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<b>let </b><font color="Maroon" title="c1">G</font>, <font color="Maroon" title="c2">H</font> be  <a href="group_1.html#V1" title="GROUP_1:attr.1">strict</a> <a href="group_1.html#NM1" title="GROUP_1:NM.1">Group</a>;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:99"/><i><font color="Green" title="E71">A1</font></i>: 
<font color="Maroon" title="c1">G</font>,<font color="Maroon" title="c2">H</font> <a href="group_6.html#R2" title="GROUP_6:pred.2">are_isomorphic</a> 
 <b>and </b><br/><a NAME="E2:99"/><i><font color="Green" title="E72">A2</font></i>: 
<font color="Maroon" title="c1">G</font> is <a href="realset2.html#V3" title="REALSET2:attr.3">trivial</a>
 ;<br/>

<a NAME="E3:99"/><i><font color="Green" title="E73">A3</font></i>: 
(  <a href="group_1.html#K9" title="GROUP_1:func.9">ord</a> <font color="Maroon" title="c1">G</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 &amp; <font color="Maroon" title="c1">G</font> is <a href="group_1.html#V6" title="GROUP_1:attr.6">finite</a> )
 
<b>by </b><i><a class="txt" href="group_6.html#E2:99"><i><font color="Green" title="E72">A2</font></i></a>, <a class="ref" href="group_6.html#T12" target="_self" title="GROUP_6:th.12">Th12</a></i>;<br/>
<a NAME="E4:99"/><b>then </b><i><font color="Green" title="E74">A4</font></i>: 
 <a href="group_1.html#K9" title="GROUP_1:func.9">ord</a> <font color="Maroon" title="c2">H</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1
 
<b>by </b><i><a class="txt" href="group_6.html#E1:99"><i><font color="Green" title="E71">A1</font></i></a>, <a class="ref" href="group_6.html#T86" target="_self" title="GROUP_6:th.86">Th86</a></i>;<br/>
<a NAME="E5:99"/>
<font color="Maroon" title="c2">H</font> is <a href="group_1.html#V6" title="GROUP_1:attr.6">finite</a>
 
<b>by </b><i><a class="txt" href="group_6.html#E1:99"><i><font color="Green" title="E71">A1</font></i></a>, <a class="txt" href="group_6.html#E3:99"><i><font color="Green" title="E73">A3</font></i></a>, <a class="ref" href="group_6.html#T85" target="_self" title="GROUP_6:th.85">Th85</a></i>;<br/>
<b>hence </b><a NAME="E6:99"/>
<font color="Maroon" title="c2">H</font> is <a href="realset2.html#V3" title="REALSET2:attr.3">trivial</a>
 <b>by </b><i><a class="txt" href="group_6.html#E4:99"><i><font color="Green" title="E74">A4</font></i></a>, <a class="ref" href="group_6.html#T12" target="_self" title="GROUP_6:th.12">Th12</a></i>;<br/>


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