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<b>let </b><font color="Maroon" title="c1">G1</font> be   <a href="group_1.html#NM1" title="GROUP_1:NM.1">Group</a>;<br/>

<b>deffunc </b><font color="Maroon">H<sub>1</sub></font>(  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">G1</font>) <b>-&gt; </b>  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1">(<span class="default"><a href="group_7.html#K2" title="GROUP_7:func.2">product</a> <span class="p2"><a href="group_7.html#K4" title="GROUP_7:func.4">&lt;*</a><span class="default"><font color="Maroon" title="c1">G1</font></span><a href="group_7.html#K4" title="GROUP_7:func.4">*&gt;</a></span></span>)</span> = <span class="p1"><a href="group_7.html#K10" title="GROUP_7:func.10">&lt;*</a><span class="default">$1</span><a href="group_7.html#K10" title="GROUP_7:func.10">*&gt;</a></span>;<br/>
<b>consider </b><font color="Maroon" title="c2">f</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">G1</font>,the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="group_7.html#K2" title="GROUP_7:func.2">product</a> <span class="p2"><a href="group_7.html#K8" title="GROUP_7:func.8">&lt;*</a><span class="default"><font color="Maroon" title="c1">G1</font></span><a href="group_7.html#K8" title="GROUP_7:func.8">*&gt;</a></span></span>)</span><b> such that </b><br/><a NAME="E2:87"/><i><font color="Green" title="E37">A1</font></i>: 
for <font color="Olive" title="b1">x</font> being  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">G1</font> holds  <font color="Maroon" title="c2">f</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b1">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon">H<sub>1</sub></font>(<font color="Olive" title="b1">x</font>)
 <b>from </b><i><a class="ref" href="funct_2.html#S4" title="FUNCT_2:sch.4">FUNCT_2:sch 4</a>();<br/></i>
<b>reconsider </b><font color="Maroon" title="c3">f</font> = <font color="Maroon" title="c2">f</font> as   <a href="group_6.html#NM2" title="GROUP_6:NM.2">Homomorphism</a> of <font color="Maroon" title="c1">G1</font>,<span class="p1">(<span class="default"><a href="group_7.html#K2" title="GROUP_7:func.2">product</a> <span class="p2"><a href="group_7.html#K8" title="GROUP_7:func.8">&lt;*</a><span class="default"><font color="Maroon" title="c1">G1</font></span><a href="group_7.html#K8" title="GROUP_7:func.8">*&gt;</a></span></span>)</span> <b>by </b><i><a class="txt" href="group_7.html#E2:87"><i><font color="Green" title="E37">A1</font></i></a>, <a class="ref" href="group_7.html#T40" target="_self" title="GROUP_7:th.40">Th40</a></i>;<br/>
<b>take </b>
<font color="Maroon" title="c3">f</font>
; <i><font color="Red">:: according to </font></i><a class="ref" href="group_6.html#D15" title="GROUP_6:def.15">GROUP_6:def 15</a><br/>

<b>thus </b><a NAME="E4:87"/>
<font color="Maroon" title="c3">f</font> is <a href="group_6.html#V4" title="GROUP_6:attr.4">being_isomorphism</a>
 <b>by </b><i><a class="txt" href="group_7.html#E2:87"><i><font color="Green" title="E37">A1</font></i></a>, <a class="ref" href="group_7.html#T41" target="_self" title="GROUP_7:th.41">Th41</a></i>;<br/>


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