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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E18">divi1ad</font></span>: <a NAME="T17"><span class="comment"><font color="firebrick">:: RING_5:17</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b2">R</font> being   <a href="vectsp_2.html#NM2" title="VECTSP_2:NM.2">domRing</a><br/>  for <font color="Olive" title="b3">p</font> being   non  <a href="ratfunc1.html#NV1" title="RATFUNC1:NV.1">zero</a>  <a href="polynom3.html#NM1" title="POLYNOM3:NM.1">Polynomial</a> of <font color="Olive" title="b2">R</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="b2">R</font><br/>  for <font color="Olive" title="b5">b</font> being   non  <a href="struct_0.html#V9" title="STRUCT_0:attr.9">zero</a>  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b2">R</font> holds <br/> ( <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="polynom5.html#K3" title="POLYNOM5:func.3">`^</a> <font color="Olive" title="b1">n</font> <a href="ring_4.html#R1" title="RING_4:pred.1">divides</a> <font color="Olive" title="b3">p</font> iff <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="polynom5.html#K3" title="POLYNOM5:func.3">`^</a> <font color="Olive" title="b1">n</font> <a href="ring_4.html#R1" title="RING_4:pred.1">divides</a> <font color="Olive" title="b5">b</font> <a href="polynom5.html#K4" title="POLYNOM5:func.4">*</a> <font color="Olive" title="b3">p</font> )</div></div>
