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<b>let </b><font color="Maroon" title="c1">O</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/><b>let </b><font color="Maroon" title="c2">G</font> be   <a href="group_9.html#NM2" title="GROUP_9:NM.2">GroupWithOperators</a> of <font color="Maroon" title="c1">O</font>;<br/><b>let </b><font color="Maroon" title="c3">N</font> be  <a href="group_9.html#V4" title="GROUP_9:attr.4">normal</a>  <a href="group_9.html#M1" title="GROUP_9:mode.1">StableSubgroup</a> of <font color="Maroon" title="c2">G</font>;<br/>





<a NAME="E1:130"/>
 <a href="group_9.html#K14" title="GROUP_9:func.14">Image</a> <span class="p1">(<span class="default"><a href="group_9.html#K12" title="GROUP_9:func.12">nat_hom</a> <font color="Maroon" title="c3">N</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">G</font> <a href="group_9.html#K10" title="GROUP_9:func.10">./.</a> <font color="Maroon" title="c3">N</font>
 
<b>by </b><i><a class="ref" href="group_9.html#T50" target="_self" title="GROUP_9:th.50">Th50</a></i>;<br/>
<b>hence </b><a NAME="E2:130"/>
 <a href="group_9.html#K12" title="GROUP_9:func.12">nat_hom</a> <font color="Maroon" title="c3">N</font> <a href="group_9.html#NR3" title="GROUP_9:NR.3">is_epimorphism</a> 
 <b>by </b><i><a class="ref" href="group_9.html#T51" target="_self" title="GROUP_9:th.51">Th51</a></i>;<br/>


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