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<div><span class="kw">theorem </span><a NAME="T10"><span class="comment"><font color="firebrick">:: GLIBPRE1:10</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">R</font> being   <a href="relset_1.html#NM2" title="RELSET_1:NM.2">Relation</a> of <font color="Olive" title="b1">X</font> holds <br/> ( <font color="Olive" title="b2">R</font> is  <a href="relat_2.html#V4" title="RELAT_2:attr.4">antisymmetric</a>  iff <font color="Olive" title="b2">R</font> <a href="subset_1.html#K7" title="SUBSET_1:func.7">\</a> <span class="p1">(<span class="default"><a href="partfun1.html#K6" title="PARTFUN1:func.6">id</a> <font color="Olive" title="b1">X</font></span>)</span> is  <a href="relat_2.html#V5" title="RELAT_2:attr.5">asymmetric</a>  )</div></div>
