<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T32"><span class="comment"><font color="firebrick">:: FIELD_7:32</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_7.html#V2" title="FIELD_7:attr.2">-algebraic</a>  iff  for <font color="Olive" title="b3">a</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b2">E</font> holds   <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="b3">a</font></span><a href="ring_4.html#K1" title="RING_4:func.1">}</a></span>) is <font color="Olive" title="b1">F</font> <a href="field_4.html#V2" title="FIELD_4:attr.2">-finite</a>  )</div></div>
