>0</integer>
+							<key>Pattern</key>
+							<integer>1</integer>
+							<key>TailArrow</key>
+							<string>0</string>
+						</dict>
+					</dict>
+				</dict>
+				<dict>
+					<key>Class</key>
+					<string>LineGraphic</string>
+					<key>ID</key>
+					<integer>43</integer>
+					<key>Points</key>
+					<array>
+						<string>{792, 253}</string>
+						<string>{792, 63}</string>
+					</array>
+					<key>Style</key>
+					<dict>
+						<key>stroke</key>
+						<dict>
+							<key>Cap</key>
+							<integer>0</integer>
+							<key>HeadArrow</key>
+							<string>0</string>
+							<key>Join</key>
+							<integer>0</integer>
+							<key>Pattern</key>
+							<integer>1</integer>
+							<key>TailArrow</key>
+							<string>0</string>
+						</dict>
+					</dict>
+				</dict>
+				<dict>
+					<key>Class</key>
+					<string>LineGraphic</string>
+					<key>ID</key>
+					<integer>42</integer>
+					<key>Points</key>
+					<array>
+						<string>{753, 253}</string>
+						<string>{753, 63}</string>
+					</array>
+					<key>Style</key>
+					<dict>
+						<key>stroke</key>
+						<dict>
+							<key>Cap</key>
+							<integer>0</integer>
+							<key>HeadArrow</key>
+							<string>0</string>
+							<key>Join</key>
+							<integer>0</integer>
+							<key>Pattern</key>
+							<integer>1</integer>
+							<key>TailArrow</key>
+							<string>0</string>
+						</dict>
+					</dict>
+				</dict>
+				<dict>
+					<key>Class</key>
+					<string>LineGraphic</string>
+					<key>ID</key>
+					<integer>41</integer>
+					<key>Points</key>
+					<array>
+						<string>{696, 253}</string>
+						<string>{696, 63}</string>
+					</array>
+					<key>Style</key>
+					<dict>
+						<key>stroke</key>
+						<dict>
+							<key>Cap</key>
+							<integer>0</integer>
+							<key>HeadArrow</key>
+							<string>0</string>
+							<key>Join</key>
+							<integer>0</integer>
+							<key>Pattern</key>
+							<integer>1</integer>
+							<key>TailArrow</key>
+							<string>0</string>
+						</dict>
+					</dict>
+				</dict>
+				<dict>
+					<key>Class</key>
+					<string>LineGraphic</string>
+					<key>ID</key>
+					<integer>40</integer>
+					<key>Points</key>
+					<array>
+						<string>{669, 253}</string>
+						<string>{669, 63}</string>
+					</array>
+					<key>Style</key>
+					<dict>
+						<key>stroke</key>
+						<dict>
+							<key>Cap</key>
+							<integer>0</integer>
+							<key>HeadArrow</key>
+							<string>0</string>
+							<key>Join</key>
+							<integer>0</integer>
+							<key>Pattern</key>
+							<integer>1</integer>
+							<key>TailArrow</key>
+							<string>0</string>
+						</dict>
+					</dict>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{697, 188.5}, {133, 31}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>ID</key>
+					<integer>39</integer>
+					<key>Magnets</key>
+					<array>
+						<string>{1, 1}</string>
+						<string>{1, -1}</string>
+						<string>{-1, -1}</string>
+						<string>{-1, 1}</string>
+						<string>{0, 1}</string>
+						<string>{0, -1}</string>
+						<string>{1, 0}</string>
+						<string>{-1, 0}</string>
+						<string>{-0.5, -0.233518}</string>
+						<string>{-0.491442, 0.260063}</string>
+						<string>{0.507118, -0.224086}</string>
+						<string>{0.507118, 0.267179}</string>
+						<string>{-0.27431, -0.474028}</string>
+						<string>{0.27978, -0.478478}</string>
+						<string>{0.293938, 0.543044}</string>
+						<string>{-0.286232, 0.553804}</string>
+					</array>
+					<key>Shape</key>
+					<string>Rectangle</string>
+					<key>Style</key>
+					<dict>
+						<key>fill</key>
+						<dict>
+							<key>FillType</key>
+							<integer>2</integer>
+							<key>GradientAngle</key>
+							<real>90</real>
+							<key>GradientColor</key>
+							<dict>
+								<key>w</key>
+								<string>0.666667</string>
+							</dict>
+							<key>MiddleFraction</key>
+							<real>0.6904761791229248</real>
+						</dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>VerticalPad</key>
+						<integer>0</integer>
+					</dict>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{792, 143.5}, {117, 31}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>ID</key>
+					<integer>38</integer>
+					<key>Magnets</key>
+					<array>
+						<string>{1, 1}</string>
+						<string>{1, -1}</string>
+						<string>{-1, -1}</string>
+						<string>{-1, 1}</string>
+						<string>{0, 1}</string>
+						<string>{0, -1}</string>
+						<string>{1, 0}</string>
+						<string>{-1, 0}</string>
+						<string>{-0.5, -0.233518}</string>
+						<string>{-0.491442, 0.260063}</string>
