<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T63"><span class="comment"><font color="firebrick">:: RING_5:63</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> holds   <a href="polynom5.html#K7" title="POLYNOM5:func.7">Roots</a> <font color="Olive" title="b3">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">S</font></div></div>
