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

<b>let </b><font color="Maroon">s1</font> be   <a href="turing_1.html#NM4">All-State</a> of <font color="Maroon">T</font>, <font color="Maroon">s2</font> be   <a href="turing_1.html#NM4">All-State</a> of <font color="Maroon">T</font>;<br/>

<b>given </b><font color="Maroon">k1</font> being    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> <b> such that </b><a NAME="E1:28_1_1"/><i><font color="Green">E31</font></i>: 
( <font color="Maroon">s1</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="turing_1.html#K10" target="_self">Computation</a> <font color="Maroon">s</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">k1</font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="turing_1.html#K10" target="_self">Computation</a> <font color="Maroon">s</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">k1</font></span>)</span> <a href="mcart_1.html#K5">`1</a>  <a href="hidden.html#R1">=</a> the <a href="turing_1.html#U5" target="_self">AcceptS</a> of <font color="Maroon">T</font> )
 ;<br/>

<b>given </b><font color="Maroon">k2</font> being    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> <b> such that </b><a NAME="E2:28_1_1"/><i><font color="Green">E32</font></i>: 
( <font color="Maroon">s2</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="turing_1.html#K10" target="_self">Computation</a> <font color="Maroon">s</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">k2</font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="turing_1.html#K10" target="_self">Computation</a> <font color="Maroon">s</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">k2</font></span>)</span> <a href="mcart_1.html#K5">`1</a>  <a href="hidden.html#R1">=</a> the <a href="turing_1.html#U5" target="_self">AcceptS</a> of <font color="Maroon">T</font> )
 ;<br/>

<a NAME="E3:28_1_1"/>
( <font color="Maroon">k1</font> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">k2</font> or <font color="Maroon">k2</font> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">k1</font> )
 
;<br/>
<b>hence </b><a NAME="E4:28_1_1"/>
<font color="Maroon">s1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">s2</font>
 <b>by </b><i>, , </i>;<br/>


</div>
