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

<b>let </b><font color="Maroon">INS</font> be   <a href="ami_1.html#NM3">Instruction</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> ;<br/><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">p</font> be    <a href="ami_1.html#M1">FinPartState</a> of  <a href="scmfsa_2.html#K1">SCM+FSA</a> ;<br/><b>let </b><font color="Maroon">i</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> , <font color="Maroon">j</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> , <font color="Maroon">k</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/>







<b>assume </b><a NAME="E1:41"/><i><font color="Green">E27</font></i>: 
 <a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K5">insloc</a> <span class="p1">(<span class="default"><font color="Maroon">j</font> <a href="nat_1.html#K1">+</a> <font color="Maroon">k</font></span>)</span>
 ;<br/>

<b>then </b><i><font color="Green">E30</font></i>:  <a href="scmfsa_2.html#K7">Next</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span> = 
 <a href="scmfsa_2.html#K7">Next</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> <font color="Maroon">j</font></span>)</span> <a href="scmfsa_4.html#K2" target="_self">+</a> <font color="Maroon">k</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span>
<b>by </b><i/>
<br/>.= 
 <a href="scmfsa_2.html#K7">Next</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> <font color="Maroon">j</font></span>)</span>
<b>by </b><i/>
<br/>.= 
 <a href="scmfsa_2.html#K5">insloc</a> <span class="p1">(<span class="default"><font color="Maroon">j</font> <a href="nat_1.html#K1">+</a> 1</span>)</span>
<b>by </b><i><a class="ref" href="scmfsa_2.html#T32">SCMFSA_2:32</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> <span class="p3">(<span class="default"><font color="Maroon">j</font> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_4.html#K2" target="_self">+</a> <font color="Maroon">k</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font>
<b>by </b><i/>
<br/>.= 
<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"><font color="Maroon">j</font> <a href="nat_1.html#K1">+</a> 1</span>)</span> <a href="nat_1.html#K1">+</a> <font color="Maroon">k</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font>
<b>by </b><i/>
<br/>.= 
<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"><font color="Maroon">j</font> <a href="nat_1.html#K1">+</a> <font color="Maroon">k</font></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font>

<br/>.= 
<span class="p1">(<span class="default"><a href="scmfsa_2.html#K7">Next</a> <span class="p2">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font>
<b>by </b><i><a class="txt" href="scmfsa_4.html#E1:41"><i><font color="Green">E27</font></i></a>, <a class="ref" href="scmfsa_2.html#T32">SCMFSA_2:32</a></i>
;<br/>
<div><i><font color="Green">E31</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="41_2"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">d</font> be   <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> ;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K13">.</a> <font color="Maroon">d</font> = 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K13">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="ami_1.html#D13">AMI_1:def 13</a></i>
<br/>.= 
<font color="Maroon">s</font> <a href="ami_1.html#K13">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="ami_5.html#T81">AMI_5:81</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="ami_1.html#K13">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="ami_1.html#D13">AMI_1:def 13</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K13">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="ami_5.html#T81">AMI_5:81</a></i>
;<br/></div><b>end;</b></div>
<a NAME="E4:41"/><i><font color="Green">E32</font></i>: 
 <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">INS</font> <a href="xxreal_0.html#R1">&lt;=</a> 11 <a href="nat_1.html#K1">+</a> 1
 
<b>by </b><i><a class="ref" href="scmfsa_2.html#T35">SCMFSA_2:35</a></i>;<br/>
<a NAME="E5:41"/><i><font color="Green">E68</font></i>: 
(  not  <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">INS</font> <a href="xxreal_0.html#R1">&lt;=</a> 10 <a href="nat_1.html#K1">+</a> 1 or  <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">INS</font> <a href="xxreal_0.html#R1">&lt;=</a> 10 or  <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">INS</font> <a href="hidden.html#R1">=</a> 11 )
 
<b>by </b><i><a class="ref" href="nat_1.html#T26">NAT_1:26</a></i>;<br/>
<a NAME="E6:41"/><i><font color="Green">E78</font></i>: 
(  not  <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">INS</font> <a href="xxreal_0.html#R1">&lt;=</a> 9 <a href="nat_1.html#K1">+</a> 1 or  <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">INS</font> <a href="xxreal_0.html#R1">&lt;=</a> 8 <a href="nat_1.html#K1">+</a> 1 or  <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">INS</font> <a href="hidden.html#R1">=</a> 10 )
 
<b>by </b><i><a class="ref" href="nat_1.html#T26">NAT_1:26</a></i>;<br/>
<a NAME="E7:41"/><i><font color="Green">E79</font></i>: 
(  not  <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">INS</font> <a href="xxreal_0.html#R1">&lt;=</a> 8 <a href="nat_1.html#K1">+</a> 1 or  <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">INS</font> <a href="xxreal_0.html#R1">&lt;=</a> 7 <a href="nat_1.html#K1">+</a> 1 or  <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">INS</font> <a href="hidden.html#R1">=</a> 9 )
 
<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="41_3"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:41_3"/>
