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<b>let </b><font color="Maroon">c<sub>3</sub></font> be   <a href="group_1.html#NM1">Group</a>;<br/>

<b>reconsider </b><font color="Maroon">c<sub>4</sub></font> =  <a href="partfun1.html#K6">id</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>3</sub></font> as   <a href="group_6.html#NM2">Homomorphism</a> of <font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>3</sub></font> <b>by </b><i><a class="ref" href="group_6.html#T47" target="_self">Th47</a></i>;<br/>
<a NAME="E2:87_1_1"/>
( <font color="Maroon">c<sub>4</sub></font> is <a href="funct_1.html#V2">one-to-one</a> &amp;  <a href="relset_1.html#K5">rng</a> <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>3</sub></font> )
 
<b>by </b><i><a class="ref" href="funct_2.html#D3">FUNCT_2:def 3</a></i>;<br/>
<a NAME="E3:87_1_1"/><b>then </b>
<font color="Maroon">c<sub>4</sub></font> <a href="group_6.html#NR3" target="_self">is_isomorphism</a> 
 
<b>by </b><i><a class="ref" href="group_6.html#T70" target="_self">Th70</a></i>;<br/>
<b>hence </b><a NAME="E4:87_1_1"/>
ex <font color="Olive">b<sub>1</sub></font> being  <a href="group_6.html#NM2">Homomorphism</a> of <font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>3</sub></font> st <font color="Olive">b<sub>1</sub></font> <a href="group_6.html#NR3" target="_self">is_isomorphism</a> 
 ;<br/>


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