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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E73">simpmainhelp</font></span>: <a NAME="T75"><span class="comment"><font color="firebrick">:: FIELD_14:75</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">F</font> being   <a href="vectsp_1.html#NM5" title="VECTSP_1:NM.5">Field</a><br/>  for <font color="Olive" title="b2">K</font> being  <font color="Olive">b<sub>1</sub></font> <a href="field_4.html#V2" title="FIELD_4:attr.2">-finite</a>  <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">E</font> being  <font color="Olive">b<sub>1</sub></font> <a href="field_4.html#V1" title="FIELD_4:attr.1">-extending</a>  <font color="Olive">b<sub>1</sub></font> <a href="field_4.html#V2" title="FIELD_4:attr.2">-finite</a>  <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="b4">a</font> being  <font color="Olive">b<sub>2</sub></font> <a href="field_6.html#V2" title="FIELD_6:attr.2">-algebraic</a>  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b3">E</font>  st <font color="Olive" title="b3">E</font> <a href="field_7.html#R1" title="FIELD_7:pred.1">==</a>  <a href="field_6.html#K6" title="FIELD_6:func.6">FAdj</a> (<font color="Olive" title="b1">F</font>,<span class="p1"><a href="ring_4.html#K1" title="RING_4:func.1">{</a><span class="default"><font color="Olive" title="b4">a</font></span><a href="ring_4.html#K1" title="RING_4:func.1">}</a></span>) holds <br/>( <font color="Olive" title="b3">E</font> <a href="field_7.html#R1" title="FIELD_7:pred.1">==</a>  <a href="field_6.html#K6" title="FIELD_6:func.6">FAdj</a> (<font color="Olive" title="b2">K</font>,<span class="p1"><a href="ring_4.html#K1" title="RING_4:func.1">{</a><span class="default"><font color="Olive" title="b4">a</font></span><a href="ring_4.html#K1" title="RING_4:func.1">}</a></span>) &amp; <font color="Olive" title="b2">K</font> <a href="field_7.html#R1" title="FIELD_7:pred.1">==</a>  <a href="field_6.html#K6" title="FIELD_6:func.6">FAdj</a> (<font color="Olive" title="b1">F</font>,<span class="p1">(<span class="default"><a href="field_7.html#K4" title="FIELD_7:func.4">Coeff</a> <span class="p2">(<span class="default"><a href="field_6.html#NK9" title="FIELD_6:NK.9">MinPoly</a> (<font color="Olive" title="b4">a</font>,<font color="Olive" title="b2">K</font>)</span>)</span></span>)</span>) )</div></div>
