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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E28">Def10</font></span>   defines <a href="hurwitz2.html#V8" title="HURWITZ2:attr.8">with_all_coefficients</a> <a onclick="hs(this)" href="javascript:()">HURWITZ2:def 10 : <br/></a><span> for <font color="Olive" title="b1">L</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="algstr_0.html#L2" title="ALGSTR_0:struct.2">addLoopStr</a> <br/>  for <font color="Olive" title="b2">p</font> being   <a href="polynom3.html#NM1" title="POLYNOM3:NM.1">Polynomial</a> of <font color="Olive" title="b1">L</font> holds <br/> ( <font color="Olive" title="b2">p</font> is  <a href="hurwitz2.html#V8" title="HURWITZ2:attr.8">with_all_coefficients</a>  iff  for <font color="Olive" title="b3">i</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b3">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="b2">p</font> holds <br/><font color="Olive" title="b2">p</font> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Olive" title="b3">i</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="ordinal1.html#K5" title="ORDINAL1:func.5">0</a>  );<br/></span></div>
