<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T37"><span class="comment"><font color="firebrick">:: FIELD_7:37</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">E</font> being   <a href="field_4.html#NM4" title="FIELD_4:NM.4">FieldExtension</a> of <font color="Olive" title="b1">F</font> holds <br/> ( <font color="Olive" title="b2">E</font> is <font color="Olive" title="b1">F</font> <a href="field_4.html#V2" title="FIELD_4:attr.2">-finite</a>  iff  ex <font color="Olive" title="b3">T</font> being   <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>  <font color="Olive">b<sub>1</sub></font> <a href="field_7.html#V3" title="FIELD_7:attr.3">-algebraic</a>  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b2">E</font> st <font color="Olive" title="b2">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>,<font color="Olive" title="b3">T</font>) )</div></div>
