<?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="scmfsa7b.html#V1">good</a> <a href="scm_halt.html#V2" target="_self">InitHalting</a> <a href="scmfsa6a.html#NM1">Macro-Instruction</a>;<br/><b>let </b><font color="Maroon">a</font> be  <a href="sf_mastr.html#V1">read-write</a>  <a href="scmfsa_2.html#M1">Int-Location</a> ;<br/>





<b>assume </b><a NAME="E1:94"/><i><font color="Green">E39</font></i>: 
<font color="Maroon">I</font> <a href="scmfsa7b.html#R4">does_not_destroy</a> <font color="Maroon">a</font>
 ;<br/>

<b>assume </b><a NAME="E2:94"/><i><font color="Green">E40</font></i>: 
<font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span> <a href="hidden.html#R1">=</a> 1
 ;<br/>

<b>assume </b><a NAME="E3:94"/><i><font color="Green">E42</font></i>: 
<font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0
 ;<br/>

<b>set </b><font color="Maroon">P</font> =  <a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span>;<br/>
<b>reconsider </b><font color="Maroon">I1</font> = <font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span> as  <a href="scm_halt.html#V2" target="_self">InitHalting</a> <a href="scmfsa6a.html#NM1">Macro-Instruction</a> ;<br/>
<b>set </b><font color="Maroon">i</font> = <font color="Maroon">a</font> <a href="scmfsa_2.html#K14">=0_goto</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I1</font></span>)</span> <a href="nat_1.html#K1">+</a> 3</span>)</span></span>)</span>;<br/>
<b>defpred </b><font color="Maroon">S<sub>1</sub></font>[   <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> ] <b>means </b>for <font color="Olive">s</font> being  <a href="ami_1.html#NM4">State</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a>   st <font color="Olive">s</font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span> <a href="hidden.html#R1">=</a> 1 &amp; <font color="Olive">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font> <a href="hidden.html#R1">=</a> <font color="Maroon">a<sub>1</sub></font> &amp; <font color="Olive">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0 holds <br/>( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Olive">s</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p4">(<span class="default"><font color="Olive">s</font> <a href="ami_5.html#K8">+*</a> <span class="p5">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Olive">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font></span>)</span> <a href="xcmplx_0.html#K6">-</a> 1 &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Olive">s</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p4">(<span class="default"><font color="Olive">s</font> <a href="ami_5.html#K8">+*</a> <span class="p5">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span> <a href="hidden.html#R1">=</a> 1 &amp;  ex <font color="Olive">k</font> being   <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a>  st <br/>(  <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Olive">s</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Olive">k</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K5">insloc</a> <span class="p1">(<span class="default"><a href="card_1.html#K4">card</a> <span class="p2">(<span class="default"><a href="ami_5.html#K6">ProgramPart</a> <span class="p3">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p4">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> &amp; ( for <font color="Olive">n</font> being   <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a>   st <font color="Olive">n</font> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Olive">k</font> holds <br/> <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Olive">s</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Olive">n</font></span>)</span> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p2">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> ) ) );<br/>
<a NAME="E5:94"/><i><font color="Green">E46</font></i>: 
<font color="Maroon">S<sub>1</sub></font>[0]
 
;<br/>
<a NAME="E6:94"/><i><font color="Green">E47</font></i>: 
for <font color="Olive">k</font> being   <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a>   st <font color="Maroon">S<sub>1</sub></font>[<font color="Olive">k</font>] holds <br/><font color="Maroon">S<sub>1</sub></font>[<font color="Olive">k</font> <a href="nat_1.html#K1">+</a> 1]
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="94_1"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon">k</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/>

<b>assume </b><a NAME="E1:94_1"/><i><font color="Green">E48</font></i>: 
<font color="Maroon">S<sub>1</sub></font>[<font color="Maroon">k</font>]
 ;<br/>

<b>let </b><font color="Maroon">ss</font> be   <a href="ami_1.html#NM4">State</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> ;<br/>

<b>assume </b><a NAME="E2:94_1"/><i><font color="Green">E49</font></i>: 
<font color="Maroon">ss</font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span> <a href="hidden.html#R1">=</a> 1
 ;<br/>

<b>assume </b><a NAME="E3:94_1"/><i><font color="Green">E50</font></i>: 
<font color="Maroon">ss</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font> <a href="hidden.html#R1">=</a> <font color="Maroon">k</font> <a href="nat_1.html#K1">+</a> 1
 ;<br/>

<b>assume </b><a NAME="E4:94_1"/><i><font color="Green">E51</font></i>: 
<font color="Maroon">ss</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0
 ;<br/>

<b>set </b><font color="Maroon">s1</font> = <font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p2">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>;<br/>
<b>set </b><font color="Maroon">s2</font> = <font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p2">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p3">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p4">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>;<br/>
<b>set </b><font color="Maroon">C1</font> =  <a href="ami_1.html#K10">Computation</a> <span class="p1">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p2">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p3">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p4">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>;<br/>
<b>set </b><font color="Maroon">C2</font> =  <a href="ami_1.html#K10">Computation</a> <span class="p1">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p2">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p3">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p4">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>;<br/>
<b>set </b><font color="Maroon">s3</font> = <span class="p1">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p2">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p4">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p5">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span>;<br/>
<div><i><font color="Green">E52</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="94_1_1"><b>now </b></a><div class="add"><div><i><font color="Green">E53</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="94_1_1_1"><b>now </b></a><div class="add"><b>thus </b> <a href="card_1.html#K4">card</a> <span class="p1">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p2">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> = 
 <a href="card_1.html#K4">card</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p3">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p4">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="pre_circ.html#T21">PRE_CIRC:21</a></i>
<br/>.= 
 <a href="card_1.html#K4">card</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="scmfsa8c.html#T106">SCMFSA8C:106</a></i>
<br/>.= 
 <a href="card_1.html#K4">card</a> <span class="p1">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="pre_circ.html#T21">PRE_CIRC:21</a></i>
;<br/><b>thus </b> <a href="card_1.html#K4">card</a> <span class="p1">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="card_1.html#K4">card</a> <span class="p3">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> <span class="p2">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I1</font></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 4
<b>by </b><i><a class="ref" href="scmfsa8b.html#T14">SCMFSA8B:14</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I1</font></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span> <a href="nat_1.html#K1">+</a> 4
<b>by </b><i><a class="ref" href="scmfsa8a.html#T29">SCMFSA8A:29</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I1</font></span>)</span> <a href="nat_1.html#K1">+</a> 3</span>)</span> <a href="nat_1.html#K1">+</a> 2