(  <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">INS</font> <a href="hidden.html#R1">=</a> 0 or  <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">INS</font> <a href="hidden.html#R1">=</a> 1 or  <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">INS</font> <a href="hidden.html#R1">=</a> 2 or  <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">INS</font> <a href="hidden.html#R1">=</a> 3 or  <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">INS</font> <a href="hidden.html#R1">=</a> 4 or  <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">INS</font> <a href="hidden.html#R1">=</a> 5 or  <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">INS</font> <a href="hidden.html#R1">=</a> 6 or  <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">INS</font> <a href="hidden.html#R1">=</a> 7 or  <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">INS</font> <a href="hidden.html#R1">=</a> 8 or  <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">INS</font> <a href="hidden.html#R1">=</a> 9 or  <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">INS</font> <a href="hidden.html#R1">=</a> 10 or  <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">INS</font> <a href="hidden.html#R1">=</a> 11 or  <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">INS</font> <a href="hidden.html#R1">=</a> 12 )
 </span><b>by </b><i><a class="txt" href="scmfsa_4.html#E2:41"><i><font color="Green">E30</font></i></a>, <a class="txt" href="scmfsa_4.html#E3:41"><i><font color="Green">E31</font></i></a>, <a class="txt" href="scmfsa_4.html#E4:41"><i><font color="Green">E32</font></i></a>, , <a class="ref" href="cqc_the1.html#T9">CQC_THE1:9</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="41_3_1"><b>suppose </b></a><a NAME="E1:41_3_1"/>
 <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">INS</font> <a href="hidden.html#R1">=</a> 0
 ;<br/><div class="add"><a NAME="E2:41_3_1"/><b>then </b><i><font color="Green">E86</font></i>: 
<font color="Maroon">INS</font> <a href="hidden.html#R1">=</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#T122">SCMFSA_2:122</a></i>;<br/><a NAME="E3:41_3_1"/><i><font color="Green">E87</font></i>: 
 <a href="scmfsa_4.html#K4" target="_self">IncAddr</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>,<font color="Maroon">k</font> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K5">halt</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> 
 <b>by </b><i/>;<br/><b>thus </b> <a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> = 
<font color="Maroon">s</font> <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"><span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span>
<b>by </b><i>, <a class="ref" href="ami_1.html#D8">AMI_1:def 8</a></i>
<br/>.= 
<font color="Maroon">s</font> <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"><span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p4">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p5">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span>
<b>by </b><i>, <a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, <a class="ref" href="ami_1.html#D8">AMI_1:def 8</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</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"><span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p4">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p5">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span>
<b>by </b><i>, <a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, <a class="ref" href="ami_1.html#D8">AMI_1:def 8</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_2"><b>suppose </b></a><a NAME="E1:41_3_2"/>
 <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">INS</font> <a href="hidden.html#R1">=</a> 1
 ;<br/><div class="add"><b>then consider </b><font color="Maroon">da</font> being    <a href="scmfsa_2.html#M1">Int-Location</a> , <font color="Maroon">db</font> being    <a href="scmfsa_2.html#M1">Int-Location</a> <b> such that </b><br/><a NAME="E3:41_3_2"/><i><font color="Green">E88</font></i>: 
<font color="Maroon">INS</font> <a href="hidden.html#R1">=</a> <font color="Maroon">da</font> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">db</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T54">SCMFSA_2:54</a></i>;<br/><a NAME="E4:41_3_2"/><i><font color="Green">E89</font></i>: 
 <a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font> <a href="hidden.html#R1">=</a> <font color="Maroon">da</font> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">db</font>
 <b>by </b><i>, </i>;<br/><a NAME="E5:41_3_2"/><b>then </b><i><font color="Green">E92</font></i>: 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K7">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>;<br/><i><font color="Green">E93</font></i>:  <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span>
<b>by </b><i><a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<br/>.= 
 <a href="scmfsa_2.html#K7">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i>, <a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="scmfsa_2.html#K7">Next</a> <span class="p2">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font>
<b>by </b><i>, <a class="ref" href="ami_5.html#T79">AMI_5:79</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font>
<b>by </b><i>, <a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<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#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="ami_5.html#T79">AMI_5:79</a></i>
