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<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#NM1">Element</a> of <font color="Maroon">G</font>;<br/><b>let </b><font color="Maroon">H</font> be    <a href="group_2.html#M1" target="_self">Subgroup</a> of <font color="Maroon">G</font>;<br/>





<a NAME="E1:122"/><i><font color="Green">E35</font></i>: 
 <a href="group_2.html#K7" target="_self">carr</a> <font color="Maroon">H</font>,<font color="Maroon">a</font> <a href="group_2.html#K12" target="_self">*</a> <font color="Maroon">H</font> <a href="wellord2.html#R2">are_equipotent</a> 
 
<b>by </b><i/>;<br/>
<b>thus </b><a NAME="E2:122"/>
 <a href="group_1.html#K8">Ord</a> <font color="Maroon">H</font> <a href="hidden.html#R1">=</a>  <a href="card_1.html#K1">Card</a> <span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="group_2.html#K12" target="_self">*</a> <font color="Maroon">H</font></span>)</span>
 <b>by </b><i>, <a class="ref" href="card_1.html#T21">CARD_1:21</a></i>;<br/>

<a NAME="E3:122"/><i><font color="Green">E36</font></i>: 
 <a href="group_2.html#K7" target="_self">carr</a> <font color="Maroon">H</font>,<font color="Maroon">H</font> <a href="group_2.html#K13" target="_self">*</a> <font color="Maroon">a</font> <a href="wellord2.html#R2">are_equipotent</a> 
 
<b>by </b><i/>;<br/>
<b>thus </b><a NAME="E4:122"/>
 <a href="group_1.html#K8">Ord</a> <font color="Maroon">H</font> <a href="hidden.html#R1">=</a>  <a href="card_1.html#K1">Card</a> <span class="p1">(<span class="default"><font color="Maroon">H</font> <a href="group_2.html#K13" target="_self">*</a> <font color="Maroon">a</font></span>)</span>
 <b>by </b><i>, <a class="ref" href="card_1.html#T21">CARD_1:21</a></i>;<br/>


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