;<br/></div><b>end;</b></div><div><i><font color="Green">E61</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="94_1_1_2"><b>now </b></a><div class="add"><b>thus </b> <a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">a</font> <a href="scmfsa_2.html#K14">=0_goto</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I1</font></span>)</span> <a href="nat_1.html#K1">+</a> 3</span>)</span></span>)</span></span>)</span> <a href="scmfsa6a.html#K5">';'</a> <font color="Maroon">I1</font></span>)</span> <a href="scmfsa6a.html#K4">';'</a> <span class="p3">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="card_1.html#K4">card</a> <span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa6a.html#K4">';'</a> <span class="p2">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span></span>)</span> <a href="scmfsa6a.html#K4">';'</a> <a href="scmfsa_4.html#K5">SCM+FSA-Stop</a> 
<b>by </b><i><a class="ref" href="scmfsa8b.html#D1">SCMFSA8B:def 1</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">a</font> <a href="scmfsa_2.html#K14">=0_goto</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I1</font></span>)</span> <a href="nat_1.html#K1">+</a> 3</span>)</span></span>)</span></span>)</span> <a href="scmfsa6a.html#K5">';'</a> <span class="p3">(<span class="default"><font color="Maroon">I1</font> <a href="scmfsa6a.html#K4">';'</a> <span class="p4">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><a href="card_1.html#K4">card</a> <span class="p2">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa6a.html#K4">';'</a> <span class="p2">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span></span>)</span> <a href="scmfsa6a.html#K4">';'</a> <a href="scmfsa_4.html#K5">SCM+FSA-Stop</a> 
<b>by </b><i><a class="ref" href="scmfsa6a.html#T66">SCMFSA6A:66</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">a</font> <a href="scmfsa_2.html#K14">=0_goto</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I1</font></span>)</span> <a href="nat_1.html#K1">+</a> 3</span>)</span></span>)</span></span>)</span> <a href="scmfsa6a.html#K5">';'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">I1</font> <a href="scmfsa6a.html#K4">';'</a> <span class="p4">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><a href="card_1.html#K4">card</a> <span class="p2">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa6a.html#K4">';'</a> <span class="p3">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa6a.html#K4">';'</a> <a href="scmfsa_4.html#K5">SCM+FSA-Stop</a> 
<b>by </b><i><a class="ref" href="scmfsa6a.html#T66">SCMFSA6A:66</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="scmfsa_2.html#K14">=0_goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I1</font></span>)</span> <a href="nat_1.html#K1">+</a> 3</span>)</span></span>)</span></span>)</span> <a href="scmfsa6a.html#K5">';'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">I1</font> <a href="scmfsa6a.html#K4">';'</a> <span class="p4">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><a href="card_1.html#K4">card</a> <span class="p2">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa6a.html#K4">';'</a> <span class="p3">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span></span>)</span> <a href="scmfsa6a.html#K4">';'</a> <a href="scmfsa_4.html#K5">SCM+FSA-Stop</a> </span>)</span>
<b>by </b><i><a class="ref" href="scmfsa6a.html#T66">SCMFSA6A:66</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="scmfsa6a.html#K2">Macro</a> <span class="p2">(<span class="default"><font color="Maroon">a</font> <a href="scmfsa_2.html#K14">=0_goto</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I1</font></span>)</span> <a href="nat_1.html#K1">+</a> 3</span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa6a.html#K4">';'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">I1</font> <a href="scmfsa6a.html#K4">';'</a> <span class="p4">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><a href="card_1.html#K4">card</a> <span class="p2">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa6a.html#K4">';'</a> <span class="p3">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span></span>)</span> <a href="scmfsa6a.html#K4">';'</a> <a href="scmfsa_4.html#K5">SCM+FSA-Stop</a> </span>)</span>
<b>by </b><i><a class="ref" href="scmfsa6a.html#D5">SCMFSA6A:def 5</a></i>
;<br/></div><b>end;</b></div><a NAME="E3:94_1_1"/>
(  <a href="ami_5.html#K1">InsCode</a> <span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="scmfsa_2.html#K14">=0_goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I1</font></span>)</span> <a href="nat_1.html#K1">+</a> 3</span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> 7 &amp;  <a href="ami_5.html#K1">InsCode</a> <span class="p1">(<span class="default"><a href="ami_1.html#K5">halt</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> <a href="hidden.html#R1">=</a> 0 )
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T48">SCMFSA_2:48</a>, <a class="ref" href="scmfsa_2.html#T124">SCMFSA_2:124</a></i>;<br/><a NAME="E4:94_1_1"/><b>then </b>
(  <a href="scmfsa_2.html#K5">insloc</a> 0 <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K2">Macro</a> <span class="p2">(<span class="default"><font color="Maroon">a</font> <a href="scmfsa_2.html#K14">=0_goto</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I1</font></span>)</span> <a href="nat_1.html#K1">+</a> 3</span>)</span></span>)</span></span>)</span></span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmfsa6a.html#K2">Macro</a> <span class="p2">(<span class="default"><font color="Maroon">a</font> <a href="scmfsa_2.html#K14">=0_goto</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I1</font></span>)</span> <a href="nat_1.html#K1">+</a> 3</span>)</span></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 0</span>)</span> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="ami_1.html#K5">halt</a> <a href="scmfsa_2.html#K1">SCM+FSA</a>  )
 <b>by </b><i><a class="ref" href="scmfsa6b.html#T32">SCMFSA6B:32</a>, <a class="ref" href="scmfsa6b.html#T33">SCMFSA6B:33</a></i>;<br/><b>hence </b><span class="p1">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 0</span>)</span> = 
<span class="p1">(<span class="default"><a href="scmfsa6a.html#K2">Macro</a> <span class="p2">(<span class="default"><font color="Maroon">a</font> <a href="scmfsa_2.html#K14">=0_goto</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I1</font></span>)</span> <a href="nat_1.html#K1">+</a> 3</span>)</span></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 0</span>)</span>
<b>by </b><i>, <a class="ref" href="scmfsa6a.html#T54">SCMFSA6A:54</a></i>
<br/>.= 
<font color="Maroon">a</font> <a href="scmfsa_2.html#K14">=0_goto</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I1</font></span>)</span> <a href="nat_1.html#K1">+</a> 3</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="scmfsa6b.html#T33">SCMFSA6B:33</a></i>
;<br/><br/><b>hence </b><a NAME="E6:94_1_1"/>
<span class="p1">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 0</span>)</span> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="ami_1.html#K5">halt</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> 
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T48">SCMFSA_2:48</a>, <a class="ref" href="scmfsa_2.html#T124">SCMFSA_2:124</a></i>;<br/><b>thus </b><a NAME="E7:94_1_1"/>
 <a href="scmfsa_2.html#K5">insloc</a> 0 <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span>
 <b>by </b><i><a class="ref" href="scmfsa6a.html#T15">SCMFSA6A:15</a>, </i>;<br/><a NAME="E8:94_1_1"/>
 <a href="card_1.html#K4">card</a> <span class="p1">(<span class="default"><a href="ami_5.html#K6">ProgramPart</a> <span class="p2">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p3">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p4">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I1</font></span>)</span> <a href="nat_1.html#K1">+</a> <span class="p1">(<span class="default">3 <a href="nat_1.html#K1">+</a> 2</span>)</span>
 <b>by </b><i>, <a class="ref" href="ami_5.html#T72">AMI_5:72</a></i>;<br/><b>hence </b><a NAME="E9:94_1_1"/>
<span class="p1">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I1</font></span>)</span> <a href="nat_1.html#K1">+</a> 3</span>)</span></span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K13">goto</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> <span class="p2">(<span class="default"><a href="card_1.html#K4">card</a> <span class="p3">(<span class="default"><a href="ami_5.html#K6">ProgramPart</a> <span class="p4">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p5">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
 <b>by </b><i><a class="ref" href="scmfsa8c.html#T116">SCMFSA8C:116</a></i>;<br/><b>hence </b><a NAME="E10:94_1_1"/>
<span class="p1">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I1</font></span>)</span> <a href="nat_1.html#K1">+</a> 3</span>)</span></span>)</span> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="ami_1.html#K5">halt</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> 
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T47">SCMFSA_2:47</a>, <a class="ref" href="scmfsa_2.html#T124">SCMFSA_2:124</a></i>;<br/><div><b>hereby </b>
<div class="add"><a NAME="E1:94_1_1_4"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I1</font></span>)</span> <a href="nat_1.html#K1">+</a> 3</span>)</span> <a href="nat_1.html#K1">+</a> 0 <a href="xxreal_0.html#NR3" target="_self">&lt;</a>  <a href="card_1.html#K4">card</a> <span class="p1">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span>
 <b>by </b><i>, <a class="ref" href="xreal_1.html#T8">XREAL_1:8</a></i>;<br/><b>hence </b><a NAME="E2:94_1_1_4"/>
 <a href="scmfsa_2.html#K5">insloc</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I1</font></span>)</span> <a href="nat_1.html#K1">+</a> 3</span>)</span> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span>
 <b>by </b><i><a class="ref" href="scmfsa6a.html#T15">SCMFSA6A:15</a></i>;<br/></div>
<b>end;</b></div></div><b>end;</b></div>
<div><i><font color="Green">E62</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="94_1_2"><b>now </b></a><div class="add"><a NAME="E1:94_1_2"/>
( <font color="Maroon">I1</font> <a href="scm_halt.html#R1" target="_self">is_closed_onInit</a> <font color="Maroon">ss</font> &amp; <font color="Maroon">I1</font> <a href="scm_halt.html#R2" target="_self">is_halting_onInit</a> <font color="Maroon">ss</font> )
 <b>by </b><i>, </i>;<br/><b>hence </b><a NAME="E2:94_1_2"/><i><font color="Green">E63</font></i>: 
(  <a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span> <a href="scm_halt.html#R1" target="_self">is_closed_onInit</a> <font color="Maroon">ss</font> &amp;  <a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span> <a href="scm_halt.html#R2" target="_self">is_halting_onInit</a> <font color="Maroon">ss</font> )
 <b>by </b><i>, <a class="ref" href="scm_halt.html#T4" target="_self">Th4</a></i>;<br/><span class="p1">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p2">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p4">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p5">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span> = 
 <a href="ami_1.html#K9">Following</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p2">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="ami_1.html#D19">AMI_1:def 19</a></i>
<br/>.= 
 <a href="ami_1.html#K4">Exec</a> <span class="p1">(<span class="default"><a href="ami_1.html#K8">CurInstr</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p4">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p5">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p0">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p1">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p3">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p4">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p5">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p2">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>

