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

<b>set </b><font color="Maroon">IT</font> = <span class="p1">{<span class="default"> <font color="Olive">W</font> where <font color="Olive">W</font> is   <a href="glib_001.html#NM4">Trail</a> of <font color="Maroon">G</font> : verum </span>}</span> ;<br/>
<a NAME="E1:139_1_1"/><i><font color="Green">E39</font></i>: 
<font color="Maroon">G</font> <a href="glib_001.html#K1" target="_self">.walkOf</a> <span class="p1">(<span class="default"><a href="subset_1.html#K10">choose</a> <span class="p2">(<span class="default"><a href="glib_000.html#K6">the_Vertices_of</a> <font color="Maroon">G</font></span>)</span></span>)</span> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <font color="Olive">W</font> where <font color="Olive">W</font> is   <a href="glib_001.html#NM4">Trail</a> of <font color="Maroon">G</font> : verum </span>}</span> 
 
;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="139_1_1_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">e</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>assume </b><a NAME="E1:139_1_1_1"/>
<font color="Maroon">e</font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <font color="Olive">W</font> where <font color="Olive">W</font> is   <a href="glib_001.html#NM4">Trail</a> of <font color="Maroon">G</font> : verum </span>}</span> 
 ;<br/><b>then consider </b><font color="Maroon">W</font> being   <a href="glib_001.html#NM4">Trail</a> of <font color="Maroon">G</font><b> such that </b><br/><a NAME="E3:139_1_1_1"/><i><font color="Green">E40</font></i>: 
<font color="Maroon">W</font> <a href="hidden.html#R1">=</a> <font color="Maroon">e</font>
 ;<br/><a NAME="E4:139_1_1_1"/>
<font color="Maroon">e</font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <font color="Olive">X</font> where <font color="Olive">X</font> is    <a href="glib_001.html#M3" target="_self">Walk</a> of <font color="Maroon">G</font> : verum </span>}</span> 
 <b>by </b><i/>;<br/><b>hence </b><a NAME="E5:139_1_1_1"/>
<font color="Maroon">e</font> <a href="hidden.html#R2">in</a> <font color="Maroon">G</font> <a href="glib_001.html#K21" target="_self">.allWalks()</a> 
 ;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E3:139_1_1"/>
<span class="p1">{<span class="default"> <font color="Olive">W</font> where <font color="Olive">W</font> is   <a href="glib_001.html#NM4">Trail</a> of <font color="Maroon">G</font> : verum </span>}</span>  is  non <a href="xboole_0.html#V1">empty</a> <a href="subset_1.html#NM2">Subset</a> of <span class="p1">(<span class="default"><font color="Maroon">G</font> <a href="glib_001.html#K21" target="_self">.allWalks()</a> </span>)</span>
 <b>by </b><i>, <a class="ref" href="tarski.html#D3">TARSKI:def 3</a></i>;<br/>


</div>