;<br/><div><i><font color="Green">E94</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="41_3_2_2"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">d</font> be    <a href="scmfsa_2.html#M2">FinSeq-Location</a> ;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font> = 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i>, <a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>
<br/>.= 
<font color="Maroon">s</font> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T12">SCMFSA_3:12</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, <a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T12">SCMFSA_3:12</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="41_3_2_3"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">d</font> be    <a href="scmfsa_2.html#M1">Int-Location</a> ;<br/><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_2_3_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:41_3_2_3_1"/>
( <font color="Maroon">da</font> <a href="hidden.html#R1">=</a> <font color="Maroon">d</font> or <font color="Maroon">da</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">d</font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_2_3_1_1"><b>suppose </b></a><a NAME="E1:41_3_2_3_1_1"/><i><font color="Green">E95</font></i>: 
<font color="Maroon">da</font> <a href="hidden.html#R1">=</a> <font color="Maroon">d</font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font> = 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">db</font>
<b>by </b><i>, <a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>
<br/>.= 
<font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">db</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, , <a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
;<br/><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_2_3_1_2"><b>suppose </b></a><a NAME="E1:41_3_2_3_1_2"/><i><font color="Green">E96</font></i>: 
<font color="Maroon">da</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">d</font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font> = 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i>, <a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>
<br/>.= 
<font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, , <a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
;<br/><br/></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div><b>hence </b><a NAME="E9:41_3_2"/>
 <a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</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"><span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p4">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p5">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span>
 <b>by </b><i>, , , <a class="ref" href="scmfsa_2.html#T86">SCMFSA_2:86</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_3"><b>suppose </b></a><a NAME="E1:41_3_3"/>
 <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">INS</font> <a href="hidden.html#R1">=</a> 2
 ;<br/><div class="add"><b>then consider </b><font color="Maroon">da</font> being    <a href="scmfsa_2.html#M1">Int-Location</a> , <font color="Maroon">db</font> being    <a href="scmfsa_2.html#M1">Int-Location</a> <b> such that </b><br/><a NAME="E3:41_3_3"/><i><font color="Green">E97</font></i>: 
<font color="Maroon">INS</font> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K9">AddTo</a> <font color="Maroon">da</font>,<font color="Maroon">db</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T55">SCMFSA_2:55</a></i>;<br/><a NAME="E4:41_3_3"/><i><font color="Green">E99</font></i>: 
 <a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K9">AddTo</a> <font color="Maroon">da</font>,<font color="Maroon">db</font>
 <b>by </b><i>, </i>;<br/><a NAME="E5:41_3_3"/><b>then </b><i><font color="Green">E100</font></i>: 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K7">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T90">SCMFSA_2:90</a></i>;<br/><i><font color="Green">E101</font></i>:  <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span>
<b>by </b><i><a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<br/>.= 
 <a href="scmfsa_2.html#K7">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i>, <a class="ref" href="scmfsa_2.html#T90">SCMFSA_2:90</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="scmfsa_2.html#K7">Next</a> <span class="p2">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font>
<b>by </b><i>, <a class="ref" href="ami_5.html#T79">AMI_5:79</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font>
<b>by </b><i>, <a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<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#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="ami_5.html#T79">AMI_5:79</a></i>
;<br/><div><i><font color="Green">E102</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="41_3_3_2"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">d</font> be    <a href="scmfsa_2.html#M2">FinSeq-Location</a> ;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font> = 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i>, <a class="ref" href="scmfsa_2.html#T90">SCMFSA_2:90</a></i>
<br/>.= 
<font color="Maroon">s</font> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T12">SCMFSA_3:12</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, <a class="ref" href="scmfsa_2.html#T90">SCMFSA_2:90</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T12">SCMFSA_3:12</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="41_3_3_3"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">d</font> be    <a href="scmfsa_2.html#M1">Int-Location</a> ;<br/><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_3_3_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:41_3_3_3_1"/>