;<br/><b>hence </b><a NAME="E4:94_1_2"/><i><font color="Green">E64</font></i>: 
<span class="p1">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p2">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p4">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p5">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K4">Exec</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K13">goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 0</span>)</span></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p2">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
 <b>by </b><i>, </i>;<br/><b>thus </b><a NAME="E5:94_1_2"/>
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p4">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p5">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K5">insloc</a> 0
 <b>by </b><i>, <a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</a></i>;<br/></div><b>end;</b></div>
<div><i><font color="Green">E65</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="94_1_3"><b>now </b></a><div class="add"><div><i><font color="Green">E66</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="94_1_3_1"><b>now </b></a><div class="add"><b>thus </b> <a href="card_1.html#K4">card</a> <span class="p1">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p2">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> = 
 <a href="card_1.html#K4">card</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p3">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p4">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="pre_circ.html#T21">PRE_CIRC:21</a></i>
<br/>.= 
 <a href="card_1.html#K4">card</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="scmfsa8c.html#T106">SCMFSA8C:106</a></i>
<br/>.= 
 <a href="card_1.html#K4">card</a> <span class="p1">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="pre_circ.html#T21">PRE_CIRC:21</a></i>
;<br/><b>thus </b> <a href="card_1.html#K4">card</a> <span class="p1">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="card_1.html#K4">card</a> <span class="p3">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> <span class="p2">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I1</font></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 4
<b>by </b><i><a class="ref" href="scmfsa8b.html#T14">SCMFSA8B:14</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I1</font></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span> <a href="nat_1.html#K1">+</a> 4
<b>by </b><i><a class="ref" href="scmfsa8a.html#T29">SCMFSA8A:29</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I1</font></span>)</span> <a href="nat_1.html#K1">+</a> 3</span>)</span> <a href="nat_1.html#K1">+</a> 2

