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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E39">lemacf1</font></span>: <a NAME="T38"><span class="comment"><font color="firebrick">:: RING_5:38</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>   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> holds   <a href="uproots.html#K7" title="UPROOTS:func.7">BRoots</a> <font color="Olive" title="b2">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="pre_poly.html#K16" title="PRE_POLY:func.16">EmptyBag</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">R</font></div></div>
