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<b>let </b><font color="Maroon">G</font> be  <a href="group_1.html#V1">strict</a> <a href="group_1.html#NM1">Group</a>, <font color="Maroon">H</font> be  <a href="group_1.html#V1">strict</a> <a href="group_1.html#NM1">Group</a>;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:99"/><i><font color="Green">E45</font></i>: 
<font color="Maroon">G</font>,<font color="Maroon">H</font> <a href="group_6.html#R2" target="_self">are_isomorphic</a> 
 <b>and </b><br/><a NAME="E2:99"/><i><font color="Green">E46</font></i>: 
<font color="Maroon">G</font> is <a href="realset2.html#V3">trivial</a>
 ;<br/>

<a NAME="E3:99"/><i><font color="Green">E51</font></i>: 
(  <a href="group_1.html#K9">ord</a> <font color="Maroon">G</font> <a href="hidden.html#R1">=</a> 1 &amp; <font color="Maroon">G</font> is <a href="group_1.html#V6">finite</a> )
 
<b>by </b><i>, </i>;<br/>
<a NAME="E4:99"/><b>then </b><i><font color="Green">E52</font></i>: 
 <a href="group_1.html#K9">ord</a> <font color="Maroon">H</font> <a href="hidden.html#R1">=</a> 1
 
<b>by </b><i>, </i>;<br/>
<a NAME="E5:99"/>
<font color="Maroon">H</font> is <a href="group_1.html#V6">finite</a>
 
<b>by </b><i>, , <a class="ref" href="group_6.html#T10" target="_self">Th10</a></i>;<br/>
<b>hence </b><a NAME="E6:99"/>
<font color="Maroon">H</font> is <a href="realset2.html#V3">trivial</a>
 <b>by </b><i>, </i>;<br/>


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