;<br/></div><b>end;</b></div><div><b>hereby </b>
<div class="add"><b>thus </b><a NAME="E1:94_1_3_2"/>
 <a href="scmfsa_2.html#K5">insloc</a> 0 <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p2">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
 <b>by </b><i>, <a class="ref" href="scmfsa6a.html#T15">SCMFSA6A:15</a></i>;<br/><a NAME="E2:94_1_3_2"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I1</font></span>)</span> <a href="nat_1.html#K1">+</a> 3</span>)</span> <a href="nat_1.html#K1">+</a> <span class="p1">(<span class="default">1 <a href="nat_1.html#K1">+</a> 1</span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I1</font></span>)</span> <a href="nat_1.html#K1">+</a> 3</span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span> <a href="nat_1.html#K1">+</a> 1
 ;<br/><a NAME="E3:94_1_3_2"/><b>then </b>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I1</font></span>)</span> <a href="nat_1.html#K1">+</a> 3</span>)</span> <a href="nat_1.html#K1">+</a> 1 <a href="xxreal_0.html#NR3" target="_self">&lt;</a>  <a href="card_1.html#K4">card</a> <span class="p1">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span>
 <b>by </b><i>, <a class="ref" href="nat_1.html#T38">NAT_1:38</a></i>;<br/><a NAME="E4:94_1_3_2"/><b>then </b>
<span class="p1">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I1</font></span>)</span> <a href="nat_1.html#K1">+</a> 3 <a href="xxreal_0.html#NR3" target="_self">&lt;</a>  <a href="card_1.html#K4">card</a> <span class="p1">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p2">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
 <b>by </b><i>, <a class="ref" href="nat_1.html#T38">NAT_1:38</a></i>;<br/><b>hence </b><a NAME="E5:94_1_3_2"/>
 <a href="scmfsa_2.html#K5">insloc</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I1</font></span>)</span> <a href="nat_1.html#K1">+</a> 3</span>)</span> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p2">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
 <b>by </b><i><a class="ref" href="scmfsa6a.html#T15">SCMFSA6A:15</a></i>;<br/></div>
<b>end;</b></div><b>thus </b><a NAME="E3:94_1_3"/><i><font color="Green">E67</font></i>: 
<span class="p1">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">ss</font></span>)</span> <a href="ami_5.html#K8">+*</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p2">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p2">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
 <b>by </b><i><a class="ref" href="scmfsa8a.html#T8">SCMFSA8A:8</a></i>;<br/><a NAME="E4:94_1_3"/><i><font color="Green">E68</font></i>: 
 <a href="scmfsa6c.html#K1">Initialize</a> <span class="p1">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">ss</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">ss</font>
 <b>by </b><i><a class="ref" href="scmfsa8c.html#T15">SCMFSA8C:15</a></i>;<br/><b>consider </b><font color="Maroon">Is</font> being   <a href="ami_1.html#NM4">State</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> <b> such that </b><br/><a NAME="E6:94_1_3"/><i><font color="Green">E69</font></i>: 
<font color="Maroon">Is</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">ss</font></span>)</span> <a href="ami_5.html#K8">+*</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p2">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
 ;<br/><a NAME="E7:94_1_3"/><i><font color="Green">E70</font></i>: 
<font color="Maroon">Is</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">ss</font></span>)</span> <a href="ami_5.html#K8">+*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 0</span>)</span></span>)</span></span>)</span>
 <b>by </b><i>, , <a class="ref" href="scmfsa8a.html#T13">SCMFSA8A:13</a></i>;<br/><a NAME="E8:94_1_3"/><i><font color="Green">E71</font></i>: 
<font color="Maroon">I1</font> <a href="scm_halt.html#R2" target="_self">is_halting_onInit</a> <font color="Maroon">ss</font>
 <b>by </b><i/>;<br/><a NAME="E9:94_1_3"/><b>then </b><i><font color="Green">E76</font></i>: 
<font color="Maroon">I1</font> <a href="scmfsa7b.html#R6">is_halting_on</a>  <a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">ss</font>
 <b>by </b><i><a class="ref" href="scm_halt.html#T2" target="_self">Th2</a></i>;<br/><div><i><font color="Green">E77</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="94_1_3_3"><b>now </b></a><div class="add"><div><i><font color="Green">E78</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="94_1_3_3_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">b</font> be    <a href="scmfsa_2.html#M1">Int-Location</a> ;<br/><a NAME="E1:94_1_3_3_1"/>
( <span class="p1">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p2">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p4">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p1">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p2">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p4">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p2">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p4">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p5">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p1">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p2">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p4">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="funct_7.html#R1">equal_outside</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a>  &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p4">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p5">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">b</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p2">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">b</font> )
 <b>by </b><i><a class="txt" href="scm_halt.html#E2:94_1_3_3"><i><font color="Green">E79</font></i></a>, , <a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</a></i>;<br/><b>hence </b><a NAME="E2:94_1_3_3_1"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p4">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p5">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">b</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">Is</font></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p2">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <font color="Maroon">Is</font></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">b</font>
 <b>by </b><i>, , <a class="ref" href="scmfsa6a.html#T30">SCMFSA6A:30</a></i>;<br/></div><b>end;</b></div><a NAME="E2:94_1_3_3"/><i><font color="Green">E79</font></i>: 
<span class="p1">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">ss</font></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0
 <b>by </b><i><a class="txt" href="scm_halt.html#E10:94_1_3"><i><font color="Green">E77</font></i></a>, <a class="ref" href="scmfsa6c.html#T3">SCMFSA6C:3</a></i>;<br/><a NAME="E3:94_1_3_3"/>
( <font color="Maroon">I1</font> <a href="scm_halt.html#R1" target="_self">is_closed_onInit</a> <font color="Maroon">ss</font> &amp; <font color="Maroon">I1</font> <a href="scm_halt.html#R2" target="_self">is_halting_onInit</a> <font color="Maroon">ss</font> )
 <b>by </b><i>, </i>;<br/><a NAME="E4:94_1_3_3"/><b>then </b>
( <font color="Maroon">I1</font> <a href="scmfsa7b.html#R5">is_closed_on</a>  <a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">ss</font> &amp; <font color="Maroon">I1</font> <a href="scmfsa7b.html#R6">is_halting_on</a>  <a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">ss</font> )
 <b>by </b><i><a class="txt" href="scm_halt.html#E2:94"><i><font color="Green">E40</font></i></a>, <a class="ref" href="scm_halt.html#T2" target="_self">Th2</a></i>;<br/><a NAME="E5:94_1_3_3"/><b>then </b><i><font color="Green">E80</font></i>: 
(  <a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span> <a href="scmfsa7b.html#R6">is_halting_on</a>  <a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">ss</font> &amp;  <a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span> <a href="scmfsa7b.html#R5">is_closed_on</a>  <a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">ss</font> )
 <b>by </b><i>, <a class="ref" href="scmfsa8b.html#T18">SCMFSA8B:18</a></i>;<br/><b>thus </b><span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p4">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p5">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">Is</font></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p2">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <font color="Maroon">Is</font></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><a href="scmfsa6b.html#K3">IExec</a> <span class="p2">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon">ss</font></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font>
<b>by </b><i>, , <a class="ref" href="scmfsa8c.html#T87">SCMFSA8C:87</a></i>
;<br/><a NAME="E7:94_1_3_3"/><i><font color="Green">E81</font></i>: 
 <a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span> is <a href="scmfsa7b.html#V1">good</a>
 <b>by </b><i><a class="ref" href="scmfsa8c.html#T115">SCMFSA8C:115</a></i>;<br/><b>thus </b><span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p4">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p5">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">Is</font></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p2">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <font color="Maroon">Is</font></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
<b>by </b><i/>
<br/>.= 
1
<b>by </b><i>, , , <a class="ref" href="scmfsa8c.html#T96">SCMFSA8C:96</a></i>
;<br/></div><b>end;</b></div><a NAME="E11:94_1_3"/>
( <font color="Maroon">ss</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0 &amp; <font color="Maroon">I1</font> <a href="scm_halt.html#R1" target="_self">is_closed_onInit</a> <font color="Maroon">ss</font> )
 <b>by </b><i><a class="txt" href="scm_halt.html#E10:94_1_3"><i><font color="Green">E77</font></i></a>, </i>;<br/><a NAME="E12:94_1_3"/><b>then </b>
 <a href="scmfsa6b.html#K3">IExec</a> <span class="p1">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon">ss</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="scmfsa6b.html#K3">IExec</a> <font color="Maroon">I1</font>,<font color="Maroon">ss</font></span>)</span> <a href="ami_5.html#K8">+*</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> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="card_1.html#K4">card</a> <span class="p0">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> <span class="p5">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I1</font></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 3</span>)</span></span>)</span></span>)</span>
 <b>by </b><i>, </i>;<br/><a NAME="E13:94_1_3"/><b>then </b>
<span class="p1">(<span class="default"><a href="scmfsa6b.html#K3">IExec</a> <span class="p2">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon">ss</font></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="scmfsa6b.html#K3">IExec</a> <font color="Maroon">I1</font>,<font color="Maroon">ss</font></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font>
 <b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>;<br/><b>hence </b><span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p4">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p5">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">ss</font></span>)</span> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><font color="Maroon">I1</font> <a href="ami_1.html#K17">+*</a> <span class="p5">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p2">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">ss</font></span>)</span> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><font color="Maroon">I1</font> <a href="ami_1.html#K17">+*</a> <span class="p5">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font>
<b>by </b><i>, , <a class="ref" href="scmfsa8c.html#T87">SCMFSA8C:87</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">ss</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font></span>)</span> <a href="xcmplx_0.html#K6">-</a> 1
<b>by </b><i><a class="txt" href="scm_halt.html#E6:94_1_3"><i><font color="Green">E69</font></i></a>, </i>
;<br/><br/><b>thus </b><a NAME="E15:94_1_3"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p4">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p5">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span> <a href="hidden.html#R1">=</a> 1
 <b>by </b><i/>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E8:94_1"/>
( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p4">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p5">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">ss</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font></span>)</span> <a href="xcmplx_0.html#K6">-</a> 1 &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p4">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p5">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span> <a href="hidden.html#R1">=</a> 1 )
 ;<br/>

