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<div><span class="kw">theorem </span><a NAME="T84"><span class="comment"><font color="firebrick">:: GROUP_2:84</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">H1</font>, <font color="Olive" title="b3">H2</font>, <font color="Olive" title="b4">H3</font> being    <a href="group_2.html#M1" title="GROUP_2:mode.1">Subgroup</a> of <font color="Olive" title="b1">G</font> holds  <span class="p1">(<span class="default"><font color="Olive" title="b2">H1</font> <a href="group_2.html#K10" title="GROUP_2:func.10">/\</a> <font color="Olive" title="b3">H2</font></span>)</span> <a href="group_2.html#K10" title="GROUP_2:func.10">/\</a> <font color="Olive" title="b4">H3</font> <a href="group_2.html#R1" title="GROUP_2:pred.1">=</a> <font color="Olive" title="b2">H1</font> <a href="group_2.html#K10" title="GROUP_2:func.10">/\</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">H2</font> <a href="group_2.html#K10" title="GROUP_2:func.10">/\</a> <font color="Olive" title="b4">H3</font></span>)</span></div></div>
