<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="realalg2.html#V6" title="REALALG2:attr.6">-positive</a> <a onclick="hs(this)" href="javascript:()">REALALG2:def 8 : <br/></a><span> for <font color="Olive" title="b1">R</font> being   <a href="realalg1.html#V13" title="REALALG1:attr.13">preordered</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><br/>  for <font color="Olive" title="b3">a</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="b3">a</font> is <font color="Olive" title="b2">P</font> <a href="realalg2.html#V6" title="REALALG2:attr.6">-positive</a>  iff <font color="Olive" title="b3">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">P</font> <a href="subset_1.html#K7" title="SUBSET_1:func.7">\</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><span class="p2">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Olive" title="b1">R</font></span>)</span></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span> );<br/></span></div>
