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<div><span class="kw">theorem </span><a NAME="T76"><span class="comment"><font color="firebrick">:: FIELD_14:76</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">F</font> being   <a href="struct_0.html#NV10" title="STRUCT_0:NV.10">infinite</a>  <a href="vectsp_1.html#NM5" title="VECTSP_1:NM.5">Field</a><br/>  for <font color="Olive" title="b2">E</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> holds <br/> ( <font color="Olive" title="b2">E</font> is <font color="Olive" title="b1">F</font> <a href="field_14.html#V2" title="FIELD_14:attr.2">-simple</a>  iff  <a href="field_14.html#K2" title="FIELD_14:func.2">IntermediateFields</a> (<font color="Olive" title="b2">E</font>,<font color="Olive" title="b1">F</font>) is  <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>  )</div></div>
