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<b>let </b><font color="Maroon" title="c1">G</font>, <font color="Maroon" title="c2">H</font> be   <a href="group_1.html#NM1" title="GROUP_1:NM.1">Group</a>;<br/><b>let </b><font color="Maroon" title="c3">a1</font>, <font color="Maroon" title="c4">a2</font>, <font color="Maroon" title="c5">a3</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">G</font>;<br/><b>let </b><font color="Maroon" title="c6">g</font> be   <a href="group_6.html#NM2" title="GROUP_6:NM.2">Homomorphism</a> of <font color="Maroon" title="c1">G</font>,<font color="Maroon" title="c2">H</font>;<br/>











<b>thus </b><font color="Maroon" title="c6">g</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p1"><a href="group_5.html#K3" title="GROUP_5:func.3">[.</a><span class="default"><font color="Maroon" title="c3">a1</font>,<font color="Maroon" title="c4">a2</font>,<font color="Maroon" title="c5">a3</font></span><a href="group_5.html#K3" title="GROUP_5:func.3">.]</a></span> = 
<font color="Maroon" title="c6">g</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p1"><a href="group_5.html#K2" title="GROUP_5:func.2">[.</a><span class="default"><span class="p2"><a href="group_5.html#K2" title="GROUP_5:func.2">[.</a><span class="default"><font color="Maroon" title="c3">a1</font>,<font color="Maroon" title="c4">a2</font></span><a href="group_5.html#K2" title="GROUP_5:func.2">.]</a></span>,<font color="Maroon" title="c5">a3</font></span><a href="group_5.html#K2" title="GROUP_5:func.2">.]</a></span>
<b>by </b><i><a class="ref" href="group_5.html#D3" title="GROUP_5:def.3">GROUP_5:def 3</a></i>
<br/>.= 
<span class="p1"><a href="group_5.html#K2" title="GROUP_5:func.2">[.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c6">g</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p3"><a href="group_5.html#K2" title="GROUP_5:func.2">[.</a><span class="default"><font color="Maroon" title="c3">a1</font>,<font color="Maroon" title="c4">a2</font></span><a href="group_5.html#K2" title="GROUP_5:func.2">.]</a></span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">g</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c5">a3</font></span>)</span></span><a href="group_5.html#K2" title="GROUP_5:func.2">.]</a></span>
<b>by </b><i><a class="ref" href="group_6.html#T43" target="_self" title="GROUP_6:th.43">Th43</a></i>
<br/>.= 
<span class="p1"><a href="group_5.html#K2" title="GROUP_5:func.2">[.</a><span class="default"><span class="p2"><a href="group_5.html#K2" title="GROUP_5:func.2">[.</a><span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c6">g</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c3">a1</font></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon" title="c6">g</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c4">a2</font></span>)</span></span><a href="group_5.html#K2" title="GROUP_5:func.2">.]</a></span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">g</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c5">a3</font></span>)</span></span><a href="group_5.html#K2" title="GROUP_5:func.2">.]</a></span>
<b>by </b><i><a class="ref" href="group_6.html#T43" target="_self" title="GROUP_6:th.43">Th43</a></i>
<br/>.= 
<span class="p1"><a href="group_5.html#K3" title="GROUP_5:func.3">[.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c6">g</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c3">a1</font></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">g</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c4">a2</font></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">g</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c5">a3</font></span>)</span></span><a href="group_5.html#K3" title="GROUP_5:func.3">.]</a></span>
<b>by </b><i><a class="ref" href="group_5.html#D3" title="GROUP_5:def.3">GROUP_5:def 3</a></i>
;<br/>


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