<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E11">DefX1</font></span>   defines <a href="asympt_3.html#K1" title="ASYMPT_3:func.1">Big_Oh_poly</a> <a onclick="hs(this)" href="javascript:()">ASYMPT_3:def 2 : <br/></a><span> for <font color="Olive">b<sub>1</sub></font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="funcsdom.html#K12" title="FUNCSDOM:func.12">RAlgebra</a> <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a></span>)</span> holds <br/> ( <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="asympt_3.html#K1" title="ASYMPT_3:func.1">Big_Oh_poly</a>  iff  for <font color="Olive" title="b2">x</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a>  holds <br/> ( <font color="Olive" title="b2">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive">b<sub>1</sub></font> iff <font color="Olive" title="b2">x</font> is   <a href="asympt_3.html#V1" title="ASYMPT_3:attr.1">polynomially-abs-bounded</a>  <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>,<a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> ) );<br/></span></div>
