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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E32">Th56</font></span>: <a NAME="T56"><span class="comment"><font color="firebrick">:: GROUP_11:56</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">N</font>, <font color="Olive" title="b3">H1</font>, <font color="Olive" title="b4">H2</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="b3">H1</font> is    <a href="group_2.html#M1" title="GROUP_2:mode.1">Subgroup</a> of <font color="Olive" title="b4">H2</font> holds <br/><font color="Olive" title="b2">N</font> <a href="group_11.html#K4" title="GROUP_11:func.4">~</a> <font color="Olive" title="b3">H1</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b2">N</font> <a href="group_11.html#K4" title="GROUP_11:func.4">~</a> <font color="Olive" title="b4">H2</font></div></div>
