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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E10">div5</font></span>: <a NAME="T4"><span class="comment"><font color="firebrick">:: RING_4:4</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">p</font>, <font color="Olive" title="b3">q</font> being   <a href="polynom3.html#NM1" title="POLYNOM3:NM.1">Polynomial</a> of <font color="Olive" title="b1">F</font> holds  <font color="Olive" title="b2">p</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b2">p</font> <a href="hurwitz.html#K5" title="HURWITZ:func.5">div</a> <font color="Olive" title="b3">q</font></span>)</span> <a href="polynom3.html#K12" title="POLYNOM3:func.12">*'</a> <font color="Olive" title="b3">q</font></span>)</span> <a href="polynom3.html#K8" title="POLYNOM3:func.8">+</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">p</font> <a href="hurwitz.html#K6" title="HURWITZ:func.6">mod</a> <font color="Olive" title="b3">q</font></span>)</span></div></div>
