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

<span class="kw">reconsider </span><font color="Maroon" title="c4">F</font> = <span class="p1">(<span class="default"><a href="amistd_1.html#K5" title="AMISTD_1:func.5">il.</a> <font color="Maroon" title="c3">S</font>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a> </span>)</span> <a href="ami_1.html#K22" title="AMI_1:func.22">.--&gt;</a> <span class="p1">(<span class="default"><a href="ami_1.html#K5" title="AMI_1:func.5">halt</a> <font color="Maroon" title="c3">S</font></span>)</span> as   <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  <a href="relat_1.html#V4" title="RELAT_1:attr.4">-defined</a>  the <a href="ami_1.html#U2" title="AMI_1:sel.2">Instructions</a> of <font color="Maroon" title="c3">S</font> <a href="relat_1.html#V5" title="RELAT_1:attr.5">-valued</a>  non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="amistd_1.html#V9" title="AMISTD_1:attr.9">lower</a>  <a href="ami_1.html#NM4" title="AMI_1:NM.4">FinPartState</a> of  <span class="kw">by</span> <span class="lab"><a class="ref" href="amistd_1.html#T48" target="_self" title="AMISTD_1:th.48">Th48</a></span>;<br/>
<span class="kw">take </span>
<font color="Maroon" title="c4">F</font>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c4">F</font> is  <a href="amistd_1.html#V10" title="AMISTD_1:attr.10">halt-ending</a>  &amp; <font color="Maroon" title="c4">F</font> is  <a href="amistd_1.html#V11" title="AMISTD_1:attr.11">unique-halt</a>  &amp; <font color="Maroon" title="c4">F</font> is  <a href="zfmisc_1.html#V1" title="ZFMISC_1:attr.1">trivial</a>  &amp; <font color="Maroon" title="c4">F</font> is  <a href="amistd_1.html#V6" title="AMISTD_1:attr.6">closed</a>  )</span><br/>

<span class="kw">thus </span><a NAME="E2:99_1_1"/>
<font color="Maroon" title="c4">F</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="amistd_1.html#K10" title="AMISTD_1:func.10">LastLoc</a> <font color="Maroon" title="c4">F</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K5" title="AMI_1:func.5">halt</a> <font color="Maroon" title="c3">S</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="amistd_1.html#E83"><span class="lab"><font color="Green" title="E44">Lm7</font></span></a></span>; <span class="comment"><font color="Red">:: according to </font></span><a class="ref" href="amistd_1.html#D22" target="_self" title="AMISTD_1:def.22">AMISTD_1:def 22</a> <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c4">F</font> is  <a href="amistd_1.html#V11" title="AMISTD_1:attr.11">unique-halt</a>  &amp; <font color="Maroon" title="c4">F</font> is  <a href="zfmisc_1.html#V1" title="ZFMISC_1:attr.1">trivial</a>  &amp; <font color="Maroon" title="c4">F</font> is  <a href="amistd_1.html#V6" title="AMISTD_1:attr.6">closed</a>  )</span><br/>

<span class="kw">thus </span><a NAME="E3:99_1_1"/>
for <font color="Olive" title="b1">f</font> being   <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>   st <font color="Maroon" title="c4">F</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K5" title="AMI_1:func.5">halt</a> <font color="Maroon" title="c3">S</font> &amp; <font color="Olive" title="b1">f</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon" title="c4">F</font> holds <br/><font color="Olive" title="b1">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="amistd_1.html#K10" title="AMISTD_1:func.10">LastLoc</a> <font color="Maroon" title="c4">F</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="amistd_1.html#E83"><span class="lab"><font color="Green" title="E44">Lm7</font></span></a></span>; <span class="comment"><font color="Red">:: according to </font></span><a class="ref" href="amistd_1.html#D23" target="_self" title="AMISTD_1:def.23">AMISTD_1:def 23</a> <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c4">F</font> is  <a href="zfmisc_1.html#V1" title="ZFMISC_1:attr.1">trivial</a>  &amp; <font color="Maroon" title="c4">F</font> is  <a href="amistd_1.html#V6" title="AMISTD_1:attr.6">closed</a>  )</span><br/>

<span class="kw">thus </span><a NAME="E4:99_1_1"/>
( <font color="Maroon" title="c4">F</font> is  <a href="zfmisc_1.html#V1" title="ZFMISC_1:attr.1">trivial</a>  &amp; <font color="Maroon" title="c4">F</font> is  <a href="amistd_1.html#V6" title="AMISTD_1:attr.6">closed</a>  )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="amistd_1.html#T46" target="_self" title="AMISTD_1:th.46">Th46</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div>
