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





<b>assume </b><b>that </b><br/><a NAME="E1:90"/><i><font color="Green">E45</font></i>: 
<font color="Maroon">G</font>,<font color="Maroon">H</font> <a href="group_6.html#R1" target="_self">are_isomorphic</a> 
 <b>and </b><br/><a NAME="E2:90"/><i><font color="Green">E46</font></i>: 
<font color="Maroon">H</font>,<font color="Maroon">I</font> <a href="group_6.html#R1" target="_self">are_isomorphic</a> 
 ;<br/>

<b>consider </b><font color="Maroon">g</font> being   <a href="group_6.html#NM2">Homomorphism</a> of <font color="Maroon">G</font>,<font color="Maroon">H</font><b> such that </b><br/><a NAME="E4:90"/><i><font color="Green">E51</font></i>: 
<font color="Maroon">g</font> <a href="group_6.html#NR3" target="_self">is_isomorphism</a> 
 <b>by </b><i>, </i>;<br/>
<b>consider </b><font color="Maroon">h1</font> being   <a href="group_6.html#NM2">Homomorphism</a> of <font color="Maroon">H</font>,<font color="Maroon">I</font><b> such that </b><br/><a NAME="E6:90"/><i><font color="Green">E52</font></i>: 
<font color="Maroon">h1</font> <a href="group_6.html#NR3" target="_self">is_isomorphism</a> 
 <b>by </b><i><a class="ref" href="group_6.html#D1" target="_self">Def1</a>, </i>;<br/>
<a NAME="E7:90"/>
<font color="Maroon">h1</font> <a href="group_6.html#K8" target="_self">*</a> <font color="Maroon">g</font> <a href="group_6.html#NR3" target="_self">is_isomorphism</a> 
 
<b>by </b><i><a class="ref" href="group_6.html#T10" target="_self">Th10</a>, , </i>;<br/>
<b>hence </b><a NAME="E8:90"/>
<font color="Maroon">G</font>,<font color="Maroon">I</font> <a href="group_6.html#R1" target="_self">are_isomorphic</a> 
 <b>by </b><i/>;<br/>


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