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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E7">Th15</font></span>: <a NAME="T15"><span class="comment"><font color="firebrick">:: GROUP_3:15</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>  st <font color="Olive" title="b1">G</font> is  <a href="struct_0.html#V8" title="STRUCT_0:attr.8">finite</a>  holds <br/> <a href="group_3.html#K1" title="GROUP_3:func.1">Subgroups</a> <font color="Olive" title="b1">G</font> is  <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a> </div></div>
