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<b>let </b><font color="Maroon" title="c3">G</font> be   <a href="group_1.html#NM1" title="GROUP_1:NM.1">Group</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  ex <font color="Olive" title="b1">h</font> being  <a href="group_6.html#NM2" title="GROUP_6:NM.2">Homomorphism</a> of <font color="Maroon" title="c3">G</font>,<font color="Maroon" title="c3">G</font> st <font color="Olive" title="b1">h</font> <a href="group_6.html#NR3" title="GROUP_6:NR.3">is_isomorphism</a> </span><br/>

<b>reconsider </b><font color="Maroon" title="c4">i</font> =  <a href="partfun1.html#K6" title="PARTFUN1:func.6">id</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c3">G</font> as   <a href="group_6.html#NM2" title="GROUP_6:NM.2">Homomorphism</a> of <font color="Maroon" title="c3">G</font>,<font color="Maroon" title="c3">G</font> <b>by </b><i><a class="ref" href="group_6.html#T47" target="_self" title="GROUP_6:th.47">Th47</a></i>;<br/>
<a NAME="E2:90_1_1"/>
( <font color="Maroon" title="c4">i</font> is <a href="funct_1.html#V2" title="FUNCT_1:attr.2">one-to-one</a> &amp;  <a href="relset_1.html#K5" title="RELSET_1:func.5">rng</a> <font color="Maroon" title="c4">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c3">G</font> )
 
<b>by </b><i><a class="ref" href="funct_2.html#D3" title="FUNCT_2:def.3">FUNCT_2:def 3</a></i>;<br/>
<a NAME="E3:90_1_1"/><b>then </b>
<font color="Maroon" title="c4">i</font> <a href="group_6.html#NR3" title="GROUP_6:NR.3">is_isomorphism</a> 
 
<b>by </b><i><a class="ref" href="group_6.html#T70" target="_self" title="GROUP_6:th.70">Th70</a></i>;<br/>
<b>hence </b><a NAME="E4:90_1_1"/>
 ex <font color="Olive" title="b1">h</font> being  <a href="group_6.html#NM2" title="GROUP_6:NM.2">Homomorphism</a> of <font color="Maroon" title="c3">G</font>,<font color="Maroon" title="c3">G</font> st <font color="Olive" title="b1">h</font> <a href="group_6.html#NR3" title="GROUP_6:NR.3">is_isomorphism</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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