<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T93"><span class="comment"><font color="firebrick">:: ASYMPT_1:93</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">n</font>, <font color="Olive" title="b2">k</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>   st <font color="Olive" title="b2">k</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 1 &amp; <font color="Olive" title="b1">n</font> <a href="newton.html#K7" title="NEWTON:func.7">!</a>  <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b2">k</font> &amp; <font color="Olive" title="b2">k</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span> <a href="newton.html#K7" title="NEWTON:func.7">!</a>  holds <br/> <a href="asympt_1.html#K6" title="ASYMPT_1:func.6">Step1</a> <font color="Olive" title="b2">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">n</font> <a href="newton.html#K7" title="NEWTON:func.7">!</a>  <span class="kw">by</span> <span class="lab"><a class="ref" href="asympt_1.html#D7" target="_self" onmouseover="rs('asympt_1/D7')" onmouseout="rh()">Def6</a></span>;<br/></div></div>