+						<string>{0.507118, -0.224086}</string>
+						<string>{0.507118, 0.267179}</string>
+						<string>{-0.27431, -0.474028}</string>
+						<string>{0.27978, -0.478478}</string>
+						<string>{0.293938, 0.543044}</string>
+						<string>{-0.286232, 0.553804}</string>
+					</array>
+					<key>Shape</key>
+					<string>Rectangle</string>
+					<key>Style</key>
+					<dict>
+						<key>fill</key>
+						<dict>
+							<key>FillType</key>
+							<integer>2</integer>
+							<key>GradientAngle</key>
+							<real>90</real>
+							<key>GradientColor</key>
+							<dict>
+								<key>w</key>
+								<string>0.666667</string>
+							</dict>
+							<key>MiddleFraction</key>
+							<real>0.6904761791229248</real>
+						</dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>VerticalPad</key>
+						<integer>0</integer>
+					</dict>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{669, 101}, {84, 31}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>ID</key>
+					<integer>37</integer>
+					<key>Magnets</key>
+					<array>
+						<string>{1, 1}</string>
+						<string>{1, -1}</string>
+						<string>{-1, -1}</string>
+						<string>{-1, 1}</string>
+						<string>{0, 1}</string>
+						<string>{0, -1}</string>
+						<string>{1, 0}</string>
+						<string>{-1, 0}</string>
+						<string>{-0.5, -0.233518}</string>
+						<string>{-0.491442, 0.260063}</string>
+						<string>{0.507118, -0.224086}</string>
+						<string>{0.507118, 0.267179}</string>
+						<string>{-0.27431, -0.474028}</string>
+						<string>{0.27978, -0.478478}</string>
+						<string>{0.293938, 0.543044}</string>
+						<string>{-0.286232, 0.553804}</string>
+					</array>
+					<key>Shape</key>
+					<string>Rectangle</string>
+					<key>Style</key>
+					<dict>
+						<key>fill</key>
+						<dict>
+							<key>FillType</key>
+							<integer>2</integer>
+							<key>GradientAngle</key>
+							<real>90</real>
+							<key>GradientColor</key>
+							<dict>
+								<key>w</key>
+								<string>0.666667</string>
+							</dict>
+							<key>MiddleFraction</key>
+							<real>0.6904761791229248</real>
+						</dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>VerticalPad</key>
+						<integer>0</integer>
+					</dict>
+				</dict>
+				<dict>
+					<key>Class</key>
+					<string>LineGraphic</string>
+					<key>ID</key>
+					<integer>36</integer>
+					<key>Points</key>
+					<array>
+						<string>{647, 218.5}</string>
+						<string>{978, 218.5}</string>
+						<string>{872, 218.5}</string>
+					</array>
+					<key>Style</key>
+					<dict>
+						<key>stroke</key>
+						<dict>
+							<key>Cap</key>
+							<integer>0</integer>
+							<key>HeadArrow</key>
+							<string>0</string>
+							<key>Join</key>
+							<integer>0</integer>
+							<key>TailArrow</key>
+							<string>0</string>
+						</dict>
+					</dict>
+				</dict>
+				<dict>
+					<key>Class</key>
+					<string>LineGraphic</string>
+					<key>ID</key>
+					<integer>35</integer>
+					<key>Points</key>
+					<array>
+						<string>{647, 174.5}</string>
+						<string>{978, 174.5}</string>
+						<string>{872, 174.5}</string>
+					</array>
+					<key>Style</key>
+					<dict>
+						<key>stroke</key>
+						<dict>
+							<key>Cap</key>
+							<integer>0</integer>
+							<key>HeadArrow</key>
+							<string>0</string>
+							<key>Join</key>
+							<integer>0</integer>
+							<key>TailArrow</key>
+							<string>0</string>
+						</dict>
+					</dict>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{612, 210}, {16, 22}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>FitText</key>
+					<string>YES</string>
+					<key>Flow</key>
+					<string>Resize</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Font</key>
+						<string>ArialMT</string>
+						<key>Size</key>
+						<real>10</real>
+					</dict>
+					<key>ID</key>
+					<integer>34</integer>
+					<key>Shape</key>
+					<string>AdjustableArrow</string>
+					<key>ShapeData</key>
+					<dict>
+						<key>width</key>
+						<real>3</real>
+					</dict>
+					<key>Style</key>
+					<dict>
+						<key>fill</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>Pad</key>
+						<integer>0</integer>
+						<key>Text</key>
+						<string>{\rtf1\ansi\ansicpg1252\cocoartf1038\cocoasubrtf360
+{\fonttbl\f0\fswiss\fcharset0 ArialMT;}
+{\colortbl;\red255\green255\blue255;}
+\pard\tx560\tx1120\tx1680\tx2240\tx2800\tx3360\tx3920\tx4480\tx5040\tx5600\tx6160\tx6720\qc\pardirnatural
+
+\f0\fs28 \cf0 e\sub 3}</string>
+						<key>VerticalPad</key>
+						<integer>0</integer>
+					</dict>
+					<key>Wrap</key>
