<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T51"><span class="comment"><font color="firebrick">:: GROUP_6:51</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="group_1.html#V5" title="GROUP_1:attr.5">commutative</a>  <a href="group_1.html#NM1" title="GROUP_1:NM.1">Group</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="group_1.html#V5" title="GROUP_1:attr.5">commutative</a> </div></div>
