<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E48">main</font></span>: <a NAME="T50"><span class="comment"><font color="firebrick">:: REALALG3:50</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">P</font> being   <a href="realalg1.html#NM2" title="REALALG1:NM.2">Ordering</a> of <font color="Olive" title="b1">F</font><br/>  for <font color="Olive" title="b3">E</font> being   <a href="field_4.html#NM4" title="FIELD_4:NM.4">FieldExtension</a> of <font color="Olive" title="b1">F</font>  st  <a href="field_4.html#K3" title="FIELD_4:func.3">deg</a> (<font color="Olive" title="b3">E</font>,<font color="Olive" title="b1">F</font>) is   <a href="abian.html#NV2" title="ABIAN:NV.2">odd</a>  <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds <br/><font color="Olive" title="b2">P</font> <a href="realalg3.html#R1" title="REALALG3:pred.1">extends_to</a> <font color="Olive" title="b3">E</font></div></div>
