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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E15">Th18</font></span>: <a NAME="T18"><span class="comment"><font color="firebrick">:: GROUP_11:18</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">A</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <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">N</font> being    <a href="group_2.html#M1" title="GROUP_2:mode.1">Subgroup</a> of <font color="Olive" title="b1">G</font> holds  <font color="Olive" title="b3">N</font> <a href="group_11.html#K1" title="GROUP_11:func.1">`</a> <font color="Olive" title="b2">A</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b3">N</font> <a href="group_11.html#K2" title="GROUP_11:func.2">~</a> <font color="Olive" title="b2">A</font></div></div>