( <font color="Maroon">da</font> <a href="hidden.html#R1">=</a> <font color="Maroon">d</font> or <font color="Maroon">da</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">d</font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_3_3_1_1"><b>suppose </b></a><a NAME="E1:41_3_3_3_1_1"/><i><font color="Green">E103</font></i>: 
<font color="Maroon">da</font> <a href="hidden.html#R1">=</a> <font color="Maroon">d</font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">da</font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">db</font></span>)</span>
<b>by </b><i>, <a class="ref" href="scmfsa_2.html#T90">SCMFSA_2:90</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">da</font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">db</font></span>)</span>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">da</font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">db</font></span>)</span>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, , <a class="ref" href="scmfsa_2.html#T90">SCMFSA_2:90</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
;<br/><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_3_3_1_2"><b>suppose </b></a><a NAME="E1:41_3_3_3_1_2"/><i><font color="Green">E109</font></i>: 
<font color="Maroon">da</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">d</font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font> = 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i>, <a class="ref" href="scmfsa_2.html#T90">SCMFSA_2:90</a></i>
<br/>.= 
<font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, , <a class="ref" href="scmfsa_2.html#T90">SCMFSA_2:90</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
;<br/><br/></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div><b>hence </b><a NAME="E9:41_3_3"/>
 <a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</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"><span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p4">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p5">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span>
 <b>by </b><i>, , , <a class="ref" href="scmfsa_2.html#T86">SCMFSA_2:86</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_4"><b>suppose </b></a><a NAME="E1:41_3_4"/>
 <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">INS</font> <a href="hidden.html#R1">=</a> 3
 ;<br/><div class="add"><b>then consider </b><font color="Maroon">da</font> being    <a href="scmfsa_2.html#M1">Int-Location</a> , <font color="Maroon">db</font> being    <a href="scmfsa_2.html#M1">Int-Location</a> <b> such that </b><br/><a NAME="E3:41_3_4"/><i><font color="Green">E110</font></i>: 
<font color="Maroon">INS</font> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">da</font>,<font color="Maroon">db</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T56">SCMFSA_2:56</a></i>;<br/><a NAME="E4:41_3_4"/><i><font color="Green">E111</font></i>: 
 <a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">da</font>,<font color="Maroon">db</font>
 <b>by </b><i>, </i>;<br/><a NAME="E5:41_3_4"/><b>then </b><i><font color="Green">E112</font></i>: 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K7">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T91">SCMFSA_2:91</a></i>;<br/><i><font color="Green">E113</font></i>:  <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span>
<b>by </b><i><a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<br/>.= 
 <a href="scmfsa_2.html#K7">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i>, <a class="ref" href="scmfsa_2.html#T91">SCMFSA_2:91</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="scmfsa_2.html#K7">Next</a> <span class="p2">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font>
<b>by </b><i>, <a class="ref" href="ami_5.html#T79">AMI_5:79</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font>
<b>by </b><i>, <a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<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#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="ami_5.html#T79">AMI_5:79</a></i>
;<br/><div><i><font color="Green">E114</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="41_3_4_2"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">d</font> be    <a href="scmfsa_2.html#M2">FinSeq-Location</a> ;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font> = 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i>, <a class="ref" href="scmfsa_2.html#T91">SCMFSA_2:91</a></i>
<br/>.= 
<font color="Maroon">s</font> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T12">SCMFSA_3:12</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, <a class="ref" href="scmfsa_2.html#T91">SCMFSA_2:91</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T12">SCMFSA_3:12</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="41_3_4_3"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">d</font> be    <a href="scmfsa_2.html#M1">Int-Location</a> ;<br/><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_4_3_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:41_3_4_3_1"/>
( <font color="Maroon">da</font> <a href="hidden.html#R1">=</a> <font color="Maroon">d</font> or <font color="Maroon">da</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">d</font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_4_3_1_1"><b>suppose </b></a><a NAME="E1:41_3_4_3_1_1"/><i><font color="Green">E115</font></i>: 
<font color="Maroon">da</font> <a href="hidden.html#R1">=</a> <font color="Maroon">d</font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">da</font></span>)</span> <a href="xcmplx_0.html#K6">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">db</font></span>)</span>