<div><b>hereby </b>
<div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="94_1_4_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:94_1_4_1"/>
( <font color="Maroon">k</font> <a href="hidden.html#R1">=</a> 0 or <font color="Maroon">k</font> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0 )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="94_1_4_1_1"><b>suppose </b></a><a NAME="E1:94_1_4_1_1"/><i><font color="Green">E82</font></i>: 
<font color="Maroon">k</font> <a href="hidden.html#R1">=</a> 0
 ;<br/><div class="add"><b>take </b><font color="Maroon">m</font> = <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p4">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p5">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span> <a href="nat_1.html#K1">+</a> 1;<br/><a NAME="E2:94_1_4_1_1"/><i><font color="Green">E84</font></i>: 
<font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p2">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p3">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p4">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p3">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p4">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 0</span>)</span></span>)</span></span>)</span>
 <b>by </b><i>, <a class="ref" href="scmfsa8c.html#T18">SCMFSA8C:18</a></i>;<br/><div><i><font color="Green">E85</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="94_1_4_1_1_1"><b>now </b></a><div class="add"><b>thus </b> <a href="ami_1.html#K8">CurInstr</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p4">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p5">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p2">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p3">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p4">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K13">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 0</span>)</span>
<b>by </b><i>, <a class="ref" href="ami_1.html#T54">AMI_1:54</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p2">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 0</span>)</span>
<b>by </b><i>, <a class="txt" href="scm_halt.html#E1:94_1_4_1_1"><i><font color="Green">E82</font></i></a>, <a class="ref" href="scmfsa8c.html#T26">SCMFSA8C:26</a></i>
<br/>.= 
<font color="Maroon">a</font> <a href="scmfsa_2.html#K14">=0_goto</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I1</font></span>)</span> <a href="nat_1.html#K1">+</a> 3</span>)</span></span>)</span>
<b>by </b><i>, <a class="ref" href="scmfsa8c.html#T108">SCMFSA8C:108</a></i>
;<br/></div><b>end;</b></div><div><i><font color="Green">E86</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="94_1_4_1_1_2"><b>now </b></a><div class="add"><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p2">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p4">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p5">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p4">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p5">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span> = 
 <a href="ami_1.html#K9">Following</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p4">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p5">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="ami_1.html#D19">AMI_1:def 19</a></i>
<br/>.= 
 <a href="ami_1.html#K4">Exec</a> <span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="scmfsa_2.html#K14">=0_goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I1</font></span>)</span> <a href="nat_1.html#K1">+</a> 3</span>)</span></span>)</span></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p4">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p5">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span>
<b>by </b><i/>
;<br/></div><b>end;</b></div><a NAME="E5:94_1_4_1_1"/><i><font color="Green">E87</font></i>: 
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p5">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p0">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p1">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K5">insloc</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I1</font></span>)</span> <a href="nat_1.html#K1">+</a> 3</span>)</span>
 <b>by </b><i>, , , <a class="txt" href="scm_halt.html#E2:94_1_4_1_1"><i><font color="Green">E84</font></i></a>, <a class="ref" href="scmfsa_2.html#T96">SCMFSA_2:96</a></i>;<br/><div><i><font color="Green">E88</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="94_1_4_1_1_3"><b>now </b></a><div class="add"><b>thus </b> <a href="ami_1.html#K8">CurInstr</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p5">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p0">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p1">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p2">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p3">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p4">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K13">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I1</font></span>)</span> <a href="nat_1.html#K1">+</a> 3</span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="scm_halt.html#E3:94_1_4_1_1"><i><font color="Green">E85</font></i></a>, <a class="ref" href="ami_1.html#T54">AMI_1:54</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p2">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I1</font></span>)</span> <a href="nat_1.html#K1">+</a> 3</span>)</span></span>)</span>
<b>by </b><i>, <a class="txt" href="scm_halt.html#E1:94_1_4_1_1"><i><font color="Green">E82</font></i></a>, <a class="ref" href="scmfsa8c.html#T26">SCMFSA8C:26</a></i>
<br/>.= 
 <a href="scmfsa_2.html#K13">goto</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> <span class="p2">(<span class="default"><a href="card_1.html#K4">card</a> <span class="p3">(<span class="default"><a href="ami_5.html#K6">ProgramPart</a> <span class="p4">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p5">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i>, <a class="ref" href="scmfsa8c.html#T108">SCMFSA8C:108</a></i>
;<br/></div><b>end;</b></div><i><font color="Green">E89</font></i>: <span class="p1">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p2">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p4">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p5">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">m</font> = 
 <a href="ami_1.html#K9">Following</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p5">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p0">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p1">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="ami_1.html#D19">AMI_1:def 19</a></i>
<br/>.= 
 <a href="ami_1.html#K4">Exec</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K13">goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> <span class="p3">(<span class="default"><a href="card_1.html#K4">card</a> <span class="p4">(<span class="default"><a href="ami_5.html#K6">ProgramPart</a> <span class="p5">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p5">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p0">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p1">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="scm_halt.html#E4:94_1_4_1_1"><i><font color="Green">E86</font></i></a></i>
;<br/><b>thus </b><a NAME="E8:94_1_4_1_1"/>
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">m</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K5">insloc</a> <span class="p1">(<span class="default"><a href="card_1.html#K4">card</a> <span class="p2">(<span class="default"><a href="ami_5.html#K6">ProgramPart</a> <span class="p3">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p4">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
 <b>by </b><i><a class="txt" href="scm_halt.html#E5:94_1_4_1_1"><i><font color="Green">E87</font></i></a>, <a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</a></i>;<br/><div><b>hereby </b>
<div class="add"><b>let </b><font color="Maroon">n</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><b>assume </b><a NAME="E1:94_1_4_1_1_5"/>
<font color="Maroon">n</font> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">m</font>
 ;<br/><a NAME="E2:94_1_4_1_1_5"/><b>then </b>
<font color="Maroon">n</font> <a href="xxreal_0.html#R1">&lt;=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span> <a href="nat_1.html#K1">+</a> 1
 <b>by </b><i><a class="ref" href="nat_1.html#T38">NAT_1:38</a></i>;<br/><a NAME="E3:94_1_4_1_1_5"/><b>then </b><i><font color="Green">E90</font></i>: 
( <font color="Maroon">n</font> <a href="xxreal_0.html#R1">&lt;=</a> <span class="p1">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p2">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p4">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1 or <font color="Maroon">n</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span> <a href="nat_1.html#K1">+</a> 1 )
 <b>by </b><i><a class="ref" href="nat_1.html#T26">NAT_1:26</a></i>;<br/><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="94_1_4_1_1_5_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:94_1_4_1_1_5_1"/>
( <font color="Maroon">n</font> <a href="xxreal_0.html#R1">&lt;=</a>  <a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p1">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p2">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p3">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p4">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> or <font color="Maroon">n</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p2">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p4">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1 or <font color="Maroon">n</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span> <a href="nat_1.html#K1">+</a> 1 )
 </span><b>by </b><i><a class="txt" href="scm_halt.html#E6:94_1_4_1_1"><i><font color="Green">E88</font></i></a>, <a class="ref" href="nat_1.html#T26">NAT_1:26</a></i>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="94_1_4_1_1_5_1_1"><b>suppose </b></a><a NAME="E1:94_1_4_1_1_5_1_1"/><i><font color="Green">E91</font></i>: 
<font color="Maroon">n</font> <a href="xxreal_0.html#R1">&lt;=</a>  <a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p1">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p2">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p3">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p4">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
 ;<br/><div class="add"><a NAME="E2:94_1_4_1_1_5_1_1"/>
