<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon">W</font> be    <a href="glib_001.html#M3" target="_self">Walk</a> of <font color="Maroon">G</font>;<br/>

<b>assume </b><a NAME="E1:104_4_1"/>
<font color="Maroon">W</font> is <a href="glib_001.html#V6" target="_self">vertex-distinct</a>
 ;<br/>

<a NAME="E2:104_4_1"/><b>then </b>
for <font color="Olive">m</font>, <font color="Olive">n</font> being <a href="abian.html#V1">odd</a>  <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a>   st <font color="Olive">m</font> <a href="xxreal_0.html#R1">&lt;=</a>  <a href="finseq_1.html#K3">len</a> <font color="Maroon">W</font> &amp; <font color="Olive">n</font> <a href="xxreal_0.html#R1">&lt;=</a>  <a href="finseq_1.html#K3">len</a> <font color="Maroon">W</font> &amp; <font color="Maroon">W</font> <a href="funct_1.html#K1">.</a> <font color="Olive">m</font> <a href="hidden.html#R1">=</a> <font color="Maroon">W</font> <a href="funct_1.html#K1">.</a> <font color="Olive">n</font> holds <br/><font color="Olive">m</font> <a href="hidden.html#R1">=</a> <font color="Olive">n</font>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E3:104_4_1"/>
<font color="Maroon">W</font> is <a href="glib_001.html#V5" target="_self">Path-like</a>
 <b>by </b><i/>;<br/>


</div>
