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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E6">simp2</font></span>: <a NAME="T5"><span class="comment"><font color="firebrick">:: FIELD_14:5</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">K</font> being  <font color="Olive">b<sub>1</sub></font> <a href="field_4.html#V1" title="FIELD_4:attr.1">-extending</a>  <a href="field_4.html#NM4" title="FIELD_4:NM.4">FieldExtension</a> of <font color="Olive" title="b1">F</font> holds   <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>) <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="field_14.html#K2" title="FIELD_14:func.2">IntermediateFields</a> (<font color="Olive" title="b3">K</font>,<font color="Olive" title="b1">F</font>)</div></div>
