<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E34">XYZbS3a</font></span>: <a NAME="T32"><span class="comment"><font color="firebrick">:: REALALG3:32</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><br/>  for <font color="Olive" title="b4">f</font> being  <font color="Olive">b<sub>3</sub></font> <a href="realalg3.html#V2" title="REALALG3:attr.2">-quadratic</a>  <a href="struct_0.html#NM7" title="STRUCT_0:NM.7">FinSequence</a> of <font color="Olive" title="b2">E</font><br/>  for <font color="Olive" title="b5">g1</font>, <font color="Olive" title="b6">g2</font> being   <a href="struct_0.html#NM7" title="STRUCT_0:NM.7">FinSequence</a> of <font color="Olive" title="b2">E</font>  st <font color="Olive" title="b4">f</font> <a href="relset_1.html#R2" title="RELSET_1:pred.2">=</a> <font color="Olive" title="b5">g1</font> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <font color="Olive" title="b6">g2</font> holds <br/>( <font color="Olive" title="b5">g1</font> is <font color="Olive" title="b3">P</font> <a href="realalg3.html#V2" title="REALALG3:attr.2">-quadratic</a>  &amp; <font color="Olive" title="b6">g2</font> is <font color="Olive" title="b3">P</font> <a href="realalg3.html#V2" title="REALALG3:attr.2">-quadratic</a>  )</div></div>