+					<string>NO</string>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{612, 164}, {16, 22}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>FitText</key>
+					<string>YES</string>
+					<key>Flow</key>
+					<string>Resize</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Font</key>
+						<string>ArialMT</string>
+						<key>Size</key>
+						<real>10</real>
+					</dict>
+					<key>ID</key>
+					<integer>33</integer>
+					<key>Shape</key>
+					<string>AdjustableArrow</string>
+					<key>ShapeData</key>
+					<dict>
+						<key>width</key>
+						<real>3</real>
+					</dict>
+					<key>Style</key>
+					<dict>
+						<key>fill</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>Pad</key>
+						<integer>0</integer>
+						<key>Text</key>
+						<string>{\rtf1\ansi\ansicpg1252\cocoartf1038\cocoasubrtf360
+{\fonttbl\f0\fswiss\fcharset0 ArialMT;}
+{\colortbl;\red255\green255\blue255;}
+\pard\tx560\tx1120\tx1680\tx2240\tx2800\tx3360\tx3920\tx4480\tx5040\tx5600\tx6160\tx6720\qc\pardirnatural
+
+\f0\fs28 \cf0 e\sub 2}</string>
+						<key>VerticalPad</key>
+						<integer>0</integer>
+					</dict>
+					<key>Wrap</key>
+					<string>NO</string>
+				</dict>
+				<dict>
+					<key>Class</key>
+					<string>LineGraphic</string>
+					<key>ID</key>
+					<integer>32</integer>
+					<key>Points</key>
+					<array>
+						<string>{647, 132}</string>
+						<string>{978, 132}</string>
+						<string>{872, 132}</string>
+					</array>
+					<key>Style</key>
+					<dict>
+						<key>stroke</key>
+						<dict>
+							<key>Cap</key>
+							<integer>0</integer>
+							<key>HeadArrow</key>
+							<string>0</string>
+							<key>Join</key>
+							<integer>0</integer>
+							<key>TailArrow</key>
+							<string>0</string>
+						</dict>
+					</dict>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{612, 118}, {16, 22}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>FitText</key>
+					<string>YES</string>
+					<key>Flow</key>
+					<string>Resize</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Font</key>
+						<string>ArialMT</string>
+						<key>Size</key>
+						<real>10</real>
+					</dict>
+					<key>ID</key>
+					<integer>31</integer>
+					<key>Shape</key>
+					<string>AdjustableArrow</string>
+					<key>ShapeData</key>
+					<dict>
+						<key>width</key>
+						<real>3</real>
+					</dict>
+					<key>Style</key>
+					<dict>
+						<key>fill</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>Pad</key>
+						<integer>0</integer>
+						<key>Text</key>
+						<string>{\rtf1\ansi\ansicpg1252\cocoartf1038\cocoasubrtf360
+{\fonttbl\f0\fswiss\fcharset0 ArialMT;}
+{\colortbl;\red255\green255\blue255;}
+\pard\tx560\tx1120\tx1680\tx2240\tx2800\tx3360\tx3920\tx4480\tx5040\tx5600\tx6160\tx6720\qc\pardirnatural
+
+\f0\fs28 \cf0 e\sub 1}</string>
+						<key>VerticalPad</key>
+						<integer>0</integer>
+					</dict>
+					<key>Wrap</key>
+					<string>NO</string>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{39, 62}, {18, 16}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>FitText</key>
+					<string>YES</string>
+					<key>Flow</key>
+					<string>Resize</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Font</key>
+						<string>ArialMT</string>
+						<key>Size</key>
+						<real>10</real>
+					</dict>
+					<key>ID</key>
+					<integer>30</integer>
+					<key>Shape</key>
+					<string>AdjustableArrow</string>
+					<key>ShapeData</key>
+					<dict>
+						<key>width</key>
+						<real>3</real>
+					</dict>
+					<key>Style</key>
+					<dict>
+						<key>fill</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>Pad</key>
+						<integer>0</integer>
+						<key>Text</key>
+						<string>{\rtf1\ansi\ansicpg1252\cocoartf1038\cocoasubrtf360
+{\fonttbl\f0\fswiss\fcharset0 ArialMT;}
+{\colortbl;\red255\green255\blue255;}
+\pard\tx560\tx1120\tx1680\tx2240\tx2800\tx3360\tx3920\tx4480\tx5040\tx5600\tx6160\tx6720\qc\pardirnatural
+
+\f0\fs28 \cf0 (a)}</string>
+						<key>VerticalPad</key>
+						<integer>0</integer>
+					</dict>
+					<key>Wrap</key>
+					<string>NO</string>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{159, 303}, {221, 82}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>FitText</key>
+					<string>YES</string>
+					<key>Flow</key>
+					<string>Resize</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Font</key>
+						<string>ArialMT</string>
+						<key>Size</key>
+						<real>10</real>
+					</dict>
+					<key>ID</key>
+					<integer>29</integer>
+					<key>Shape</key>
+					<string>AdjustableArrow</string>
+					<key>ShapeData</key>
