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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">g</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">G</font>;<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>let </b><font color="Maroon">h</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">H</font>;<br/>







<b>assume </b><a NAME="E1:44"/><i><font color="Green">E35</font></i>: 
<font color="Maroon">h</font> <a href="hidden.html#R1">=</a> <font color="Maroon">g</font>
 ;<br/>

<b>reconsider </b><font color="Maroon">g'</font> = <font color="Maroon">h</font> <a href="group_1.html#K3">"</a>  as   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">G</font> <b>by </b><i/>;<br/>
<a NAME="E3:44"/>
<font color="Maroon">h</font> <a href="group_1.html#K1">*</a> <span class="p1">(<span class="default"><font color="Maroon">h</font> <a href="group_1.html#K3">"</a> </span>)</span> <a href="hidden.html#R1">=</a>  <a href="group_1.html#K2">1.</a> <font color="Maroon">H</font>
 
<b>by </b><i><a class="ref" href="group_1.html#D6">GROUP_1:def 6</a></i>;<br/>
<b>then </b><font color="Maroon">g</font> <a href="group_1.html#K1">*</a> <font color="Maroon">g'</font> = 
 <a href="group_1.html#K2">1.</a> <font color="Maroon">H</font>
<b>by </b><i>, </i>
<br/>.= 
 <a href="group_1.html#K2">1.</a> <font color="Maroon">G</font>
<b>by </b><i/>
;<br/>
<b>hence </b><a NAME="E5:44"/>
<font color="Maroon">h</font> <a href="group_1.html#K3">"</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">g</font> <a href="group_1.html#K3">"</a> 
 <b>by </b><i><a class="ref" href="group_1.html#T20">GROUP_1:20</a></i>;<br/>


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