( <font color="Maroon">I1</font> <a href="scm_halt.html#R1" target="_self">is_closed_onInit</a> <font color="Maroon">ss</font> &amp; <font color="Maroon">I1</font> <a href="scm_halt.html#R2" target="_self">is_halting_onInit</a> <font color="Maroon">ss</font> )
 <b>by </b><i>, </i>;<br/><a NAME="E3:94_1_4_1_1_5_1_1"/><b>then </b><i><font color="Green">E92</font></i>: 
(  <a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span> <a href="scm_halt.html#R1" target="_self">is_closed_onInit</a> <font color="Maroon">ss</font> &amp;  <a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span> <a href="scm_halt.html#R2" target="_self">is_halting_onInit</a> <font color="Maroon">ss</font> )
 <b>by </b><i>, <a class="ref" href="scm_halt.html#T4" target="_self">Th4</a></i>;<br/><a NAME="E4:94_1_4_1_1_5_1_1"/><b>then </b>
<span class="p1">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p2">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p4">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">n</font>,<span class="p1">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p2">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p4">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p5">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">n</font> <a href="funct_7.html#R1">equal_outside</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> 
 <b>by </b><i><a class="txt" href="scm_halt.html#E7:94_1_4_1_1"><i><font color="Green">E89</font></i></a>, </i>;<br/><a NAME="E5:94_1_4_1_1_5_1_1"/><b>then </b><i><font color="Green">E93</font></i>: 
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">n</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">n</font></span>)</span>
 <b>by </b><i><a class="ref" href="scmfsa8a.html#T6">SCMFSA8A:6</a></i>;<br/><a NAME="E6:94_1_4_1_1_5_1_1"/>
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">n</font></span>)</span> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span>
 <b>by </b><i><a class="txt" href="scm_halt.html#E3:94_1_4_1_1_5"><i><font color="Green">E90</font></i></a>, <a class="ref" href="scm_halt.html#T1" target="_self">Th1</a></i>;<br/><b>hence </b><a NAME="E7:94_1_4_1_1_5_1_1"/>
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">n</font></span>)</span> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p2">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
 <b>by </b><i><a class="txt" href="scm_halt.html#E1:94_1_4_1_1_5_1_1"><i><font color="Green">E91</font></i></a>, <a class="ref" href="scmfsa8c.html#T106">SCMFSA8C:106</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="94_1_4_1_1_5_1_2"><b>suppose </b></a><a NAME="E1:94_1_4_1_1_5_1_2"/>
<font color="Maroon">n</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p2">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p4">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1
 ;<br/><div class="add"><b>hence </b><a NAME="E2:94_1_4_1_1_5_1_2"/>
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">n</font></span>)</span> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p2">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
 <b>by </b><i>, </i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="94_1_4_1_1_5_1_3"><b>suppose </b></a><a NAME="E1:94_1_4_1_1_5_1_3"/>
<font color="Maroon">n</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span> <a href="nat_1.html#K1">+</a> 1
 ;<br/><div class="add"><b>hence </b><a NAME="E2:94_1_4_1_1_5_1_3"/>
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">n</font></span>)</span> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p2">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
 <b>by </b><i>, <a class="txt" href="scm_halt.html#E3:94_1_4_1_1"><i><font color="Green">E85</font></i></a></i>;<br/></div><b>end;</b></div></div><b>end;</b></div></div>
<b>end;</b></div></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="94_1_4_1_2"><b>suppose </b></a><a NAME="E1:94_1_4_1_2"/><i><font color="Green">E94</font></i>: 
<font color="Maroon">k</font> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0
 ;<br/><div class="add"><b>consider </b><font color="Maroon">Is3</font> being   <a href="ami_1.html#NM4">State</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> <b> such that </b><br/><a NAME="E3:94_1_4_1_2"/><i><font color="Green">E95</font></i>: 
<font color="Maroon">Is3</font> <a href="hidden.html#R1">=</a>  <a href="scmfsa6c.html#K1">Initialize</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p4">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p5">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span>
 ;<br/><a NAME="E4:94_1_4_1_2"/><i><font color="Green">E96</font></i>: 
<font color="Maroon">Is3</font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span> <a href="hidden.html#R1">=</a> 1
 <b>by </b><i>, <a class="ref" href="scmfsa6c.html#T3">SCMFSA6C:3</a></i>;<br/><a NAME="E5:94_1_4_1_2"/>
( <font color="Maroon">Is3</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font> <a href="hidden.html#R1">=</a> <font color="Maroon">k</font> &amp; <font color="Maroon">Is3</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0 )
 <b>by </b><i>, , , , <a class="ref" href="scmfsa6c.html#T3">SCMFSA6C:3</a></i>;<br/><b>then consider </b><font color="Maroon">m0</font> being    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> <b> such that </b><br/><a NAME="E7:94_1_4_1_2"/><i><font color="Green">E97</font></i>: 
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon">Is3</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">m0</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K5">insloc</a> <span class="p1">(<span class="default"><a href="card_1.html#K4">card</a> <span class="p2">(<span class="default"><a href="ami_5.html#K6">ProgramPart</a> <span class="p3">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p4">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
 <b>and </b><br/><a NAME="E8:94_1_4_1_2"/><i><font color="Green">E98</font></i>: 
for <font color="Olive">n</font> being   <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a>   st <font color="Olive">n</font> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">m0</font> holds <br/> <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon">Is3</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Olive">n</font></span>)</span> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p2">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
 <b>by </b><i>, </i>;<br/><b>take </b><font color="Maroon">m</font> = <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span> <a href="nat_1.html#K1">+</a> <font color="Maroon">m0</font>;<br/><div><i><font color="Green">E99</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="94_1_4_1_2_1"><b>now </b></a><div class="add"><b>thus </b><a NAME="E1:94_1_4_1_2_1"/>
 <a href="scmfsa8c.html#K1">loop</a> <span class="p1">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span> <a href="tarski.html#R1">c=</a> <font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p2">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p3">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p4">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
 <b>by </b><i/>;<br/><a NAME="E2:94_1_4_1_2_1"/><b>then </b>
 <a href="ami_5.html#K6">ProgramPart</a> <span class="p1">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p2">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="tarski.html#R1">c=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p2">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p4">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p5">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span>
 <b>by </b><i><a class="ref" href="ami_5.html#T64">AMI_5:64</a></i>;<br/><a NAME="E3:94_1_4_1_2_1"/><b>then </b><i><font color="Green">E217</font></i>: 
 <a href="scmfsa8c.html#K1">loop</a> <span class="p1">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span> <a href="tarski.html#R1">c=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p2">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p4">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p5">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span>
 <b>by </b><i><a class="ref" href="ami_5.html#T72">AMI_5:72</a></i>;<br/><b>thus </b><span class="p1">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p4">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p5">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p0">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p1">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p5">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p0">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p1">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span> <a href="ami_5.html#K8">+*</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p2">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p3">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p4">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p4">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p5">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="ami_5.html#K8">+*</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p2">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p3">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p4">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="scmfsa8a.html#T8">SCMFSA8A:8</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p4">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p5">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="ami_5.html#K8">+*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p3">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p4">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span> <a href="scmfsa_3.html#K1">.--&gt;</a> 1</span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p4">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p5">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p0">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p1">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p5">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p0">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p1">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="ami_5.html#K8">+*</a> <span class="p2">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p3">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p4">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_5.html#K8">+*</a> <span class="p1">(<span class="default"><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="scmfsa_3.html#K1">.