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<div><span class="kw">theorem </span><a NAME="T38"><span class="comment"><font color="firebrick">:: FIELD_7:38</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="ratfunc1.html#NV1" title="RATFUNC1:NV.1">zero</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#K13" title="POLYNOM3:func.13">Polynom-Ring</a> <font color="Olive" title="b1">F</font></span>)</span> holds   <a href="field_6.html#K6" title="FIELD_6:func.6">FAdj</a> (<font color="Olive" title="b1">F</font>,<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>) is <font color="Olive" title="b1">F</font> <a href="field_7.html#V2" title="FIELD_7:attr.2">-algebraic</a>  ;<br/></div></div>
