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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E57">dpp</font></span>   defines <a href="ring_5.html#M2" title="RING_5:mode.2">Ppoly</a> <a onclick="hs(this)" href="javascript:()">RING_5:def 5 : <br/></a><span> 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">B</font> being   non  <a href="termord.html#V1" title="TERMORD:attr.1">zero</a>  <a href="pre_poly.html#NM2" title="PRE_POLY:NM.2">bag</a> of  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">R</font><br/>  for <font color="Olive">b<sub>3</sub></font> being    <a href="ring_5.html#M1" title="RING_5:mode.1">Ppoly</a> of <font color="Olive" title="b1">R</font> holds <br/> ( <font color="Olive">b<sub>3</sub></font> is    <a href="ring_5.html#M2" title="RING_5:mode.2">Ppoly</a> of <font color="Olive" title="b1">R</font>,<font color="Olive" title="b2">B</font> iff (  <a href="hurwitz.html#NK3" title="HURWITZ:NK.3">deg</a> <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ring_5.html#NK1" title="RING_5:NK.1">card</a> <font color="Olive" title="b2">B</font> &amp; (  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> holds   <a href="uproots.html#K6" title="UPROOTS:func.6">multiplicity</a> (<font color="Olive">b<sub>3</sub></font>,<font color="Olive" title="b4">a</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">B</font> <a href="recdef_1.html#K1" title="RECDEF_1:func.1">.</a> <font color="Olive" title="b4">a</font> ) ) );<br/></span></div>
