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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="glib_000.html#NM2">_Graph</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be    <a href="glib_001.html#M3" target="_self">Walk</a> of <font color="Maroon">c<sub>1</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>3</sub></font> be    <a href="glib_001.html#M4" target="_self">Subwalk</a> of <font color="Maroon">c<sub>2</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>4</sub></font> be    <a href="glib_001.html#M4" target="_self">Subwalk</a> of <font color="Maroon">c<sub>3</sub></font>;<br/>







<b>set </b><font color="Maroon">c<sub>5</sub></font> = <font color="Maroon">c<sub>2</sub></font> <a href="glib_001.html#K12" target="_self">.edgeSeq()</a> ;<br/>
<b>set </b><font color="Maroon">c<sub>6</sub></font> = <font color="Maroon">c<sub>3</sub></font> <a href="glib_001.html#K12" target="_self">.edgeSeq()</a> ;<br/>
<b>set </b><font color="Maroon">c<sub>7</sub></font> = <font color="Maroon">c<sub>4</sub></font> <a href="glib_001.html#K12" target="_self">.edgeSeq()</a> ;<br/>
<a NAME="E1:131"/><i><font color="Green">E107</font></i>: 
( <font color="Maroon">c<sub>4</sub></font> <a href="glib_001.html#R1" target="_self">is_Walk_from</a> <font color="Maroon">c<sub>3</sub></font> <a href="glib_001.html#K3" target="_self">.first()</a> ,<font color="Maroon">c<sub>3</sub></font> <a href="glib_001.html#K4" target="_self">.last()</a>  &amp; ex <font color="Olive">b<sub>1</sub></font> being   <a href="graph_2.html#M1">FinSubsequence</a> of <font color="Maroon">c<sub>3</sub></font> <a href="glib_001.html#K12" target="_self">.edgeSeq()</a>  st <font color="Maroon">c<sub>4</sub></font> <a href="glib_001.html#K12" target="_self">.edgeSeq()</a>  <a href="hidden.html#R1">=</a>  <a href="finseq_1.html#K15">Seq</a> <font color="Olive">b<sub>1</sub></font> )
 
<b>by </b><i><a class="ref" href="glib_001.html#D32" target="_self">Def32</a></i>;<br/>
<a NAME="E2:131"/>
( <font color="Maroon">c<sub>3</sub></font> <a href="glib_001.html#R1" target="_self">is_Walk_from</a> <font color="Maroon">c<sub>2</sub></font> <a href="glib_001.html#K3" target="_self">.first()</a> ,<font color="Maroon">c<sub>2</sub></font> <a href="glib_001.html#K4" target="_self">.last()</a>  &amp; ex <font color="Olive">b<sub>1</sub></font> being   <a href="graph_2.html#M1">FinSubsequence</a> of <font color="Maroon">c<sub>2</sub></font> <a href="glib_001.html#K12" target="_self">.edgeSeq()</a>  st <font color="Maroon">c<sub>3</sub></font> <a href="glib_001.html#K12" target="_self">.edgeSeq()</a>  <a href="hidden.html#R1">=</a>  <a href="finseq_1.html#K15">Seq</a> <font color="Olive">b<sub>1</sub></font> )
 
<b>by </b><i><a class="ref" href="glib_001.html#D32" target="_self">Def32</a></i>;<br/>
<a NAME="E3:131"/><b>then </b><i><font color="Green">E108</font></i>: 
( <font color="Maroon">c<sub>3</sub></font> <a href="glib_001.html#K3" target="_self">.first()</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> <a href="glib_001.html#K3" target="_self">.first()</a>  &amp; <font color="Maroon">c<sub>3</sub></font> <a href="glib_001.html#K4" target="_self">.last()</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> <a href="glib_001.html#K4" target="_self">.last()</a>  )
 
