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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E27">T3</font></span>: <a NAME="T29"><span class="comment"><font color="firebrick">:: REALALG2:29</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">F</font> being   <a href="realalg1.html#V13" title="REALALG1:attr.13">preordered</a>  <a href="vectsp_1.html#NM5" title="VECTSP_1:NM.5">Field</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">F</font>  ex <font color="Olive" title="b3">Q</font> being   <a href="realalg1.html#NM1" title="REALALG1:NM.1">Preordering</a> of <font color="Olive" title="b1">F</font> st <br/>( <font color="Olive" title="b2">P</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b3">Q</font> &amp; <font color="Olive" title="b3">Q</font> is  <a href="realalg2.html#V1" title="REALALG2:attr.1">maximal</a>  )</div></div>