+					<dict>
+						<key>width</key>
+						<real>3</real>
+					</dict>
+					<key>Style</key>
+					<dict>
+						<key>fill</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>Align</key>
+						<integer>0</integer>
+						<key>Pad</key>
+						<integer>0</integer>
+						<key>Text</key>
+						<string>{\rtf1\ansi\ansicpg1252\cocoartf1038\cocoasubrtf360
+{\fonttbl\f0\fswiss\fcharset0 ArialMT;}
+{\colortbl;\red255\green255\blue255;}
+\pard\tx560\tx1120\tx1680\tx2240\tx2800\tx3360\tx3920\tx4480\tx5040\tx5600\tx6160\tx6720\pardirnatural
+
+\f0\fs28 \cf0 assertions:\
+1. viewOf(e1,e2)       valid in [t\sub 3\nosupersub , t\sub 5\nosupersub ],\
+2. viewOf(e2,e3)       valid in [t\sub 3\nosupersub , t\sub 4\nosupersub ]\
+=&gt; viewOf(e1,e3)  valid in [t\sub 2\nosupersub , t\sub 4\nosupersub ]}</string>
+						<key>VerticalPad</key>
+						<integer>0</integer>
+					</dict>
+					<key>Wrap</key>
+					<string>NO</string>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{379, 257}, {12, 22}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>FitText</key>
+					<string>YES</string>
+					<key>Flow</key>
+					<string>Resize</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Font</key>
+						<string>ArialMT</string>
+						<key>Size</key>
+						<real>10</real>
+					</dict>
+					<key>ID</key>
+					<integer>28</integer>
+					<key>Shape</key>
+					<string>AdjustableArrow</string>
+					<key>ShapeData</key>
+					<dict>
+						<key>width</key>
+						<real>3</real>
+					</dict>
+					<key>Style</key>
+					<dict>
+						<key>fill</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>Pad</key>
+						<integer>0</integer>
+						<key>Text</key>
+						<string>{\rtf1\ansi\ansicpg1252\cocoartf1038\cocoasubrtf360
+{\fonttbl\f0\fswiss\fcharset0 ArialMT;}
+{\colortbl;\red255\green255\blue255;}
+\pard\tx560\tx1120\tx1680\tx2240\tx2800\tx3360\tx3920\tx4480\tx5040\tx5600\tx6160\tx6720\qc\pardirnatural
+
+\f0\fs28 \cf0 t\sub 6}</string>
+						<key>VerticalPad</key>
+						<integer>0</integer>
+					</dict>
+					<key>Wrap</key>
+					<string>NO</string>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{319.5, 257}, {12, 22}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>FitText</key>
+					<string>YES</string>
+					<key>Flow</key>
+					<string>Resize</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Font</key>
+						<string>ArialMT</string>
+						<key>Size</key>
+						<real>10</real>
+					</dict>
+					<key>ID</key>
+					<integer>27</integer>
+					<key>Shape</key>
+					<string>AdjustableArrow</string>
+					<key>ShapeData</key>
+					<dict>
+						<key>width</key>
+						<real>3</real>
+					</dict>
+					<key>Style</key>
+					<dict>
+						<key>fill</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>Pad</key>
+						<integer>0</integer>
+						<key>Text</key>
+						<string>{\rtf1\ansi\ansicpg1252\cocoartf1038\cocoasubrtf360
+{\fonttbl\f0\fswiss\fcharset0 ArialMT;}
+{\colortbl;\red255\green255\blue255;}
+\pard\tx560\tx1120\tx1680\tx2240\tx2800\tx3360\tx3920\tx4480\tx5040\tx5600\tx6160\tx6720\qc\pardirnatural
+
+\f0\fs28 \cf0 t\sub 5}</string>
+						<key>VerticalPad</key>
+						<integer>0</integer>
+					</dict>
+					<key>Wrap</key>
+					<string>NO</string>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{282.5, 257}, {12, 22}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>FitText</key>
+					<string>YES</string>
+					<key>Flow</key>
+					<string>Resize</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Font</key>
+						<string>ArialMT</string>
+						<key>Size</key>
+						<real>10</real>
+					</dict>
+					<key>ID</key>
+					<integer>26</integer>
+					<key>Shape</key>
+					<string>AdjustableArrow</string>
+					<key>ShapeData</key>
+					<dict>
+						<key>width</key>
+						<real>3</real>
+					</dict>
+					<key>Style</key>
+					<dict>
+						<key>fill</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>Pad</key>
+						<integer>0</integer>
+						<key>Text</key>
+						<string>{\rtf1\ansi\ansicpg1252\cocoartf1038\cocoasubrtf360
+{\fonttbl\f0\fswiss\fcharset0 ArialMT;}
+{\colortbl;\red255\green255\blue255;}
+\pard\tx560\tx1120\tx1680\tx2240\tx2800\tx3360\tx3920\tx4480\tx5040\tx5600\tx6160\tx6720\qc\pardirnatural
+
+\f0\fs28 \cf0 t\sub 4}</string>
+						<key>VerticalPad</key>
+						<integer>0</integer>
+					</dict>
+					<key>Wrap</key>
+					<string>NO</string>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{211.5, 257}, {12, 22}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>FitText</key>
+					<string>YES</string>
+					<key>Flow</key>
