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



<b>thus </b><a NAME="E1:137"/>
 <a href="group_2.html#K16" target="_self">Index</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"><a href="group_2.html#K14" target="_self">Left_Cosets</a> <font color="Maroon">H</font></span>)</span>
 ;<br/>

<a NAME="E2:137"/>
 <a href="group_2.html#K14" target="_self">Left_Cosets</a> <font color="Maroon">H</font>, <a href="group_2.html#K15" target="_self">Right_Cosets</a> <font color="Maroon">H</font> <a href="wellord2.html#R2">are_equipotent</a> 
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E3:137"/>
 <a href="group_2.html#K16" target="_self">Index</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"><a href="group_2.html#K15" target="_self">Right_Cosets</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/>


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