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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E154">Th15</font></span>: <a NAME="T216"><span class="comment"><font color="firebrick">:: GROUP_1A:216</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">G</font> being   <a href="group_1a.html#NM1" title="GROUP_1A:NM.1">addGroup</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_1a.html#K24" title="GROUP_1A:func.24">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>
