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

<b>let </b><font color="Maroon">s</font> be   <a href="ami_1.html#NM4">State</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> ;<br/><b>let </b><font color="Maroon">I</font> be  <a href="scmfsa6b.html#V2" target="_self">parahalting</a> <a href="scmfsa6a.html#NM1">Macro-Instruction</a>;<br/>



<b>assume </b><a NAME="E1:23"/><i><font color="Green">E24</font></i>: 
 <a href="scmfsa6a.html#K3">Initialized</a> <font color="Maroon">I</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">s</font>
 ;<br/>

<a NAME="E2:23"/><i><font color="Green">E25</font></i>: 
<font color="Maroon">I</font> <a href="ami_1.html#K17">+*</a> <span class="p1">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 0</span>)</span></span>)</span> <a href="tarski.html#R1">c=</a> <font color="Maroon">I</font> <a href="xboole_0.html#K2">\/</a> <span class="p1">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 0</span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="funct_4.html#T30">FUNCT_4:30</a></i>;<br/>
<a NAME="E3:23"/>
 <a href="scmfsa6a.html#K3">Initialized</a> <font color="Maroon">I</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="funct_4.html#K1">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span> <a href="cqc_lang.html#K3">.--&gt;</a> 1</span>)</span></span>)</span> <a href="funct_4.html#K1">+*</a> <span class="p1">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 0</span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="scmfsa6a.html#D3">SCMFSA6A:def 3</a></i>;<br/>
<a NAME="E4:23"/><b>then </b><i><font color="Green">E41</font></i>: 
 <a href="ami_3.html#K12">Start-At</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 0</span>)</span> <a href="tarski.html#R1">c=</a>  <a href="scmfsa6a.html#K3">Initialized</a> <font color="Maroon">I</font>
 
<b>by </b><i><a class="ref" href="funct_4.html#T26">FUNCT_4:26</a></i>;<br/>
<a NAME="E5:23"/><i><font color="Green">E52</font></i>: 
<font color="Maroon">I</font> <a href="ami_1.html#K17">+*</a> <span class="p1">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 0</span>)</span></span>)</span> is <a href="ami_1.html#V12">halting</a>
 
<b>by </b><i/>;<br/>
<a NAME="E6:23"/>
<font color="Maroon">I</font> <a href="tarski.html#R1">c=</a>  <a href="scmfsa6a.html#K3">Initialized</a> <font color="Maroon">I</font>
 
<b>by </b><i><a class="ref" href="scmfsa6a.html#T26">SCMFSA6A:26</a></i>;<br/>
<a NAME="E7:23"/><b>then </b>
<font color="Maroon">I</font> <a href="xboole_0.html#K2">\/</a> <span class="p1">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 0</span>)</span></span>)</span> <a href="tarski.html#R1">c=</a>  <a href="scmfsa6a.html#K3">Initialized</a> <font color="Maroon">I</font>
 
<b>by </b><i>, <a class="ref" href="xboole_1.html#T8">XBOOLE_1:8</a></i>;<br/>
<a NAME="E8:23"/><b>then </b>
<font color="Maroon">I</font> <a href="ami_1.html#K17">+*</a> <span class="p1">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 0</span>)</span></span>)</span> <a href="tarski.html#R1">c=</a>  <a href="scmfsa6a.html#K3">Initialized</a> <font color="Maroon">I</font>
 
<b>by </b><i>, <a class="ref" href="xboole_1.html#T1">XBOOLE_1:1</a></i>;<br/>
<a NAME="E9:23"/><b>then </b>
<font color="Maroon">I</font> <a href="ami_1.html#K17">+*</a> <span class="p1">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 0</span>)</span></span>)</span> <a href="tarski.html#R1">c=</a> <font color="Maroon">s</font>
 
<b>by </b><i>, <a class="ref" href="xboole_1.html#T1">XBOOLE_1:1</a></i>;<br/>
<b>hence </b><a NAME="E10:23"/>
<font color="Maroon">s</font> is <a href="ami_1.html#V9">halting</a>
 <b>by </b><i>, <a class="ref" href="ami_1.html#D26">AMI_1:def 26</a></i>;<br/>


</div>
