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<b>let </b><font color="Maroon">G1</font> be   <a href="glib_000.html#NM2">_Graph</a>;<br/><b>let </b><font color="Maroon">G2</font> be    <a href="glib_000.html#M2">Subgraph</a> of <font color="Maroon">G1</font>;<br/><b>let </b><font color="Maroon">W</font> be    <a href="glib_001.html#M3" target="_self">Walk</a> of <font color="Maroon">G1</font>;<br/>





<b>assume </b><a NAME="E1:239"/><i><font color="Green">E39</font></i>: 
( <font color="Maroon">W</font> is <a href="glib_001.html#V3" target="_self">trivial</a> &amp; <font color="Maroon">W</font> <a href="glib_001.html#K3" target="_self">.first()</a>  <a href="hidden.html#R2">in</a>  <a href="glib_000.html#K25">the_Vertices_of</a> <font color="Maroon">G2</font> )
 ;<br/>

<b>then consider </b><font color="Maroon">v</font> being   <a href="glib_000.html#NM10">Vertex</a> of <font color="Maroon">G1</font><b> such that </b><br/><a NAME="E3:239"/><i><font color="Green">E40</font></i>: 
<font color="Maroon">W</font> <a href="hidden.html#R1">=</a> <font color="Maroon">G1</font> <a href="glib_001.html#K1" target="_self">.walkOf</a> <font color="Maroon">v</font>
 <b>by </b><i/>;<br/>
<a NAME="E4:239"/><i><font color="Green">E42</font></i>: 
<font color="Maroon">W</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="finseq_1.html#K12">&lt;*</a><span class="default"><font color="Maroon">v</font></span><a href="finseq_1.html#K12">*&gt;</a></span>
 
<b>by </b><i><a class="txt" href="glib_001.html#E54"><i><font color="Green">Lemma157</font></i></a></i>;<br/>
<b>reconsider </b><font color="Maroon">v'</font> = <font color="Maroon">v</font> as   <a href="glib_000.html#NM10">Vertex</a> of <font color="Maroon">G2</font> <b>by </b><i><a class="txt" href="glib_001.html#E53"><i><font color="Green">Lemma156</font></i></a>, <a class="txt" href="glib_001.html#E54"><i><font color="Green">Lemma157</font></i></a>, </i>;<br/>
<a NAME="E6:239"/>
<font color="Maroon">W</font> <a href="hidden.html#R1">=</a> <font color="Maroon">G2</font> <a href="glib_001.html#K1" target="_self">.walkOf</a> <font color="Maroon">v'</font>
 
<b>by </b><i><a class="txt" href="glib_001.html#E55"><i><font color="Green">Lemma158</font></i></a></i>;<br/>
<b>hence </b><a NAME="E7:239"/>
<font color="Maroon">W</font> is    <a href="glib_001.html#M3" target="_self">Walk</a> of <font color="Maroon">G2</font>
 ;<br/>


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