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<div><span class="kw">theorem </span><a NAME="T96"><span class="comment"><font color="firebrick">:: GROUP_23:96</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">Fam</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="group_3.html#K1" title="GROUP_3:func.1">Subgroups</a> <font color="Olive" title="b1">G</font></span>)</span> holds <br/> ( <font color="Olive" title="b1">G</font> <a href="group_23.html#R2" title="GROUP_23:pred.2">is_internal_product_of</a> <font color="Olive" title="b2">Fam</font> iff  <a href="group_2.html#K7" title="GROUP_2:func.7">(Omega).</a> <font color="Olive" title="b1">G</font> <a href="group_23.html#R3" title="GROUP_23:pred.3">is_internal_product_of</a> <font color="Olive" title="b2">Fam</font> )</div></div>
