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<div><span class="kw">theorem </span><a NAME="T54"><span class="comment"><font color="firebrick">:: FIELD_8:54</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><br/>  for <font color="Olive" title="b3">a</font>, <font color="Olive" title="b4">b</font> being  <font color="Olive">b<sub>1</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="b2">E</font> holds <br/> (  <a href="field_8.html#K1" title="FIELD_8:func.1">Phi</a> (<font color="Olive" title="b3">a</font>,<font color="Olive" title="b4">b</font>) is <font color="Olive" title="b1">F</font> <a href="field_8.html#V6" title="FIELD_8:attr.6">-isomorphism</a>  iff  <a href="field_6.html#NK9" title="FIELD_6:NK.9">MinPoly</a> (<font color="Olive" title="b3">a</font>,<font color="Olive" title="b1">F</font>) <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a>  <a href="field_6.html#NK9" title="FIELD_6:NK.9">MinPoly</a> (<font color="Olive" title="b4">b</font>,<font color="Olive" title="b1">F</font>) )</div></div>
