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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E238">Th7</font></span>: <a NAME="T342"><span class="comment"><font color="firebrick">:: GROUP_1A:342</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><br/>  for <font color="Olive" title="b2">A</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">G</font><br/>  for <font color="Olive" title="b3">a</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">G</font> holds <br/> ( <font color="Olive" title="b3">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="group_1a.html#K7" title="GROUP_1A:func.7">-</a> <font color="Olive" title="b2">A</font> iff  <a href="group_1a.html#K2" title="GROUP_1A:func.2">-</a> <font color="Olive" title="b3">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">A</font> )</div></div>