<b>by </b><i>, <a class="ref" href="scmfsa_2.html#T91">SCMFSA_2:91</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">da</font></span>)</span> <a href="xcmplx_0.html#K6">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">db</font></span>)</span>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">da</font></span>)</span> <a href="xcmplx_0.html#K6">-</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">db</font></span>)</span>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, , <a class="ref" href="scmfsa_2.html#T91">SCMFSA_2:91</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
;<br/><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_4_3_1_2"><b>suppose </b></a><a NAME="E1:41_3_4_3_1_2"/><i><font color="Green">E116</font></i>: 
<font color="Maroon">da</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">d</font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font> = 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i>, <a class="ref" href="scmfsa_2.html#T91">SCMFSA_2:91</a></i>
<br/>.= 
<font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, , <a class="ref" href="scmfsa_2.html#T91">SCMFSA_2:91</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
;<br/><br/></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div><b>hence </b><a NAME="E9:41_3_4"/>
 <a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</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"><span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p4">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p5">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span>
 <b>by </b><i>, , , <a class="ref" href="scmfsa_2.html#T86">SCMFSA_2:86</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_5"><b>suppose </b></a><a NAME="E1:41_3_5"/>
 <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">INS</font> <a href="hidden.html#R1">=</a> 4
 ;<br/><div class="add"><b>then consider </b><font color="Maroon">da</font> being    <a href="scmfsa_2.html#M1">Int-Location</a> , <font color="Maroon">db</font> being    <a href="scmfsa_2.html#M1">Int-Location</a> <b> such that </b><br/><a NAME="E3:41_3_5"/><i><font color="Green">E117</font></i>: 
<font color="Maroon">INS</font> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K11">MultBy</a> <font color="Maroon">da</font>,<font color="Maroon">db</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T57">SCMFSA_2:57</a></i>;<br/><a NAME="E4:41_3_5"/><i><font color="Green">E118</font></i>: 
 <a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K11">MultBy</a> <font color="Maroon">da</font>,<font color="Maroon">db</font>
 <b>by </b><i>, </i>;<br/><a NAME="E5:41_3_5"/><b>then </b><i><font color="Green">E119</font></i>: 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K7">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T92">SCMFSA_2:92</a></i>;<br/><i><font color="Green">E120</font></i>:  <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span>
<b>by </b><i><a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<br/>.= 
 <a href="scmfsa_2.html#K7">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i>, <a class="ref" href="scmfsa_2.html#T92">SCMFSA_2:92</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="scmfsa_2.html#K7">Next</a> <span class="p2">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font>
<b>by </b><i>, <a class="ref" href="ami_5.html#T79">AMI_5:79</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font>
<b>by </b><i>, <a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<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#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="ami_5.html#T79">AMI_5:79</a></i>
;<br/><div><i><font color="Green">E121</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="41_3_5_2"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">d</font> be    <a href="scmfsa_2.html#M2">FinSeq-Location</a> ;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font> = 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i>, <a class="ref" href="scmfsa_2.html#T92">SCMFSA_2:92</a></i>
<br/>.= 
<font color="Maroon">s</font> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T12">SCMFSA_3:12</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, <a class="ref" href="scmfsa_2.html#T92">SCMFSA_2:92</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T12">SCMFSA_3:12</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="41_3_5_3"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">d</font> be    <a href="scmfsa_2.html#M1">Int-Location</a> ;<br/><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_5_3_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:41_3_5_3_1"/>
( <font color="Maroon">da</font> <a href="hidden.html#R1">=</a> <font color="Maroon">d</font> or <font color="Maroon">da</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">d</font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_5_3_1_1"><b>suppose </b></a><a NAME="E1:41_3_5_3_1_1"/><i><font color="Green">E122</font></i>: 
<font color="Maroon">da</font> <a href="hidden.html#R1">=</a> <font color="Maroon">d</font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">da</font></span>)</span> <a href="xcmplx_0.html#K3">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">db</font></span>)</span>
<b>by </b><i>, <a class="ref" href="scmfsa_2.html#T92">SCMFSA_2:92</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">da</font></span>)</span> <a href="xcmplx_0.html#K3">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">db</font></span>)</span>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">da</font></span>)</span> <a href="xcmplx_0.html#K3">*</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">db</font></span>)</span>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, , <a class="ref" href="scmfsa_2.html#T92">SCMFSA_2:92</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
