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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E3">lemanti</font></span>: <a NAME="T2"><span class="comment"><font color="firebrick">:: REALALG1:2</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="relat_2.html#V4" title="RELAT_2:attr.4">antisymmetric</a>  <a href="relset_1.html#NM2" title="RELSET_1:NM.2">Relation</a> of <font color="Olive" title="b1">X</font><br/>  for <font color="Olive" title="b3">x</font>, <font color="Olive" title="b4">y</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">X</font>  st <font color="Olive" title="b3">x</font> <a href="arrow.html#R1" title="ARROW:pred.1">&lt;=_</a> <font color="Olive" title="b2">R</font>,<font color="Olive" title="b4">y</font> &amp; <font color="Olive" title="b4">y</font> <a href="arrow.html#R1" title="ARROW:pred.1">&lt;=_</a> <font color="Olive" title="b2">R</font>,<font color="Olive" title="b3">x</font> holds <br/><font color="Olive" title="b3">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">y</font></div></div>
