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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E41">lemoe4</font></span>: <a NAME="T37"><span class="comment"><font color="firebrick">:: REALALG3:37</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">F</font> being   <a href="realalg1.html#V14" title="REALALG1:attr.14">ordered</a>  <a href="vectsp_1.html#NM5" title="VECTSP_1:NM.5">Field</a><br/>  for <font color="Olive" title="b2">E</font> being   <a href="field_4.html#NM4" title="FIELD_4:NM.4">FieldExtension</a> of <font color="Olive" title="b1">F</font><br/>  for <font color="Olive" title="b3">P</font> being   <a href="realalg1.html#NM2" title="REALALG1:NM.2">Ordering</a> of <font color="Olive" title="b1">F</font> holds <br/> ( <font color="Olive" title="b3">P</font> <a href="realalg3.html#R1" title="REALALG3:pred.1">extends_to</a> <font color="Olive" title="b2">E</font> iff  <a href="realalg3.html#NK10" title="REALALG3:NK.10">QS</a> (<font color="Olive" title="b2">E</font>,<font color="Olive" title="b3">P</font>) is  <a href="realalg1.html#V11" title="REALALG1:attr.11">prepositive_cone</a>  )</div></div>
