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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E66">Th61</font></span>: <a NAME="T64"><span class="comment"><font color="firebrick">:: UPROOTS:64</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">L</font> being   <a href="vectsp_2.html#NM1" title="VECTSP_2:NM.1">comRing</a><br/>  for <font color="Olive" title="b2">b1</font>, <font color="Olive" title="b3">b2</font> being   <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">L</font> holds   <a href="uproots.html#K9" title="UPROOTS:func.9">poly_with_roots</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">b1</font> <a href="pre_poly.html#K11" title="PRE_POLY:func.11">+</a> <font color="Olive" title="b3">b2</font></span>)</span> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <span class="p1">(<span class="default"><a href="uproots.html#K9" title="UPROOTS:func.9">poly_with_roots</a> <font color="Olive" title="b2">b1</font></span>)</span> <a href="polynom3.html#K12" title="POLYNOM3:func.12">*'</a> <span class="p1">(<span class="default"><a href="uproots.html#K9" title="UPROOTS:func.9">poly_with_roots</a> <font color="Olive" title="b3">b2</font></span>)</span></div></div>
