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<b>set </b><font color="Maroon" title="c4">f</font> =  <a href="group_6.html#K9" title="GROUP_6:func.9">1:</a> <font color="Maroon" title="c2">G</font>,<font color="Maroon" title="c3">H</font>;<br/>
<b>reconsider </b><font color="Maroon" title="c5">f</font> =  <a href="group_6.html#K9" title="GROUP_6:func.9">1:</a> <font color="Maroon" title="c2">G</font>,<font color="Maroon" title="c3">H</font> as   <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <font color="Maroon" title="c2">G</font>,<font color="Maroon" title="c3">H</font> ;<br/>
<b>take </b>
<font color="Maroon" title="c5">f</font>
;<br/>

<b>thus </b><a NAME="E2:42_1_1"/>
<font color="Maroon" title="c5">f</font> is <a href="group_6.html#V1" title="GROUP_6:attr.1">multiplicative</a>
 ;<br/>

<b>let </b><font color="Maroon" title="c6">o</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c1">O</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="group_9.html#D18" target="_self" title="GROUP_9:def.18">GROUP_9:def 18</a><br/><b>let </b><font color="Maroon" title="c7">g</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c2">G</font>;<br/>



<span class="p1">(<span class="default"><font color="Maroon" title="c3">H</font> <a href="group_9.html#K3" title="GROUP_9:func.3">^</a> <font color="Maroon" title="c6">o</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">f</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c7">g</font></span>)</span> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c3">H</font> <a href="group_9.html#K3" title="GROUP_9:func.3">^</a> <font color="Maroon" title="c6">o</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p1">(<span class="default"><a href="group_1.html#K2" title="GROUP_1:func.2">1_</a> <font color="Maroon" title="c3">H</font></span>)</span>
<b>by </b><i><a class="ref" href="group_6.html#D8" title="GROUP_6:def.8">GROUP_6:def 8</a></i>
<br/>.= 
 <a href="group_1.html#K2" title="GROUP_1:func.2">1_</a> <font color="Maroon" title="c3">H</font>
<b>by </b><i><a class="ref" href="group_6.html#T40" title="GROUP_6:th.40">GROUP_6:40</a></i>
;<br/>
<b>hence </b><a NAME="E4:42_1_1"/>
<font color="Maroon" title="c5">f</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">G</font> <a href="group_9.html#K3" title="GROUP_9:func.3">^</a> <font color="Maroon" title="c6">o</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c7">g</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">H</font> <a href="group_9.html#K3" title="GROUP_9:func.3">^</a> <font color="Maroon" title="c6">o</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">f</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c7">g</font></span>)</span>
 <b>by </b><i><a class="ref" href="group_6.html#D8" title="GROUP_6:def.8">GROUP_6:def 8</a></i>;<br/>


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