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

<b>let </b><font color="Maroon">c<sub>1</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/>

 <a href="radix_1.html#K1" target="_self">Radix</a> 0 = 
2 <a href="power.html#K4">to_power</a> 0

<br/>.= 
1
<b>by </b><i><a class="ref" href="power.html#T29">POWER:29</a></i>
;<br/>
<b>then </b><i><font color="Green">E9</font></i>: 0 <a href="radix_1.html#K2" target="_self">-SD</a>  = 
<span class="p1">{<span class="default"> <font color="Olive">b<sub>1</sub></font> where B is    <a href="subset_1.html#M2">Element</a> of  <a href="wsierp_1.html#K6">INT</a>  : ( <font color="Olive">b<sub>1</sub></font> <a href="xxreal_0.html#R1">&lt;=</a> 1 <a href="xcmplx_0.html#K6">-</a> 1 &amp; <font color="Olive">b<sub>1</sub></font> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> <span class="p1">(<span class="default"><a href="xcmplx_0.html#K4">-</a> 1</span>)</span> <a href="xcmplx_0.html#K2">+</a> 1 ) </span>}</span> 

<br/>.= 
<span class="p1">{<span class="default"> <font color="Olive">b<sub>1</sub></font> where B is    <a href="subset_1.html#M2">Element</a> of  <a href="wsierp_1.html#K6">INT</a>  : ( <font color="Olive">b<sub>1</sub></font> <a href="xxreal_0.html#R1">&lt;=</a> 0 &amp; <font color="Olive">b<sub>1</sub></font> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> 0 ) </span>}</span> 

;<br/>
<div><b>hereby </b>
<div class="add"><b>assume </b><a NAME="E1:11_3"/>
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R2">in</a> 0 <a href="radix_1.html#K2" target="_self">-SD</a> 
 ;<br/><b>then consider </b><font color="Maroon">c<sub>2</sub></font> being    <a href="subset_1.html#M2">Element</a> of  <a href="wsierp_1.html#K6">INT</a> <b> such that </b><br/><a NAME="E3:11_3"/><i><font color="Green">E10</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font>
 <b>and </b><br/><a NAME="E4:11_3"/><i><font color="Green">E11</font></i>: 
( <font color="Maroon">c<sub>2</sub></font> <a href="xxreal_0.html#R1">&lt;=</a> 0 &amp; <font color="Maroon">c<sub>2</sub></font> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> 0 )
 <b>by </b><i><a class="txt" href="radix_1.html#E2:11"><i><font color="Green">E9</font></i></a></i>;<br/><b>thus </b><a NAME="E5:11_3"/>
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> 0
 <b>by </b><i><a class="txt" href="radix_1.html#E3:11_3"><i><font color="Green">E10</font></i></a>, <a class="txt" href="radix_1.html#E4:11_3"><i><font color="Green">E11</font></i></a></i>;<br/></div>
<b>end;</b></div>

<b>assume </b><a NAME="E4:11"/><i><font color="Green">E10</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> 0
 ;<br/>

<a NAME="E5:11"/><b>then </b>
<font color="Maroon">c<sub>1</sub></font> is    <a href="subset_1.html#M2">Element</a> of  <a href="wsierp_1.html#K6">INT</a> 
 
<b>by </b><i><a class="ref" href="int_1.html#D2">INT_1:def 2</a></i>;<br/>
<b>hence </b><a NAME="E6:11"/>
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R2">in</a> 0 <a href="radix_1.html#K2" target="_self">-SD</a> 
 <b>by </b><i><a class="txt" href="radix_1.html#E2:11"><i><font color="Green">E9</font></i></a>, <a class="txt" href="radix_1.html#E4:11"><i><font color="Green">E10</font></i></a></i>;<br/>


</div>