+					<string>Resize</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Font</key>
+						<string>ArialMT</string>
+						<key>Size</key>
+						<real>10</real>
+					</dict>
+					<key>ID</key>
+					<integer>25</integer>
+					<key>Shape</key>
+					<string>AdjustableArrow</string>
+					<key>ShapeData</key>
+					<dict>
+						<key>width</key>
+						<real>3</real>
+					</dict>
+					<key>Style</key>
+					<dict>
+						<key>fill</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>Pad</key>
+						<integer>0</integer>
+						<key>Text</key>
+						<string>{\rtf1\ansi\ansicpg1252\cocoartf1038\cocoasubrtf360
+{\fonttbl\f0\fswiss\fcharset0 ArialMT;}
+{\colortbl;\red255\green255\blue255;}
+\pard\tx560\tx1120\tx1680\tx2240\tx2800\tx3360\tx3920\tx4480\tx5040\tx5600\tx6160\tx6720\qc\pardirnatural
+
+\f0\fs28 \cf0 t\sub 3}</string>
+						<key>VerticalPad</key>
+						<integer>0</integer>
+					</dict>
+					<key>Wrap</key>
+					<string>NO</string>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{166.5, 257}, {12, 22}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>FitText</key>
+					<string>YES</string>
+					<key>Flow</key>
+					<string>Resize</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Font</key>
+						<string>ArialMT</string>
+						<key>Size</key>
+						<real>10</real>
+					</dict>
+					<key>ID</key>
+					<integer>24</integer>
+					<key>Shape</key>
+					<string>AdjustableArrow</string>
+					<key>ShapeData</key>
+					<dict>
+						<key>width</key>
+						<real>3</real>
+					</dict>
+					<key>Style</key>
+					<dict>
+						<key>fill</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>Pad</key>
+						<integer>0</integer>
+						<key>Text</key>
+						<string>{\rtf1\ansi\ansicpg1252\cocoartf1038\cocoasubrtf360
+{\fonttbl\f0\fswiss\fcharset0 ArialMT;}
+{\colortbl;\red255\green255\blue255;}
+\pard\tx560\tx1120\tx1680\tx2240\tx2800\tx3360\tx3920\tx4480\tx5040\tx5600\tx6160\tx6720\qc\pardirnatural
+
+\f0\fs28 \cf0 t\sub 2}</string>
+						<key>VerticalPad</key>
+						<integer>0</integer>
+					</dict>
+					<key>Wrap</key>
+					<string>NO</string>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{139.5, 257}, {12, 22}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>FitText</key>
+					<string>YES</string>
+					<key>Flow</key>
+					<string>Resize</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Font</key>
+						<string>ArialMT</string>
+						<key>Size</key>
+						<real>10</real>
+					</dict>
+					<key>ID</key>
+					<integer>23</integer>
+					<key>Shape</key>
+					<string>AdjustableArrow</string>
+					<key>ShapeData</key>
+					<dict>
+						<key>width</key>
+						<real>3</real>
+					</dict>
+					<key>Style</key>
+					<dict>
+						<key>fill</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>Pad</key>
+						<integer>0</integer>
+						<key>Text</key>
+						<string>{\rtf1\ansi\ansicpg1252\cocoartf1038\cocoasubrtf360
+{\fonttbl\f0\fswiss\fcharset0 ArialMT;}
+{\colortbl;\red255\green255\blue255;}
+\pard\tx560\tx1120\tx1680\tx2240\tx2800\tx3360\tx3920\tx4480\tx5040\tx5600\tx6160\tx6720\qc\pardirnatural
+
+\f0\fs28 \cf0 t\sub 1}</string>
+						<key>VerticalPad</key>
+						<integer>0</integer>
+					</dict>
+					<key>Wrap</key>
+					<string>NO</string>
+				</dict>
+				<dict>
+					<key>Class</key>
+					<string>LineGraphic</string>
+					<key>ID</key>
+					<integer>22</integer>
+					<key>Points</key>
+					<array>
+						<string>{385, 252}</string>
+						<string>{385, 62}</string>
+					</array>
+					<key>Style</key>
+					<dict>
+						<key>stroke</key>
+						<dict>
+							<key>Cap</key>
+							<integer>0</integer>
+							<key>HeadArrow</key>
+							<string>0</string>
+							<key>Join</key>
+							<integer>0</integer>
+							<key>Pattern</key>
+							<integer>1</integer>
+							<key>TailArrow</key>
+							<string>0</string>
+						</dict>
+					</dict>
+				</dict>
+				<dict>
+					<key>Class</key>
+					<string>LineGraphic</string>
+					<key>ID</key>
+					<integer>21</integer>
+					<key>Points</key>
+					<array>
+						<string>{325, 252}</string>
+						<string>{325, 62}</string>
+					</array>
+					<key>Style</key>
+					<dict>
+						<key>stroke</key>
+						<dict>
+							<key>Cap</key>
+							<integer>0</integer>
+							<key>HeadArrow</key>
+							<string>0</string>
+							<key>Join</key>
+							<integer>0</integer>
+							<key>Pattern</key>
+							<integer>1</integer>
+							<key>TailArrow</key>
+							<string>0</string>
+						</dict>
+					</dict>
+				</dict>
+				<dict>
+					<key>Class</key>
+					<string>LineGraphic</string>