<b>by </b><i><a class="ref" href="glib_001.html#D23" target="_self">Def23</a></i>;<br/>
<b>consider </b><font color="Maroon">c<sub>8</sub></font> being    <a href="graph_2.html#M1">FinSubsequence</a> of <font color="Maroon">c<sub>3</sub></font> <a href="glib_001.html#K12" target="_self">.edgeSeq()</a> <b> such that </b><br/><a NAME="E5:131"/><i><font color="Green">E109</font></i>: 
<font color="Maroon">c<sub>4</sub></font> <a href="glib_001.html#K12" target="_self">.edgeSeq()</a>  <a href="hidden.html#R1">=</a>  <a href="finseq_1.html#K15">Seq</a> <font color="Maroon">c<sub>8</sub></font>
 <b>by </b><i><a class="ref" href="glib_001.html#D32" target="_self">Def32</a></i>;<br/>
<b>consider </b><font color="Maroon">c<sub>9</sub></font> being    <a href="graph_2.html#M1">FinSubsequence</a> of <font color="Maroon">c<sub>2</sub></font> <a href="glib_001.html#K12" target="_self">.edgeSeq()</a> <b> such that </b><br/><a NAME="E7:131"/><i><font color="Green">E110</font></i>: 
<font color="Maroon">c<sub>3</sub></font> <a href="glib_001.html#K12" target="_self">.edgeSeq()</a>  <a href="hidden.html#R1">=</a>  <a href="finseq_1.html#K15">Seq</a> <font color="Maroon">c<sub>9</sub></font>
 <b>by </b><i><a class="ref" href="glib_001.html#D32" target="_self">Def32</a></i>;<br/>
<b>set </b><font color="Maroon">c<sub>10</sub></font> = <font color="Maroon">c<sub>9</sub></font> <a href="relat_1.html#K7">|</a> <span class="p1">(<span class="default"><a href="relset_1.html#K5">rng</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="finseq_1.html#K14">Sgm</a> <span class="p4">(<span class="default"><a href="relat_1.html#K1">dom</a> <font color="Maroon">c<sub>9</sub></font></span>)</span></span>)</span> <a href="relset_1.html#K8">|</a> <span class="p3">(<span class="default"><a href="relat_1.html#K1">dom</a> <font color="Maroon">c<sub>8</sub></font></span>)</span></span>)</span></span>)</span>;<br/>
<b>reconsider </b><font color="Maroon">c<sub>11</sub></font> = <font color="Maroon">c<sub>9</sub></font> <a href="relat_1.html#K7">|</a> <span class="p1">(<span class="default"><a href="relset_1.html#K5">rng</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="finseq_1.html#K14">Sgm</a> <span class="p4">(<span class="default"><a href="relat_1.html#K1">dom</a> <font color="Maroon">c<sub>9</sub></font></span>)</span></span>)</span> <a href="relset_1.html#K8">|</a> <span class="p3">(<span class="default"><a href="relat_1.html#K1">dom</a> <font color="Maroon">c<sub>8</sub></font></span>)</span></span>)</span></span>)</span> as    <a href="graph_2.html#M1">FinSubsequence</a> of <font color="Maroon">c<sub>2</sub></font> <a href="glib_001.html#K12" target="_self">.edgeSeq()</a>  <b>by </b><i><a class="ref" href="graph_2.html#T29">GRAPH_2:29</a></i>;<br/>
<a NAME="E9:131"/>
<font color="Maroon">c<sub>4</sub></font> <a href="glib_001.html#K12" target="_self">.edgeSeq()</a>  <a href="hidden.html#R1">=</a>  <a href="finseq_1.html#K15">Seq</a> <font color="Maroon">c<sub>11</sub></font>
 
<b>by </b><i><a class="txt" href="glib_001.html#E5:131"><i><font color="Green">E109</font></i></a>, <a class="txt" href="glib_001.html#E7:131"><i><font color="Green">E110</font></i></a>, <a class="ref" href="graph_2.html#T30">GRAPH_2:30</a></i>;<br/>
<b>hence </b><a NAME="E10:131"/>
<font color="Maroon">c<sub>4</sub></font> is    <a href="glib_001.html#M4" target="_self">Subwalk</a> of <font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="txt" href="glib_001.html#E1:131"><i><font color="Green">E107</font></i></a>, <a class="txt" href="glib_001.html#E3:131"><i><font color="Green">E108</font></i></a>, <a class="ref" href="glib_001.html#D32" target="_self">Def32</a></i>;<br/>


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