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

<b>let </b><font color="Maroon">c<sub>3</sub></font> be   <a href="graph_1.html#NM1">Graph</a>;<br/><b>let </b><font color="Maroon">c<sub>4</sub></font> be  <a href="graph_1.html#V1" target="_self">strict</a> <a href="graph_1.html#NM1">Graph</a>;<br/>



<b>thus </b><a NAME="E1:64"/>
( <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R2">in</a>  <a href="graph_1.html#K7" target="_self">bool</a> <font color="Maroon">c<sub>3</sub></font> implies <font color="Maroon">c<sub>4</sub></font> <a href="graph_1.html#R4" target="_self">c=</a> <font color="Maroon">c<sub>3</sub></font> )
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="64_1"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:64_1"/>
<font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R2">in</a>  <a href="graph_1.html#K7" target="_self">bool</a> <font color="Maroon">c<sub>3</sub></font>
 ;<br/>

<a NAME="E2:64_1"/><b>then </b>
<font color="Maroon">c<sub>4</sub></font> is    <a href="graph_1.html#M3" target="_self">Subgraph</a> of <font color="Maroon">c<sub>3</sub></font>
 
<b>by </b><i><a class="ref" href="graph_1.html#D24" target="_self">Def24</a></i>;<br/>
<b>hence </b><a NAME="E3:64_1"/>
<font color="Maroon">c<sub>4</sub></font> <a href="graph_1.html#R4" target="_self">c=</a> <font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="ref" href="graph_1.html#D23" target="_self">Def23</a></i>;<br/>


</div><b>end;</b></div>

<b>assume </b><a NAME="E2:64"/>
<font color="Maroon">c<sub>4</sub></font> <a href="graph_1.html#R4" target="_self">c=</a> <font color="Maroon">c<sub>3</sub></font>
 ;<br/>

<a NAME="E3:64"/><b>then </b>
<font color="Maroon">c<sub>4</sub></font> is    <a href="graph_1.html#M3" target="_self">Subgraph</a> of <font color="Maroon">c<sub>3</sub></font>
 
<b>by </b><i><a class="ref" href="graph_1.html#D23" target="_self">Def23</a></i>;<br/>
<b>hence </b><a NAME="E4:64"/>
<font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R2">in</a>  <a href="graph_1.html#K7" target="_self">bool</a> <font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="ref" href="graph_1.html#D24" target="_self">Def24</a></i>;<br/>


</div>
