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<div>:: <span class="kw">deftheorem </span>   defines <a href="orders_2.html#V5" title="ORDERS_2:attr.5">antisymmetric</a> <a onclick="hs(this)" href="javascript:()">YELLOW_0:def 3 : <br/></a><span> for <font color="Olive" title="b1">A</font> being    <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</a>  holds <br/> ( <font color="Olive" title="b1">A</font> is  <a href="orders_2.html#V5" title="ORDERS_2:attr.5">antisymmetric</a>  iff  for <font color="Olive" title="b2">x</font>, <font color="Olive" title="b3">y</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">A</font>  st <font color="Olive" title="b2">x</font> <a href="orders_2.html#R1" title="ORDERS_2:pred.1">&lt;=</a> <font color="Olive" title="b3">y</font> &amp; <font color="Olive" title="b3">y</font> <a href="orders_2.html#R1" title="ORDERS_2:pred.1">&lt;=</a> <font color="Olive" title="b2">x</font> holds <br/><font color="Olive" title="b2">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">y</font> );<br/></span></div>