--&gt;</a> 1</span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 0</span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="funct_4.html#T15">FUNCT_4:15</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p4">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p5">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p0">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p1">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p5">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p0">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p1">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="ami_5.html#K8">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span> <a href="scmfsa_3.html#K1">.--&gt;</a> 1</span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_5.html#K8">+*</a> <span class="p1">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p2">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p5">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p0">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p1">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p2">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p0">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p2">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span> <a href="scmfsa_3.html#K1">.--&gt;</a> 1</span>)</span></span>)</span> <a href="ami_5.html#K8">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 0</span>)</span></span>)</span></span>)</span> <a href="ami_5.html#K8">+*</a> <span class="p1">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p2">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="funct_4.html#T15">FUNCT_4:15</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p4">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p5">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p0">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p1">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p5">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p0">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p1">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span> <a href="ami_5.html#K8">+*</a> <span class="p1">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p2">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="scmfsa6c.html#D3">SCMFSA6C:def 3</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p4">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p5">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="ami_5.html#K8">+*</a> <span class="p1">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p2">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i>, , <a class="ref" href="scmfsa8c.html#T14">SCMFSA8C:14</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p2">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p4">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p5">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span>
<b>by </b><i>, <a class="ref" href="funct_4.html#T79">FUNCT_4:79</a></i>
;<br/></div><b>end;</b></div><b>hence </b><a NAME="E10:94_1_4_1_2"/>
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">m</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K5">insloc</a> <span class="p1">(<span class="default"><a href="card_1.html#K4">card</a> <span class="p2">(<span class="default"><a href="ami_5.html#K6">ProgramPart</a> <span class="p3">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p4">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
 <b>by </b><i>, , <a class="ref" href="ami_1.html#T51">AMI_1:51</a></i>;<br/><div><b>hereby </b>
<div class="add"><b>let </b><font color="Maroon">n</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><b>assume </b><a NAME="E1:94_1_4_1_2_2"/><i><font color="Green">E218</font></i>: 
<font color="Maroon">n</font> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">m</font>
 ;<br/><a NAME="E2:94_1_4_1_2_2"/>
( <font color="Maroon">I1</font> <a href="scm_halt.html#R1" target="_self">is_closed_onInit</a> <font color="Maroon">ss</font> &amp; <font color="Maroon">I1</font> <a href="scm_halt.html#R2" target="_self">is_halting_onInit</a> <font color="Maroon">ss</font> )
 <b>by </b><i>, </i>;<br/><a NAME="E3:94_1_4_1_2_2"/><b>then </b><i><font color="Green">E219</font></i>: 
(  <a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span> <a href="scm_halt.html#R1" target="_self">is_closed_onInit</a> <font color="Maroon">ss</font> &amp;  <a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span> <a href="scm_halt.html#R2" target="_self">is_halting_onInit</a> <font color="Maroon">ss</font> )
 <b>by </b><i>, <a class="ref" href="scm_halt.html#T4" target="_self">Th4</a></i>;<br/><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="94_1_4_1_2_2_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:94_1_4_1_2_2_1"/>
( <font color="Maroon">n</font> <a href="xxreal_0.html#R1">&lt;=</a>  <a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p1">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p2">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p3">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p4">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> or <span class="p1">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p2">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p4">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1 <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">n</font> )
 </span><b>by </b><i><a class="ref" href="nat_1.html#T38">NAT_1:38</a></i>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="94_1_4_1_2_2_1_1"><b>suppose </b></a><a NAME="E1:94_1_4_1_2_2_1_1"/>
<font color="Maroon">n</font> <a href="xxreal_0.html#R1">&lt;=</a>  <a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p1">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p2">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p3">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p4">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
 ;<br/><div class="add"><a NAME="E2:94_1_4_1_2_2_1_1"/><b>then </b>
<span class="p1">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p2">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p4">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">n</font>,<span class="p1">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p2">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p4">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p5">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">n</font> <a href="funct_7.html#R1">equal_outside</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> 
 <b>by </b><i>, </i>;<br/><a NAME="E3:94_1_4_1_2_2_1_1"/><b>then </b><i><font color="Green">E220</font></i>: 
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">n</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">n</font></span>)</span>
 <b>by </b><i><a class="ref" href="scmfsa8a.html#T6">SCMFSA8A:6</a></i>;<br/><a NAME="E4:94_1_4_1_2_2_1_1"/>
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">n</font></span>)</span> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span>
 <b>by </b><i>, <a class="ref" href="scm_halt.html#T1" target="_self">Th1</a></i>;<br/><b>hence </b><a NAME="E5:94_1_4_1_2_2_1_1"/>
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">n</font></span>)</span> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p2">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
 <b>by </b><i>, <a class="ref" href="scmfsa8c.html#T106">SCMFSA8C:106</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="94_1_4_1_2_2_1_2"><b>suppose </b></a><a NAME="E1:94_1_4_1_2_2_1_2"/><i><font color="Green">E221</font></i>: 
<span class="p1">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p2">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p4">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1 <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">n</font>
 ;<br/><div class="add"><b>consider </b><font color="Maroon">mm</font> being    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> <b> such that </b><br/><a NAME="E3:94_1_4_1_2_2_1_2"/><i><font color="Green">E223</font></i>: 
<font color="Maroon">mm</font> <a href="hidden.html#R1">=</a> <font color="Maroon">n</font> <a href="binarith.html#K3">-'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span>
 ;<br/><a NAME="E4:94_1_4_1_2_2_1_2"/>
<font color="Maroon">mm</font> <a href="nat_1.html#K1">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">n</font>
 <b>by </b><i>, , <a class="ref" href="binarith.html#T53">BINARITH:53</a></i>;<br/><a NAME="E5:94_1_4_1_2_2_1_2"/><b>then </b><i><font color="Green">E224</font></i>: 
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">n</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p5">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p0">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p1">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p2">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p0">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p2">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">mm</font></span>)</span>
 <b>by </b><i><a class="ref" href="ami_1.html#T51">AMI_1:51</a></i>;<br/><a NAME="E6:94_1_4_1_2_2_1_2"/>
<font color="Maroon">n</font> <a href="xcmplx_0.html#K6">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> 0
 <b>by </b><i>, <a class="ref" href="xreal_1.html#T50">XREAL_1:50</a></i>;<br/><a NAME="E7:94_1_4_1_2_2_1_2"/><b>then </b>
( <font color="Maroon">mm</font> <a href="hidden.html#R1">=</a> <font color="Maroon">n</font> <a href="xcmplx_0.html#K6">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span> &amp; <font color="Maroon">m0</font> <a href="hidden.html#R1">=</a> <font color="Maroon">m</font> <a href="xcmplx_0.html#K6">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scm_1.html#NK3" target="_self">LifeSpan</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span> )
 <b>by </b><i>, <a class="ref" href="binarith.html#D3">BINARITH:def 3</a></i>;<br/><a NAME="E8:94_1_4_1_2_2_1_2"/><b>then </b>
<font color="Maroon">mm</font> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">m0</font>
 <b>by </b><i>, <a class="ref" href="xreal_1.html#T11">XREAL_1:11</a></i>;<br/><b>hence </b><a NAME="E9:94_1_4_1_2_2_1_2"/>
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon">ss</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">n</font></span>)</span> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p2">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
 <b>by </b><i>, , , </i>;<br/></div><b>end;</b></div></div><b>end;</b></div></div>
<b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div></div>
<b>end;</b></div>


