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

<span class="kw">let </span><font color="Maroon" title="c1">G</font> be   <a href="scmyciel.html#V1" title="SCMYCIEL:attr.1">void</a>  <a href="scmyciel.html#NM1" title="SCMYCIEL:NM.1">SimpleGraph</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="scmyciel.html#K8" title="SCMYCIEL:func.8">clique#</a> <font color="Maroon" title="c1">G</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> </span><br/>

<span class="kw">assume </span><a NAME="E1:107"/><span class="lab"><font color="Green" title="E67">A1</font></span>: 
 <a href="scmyciel.html#K8" title="SCMYCIEL:func.8">clique#</a> <font color="Maroon" title="c1">G</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> 
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> contradiction</span><br/>

<span class="kw">consider </span><font color="Maroon" title="c2">C</font> being   <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>  <a href="scmyciel.html#NM6" title="SCMYCIEL:NM.6">Clique</a> of <font color="Maroon" title="c1">G</font><span class="kw"> such that </span><br/><a NAME="E3:107"/><span class="lab"><font color="Green" title="E68">A2</font></span>: 
 <a href="scmyciel.html#K2" title="SCMYCIEL:func.2">order</a> <font color="Maroon" title="c2">C</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmyciel.html#K8" title="SCMYCIEL:func.8">clique#</a> <font color="Maroon" title="c1">G</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmyciel.html#D15" target="_self" onmouseover="rs('scmyciel/D15')" onmouseout="rh()">Def15</a></span>;<br/>
<a NAME="E4:107"/>
 <a href="scmyciel.html#NK2" title="SCMYCIEL:NK.2">Vertices</a> <font color="Maroon" title="c2">C</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="scmyciel.html#NK2" title="SCMYCIEL:NK.2">Vertices</a> <font color="Maroon" title="c1">G</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="zfmisc_1.html#T77" onmouseover="rs('zfmisc_1/T77')" onmouseout="rh()">ZFMISC_1:77</a></span>;<br/>
<span class="kw">hence </span><a NAME="E5:107"/>
contradiction
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:107"><span class="lab"><font color="Green" title="E67">A1</font></span></a>, <a class="txt" href="#E3:107"><span class="lab"><font color="Green" title="E68">A2</font></span></a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div>
