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

<b>let </b><font color="Maroon">n</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> , <font color="Maroon">k</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><b>let </b><font color="Maroon">x</font> be   <a href="binarith.html#NM1">Tuple</a> of <font color="Maroon">n</font>,<a href="numbers.html#K5">NAT</a> ;<br/><b>let </b><font color="Maroon">y</font> be   <a href="binarith.html#NM1">Tuple</a> of <font color="Maroon">n</font>,<span class="p1">(<span class="default"><font color="Maroon">k</font> <a href="radix_1.html#K3">-SD</a> </span>)</span>;<br/>





<b>assume </b><a NAME="E1:18"/><i><font color="Green">E29</font></i>: 
<font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <font color="Maroon">y</font>
 ;<br/>

<a NAME="E2:18"/>
 <a href="radix_2.html#K3" target="_self">SDDec2</a> <font color="Maroon">x</font>,<font color="Maroon">k</font> <a href="hidden.html#R1">=</a>  <a href="wsierp_1.html#K6">Sum</a> <span class="p1">(<span class="default"><a href="radix_1.html#K7">DigitSD</a> <font color="Maroon">y</font></span>)</span>
 
<b>by </b><i>, </i>;<br/>
<b>hence </b><a NAME="E3:18"/>
 <a href="radix_2.html#K3" target="_self">SDDec2</a> <font color="Maroon">x</font>,<font color="Maroon">k</font> <a href="hidden.html#R1">=</a>  <a href="radix_1.html#K8">SDDec</a> <font color="Maroon">y</font>
 <b>by </b><i><a class="ref" href="radix_1.html#D7">RADIX_1:def 7</a></i>;<br/>


</div>
