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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E8">Th9</font></span>: <a NAME="T9"><span class="comment"><font color="firebrick">:: TAXONOM1:9</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">R</font> being   <a href="relset_1.html#NM2" title="RELSET_1:NM.2">Relation</a> of <font color="Olive" title="b1">X</font>  st <font color="Olive" title="b2">R</font> <a href="relat_2.html#R1" title="RELAT_2:pred.1">is_reflexive_in</a> <font color="Olive" title="b1">X</font> &amp; <font color="Olive" title="b2">R</font> <a href="relat_2.html#R3" title="RELAT_2:pred.3">is_symmetric_in</a> <font color="Olive" title="b1">X</font> holds <br/><font color="Olive" title="b2">R</font> <a href="lang1.html#K13" title="LANG1:func.13">[*]</a>  is   <a href="eqrel_1.html#NM2" title="EQREL_1:NM.2">Equivalence_Relation</a> of <font color="Olive" title="b1">X</font></div></div>
