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<b>let </b><font color="Maroon">G</font> be   <a href="glib_000.html#NM2">_Graph</a>;<br/><b>let </b><font color="Maroon">W</font> be    <a href="glib_001.html#M3">Walk</a> of <font color="Maroon">G</font>;<br/><b>let </b><font color="Maroon">S</font> be    <a href="glib_001.html#M4">Subwalk</a> of <font color="Maroon">W</font>;<br/>





<b>assume </b><a NAME="E1:40"/><i><font color="Green">E30</font></i>: 
 <a href="finseq_1.html#K3">len</a> <font color="Maroon">S</font> <a href="hidden.html#R1">=</a>  <a href="finseq_1.html#K3">len</a> <font color="Maroon">W</font>
 ;<br/>

<b>consider </b><font color="Maroon">es</font> being    <a href="graph_2.html#M1">FinSubsequence</a> of <font color="Maroon">W</font> <a href="glib_001.html#K12">.edgeSeq()</a> <b> such that </b><br/><a NAME="E3:40"/><i><font color="Green">E33</font></i>: 
<font color="Maroon">S</font> <a href="glib_001.html#K12">.edgeSeq()</a>  <a href="hidden.html#R1">=</a>  <a href="finseq_1.html#K15">Seq</a> <font color="Maroon">es</font>
 <b>by </b><i><a class="ref" href="glib_001.html#D32">GLIB_001:def 32</a></i>;<br/>
<a NAME="E4:40"/><i><font color="Green">E53</font></i>: 
 <a href="finseq_1.html#K3">len</a> <font color="Maroon">S</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default">2 <a href="nat_1.html#K2">*</a> <span class="p2">(<span class="default"><a href="finseq_1.html#K3">len</a> <span class="p3">(<span class="default"><font color="Maroon">S</font> <a href="glib_001.html#K12">.edgeSeq()</a> </span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1
 
<b>by </b><i><a class="ref" href="glib_001.html#D15">GLIB_001:def 15</a></i>;<br/>
<a NAME="E5:40"/><i><font color="Green">E56</font></i>: 
 <a href="finseq_1.html#K3">len</a> <font color="Maroon">W</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default">2 <a href="nat_1.html#K2">*</a> <span class="p2">(<span class="default"><a href="finseq_1.html#K3">len</a> <span class="p3">(<span class="default"><font color="Maroon">W</font> <a href="glib_001.html#K12">.edgeSeq()</a> </span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1
 
<b>by </b><i><a class="ref" href="glib_001.html#D15">GLIB_001:def 15</a></i>;<br/>
<a NAME="E6:40"/><i><font color="Green">E59</font></i>: 
<font color="Maroon">S</font> <a href="glib_001.html#K12">.edgeSeq()</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">W</font> <a href="glib_001.html#K12">.edgeSeq()</a> 
 
<b>by </b><i>, , <a class="ref" href="chord.html#T3" target="_self">Th3</a>, , </i>;<br/>
<a NAME="E7:40"/>
<font color="Maroon">S</font> <a href="glib_001.html#K3">.first()</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">W</font> <a href="glib_001.html#K3">.first()</a> 
 
<b>by </b><i><a class="ref" href="glib_001.html#T162">GLIB_001:162</a></i>;<br/>
<b>hence </b><a NAME="E8:40"/>
<font color="Maroon">S</font> <a href="hidden.html#R1">=</a> <font color="Maroon">W</font>
 <b>by </b><i>, <a class="txt" href="chord.html#E3:40"><i><font color="Green">E33</font></i></a></i>;<br/>


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