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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="group_1.html#NM1">Group</a>;<br/><b>let </b><font color="Maroon">c<sub>2</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>3</sub></font> be   <a href="group_6.html#NM2">Homomorphism</a> of <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font>;<br/>





<b>assume </b><a NAME="E1:83"/><i><font color="Green">E62</font></i>: 
( <font color="Maroon">c<sub>3</sub></font> <a href="group_6.html#NR2" target="_self">is_epimorphism</a>  &amp; <font color="Maroon">c<sub>3</sub></font> <a href="group_6.html#NR1" target="_self">is_monomorphism</a>  )
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="group_6.html#D14" target="_self">GROUP_6:def 14</a><br/>

<a NAME="E2:83"/><b>then </b>
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a>  <a href="group_6.html#K12" target="_self">Image</a> <font color="Maroon">c<sub>3</sub></font>
 
<b>by </b><i><a class="ref" href="group_6.html#T67" target="_self">Th67</a></i>;<br/>
<b>hence </b><a NAME="E3:83"/>
<font color="Maroon">c<sub>3</sub></font> <a href="funct_1.html#K2">"</a>  is   <a href="group_6.html#NM2">Homomorphism</a> of <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>1</sub></font>
 <b>by </b><i><a class="txt" href="group_6.html#E1:83"><i><font color="Green">E62</font></i></a>, <a class="ref" href="group_6.html#T65" target="_self">Th65</a></i>;<br/>


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