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<div><span class="kw">theorem </span><a NAME="T12"><span class="comment"><font color="firebrick">:: RING_5:12</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">F</font> being   <a href="vectsp_2.html#NM2" title="VECTSP_2:NM.2">domRing</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><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">F</font>  holds <br/>(  not  <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="b2">p</font> <a href="polynom3.html#K12" title="POLYNOM3:func.12">*'</a> <font color="Olive" title="b3">q</font> or  <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="b2">p</font> or  <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">q</font> )</div></div>
