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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E12">Th10</font></span>: <a NAME="T10"><span class="comment"><font color="firebrick">:: GROUP_22:10</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="b2">H</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">G</font> )</div></div>