;<br/><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_5_3_1_2"><b>suppose </b></a><a NAME="E1:41_3_5_3_1_2"/><i><font color="Green">E123</font></i>: 
<font color="Maroon">da</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">d</font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font> = 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i>, <a class="ref" href="scmfsa_2.html#T92">SCMFSA_2:92</a></i>
<br/>.= 
<font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, , <a class="ref" href="scmfsa_2.html#T92">SCMFSA_2:92</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
;<br/><br/></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div><b>hence </b><a NAME="E9:41_3_5"/>
 <a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</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"><span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p4">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p5">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span>
 <b>by </b><i>, , , <a class="ref" href="scmfsa_2.html#T86">SCMFSA_2:86</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_6"><b>suppose </b></a><a NAME="E1:41_3_6"/>
 <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">INS</font> <a href="hidden.html#R1">=</a> 5
 ;<br/><div class="add"><b>then consider </b><font color="Maroon">da</font> being    <a href="scmfsa_2.html#M1">Int-Location</a> , <font color="Maroon">db</font> being    <a href="scmfsa_2.html#M1">Int-Location</a> <b> such that </b><br/><a NAME="E3:41_3_6"/><i><font color="Green">E124</font></i>: 
<font color="Maroon">INS</font> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K12">Divide</a> <font color="Maroon">da</font>,<font color="Maroon">db</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T58">SCMFSA_2:58</a></i>;<br/><a NAME="E4:41_3_6"/><i><font color="Green">E125</font></i>: 
 <a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K12">Divide</a> <font color="Maroon">da</font>,<font color="Maroon">db</font>
 <b>by </b><i>, </i>;<br/><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="41_3_6_1"><b>now </b></a><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_6_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:41_3_6_1_1"/>
( <font color="Maroon">da</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">db</font> or <font color="Maroon">da</font> <a href="hidden.html#R1">=</a> <font color="Maroon">db</font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_6_1_1_1"><b>suppose </b></a><a NAME="E1:41_3_6_1_1_1"/><i><font color="Green">E126</font></i>: 
<font color="Maroon">da</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">db</font>
 ;<br/><div class="add"><a NAME="E2:41_3_6_1_1_1"/><i><font color="Green">E127</font></i>: 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K7">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span>
 <b>by </b><i><a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, <a class="ref" href="scmfsa_2.html#T93">SCMFSA_2:93</a></i>;<br/><i><font color="Green">E128</font></i>:  <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span>
<b>by </b><i><a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<br/>.= 
 <a href="scmfsa_2.html#K7">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i>, <a class="ref" href="scmfsa_2.html#T93">SCMFSA_2:93</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="scmfsa_2.html#K7">Next</a> <span class="p2">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font>
<b>by </b><i>, <a class="ref" href="ami_5.html#T79">AMI_5:79</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font>
<b>by </b><i>, <a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<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#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="ami_5.html#T79">AMI_5:79</a></i>
;<br/><div><i><font color="Green">E129</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="41_3_6_1_1_1_2"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">d</font> be    <a href="scmfsa_2.html#M2">FinSeq-Location</a> ;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font> = 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i>, <a class="ref" href="scmfsa_2.html#T93">SCMFSA_2:93</a></i>
<br/>.= 
<font color="Maroon">s</font> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T12">SCMFSA_3:12</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, <a class="ref" href="scmfsa_2.html#T93">SCMFSA_2:93</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T12">SCMFSA_3:12</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="41_3_6_1_1_1_3"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">d</font> be    <a href="scmfsa_2.html#M1">Int-Location</a> ;<br/><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_6_1_1_1_3_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:41_3_6_1_1_1_3_1"/>
( <font color="Maroon">da</font> <a href="hidden.html#R1">=</a> <font color="Maroon">d</font> or <font color="Maroon">db</font> <a href="hidden.html#R1">=</a> <font color="Maroon">d</font> or ( <font color="Maroon">da</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">d</font> &amp; <font color="Maroon">db</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">d</font> ) )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_6_1_1_1_3_1_1"><b>suppose </b></a><a NAME="E1:41_3_6_1_1_1_3_1_1"/><i><font color="Green">E130</font></i>: 
<font color="Maroon">da</font> <a href="hidden.html#R1">=</a> <font color="Maroon">d</font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">da</font></span>)</span> <a href="int_1.html#K5">div</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">db</font></span>)</span>
