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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E13">Th11</font></span>: <a NAME="T11"><span class="comment"><font color="firebrick">:: GROUP_22:11</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> holds <br/> ( <font color="Olive" title="b2">H</font> is  <a href="group_22.html#V1" title="GROUP_22:attr.1">proper</a>  iff  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">G</font> <a href="subset_1.html#K6" title="SUBSET_1:func.6">\</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b2">H</font> is   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  )</div></div>
