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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E67">acf</font></span>: <a NAME="T64"><span class="comment"><font color="firebrick">:: RING_5:64</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#NV1" title="RATFUNC1:NV.1">zero</a>   <a href="polynom5.html#V1" title="POLYNOM5:attr.1">with_roots</a>  <a href="polynom3.html#NM1" title="POLYNOM3:NM.1">Polynomial</a> of <font color="Olive" title="b1">R</font>  ex <font color="Olive" title="b3">q</font> being    <a href="ring_5.html#M2" title="RING_5:mode.2">Ppoly</a> of <font color="Olive" title="b1">R</font>, <a href="uproots.html#K7" title="UPROOTS:func.7">BRoots</a> <font color="Olive" title="b2">p</font> ex <font color="Olive" title="b4">r</font> being   non  <a href="polynom5.html#V1" title="POLYNOM5:attr.1">with_roots</a>  <a href="polynom3.html#NM1" title="POLYNOM3:NM.1">Polynomial</a> of <font color="Olive" title="b1">R</font> st <br/>( <font color="Olive" title="b2">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">q</font> <a href="polynom3.html#K12" title="POLYNOM3:func.12">*'</a> <font color="Olive" title="b4">r</font> &amp;  <a href="polynom5.html#K7" title="POLYNOM5:func.7">Roots</a> <font color="Olive" title="b3">q</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="polynom5.html#K7" title="POLYNOM5:func.7">Roots</a> <font color="Olive" title="b2">p</font> )</div></div>