</div><b>end;</b></div>
<b>reconsider </b><font color="Maroon">sa</font> = <font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font> as    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a>  <b>by </b><i>, <a class="ref" href="int_1.html#T16">INT_1:16</a></i>;<br/>
<a NAME="E8:94"/>
for <font color="Olive">k</font> being   <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a>  holds  <font color="Maroon">S<sub>1</sub></font>[<font color="Olive">k</font>]
 
<b>from </b><i><a class="ref" href="nat_1.html#S1">NAT_1:sch 1</a>(, );<br/></i>
<a NAME="E9:94"/><b>then </b>
<font color="Maroon">S<sub>1</sub></font>[<font color="Maroon">sa</font>]
 
;<br/>
<a NAME="E10:94"/><b>then </b><i><font color="Green">E226</font></i>: 
 ex <font color="Olive">k</font> being   <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a>  st <br/>(  <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Olive">k</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K5">insloc</a> <span class="p1">(<span class="default"><a href="card_1.html#K4">card</a> <span class="p2">(<span class="default"><a href="ami_5.html#K6">ProgramPart</a> <span class="p3">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p4">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> &amp; ( for <font color="Olive">n</font> being   <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a>   st <font color="Olive">n</font> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Olive">k</font> holds <br/> <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p5">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p0">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Olive">n</font></span>)</span> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p2">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> ) )
 
<b>by </b><i>, </i>;<br/>
<a NAME="E11:94"/>
<font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <span class="p2">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p3">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p4">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa8c.html#K1">loop</a> <span class="p3">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p4">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p0">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 0</span>)</span></span>)</span></span>)</span>
 
<b>by </b><i>, <a class="ref" href="scmfsa8c.html#T18">SCMFSA8C:18</a></i>;<br/>
<b>hence </b><a NAME="E12:94"/>
 <a href="scmfsa8c.html#K1">loop</a> <span class="p1">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">I</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa8a.html#R1">is_pseudo-closed_on</a> <font color="Maroon">s</font>
 <b>by </b><i>, <a class="ref" href="scmfsa8a.html#D3">SCMFSA8A:def 3</a></i>;<br/>


</div>
