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<div><span class="kw">theorem </span><a NAME="T21"><span class="comment"><font color="firebrick">:: REALALG2:21</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">P</font> being   <a href="realalg1.html#NM1" title="REALALG1:NM.1">Preordering</a> of <a href="gaussint.html#K11" title="GAUSSINT:func.11">F_Rat</a> holds  <font color="Olive" title="b1">P</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="realalg1.html#K7" title="REALALG1:func.7">Positives(F_Rat)</a>  <span class="kw">by</span> <span class="lab"><a class="ref" href="realalg1.html#T38" onmouseover="rs('realalg1/T38')" onmouseout="rh()">REALALG1:38</a></span>;<br/></div></div>
