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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E182">Th55</font></span>: <a NAME="T256"><span class="comment"><font color="firebrick">:: GROUP_1A:256</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> holds <br/> ( <font color="Olive" title="b1">G</font> is   <a href="rlvect_1.html#V2" title="RLVECT_1:attr.2">Abelian</a>  <a href="group_1a.html#NM1" title="GROUP_1A:NM.1">addGroup</a> iff  for <font color="Olive" title="b2">A</font>, <font color="Olive" title="b3">B</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">G</font>  st <font color="Olive" title="b3">B</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  holds <br/><font color="Olive" title="b2">A</font> <a href="group_1a.html#K26" title="GROUP_1A:func.26">*</a> <font color="Olive" title="b3">B</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">A</font> )</div></div>