+					<key>ID</key>
+					<integer>20</integer>
+					<key>Points</key>
+					<array>
+						<string>{289, 252}</string>
+						<string>{289, 62}</string>
+					</array>
+					<key>Style</key>
+					<dict>
+						<key>stroke</key>
+						<dict>
+							<key>Cap</key>
+							<integer>0</integer>
+							<key>HeadArrow</key>
+							<string>0</string>
+							<key>Join</key>
+							<integer>0</integer>
+							<key>Pattern</key>
+							<integer>1</integer>
+							<key>TailArrow</key>
+							<string>0</string>
+						</dict>
+					</dict>
+				</dict>
+				<dict>
+					<key>Class</key>
+					<string>LineGraphic</string>
+					<key>ID</key>
+					<integer>19</integer>
+					<key>Points</key>
+					<array>
+						<string>{217, 252}</string>
+						<string>{217, 62}</string>
+					</array>
+					<key>Style</key>
+					<dict>
+						<key>stroke</key>
+						<dict>
+							<key>Cap</key>
+							<integer>0</integer>
+							<key>HeadArrow</key>
+							<string>0</string>
+							<key>Join</key>
+							<integer>0</integer>
+							<key>Pattern</key>
+							<integer>1</integer>
+							<key>TailArrow</key>
+							<string>0</string>
+						</dict>
+					</dict>
+				</dict>
+				<dict>
+					<key>Class</key>
+					<string>LineGraphic</string>
+					<key>ID</key>
+					<integer>18</integer>
+					<key>Points</key>
+					<array>
+						<string>{172, 252}</string>
+						<string>{172, 62}</string>
+					</array>
+					<key>Style</key>
+					<dict>
+						<key>stroke</key>
+						<dict>
+							<key>Cap</key>
+							<integer>0</integer>
+							<key>HeadArrow</key>
+							<string>0</string>
+							<key>Join</key>
+							<integer>0</integer>
+							<key>Pattern</key>
+							<integer>1</integer>
+							<key>TailArrow</key>
+							<string>0</string>
+						</dict>
+					</dict>
+				</dict>
+				<dict>
+					<key>Class</key>
+					<string>LineGraphic</string>
+					<key>ID</key>
+					<integer>17</integer>
+					<key>Points</key>
+					<array>
+						<string>{145, 252}</string>
+						<string>{145, 62}</string>
+					</array>
+					<key>Style</key>
+					<dict>
+						<key>stroke</key>
+						<dict>
+							<key>Cap</key>
+							<integer>0</integer>
+							<key>HeadArrow</key>
+							<string>0</string>
+							<key>Join</key>
+							<integer>0</integer>
+							<key>Pattern</key>
+							<integer>1</integer>
+							<key>TailArrow</key>
+							<string>0</string>
+						</dict>
+					</dict>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{173, 187.5}, {117, 31}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>ID</key>
+					<integer>16</integer>
+					<key>Magnets</key>
+					<array>
+						<string>{1, 1}</string>
+						<string>{1, -1}</string>
+						<string>{-1, -1}</string>
+						<string>{-1, 1}</string>
+						<string>{0, 1}</string>
+						<string>{0, -1}</string>
+						<string>{1, 0}</string>
+						<string>{-1, 0}</string>
+						<string>{-0.5, -0.233518}</string>
+						<string>{-0.491442, 0.260063}</string>
+						<string>{0.507118, -0.224086}</string>
+						<string>{0.507118, 0.267179}</string>
+						<string>{-0.27431, -0.474028}</string>
+						<string>{0.27978, -0.478478}</string>
+						<string>{0.293938, 0.543044}</string>
+						<string>{-0.286232, 0.553804}</string>
+					</array>
+					<key>Shape</key>
+					<string>Rectangle</string>
+					<key>Style</key>
+					<dict>
+						<key>fill</key>
+						<dict>
+							<key>FillType</key>
+							<integer>2</integer>
+							<key>GradientAngle</key>
+							<real>90</real>
+							<key>GradientColor</key>
+							<dict>
+								<key>w</key>
+								<string>0.666667</string>
+							</dict>
+							<key>MiddleFraction</key>
+							<real>0.6904761791229248</real>
+						</dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>VerticalPad</key>
+						<integer>0</integer>
+					</dict>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{217, 142.5}, {168, 31}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>ID</key>
+					<integer>15</integer>
+					<key>Magnets</key>
+					<array>
+						<string>{1, 1}</string>
+						<string>{1, -1}</string>
+						<string>{-1, -1}</string>
+						<string>{-1, 1}</string>
+						<string>{0, 1}</string>
+						<string>{0, -1}</string>
+						<string>{1, 0}</string>
+						<string>{-1, 0}</string>
+						<string>{-0.5, -0.233518}</string>
+						<string>{-0.491442, 0.260063}</string>
+						<string>{0.507118, -0.224086}</string>
+						<string>{0.507118, 0.267179}</string>
+						<string>{-0.27431, -0.474028}</string>
+						<string>{0.27978, -0.478478}</string>
+						<string>{0.293938, 0.543044}</string>
