<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E98">Th54</font></span>: <a NAME="T54"><span class="comment"><font color="firebrick">:: GROUP_9:54</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">O</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">G</font> being   <a href="group_9.html#NM1" title="GROUP_9:NM.1">GroupWithOperators</a> of <font color="Olive" title="b1">O</font> holds   <a href="group_9.html#K12" title="GROUP_9:func.12">nat_hom</a> <span class="p1">(<span class="default"><a href="group_9.html#K4" title="GROUP_9:func.4">(1).</a> <font color="Olive" title="b2">G</font></span>)</span> is  <a href="funct_2.html#V3" title="FUNCT_2:attr.3">bijective</a> </div></div>
