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<div><span class="kw">theorem </span><a NAME="T7"><span class="comment"><font color="firebrick">:: DILWORTH:7</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">R</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</a> <br/>  for <font color="Olive" title="b2">a1</font>, <font color="Olive" title="b3">a2</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">R</font>  st <font color="Olive" title="b2">a1</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b3">a2</font> &amp; <span class="p1"><a href="domain_1.html#K7" title="DOMAIN_1:func.7">{</a><span class="default"><font color="Olive" title="b2">a1</font>,<font color="Olive" title="b3">a2</font></span><a href="domain_1.html#K7" title="DOMAIN_1:func.7">}</a></span> is   <a href="dilworth.html#NM1" title="DILWORTH:NM.1">Clique</a> of <font color="Olive" title="b1">R</font> &amp;  not <font color="Olive" title="b2">a1</font> <a href="orders_2.html#R1" title="ORDERS_2:pred.1">&lt;=</a> <font color="Olive" title="b3">a2</font> holds <br/><font color="Olive" title="b3">a2</font> <a href="orders_2.html#R1" title="ORDERS_2:pred.1">&lt;=</a> <font color="Olive" title="b2">a1</font></div></div>