+						<string>{-0.286232, 0.553804}</string>
+					</array>
+					<key>Shape</key>
+					<string>Rectangle</string>
+					<key>Style</key>
+					<dict>
+						<key>fill</key>
+						<dict>
+							<key>FillType</key>
+							<integer>2</integer>
+							<key>GradientAngle</key>
+							<real>90</real>
+							<key>GradientColor</key>
+							<dict>
+								<key>w</key>
+								<string>0.666667</string>
+							</dict>
+							<key>MiddleFraction</key>
+							<real>0.6904761791229248</real>
+						</dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>VerticalPad</key>
+						<integer>0</integer>
+					</dict>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{145, 100}, {181, 31}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>ID</key>
+					<integer>14</integer>
+					<key>Magnets</key>
+					<array>
+						<string>{1, 1}</string>
+						<string>{1, -1}</string>
+						<string>{-1, -1}</string>
+						<string>{-1, 1}</string>
+						<string>{0, 1}</string>
+						<string>{0, -1}</string>
+						<string>{1, 0}</string>
+						<string>{-1, 0}</string>
+						<string>{-0.5, -0.233518}</string>
+						<string>{-0.491442, 0.260063}</string>
+						<string>{0.507118, -0.224086}</string>
+						<string>{0.507118, 0.267179}</string>
+						<string>{-0.27431, -0.474028}</string>
+						<string>{0.27978, -0.478478}</string>
+						<string>{0.293938, 0.543044}</string>
+						<string>{-0.286232, 0.553804}</string>
+					</array>
+					<key>Shape</key>
+					<string>Rectangle</string>
+					<key>Style</key>
+					<dict>
+						<key>fill</key>
+						<dict>
+							<key>FillType</key>
+							<integer>2</integer>
+							<key>GradientAngle</key>
+							<real>90</real>
+							<key>GradientColor</key>
+							<dict>
+								<key>w</key>
+								<string>0.666667</string>
+							</dict>
+							<key>MiddleFraction</key>
+							<real>0.6904761791229248</real>
+						</dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>VerticalPad</key>
+						<integer>0</integer>
+					</dict>
+				</dict>
+				<dict>
+					<key>Class</key>
+					<string>LineGraphic</string>
+					<key>ID</key>
+					<integer>11</integer>
+					<key>Points</key>
+					<array>
+						<string>{123, 217.5}</string>
+						<string>{454, 217.5}</string>
+						<string>{348, 217.5}</string>
+					</array>
+					<key>Style</key>
+					<dict>
+						<key>stroke</key>
+						<dict>
+							<key>Cap</key>
+							<integer>0</integer>
+							<key>HeadArrow</key>
+							<string>0</string>
+							<key>Join</key>
+							<integer>0</integer>
+							<key>TailArrow</key>
+							<string>0</string>
+						</dict>
+					</dict>
+				</dict>
+				<dict>
+					<key>Class</key>
+					<string>LineGraphic</string>
+					<key>ID</key>
+					<integer>10</integer>
+					<key>Points</key>
+					<array>
+						<string>{123, 173.5}</string>
+						<string>{454, 173.5}</string>
+						<string>{348, 173.5}</string>
+					</array>
+					<key>Style</key>
+					<dict>
+						<key>stroke</key>
+						<dict>
+							<key>Cap</key>
+							<integer>0</integer>
+							<key>HeadArrow</key>
+							<string>0</string>
+							<key>Join</key>
+							<integer>0</integer>
+							<key>TailArrow</key>
+							<string>0</string>
+						</dict>
+					</dict>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{88, 209}, {16, 22}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>FitText</key>
+					<string>YES</string>
+					<key>Flow</key>
+					<string>Resize</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Font</key>
+						<string>ArialMT</string>
+						<key>Size</key>
+						<real>10</real>
+					</dict>
+					<key>ID</key>
+					<integer>9</integer>
+					<key>Shape</key>
+					<string>AdjustableArrow</string>
+					<key>ShapeData</key>
+					<dict>
+						<key>width</key>
+						<real>3</real>
+					</dict>
+					<key>Style</key>
+					<dict>
+						<key>fill</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>Pad</key>
+						<integer>0</integer>
+						<key>Text</key>
+						<string>{\rtf1\ansi\ansicpg1252\cocoartf1038\cocoasubrtf360
+{\fonttbl\f0\fswiss\fcharset0 ArialMT;}
+{\colortbl;\red255\green255\blue255;}
+\pard\tx560\tx1120\tx1680\tx2240\tx2800\tx3360\tx3920\tx4480\tx5040\tx5600\tx6160\tx6720\qc\pardirnatural
+
+\f0\fs28 \cf0 e\sub 3}</string>
+						<key>VerticalPad</key>
+						<integer>0</integer>
+					</dict>
+					<key>Wrap</key>
+					<string>NO</string>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{88, 163}, {16, 22}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>FitText</key>
+					<string>YES</string>
+					<key>Flow</key>
