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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E53">r59Bag</font></span>: <a NAME="T51"><span class="comment"><font color="firebrick">:: FIELD_14:51</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">F</font> being   <a href="vectsp_1.html#NM5" title="VECTSP_1:NM.5">Field</a><br/>  for <font color="Olive" title="b2">p</font> being    <a href="ring_5.html#M1" title="RING_5:mode.1">Ppoly</a> of <font color="Olive" title="b1">F</font><br/>  for <font color="Olive" title="b3">q</font> being   <a href="ring_4.html#NV4" title="RING_4:NV.4">monic</a>  <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/> ( <font color="Olive" title="b3">q</font> <a href="ring_4.html#R1" title="RING_4:pred.1">divides</a> <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="polynom3.html#K11" title="POLYNOM3:func.11">*'</a> <font color="Olive" title="b2">p</font> iff ( <font color="Olive" title="b3">q</font> <a href="ring_4.html#R1" title="RING_4:pred.1">divides</a> <font color="Olive" title="b2">p</font> or  ex <font color="Olive" title="b5">r</font> being   <a href="polynom3.html#NM1" title="POLYNOM3:NM.1">Polynomial</a> of <font color="Olive" title="b1">F</font> st <br/>( <font color="Olive" title="b5">r</font> <a href="ring_4.html#R1" title="RING_4:pred.1">divides</a> <font color="Olive" title="b2">p</font> &amp; <font color="Olive" title="b3">q</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <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="polynom3.html#K11" title="POLYNOM3:func.11">*'</a> <font color="Olive" title="b5">r</font> ) ) )</div></div>
