<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="lfuzzy_1.html#V2" title="LFUZZY_1:attr.2">symmetric</a> <a onclick="hs(this)" href="javascript:()">LFUZZY_1:def 4 : <br/></a><span> 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="fuzzy_2.html#NM1" title="FUZZY_2:NM.1">RMembership_Func</a> of <font color="Olive" title="b1">X</font>,<font color="Olive" title="b1">X</font> holds <br/> ( <font color="Olive" title="b2">R</font> is  <a href="lfuzzy_1.html#V2" title="LFUZZY_1:attr.2">symmetric</a>  iff  <a href="fuzzy_4.html#K1" title="FUZZY_4:func.1">converse</a> <font color="Olive" title="b2">R</font> <a href="relset_1.html#R2" title="RELSET_1:pred.2">=</a> <font color="Olive" title="b2">R</font> );<br/></span></div>
