<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E26">lemMA</font></span>: <a NAME="T19"><span class="comment"><font color="firebrick">:: FIELD_16:19</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">p</font> being   non  <a href="ring_4.html#V3" title="RING_4:attr.3">constant</a>   <a href="ring_4.html#M1" title="RING_4:mode.1">Element</a> of  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="polynom3.html#K12" title="POLYNOM3:func.12">Polynom-Ring</a> <font color="Olive" title="b1">F</font></span>)</span> holds <br/> (  <a href="card_1.html#K4" title="CARD_1:func.4">card</a> <span class="p1">(<span class="default"><a href="field_4.html#K1" title="FIELD_4:func.1">Roots</a> (<font color="Olive" title="b2">E</font>,<font color="Olive" title="b3">p</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="field_1.html#K1" title="FIELD_1:func.1">deg</a> <font color="Olive" title="b3">p</font> iff ( <font color="Olive" title="b3">p</font> <a href="field_4.html#R3" title="FIELD_4:pred.3">splits_in</a> <font color="Olive" title="b2">E</font> &amp; <font color="Olive" title="b3">p</font> is  <a href="field_15.html#V1" title="FIELD_15:attr.1">separable</a>  ) )</div></div>
