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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E31">Th53</font></span>: <a NAME="T53"><span class="comment"><font color="firebrick">:: GROUP_2:53</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">G</font> being   <a href="group_1.html#NM1" title="GROUP_1:NM.1">Group</a><br/>  for <font color="Olive" title="b2">H</font> being    <a href="group_2.html#M1" title="GROUP_2:mode.1">Subgroup</a> of <font color="Olive" title="b1">G</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/><font color="Olive" title="b2">H</font> is  <a href="group_1.html#V5" title="GROUP_1:attr.5">commutative</a> </div></div>
