<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon" title="c1">s</font> be   <a href="nat_1.html#NM1" title="NAT_1:NM.1">Nat</a>;<br/>

<b>reconsider </b><font color="Maroon" title="c2">m</font> = <font color="Maroon" title="c1">s</font> <a href="real_1.html#K5" title="REAL_1:func.5">-</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  as    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  <b>by </b><i><a class="ref" href="ordinal1.html#D13" title="ORDINAL1:def.13">ORDINAL1:def 13</a></i>;<br/>
<a NAME="E2:32"/><i><font color="Green" title="E17">A1</font></i>: 
<font color="Maroon" title="c1">s</font> <a href="newton.html#K6" title="NEWTON:func.6">!</a>  <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 
<b>by </b><i><a class="ref" href="newton.html#T23" target="_self" title="NEWTON:th.23">Th23</a></i>;<br/>
<a NAME="E3:32"/>
<font color="Maroon" title="c2">m</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">s</font>
 
;<br/>
<b>then </b><font color="Maroon" title="c1">s</font> <a href="newton.html#K8" title="NEWTON:func.8">choose</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  = 
<span class="p1">(<span class="default"><font color="Maroon" title="c1">s</font> <a href="newton.html#K6" title="NEWTON:func.6">!</a> </span>)</span> <a href="real_1.html#K10" title="REAL_1:func.10">/</a> <span class="p1">(<span class="default">1 <a href="real_1.html#K8" title="REAL_1:func.8">*</a> <span class="p2">(<span class="default"><font color="Maroon" title="c1">s</font> <a href="newton.html#K6" title="NEWTON:func.6">!</a> </span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="newton.html#D3" target="_self" title="NEWTON:def.3">Def3</a>, <a class="ref" href="newton.html#T18" target="_self" title="NEWTON:th.18">Th18</a></i>
<br/>.= 
1
<b>by </b><i><a class="txt" href="newton.html#E2:32"><i><font color="Green" title="E17">A1</font></i></a>, <a class="ref" href="xcmplx_1.html#T60" title="XCMPLX_1:th.60">XCMPLX_1:60</a></i>
;<br/>
<b>hence </b><a NAME="E5:32"/>
<font color="Maroon" title="c1">s</font> <a href="newton.html#K8" title="NEWTON:func.8">choose</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1
 ;<br/>


</div>
