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<div>:: <span class="kw">deftheorem </span>   defines <a href="hurwitz2.html#V10" title="HURWITZ2:attr.10">with_negative_coefficients</a> <a onclick="hs(this)" href="javascript:()">HURWITZ2:def 12 : <br/></a><span> for <font color="Olive" title="b1">p</font> being   <a href="hurwitz2.html#V6" title="HURWITZ2:attr.6">real</a>  <a href="polynom3.html#NM1" title="POLYNOM3:NM.1">Polynomial</a> of <a href="complfld.html#K1" title="COMPLFLD:func.1">F_Complex</a> holds <br/> ( <font color="Olive" title="b1">p</font> is  <a href="hurwitz2.html#V10" title="HURWITZ2:attr.10">with_negative_coefficients</a>  iff  for <font color="Olive" title="b2">i</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b2">i</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="hurwitz.html#NK3" title="HURWITZ:NK.3">deg</a> <font color="Olive" title="b1">p</font> holds <br/><font color="Olive" title="b1">p</font> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Olive" title="b2">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a>  <a href="ordinal1.html#K5" title="ORDINAL1:func.5">0</a>  );<br/></span></div>
