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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E41">Th50</font></span>: <a NAME="T50"><span class="comment"><font color="firebrick">:: GROUP_6:50</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">G</font>, <font color="Olive" title="b2">H</font> being   <a href="group_1.html#NM1" title="GROUP_1:NM.1">Group</a><br/>  for <font color="Olive" title="b3">g</font> being   <a href="group_6.html#NM2" title="GROUP_6:NM.2">Homomorphism</a> of <font color="Olive" title="b1">G</font>,<font color="Olive" title="b2">H</font>  st <font color="Olive" title="b1">G</font> is  <a href="struct_0.html#V8" title="STRUCT_0:attr.8">finite</a>  holds <br/> <a href="group_6.html#K10" title="GROUP_6:func.10">Image</a> <font color="Olive" title="b3">g</font> is  <a href="struct_0.html#V8" title="STRUCT_0:attr.8">finite</a> </div></div>
