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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E46">thX3</font></span>: <a NAME="T40"><span class="comment"><font color="firebrick">:: FIELD_16:40</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">p</font> being   <a href="int_2.html#NM1" title="INT_2:NM.1">Prime</a><br/>  for <font color="Olive" title="b2">n</font> being   non  <a href="ordinal1.html#V8" title="ORDINAL1:attr.8">zero</a>  <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b3">F</font> being  <font color="Olive">b<sub>1</sub></font> <a href="ring_3.html#V3" title="RING_3:attr.3">-characteristic</a>  <a href="vectsp_1.html#NM5" title="VECTSP_1:NM.5">Field</a> holds  <span class="p1">(<span class="default"><a href="field_14.html#NK6" title="FIELD_14:NK.6">Deriv</a> <font color="Olive" title="b3">F</font></span>)</span> <a href="field_1.html#K2" title="FIELD_1:func.2">.</a> <span class="p1">(<span class="default"><a href="field_16.html#K7" title="FIELD_16:func.7">X^</a> (<span class="p2">(<span class="default"><font color="Olive" title="b1">p</font> <a href="newton.html#K1" title="NEWTON:func.1">|^</a> <font color="Olive" title="b2">n</font></span>)</span>,<font color="Olive" title="b3">F</font>)</span>)</span> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a>  <a href="vfunct_1.html#K5" title="VFUNCT_1:func.5">-</a> <span class="p1">(<span class="default"><a href="polynom3.html#K9" title="POLYNOM3:func.9">1_.</a> <font color="Olive" title="b3">F</font></span>)</span></div></div>
