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<div>:: <span class="kw">deftheorem </span>   defines <a href="osalg_4.html#R1" title="OSALG_4:pred.1">~=</a> <a onclick="hs(this)" href="javascript:()">OSALG_4:def 4 : <br/></a><span> 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#NM1" title="ORDERS_2:NM.1">Poset</a><br/>  for <font color="Olive" title="b2">s1</font>, <font color="Olive" title="b3">s2</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">R</font> holds <br/> ( <font color="Olive" title="b2">s1</font> <a href="osalg_4.html#R1" title="OSALG_4:pred.1">~=</a> <font color="Olive" title="b3">s2</font> iff <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Olive" title="b2">s1</font>,<font color="Olive" title="b3">s2</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="osalg_4.html#K1" title="OSALG_4:func.1">Path_Rel</a> <font color="Olive" title="b1">R</font> );<br/></span></div>
