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<b>let </b><font color="Maroon" title="c1">G</font> be  <a href="struct_0.html#V7" title="STRUCT_0:attr.7">trivial</a> <a href="algstr_0.html#V15" title="ALGSTR_0:attr.15">strict</a> <a href="group_1.html#NM1" title="GROUP_1:NM.1">Group</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">H</font> being <a href="algstr_0.html#V15" title="ALGSTR_0:attr.15">strict</a> <a href="group_1.html#NM1" title="GROUP_1:NM.1">Group</a>  st <font color="Maroon" title="c1">G</font>,<font color="Olive" title="b1">H</font> <a href="group_6.html#R2" title="GROUP_6:pred.2">are_isomorphic</a>  holds <br/><font color="Olive" title="b1">H</font> is <a href="struct_0.html#V7" title="STRUCT_0:attr.7">trivial</a></span><br/><b>let </b><font color="Maroon" title="c2">H</font> be  <a href="algstr_0.html#V15" title="ALGSTR_0:attr.15">strict</a> <a href="group_1.html#NM1" title="GROUP_1:NM.1">Group</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <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>  implies <font color="Maroon" title="c2">H</font> is <a href="struct_0.html#V7" title="STRUCT_0:attr.7">trivial</a> )</span><br/>



<b>assume </b><a NAME="E1:94"/><i><font color="Green" title="E60">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> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c2">H</font> is <a href="struct_0.html#V7" title="STRUCT_0:attr.7">trivial</a></span><br/>

<a NAME="E2:94"/><i><font color="Green" title="E61">A2</font></i>: 
 <a href="group_1.html#K7" title="GROUP_1:func.7">card</a> <font color="Maroon" title="c1">G</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1
 
<b>by </b><i><a class="ref" href="group_6.html#T12" target="_self" title="GROUP_6:th.12">Th12</a></i>;<br/>
<b>reconsider </b><font color="Maroon" title="c3">H</font> = <font color="Maroon" title="c2">H</font> as  <a href="struct_0.html#V8" title="STRUCT_0:attr.8">finite</a> <a href="group_1.html#NM1" title="GROUP_1:NM.1">Group</a> <b>by </b><i><a class="txt" href="#E1:94"><i><font color="Green" title="E60">A1</font></i></a>, <a class="ref" href="group_6.html#T85" target="_self" title="GROUP_6:th.85">Th85</a></i>;<br/>
<a NAME="E4:94"/>
 <a href="group_1.html#K7" title="GROUP_1:func.7">card</a> <font color="Maroon" title="c3">H</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1
 
<b>by </b><i><a class="txt" href="#E1:94"><i><font color="Green" title="E60">A1</font></i></a>, <a class="txt" href="#E2:94"><i><font color="Green" title="E61">A2</font></i></a>, <a class="ref" href="group_6.html#T84" target="_self" title="GROUP_6:th.84">Th84</a></i>;<br/>
<b>hence </b><a NAME="E5:94"/>
<font color="Maroon" title="c2">H</font> is <a href="struct_0.html#V7" title="STRUCT_0:attr.7">trivial</a>
 <b>by </b><i><a class="ref" href="group_6.html#T12" target="_self" title="GROUP_6:th.12">Th12</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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