+					<string>Resize</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Font</key>
+						<string>ArialMT</string>
+						<key>Size</key>
+						<real>10</real>
+					</dict>
+					<key>ID</key>
+					<integer>8</integer>
+					<key>Shape</key>
+					<string>AdjustableArrow</string>
+					<key>ShapeData</key>
+					<dict>
+						<key>width</key>
+						<real>3</real>
+					</dict>
+					<key>Style</key>
+					<dict>
+						<key>fill</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>Pad</key>
+						<integer>0</integer>
+						<key>Text</key>
+						<string>{\rtf1\ansi\ansicpg1252\cocoartf1038\cocoasubrtf360
+{\fonttbl\f0\fswiss\fcharset0 ArialMT;}
+{\colortbl;\red255\green255\blue255;}
+\pard\tx560\tx1120\tx1680\tx2240\tx2800\tx3360\tx3920\tx4480\tx5040\tx5600\tx6160\tx6720\qc\pardirnatural
+
+\f0\fs28 \cf0 e\sub 2}</string>
+						<key>VerticalPad</key>
+						<integer>0</integer>
+					</dict>
+					<key>Wrap</key>
+					<string>NO</string>
+				</dict>
+				<dict>
+					<key>Class</key>
+					<string>LineGraphic</string>
+					<key>ID</key>
+					<integer>7</integer>
+					<key>Points</key>
+					<array>
+						<string>{123, 131}</string>
+						<string>{454, 131}</string>
+						<string>{348, 131}</string>
+					</array>
+					<key>Style</key>
+					<dict>
+						<key>stroke</key>
+						<dict>
+							<key>Cap</key>
+							<integer>0</integer>
+							<key>HeadArrow</key>
+							<string>0</string>
+							<key>Join</key>
+							<integer>0</integer>
+							<key>TailArrow</key>
+							<string>0</string>
+						</dict>
+					</dict>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{88, 117}, {16, 22}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>FitText</key>
+					<string>YES</string>
+					<key>Flow</key>
+					<string>Resize</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Font</key>
+						<string>ArialMT</string>
+						<key>Size</key>
+						<real>10</real>
+					</dict>
+					<key>ID</key>
+					<integer>4</integer>
+					<key>Shape</key>
+					<string>AdjustableArrow</string>
+					<key>ShapeData</key>
+					<dict>
+						<key>width</key>
+						<real>3</real>
+					</dict>
+					<key>Style</key>
+					<dict>
+						<key>fill</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>Pad</key>
+						<integer>0</integer>
+						<key>Text</key>
+						<string>{\rtf1\ansi\ansicpg1252\cocoartf1038\cocoasubrtf360
+{\fonttbl\f0\fswiss\fcharset0 ArialMT;}
+{\colortbl;\red255\green255\blue255;}
+\pard\tx560\tx1120\tx1680\tx2240\tx2800\tx3360\tx3920\tx4480\tx5040\tx5600\tx6160\tx6720\qc\pardirnatural
+
+\f0\fs28 \cf0 e\sub 1}</string>
+						<key>VerticalPad</key>
+						<integer>0</integer>
+					</dict>
+					<key>Wrap</key>
+					<string>NO</string>
+				</dict>
+			</array>
+			<key>GridInfo</key>
+			<dict/>
+			<key>HPages</key>
+			<integer>2</integer>
+			<key>KeepToScale</key>
+			<false/>
+			<key>Layers</key>
+			<array>
+				<dict>
+					<key>Lock</key>
+					<string>NO</string>
+					<key>Name</key>
+					<string>Layer 1</string>
+					<key>Print</key>
+					<string>YES</string>
+					<key>View</key>
+					<string>YES</string>
+				</dict>
+			</array>
+			<key>LayoutInfo</key>
+			<dict>
+				<key>Animate</key>
+				<string>NO</string>
+				<key>circoMinDist</key>
+				<real>18</real>
+				<key>circoSeparation</key>
+				<real>0.0</real>
+				<key>layoutEngine</key>
+				<string>dot</string>
+				<key>neatoSeparation</key>
+				<real>0.0</real>
+				<key>twopiSeparation</key>
+				<real>0.0</real>
+			</dict>
+			<key>Orientation</key>
+			<integer>2</integer>
+			<key>PrintOnePage</key>
+			<false/>
+			<key>RowAlign</key>
+			<integer>1</integer>
+			<key>RowSpacing</key>
+			<real>36</real>
+			<key>SheetTitle</key>
+			<string>Canvas 7</string>
+			<key>UniqueID</key>
+			<integer>10</integer>
+			<key>VPages</key>
+			<integer>1</integer>
+		</dict>
 	</array>
 	<key>SmartAlignmentGuidesActive</key>
 	<string>YES</string>
@@ -14961,7 +17647,7 @@
 	<key>WindowInfo</key>
 	<dict>
 		<key>CurrentSheet</key>
-		<integer>4</integer>
+		<integer>6</integer>
 		<key>ExpandedCanvases</key>
 		<array/>
 		<key>Frame</key>
@@ -14979,7 +17665,7 @@
 		<key>SidebarWidth</key>
 		<integer>120</integer>
 		<key>VisibleRegion</key>
-		<string>{{-254, -123}, {1313, 783}}</string>
+		<string>{{0, -116}, {1313, 768}}</string>
 		<key>Zoom</key>
 		<real>1</real>
 		<key>ZoomValues</key>
@@ -15014,6 +17700,11 @@
 				<real>1</real>
 				<real>1</real>
 			</array>
+			<array>
+				<string>Canvas 7</string>
+				<real>1</real>
+				<real>1</real>
+			</array>
 		</array>
 	</dict>
 	<key>saveQuickLookFiles</key>