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<div><span class="kw">theorem </span><a NAME="T57"><span class="comment"><font color="firebrick">:: FIELD_6:57</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="polynom3.html#K13" title="POLYNOM3:func.13">Polynom-Ring</a> <font color="Olive">b<sub>1</sub></font> <a href="ring_2.html#V3" title="RING_2:attr.3">-homomorphic</a>  <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">a</font> being   non  <a href="struct_0.html#V9" title="STRUCT_0:attr.9">zero</a>  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b2">E</font> holds <br/> ( <font color="Olive" title="b3">a</font> is <font color="Olive" title="b1">F</font> <a href="field_6.html#V2" title="FIELD_6:attr.2">-algebraic</a>  iff <font color="Olive" title="b3">a</font> <a href="algstr_0.html#K9" title="ALGSTR_0:func.9">"</a>  <a href="struct_0.html#R1" title="STRUCT_0:pred.1">in</a>  <a href="field_6.html#K3" title="FIELD_6:func.3">RAdj</a> (<font color="Olive" title="b1">F</font>,<span class="p1"><a href="ring_4.html#K1" title="RING_4:func.1">{</a><span class="default"><font color="Olive" title="b3">a</font></span><a href="ring_4.html#K1" title="RING_4:func.1">}</a></span>) )</div></div>
