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<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">A</font> be   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">G</font>;<br/><b>let </b><font color="Maroon">B</font> be   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">G</font>;<br/>





<b>thus </b><a NAME="E1:99"/>
( <font color="Maroon">A</font> <a href="hidden.html#R2">in</a>  <a href="group_3.html#K8" target="_self">con_class</a> <font color="Maroon">B</font> implies <font color="Maroon">A</font>,<font color="Maroon">B</font> <a href="group_3.html#R4" target="_self">are_conjugated</a>  )
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="99_1"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:99_1"/>
<font color="Maroon">A</font> <a href="hidden.html#R2">in</a>  <a href="group_3.html#K8" target="_self">con_class</a> <font color="Maroon">B</font>
 ;<br/>

<a NAME="E2:99_1"/><b>then </b>
 ex <font color="Olive">C</font> being  <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">G</font> st <br/>( <font color="Maroon">A</font> <a href="hidden.html#R1">=</a> <font color="Olive">C</font> &amp; <font color="Maroon">B</font>,<font color="Olive">C</font> <a href="group_3.html#R4" target="_self">are_conjugated</a>  )
 
;<br/>
<b>hence </b><a NAME="E3:99_1"/>
<font color="Maroon">A</font>,<font color="Maroon">B</font> <a href="group_3.html#R4" target="_self">are_conjugated</a> 
 ;<br/>


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

<b>assume </b><a NAME="E2:99"/>
<font color="Maroon">A</font>,<font color="Maroon">B</font> <a href="group_3.html#R4" target="_self">are_conjugated</a> 
 ;<br/>

<b>hence </b><a NAME="E3:99"/>
<font color="Maroon">A</font> <a href="hidden.html#R2">in</a>  <a href="group_3.html#K8" target="_self">con_class</a> <font color="Maroon">B</font>
 ;<br/>


</div>