<b>by </b><i>, , <a class="ref" href="scmfsa_2.html#T93">SCMFSA_2:93</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">da</font></span>)</span> <a href="int_1.html#K5">div</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">db</font></span>)</span>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">da</font></span>)</span> <a href="int_1.html#K5">div</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">db</font></span>)</span>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, , , <a class="ref" href="scmfsa_2.html#T93">SCMFSA_2:93</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
;<br/><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_6_1_1_1_3_1_2"><b>suppose </b></a><a NAME="E1:41_3_6_1_1_1_3_1_2"/><i><font color="Green">E131</font></i>: 
<font color="Maroon">db</font> <a href="hidden.html#R1">=</a> <font color="Maroon">d</font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">da</font></span>)</span> <a href="int_1.html#K6">mod</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">db</font></span>)</span>
<b>by </b><i>, <a class="ref" href="scmfsa_2.html#T93">SCMFSA_2:93</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">da</font></span>)</span> <a href="int_1.html#K6">mod</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">db</font></span>)</span>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">da</font></span>)</span> <a href="int_1.html#K6">mod</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">db</font></span>)</span>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, , <a class="ref" href="scmfsa_2.html#T93">SCMFSA_2:93</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
;<br/><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_6_1_1_1_3_1_3"><b>suppose </b></a><a NAME="E1:41_3_6_1_1_1_3_1_3"/><i><font color="Green">E132</font></i>: 
( <font color="Maroon">da</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">d</font> &amp; <font color="Maroon">db</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">d</font> )
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font> = 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i>, <a class="ref" href="scmfsa_2.html#T93">SCMFSA_2:93</a></i>
<br/>.= 
<font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, , <a class="ref" href="scmfsa_2.html#T93">SCMFSA_2:93</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
;<br/><br/></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div><b>hence </b><a NAME="E6:41_3_6_1_1_1"/>
 <a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</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"><span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p4">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p5">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span>
 <b>by </b><i>, , , <a class="ref" href="scmfsa_2.html#T86">SCMFSA_2:86</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_6_1_1_2"><b>suppose </b></a><a NAME="E1:41_3_6_1_1_2"/><i><font color="Green">E133</font></i>: 
<font color="Maroon">da</font> <a href="hidden.html#R1">=</a> <font color="Maroon">db</font>
 ;<br/><div class="add"><a NAME="E2:41_3_6_1_1_2"/><b>then </b><i><font color="Green">E134</font></i>: 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K7">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span>
 <b>by </b><i><a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, <a class="ref" href="scmfsa_2.html#T94">SCMFSA_2:94</a></i>;<br/><i><font color="Green">E135</font></i>:  <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span>
<b>by </b><i><a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<br/>.= 
 <a href="scmfsa_2.html#K7">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i>, , <a class="ref" href="scmfsa_2.html#T94">SCMFSA_2:94</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="scmfsa_2.html#K7">Next</a> <span class="p2">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font>
<b>by </b><i>, <a class="ref" href="ami_5.html#T79">AMI_5:79</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font>
<b>by </b><i>, <a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<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#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="ami_5.html#T79">AMI_5:79</a></i>
;<br/><div><i><font color="Green">E136</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="41_3_6_1_1_2_2"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">d</font> be    <a href="scmfsa_2.html#M2">FinSeq-Location</a> ;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font> = 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i>, , <a class="ref" href="scmfsa_2.html#T94">SCMFSA_2:94</a></i>
<br/>.= 
<font color="Maroon">s</font> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T12">SCMFSA_3:12</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, , <a class="ref" href="scmfsa_2.html#T94">SCMFSA_2:94</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T12">SCMFSA_3:12</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="41_3_6_1_1_2_3"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">d</font> be    <a href="scmfsa_2.html#M1">Int-Location</a> ;<br/><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_6_1_1_2_3_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:41_3_6_1_1_2_3_1"/>
( <font color="Maroon">da</font> <a href="hidden.html#R1">=</a> <font color="Maroon">d</font> or <font color="Maroon">da</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">d</font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_6_1_1_2_3_1_1"><b>suppose </b></a><a NAME="E1:41_3_6_1_1_2_3_1_1"/><i><font color="Green">E137</font></i>: 
