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<div><span class="kw">theorem </span><a NAME="T15"><span class="comment"><font color="firebrick">:: FIELD_5:15</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>2</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 <br/>( <font color="Olive" title="b3">K</font> is <font color="Olive" title="b1">F</font> <a href="field_5.html#NV1" title="FIELD_5:NV.1">-infinite</a>  or ( <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>  &amp;  <a href="field_4.html#K3" title="FIELD_4:func.3">deg</a> (<font color="Olive" title="b2">E</font>,<font color="Olive" title="b1">F</font>) <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="field_4.html#K3" title="FIELD_4:func.3">deg</a> (<font color="Olive" title="b3">K</font>,<font color="Olive" title="b1">F</font>) ) )</div></div>
