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<div><span class="kw">theorem </span><a NAME="T66"><span class="comment"><font color="firebrick">:: RING_5:66</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">p</font> being   non  <a href="ratfunc1.html#V1" title="RATFUNC1:attr.1">constant</a>  <a href="polynom3.html#NM1" title="POLYNOM3:NM.1">Polynomial</a> of <font color="Olive" title="b1">R</font> holds <br/> (  <a href="ring_5.html#NK1" title="RING_5:NK.1">card</a> <span class="p1">(<span class="default"><a href="uproots.html#K7" title="UPROOTS:func.7">BRoots</a> <font color="Olive" title="b2">p</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="hurwitz.html#NK3" title="HURWITZ:NK.3">deg</a> <font color="Olive" title="b2">p</font> iff  ex <font color="Olive" title="b3">a</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">R</font> ex <font color="Olive" title="b4">q</font> being    <a href="ring_5.html#M1" title="RING_5:mode.1">Ppoly</a> of <font color="Olive" title="b1">R</font> st <font color="Olive" title="b2">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">a</font> <a href="polynom5.html#K4" title="POLYNOM5:func.4">*</a> <font color="Olive" title="b4">q</font> )</div></div>
