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<div><span class="kw">theorem </span><a NAME="T16"><span class="comment"><font color="firebrick">:: LFUZZY_1:16</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>  holds <br/> (  <a href="fuzzy_2.html#K4" title="FUZZY_2:func.4">Zmf</a> (<font color="Olive" title="b1">X</font>,<font color="Olive" title="b1">X</font>) is  <a href="lfuzzy_1.html#V2" title="LFUZZY_1:attr.2">symmetric</a>  &amp;  <a href="fuzzy_2.html#K4" title="FUZZY_2:func.4">Zmf</a> (<font color="Olive" title="b1">X</font>,<font color="Olive" title="b1">X</font>) is  <a href="lfuzzy_1.html#V4" title="LFUZZY_1:attr.4">antisymmetric</a>  &amp;  <a href="fuzzy_2.html#K4" title="FUZZY_2:func.4">Zmf</a> (<font color="Olive" title="b1">X</font>,<font color="Olive" title="b1">X</font>) is  <a href="lfuzzy_1.html#V3" title="LFUZZY_1:attr.3">transitive</a>  )</div></div>
