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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E40">lemoe2</font></span>: <a NAME="T36"><span class="comment"><font color="firebrick">:: REALALG3:36</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/> (  <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>  iff  not  <a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <span class="p1">(<span class="default"><a href="struct_0.html#K5" title="STRUCT_0:func.5">1.</a> <font color="Olive" title="b2">E</font></span>)</span> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <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>) )</div></div>
