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<div><span class="kw">theorem </span><a NAME="T293"><span class="comment"><font color="firebrick">:: GROUP_1A:293</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">x</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">G</font> being   <a href="group_1a.html#NM1" title="GROUP_1A:NM.1">addGroup</a><br/>  for <font color="Olive" title="b3">A</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b2">G</font> holds <br/> ( <font color="Olive" title="b1">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="group_1a.html#K31" title="GROUP_1A:func.31">con_class</a> <font color="Olive" title="b3">A</font> iff  ex <font color="Olive" title="b4">B</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b2">G</font> st <br/>( <font color="Olive" title="b1">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">B</font> &amp; <font color="Olive" title="b3">A</font>,<font color="Olive" title="b4">B</font> <a href="group_1a.html#R5" title="GROUP_1A:pred.5">are_conjugated</a>  ) ) ;<br/></div></div>
