<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T45"><span class="comment"><font color="firebrick">:: ASYMPT_2:45</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">k</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b2">c</font> being   <a href="afinsq_1.html#NM2" title="AFINSQ_1:NM.2">XFinSequence</a> of  <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a>   st  <a href="afinsq_1.html#K1" title="AFINSQ_1:func.1">len</a> <font color="Olive" title="b2">c</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">k</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1 &amp;  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b2">c</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">k</font> holds <br/> <a href="asympt_2.html#K2" title="ASYMPT_2:func.2">seq_p</a> <font color="Olive" title="b2">c</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="asympt_0.html#K6" title="ASYMPT_0:func.6">Big_Oh</a> <span class="p1">(<span class="default"><a href="asympt_1.html#K3" title="ASYMPT_1:func.3">seq_n^</a> <font color="Olive" title="b1">k</font></span>)</span> <span class="kw">by</span> <span class="lab"><a class="ref" href="asympt_2.html#T36" target="_self" onmouseover="rs('asympt_2/T36')" onmouseout="rh()">LMXFIN20A</a>, <a class="ref" href="asympt_2.html#T44" target="_self" onmouseover="rs('asympt_2/T44')" onmouseout="rh()">TLNEG3</a></span>;<br/></div></div>
