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

<b>let </b><font color="Maroon">G</font> be   <a href="group_1.html#NM1">Group</a>;<br/><b>let </b><font color="Maroon">x</font> be    <a href="hidden.html#M1">set</a> ;<br/>



<div><b>hereby </b>
<div class="add"><b>assume </b><a NAME="E1:21_1"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a>  <a href="weddwitt.html#K3" target="_self">conjugate_Classes</a> <font color="Maroon">G</font>
 ;<br/><a NAME="E2:21_1"/><b>then </b>
 ex <font color="Olive">S</font> being  <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">G</font> st <br/>( <font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <font color="Olive">S</font> &amp;  ex <font color="Olive">a</font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">G</font> st <font color="Olive">S</font> <a href="hidden.html#R1">=</a>  <a href="group_3.html#K7">con_class</a> <font color="Olive">a</font> )
 ;<br/><b>hence </b><a NAME="E3:21_1"/>
 ex <font color="Olive">a</font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">G</font> st  <a href="group_3.html#K7">con_class</a> <font color="Olive">a</font> <a href="hidden.html#R1">=</a> <font color="Maroon">x</font>
 ;<br/></div>
<b>end;</b></div>

<b>given </b><font color="Maroon">a</font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">G</font><b> such that </b><a NAME="E2:21"/><i><font color="Green">E35</font></i>: 
 <a href="group_3.html#K7">con_class</a> <font color="Maroon">a</font> <a href="hidden.html#R1">=</a> <font color="Maroon">x</font>
 ;<br/>

<b>thus </b><a NAME="E3:21"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a>  <a href="weddwitt.html#K3" target="_self">conjugate_Classes</a> <font color="Maroon">G</font>
 <b>by </b><i/>;<br/>


</div>
