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

<b>reconsider </b><font color="Maroon">F</font> = <span class="p1">(<span class="default"><a href="amistd_1.html#K5" target="_self">il.</a> <font color="Maroon">S</font>,0</span>)</span> <a href="ami_3.html#K14">.--&gt;</a> <span class="p1">(<span class="default"><a href="ami_1.html#K5">halt</a> <font color="Maroon">S</font></span>)</span> as  non <a href="xboole_0.html#V1">empty</a> <a href="ami_3.html#V1">programmed</a> <a href="amistd_1.html#V9" target="_self">lower</a>  <a href="ami_1.html#M1">FinPartState</a> of <font color="Maroon">S</font> <b>by </b><i/>;<br/>
<a NAME="E2:98_1_1"/>
( <font color="Maroon">F</font> is <a href="amistd_1.html#V10" target="_self">halt-ending</a> &amp; <font color="Maroon">F</font> is <a href="amistd_1.html#V11" target="_self">unique-halt</a> )
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="98_1_1_1"><b>proof </b></a><div class="add">

<b>thus </b><a NAME="E1:98_1_1_1"/>
( <font color="Maroon">F</font> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="amistd_1.html#K10" target="_self">LastLoc</a> <font color="Maroon">F</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K5">halt</a> <font color="Maroon">S</font> &amp; ( for <font color="Olive">l</font> being  <a href="ami_1.html#NM2">Instruction-Location</a> of <font color="Maroon">S</font>  st <font color="Maroon">F</font> <a href="funct_1.html#K1">.</a> <font color="Olive">l</font> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K5">halt</a> <font color="Maroon">S</font> &amp; <font color="Olive">l</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <font color="Maroon">F</font> holds <br/><font color="Olive">l</font> <a href="hidden.html#R1">=</a>  <a href="amistd_1.html#K10" target="_self">LastLoc</a> <font color="Maroon">F</font> ) )
 <b>by </b><i/>; <i><font color="Red">:: according to </font></i><a class="ref" href="amistd_1.html#D22" target="_self">AMISTD_1:def 22</a>,<a class="ref" href="amistd_1.html#D23" target="_self">AMISTD_1:def 23</a><br/>


</div><b>end;</b></div>
<b>then reconsider </b><font color="Maroon">F</font> = <font color="Maroon">F</font> as   <a href="amistd_1.html#NM1">pre-Macro</a> of <font color="Maroon">S</font> ;<br/>
<b>take </b>
<font color="Maroon">F</font>
;<br/>

<b>thus </b><a NAME="E4:98_1_1"/>
<font color="Maroon">F</font> is <a href="amistd_1.html#V6" target="_self">closed</a>
 <b>by </b><i/>;<br/>


</div>
