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

<b>assume </b><a NAME="E1:147"/>
<font color="Maroon">G</font> is <a href="group_1.html#V6">finite</a>
 ;<br/>

<b>hence </b> <a href="group_1.html#K9">ord</a> <font color="Maroon">G</font> = 
<span class="p1">(<span class="default"><a href="group_1.html#K9">ord</a> <span class="p2">(<span class="default"><a href="group_2.html#K5" target="_self">(1).</a> <font color="Maroon">G</font></span>)</span></span>)</span> <a href="nat_1.html#K2">*</a> <span class="p1">(<span class="default"><a href="group_2.html#K17" target="_self">index</a> <span class="p2">(<span class="default"><a href="group_2.html#K5" target="_self">(1).</a> <font color="Maroon">G</font></span>)</span></span>)</span>
<b>by </b><i/>
<br/>.= 
1 <a href="nat_1.html#K2">*</a> <span class="p1">(<span class="default"><a href="group_2.html#K17" target="_self">index</a> <span class="p2">(<span class="default"><a href="group_2.html#K5" target="_self">(1).</a> <font color="Maroon">G</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="group_2.html#T14" target="_self">Th14</a></i>
<br/>.= 
 <a href="group_2.html#K17" target="_self">index</a> <span class="p1">(<span class="default"><a href="group_2.html#K5" target="_self">(1).</a> <font color="Maroon">G</font></span>)</span>

;<br/><br/>


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