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<div><span class="kw">theorem </span><a NAME="T84"><span class="comment"><font color="firebrick">:: REALALG2:84</font></span><br/></a><div class="add"> 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> holds  <span class="p1">(<span class="default"><a href="realalg1.html#K1" title="REALALG1:func.1">-</a> <font color="Olive" title="b2">P</font></span>)</span> <a href="ideal_1.html#K13" title="IDEAL_1:func.13">/\</a> <span class="p1">(<span class="default"><a href="realalg1.html#NK4" title="REALALG1:NK.4">SQ</a> <font color="Olive" title="b1">R</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</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></div></div>
