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<div>:: <span class="kw">deftheorem </span>   defines <a href="realalg2.html#K1" title="REALALG2:func.1">/\</a> <a onclick="hs(this)" href="javascript:()">REALALG2:def 2 : <br/></a><span> for <font color="Olive" title="b1">R</font> being   <a href="realalg1.html#V14" title="REALALG1:attr.14">ordered</a>  <a href="vectsp_1.html#NM3" title="VECTSP_1:NM.3">Ring</a><br/>  for <font color="Olive" title="b2">P</font> being   <a href="realalg1.html#NM1" title="REALALG1:NM.1">Preordering</a> of <font color="Olive" title="b1">R</font> holds   <a href="realalg2.html#K1" title="REALALG2:func.1">/\</a> (<font color="Olive" title="b2">P</font>,<font color="Olive" title="b1">R</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"> { <span class="default"> <font color="Olive" title="b3">x</font> where <font color="Olive" title="b3">x</font> is   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">R</font> :  for <font color="Olive" title="b4">O</font> being   <a href="realalg1.html#NM2" title="REALALG1:NM.2">Ordering</a> of <font color="Olive" title="b1">R</font>  st <font color="Olive" title="b2">P</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b4">O</font> holds <br/><font color="Olive" title="b3">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b4">O</font> </span> } </span> ;<br/></span></div>
