<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T38"><span class="comment"><font color="firebrick">:: FIELD_16:38</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">R</font> being   <a href="group_1.html#V5" title="GROUP_1:attr.5">commutative</a>  <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#NM3" title="VECTSP_1:NM.3">Ring</a><br/>  for <font color="Olive" title="b3">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> holds  <span class="p1"> { <span class="default"> <span class="p2">(<span class="default"><font color="Olive" title="b4">m</font> <a href="binom.html#K5" title="BINOM:func.5">*</a> <span class="p3">(<span class="default"><a href="struct_0.html#K5" title="STRUCT_0:func.5">1.</a> <font color="Olive" title="b2">R</font></span>)</span></span>)</span> where <font color="Olive" title="b4">m</font> is   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> : <font color="Olive" title="b4">m</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b1">p</font> </span> } </span>  <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="polynom5.html#K7" title="POLYNOM5:func.7">Roots</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="b3">n</font></span>)</span>,<font color="Olive" title="b2">R</font>)</span>)</span></div></div>
