<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E65">m0</font></span>: <a NAME="T61"><span class="comment"><font color="firebrick">:: RING_5:61</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">R</font> being   <a href="vectsp_2.html#NM2" title="VECTSP_2:NM.2">domRing</a><br/>  for <font color="Olive" title="b2">S</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">R</font><br/>  for <font color="Olive" title="b3">p</font> being   <a href="ring_5.html#NM3" title="RING_5:NM.3">Ppoly</a> of <font color="Olive" title="b1">R</font>,<font color="Olive" title="b2">S</font><br/>  for <font color="Olive" title="b4">a</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">R</font>  st <font color="Olive" title="b4">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">S</font> holds <br/>(  <a href="hurwitz.html#K3" title="HURWITZ:func.3">rpoly</a> (1,<font color="Olive" title="b4">a</font>) <a href="ring_4.html#R1" title="RING_4:pred.1">divides</a> <font color="Olive" title="b3">p</font> &amp;  not <span class="p1">(<span class="default"><a href="hurwitz.html#K3" title="HURWITZ:func.3">rpoly</a> (1,<font color="Olive" title="b4">a</font>)</span>)</span> <a href="polynom5.html#K3" title="POLYNOM5:func.3">`^</a> 2 <a href="ring_4.html#R1" title="RING_4:pred.1">divides</a> <font color="Olive" title="b3">p</font> )</div></div>
