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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E41">Th50</font></span>: <a NAME="T50"><span class="comment"><font color="firebrick">:: NIVEN:50</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">p</font> being   <a href="numbers.html#K4" title="NUMBERS:func.4">INT</a>  <a href="relat_1.html#V5" title="RELAT_1:attr.5">-valued</a>  <a href="polynom3.html#NM1" title="POLYNOM3:NM.1">Polynomial</a> of <a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a><br/>  for <font color="Olive" title="b2">e</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a>  st <font color="Olive" title="b2">e</font> <a href="polynom5.html#R1" title="POLYNOM5:pred.1">is_a_root_of</a> <font color="Olive" title="b1">p</font> holds <br/> for <font color="Olive" title="b3">k</font>, <font color="Olive" title="b4">l</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a>  st <font color="Olive" title="b4">l</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  &amp; <font color="Olive" title="b2">e</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">k</font> <a href="xcmplx_0.html#K7" title="XCMPLX_0:func.7">/</a> <font color="Olive" title="b4">l</font> &amp; <font color="Olive" title="b3">k</font>,<font color="Olive" title="b4">l</font> <a href="int_2.html#R1" title="INT_2:pred.1">are_coprime</a>  holds <br/>( <font color="Olive" title="b3">k</font> <a href="int_1.html#R1" title="INT_1:pred.1">divides</a> <font color="Olive" title="b1">p</font> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> &amp; <font color="Olive" title="b4">l</font> <a href="int_1.html#R1" title="INT_1:pred.1">divides</a>  <a href="ratfunc1.html#NK3" title="RATFUNC1:NK.3">LC</a> <font color="Olive" title="b1">p</font> )</div></div>
