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<b>let </b><font color="Maroon">c<sub>1</sub></font> be  <a href="group_1.html#V1">strict</a> <a href="group_1.html#NM1">Group</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font> be    <a href="fraenkel.html#M2">Element</a> of  <a href="autgroup.html#K1" target="_self">Aut</a> <font color="Maroon">c<sub>1</sub></font>;<br/>



<b>reconsider </b><font color="Maroon">c<sub>4</sub></font> = <font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>5</sub></font> = <font color="Maroon">c<sub>3</sub></font> as   <a href="group_6.html#NM2">Homomorphism</a> of <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>1</sub></font> <b>by </b><i><a class="ref" href="autgroup.html#D1" target="_self">Def1</a></i>;<br/>
<a NAME="E2:10"/>
( <font color="Maroon">c<sub>4</sub></font> <a href="group_6.html#NR3" target="_self">is_isomorphism</a>  &amp; <font color="Maroon">c<sub>5</sub></font> <a href="group_6.html#NR3" target="_self">is_isomorphism</a>  )
 
<b>by </b><i><a class="ref" href="autgroup.html#T5" target="_self">Th5</a></i>;<br/>
<a NAME="E3:10"/><b>then </b>
<font color="Maroon">c<sub>4</sub></font> <a href="group_6.html#K8">*</a> <font color="Maroon">c<sub>5</sub></font> <a href="group_6.html#NR3" target="_self">is_isomorphism</a> 
 
<b>by </b><i><a class="ref" href="group_6.html#T74">GROUP_6:74</a></i>;<br/>
<b>hence </b><a NAME="E4:10"/>
<font color="Maroon">c<sub>2</sub></font> <a href="partfun1.html#K1">*</a> <font color="Maroon">c<sub>3</sub></font> is    <a href="fraenkel.html#M2">Element</a> of  <a href="autgroup.html#K1" target="_self">Aut</a> <font color="Maroon">c<sub>1</sub></font>
 <b>by </b><i><a class="ref" href="autgroup.html#T5" target="_self">Th5</a></i>;<br/>


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