<font color="Maroon">da</font> <a href="hidden.html#R1">=</a> <font color="Maroon">d</font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">da</font></span>)</span> <a href="int_1.html#K6">mod</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">db</font></span>)</span>
<b>by </b><i>, , <a class="ref" href="scmfsa_2.html#T94">SCMFSA_2:94</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">da</font></span>)</span> <a href="int_1.html#K6">mod</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">db</font></span>)</span>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">da</font></span>)</span> <a href="int_1.html#K6">mod</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">db</font></span>)</span>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, , , <a class="ref" href="scmfsa_2.html#T94">SCMFSA_2:94</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
;<br/><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_6_1_1_2_3_1_2"><b>suppose </b></a><a NAME="E1:41_3_6_1_1_2_3_1_2"/><i><font color="Green">E138</font></i>: 
<font color="Maroon">da</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">d</font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font> = 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i>, , <a class="ref" href="scmfsa_2.html#T94">SCMFSA_2:94</a></i>
<br/>.= 
<font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, , , <a class="ref" href="scmfsa_2.html#T94">SCMFSA_2:94</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
;<br/><br/></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div><b>hence </b><a NAME="E6:41_3_6_1_1_2"/>
 <a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</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"><span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p4">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p5">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span>
 <b>by </b><i>, , , <a class="ref" href="scmfsa_2.html#T86">SCMFSA_2:86</a></i>;<br/></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div><b>hence </b><a NAME="E6:41_3_6"/>
 <a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</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"><span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p4">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p5">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span>
 ;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_7"><b>suppose </b></a><a NAME="E1:41_3_7"/>
 <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">INS</font> <a href="hidden.html#R1">=</a> 6
 ;<br/><div class="add"><b>then consider </b><font color="Maroon">loc</font> being   <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> <b> such that </b><br/><a NAME="E3:41_3_7"/><i><font color="Green">E139</font></i>: 
<font color="Maroon">INS</font> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K13">goto</a> <font color="Maroon">loc</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T59">SCMFSA_2:59</a></i>;<br/><a NAME="E4:41_3_7"/><i><font color="Green">E140</font></i>: 
 <a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K13">goto</a> <span class="p1">(<span class="default"><font color="Maroon">loc</font> <a href="scmfsa_4.html#K2" target="_self">+</a> <font color="Maroon">k</font></span>)</span>
 <b>by </b><i>, </i>;<br/><i><font color="Green">E141</font></i>:  <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> = 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span>
<b>by </b><i><a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<br/>.= 
<font color="Maroon">loc</font> <a href="scmfsa_4.html#K2" target="_self">+</a> <font color="Maroon">k</font>
<b>by </b><i><a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, <a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</a></i>
;<br/><i><font color="Green">E142</font></i>:  <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span>
<b>by </b><i><a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<br/>.= 
<font color="Maroon">loc</font>
<b>by </b><i>, <a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font>
<b>by </b><i>, </i>
<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#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="ami_5.html#T79">AMI_5:79</a></i>
;<br/><div><i><font color="Green">E143</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="41_3_7_3"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">d</font> be    <a href="scmfsa_2.html#M2">FinSeq-Location</a> ;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font> = 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i>, <a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</a></i>
<br/>.= 
<font color="Maroon">s</font> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T12">SCMFSA_3:12</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, <a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T12">SCMFSA_3:12</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="41_3_7_4"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">d</font> be    <a href="scmfsa_2.html#M1">Int-Location</a> ;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font> = 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i>, <a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</a></i>
<br/>.= 
<font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, <a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
;<br/></div><b>end;</b></div><b>hence </b><a NAME="E9:41_3_7"/>
 <a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</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"><span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p4">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p5">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span>
 <b>by </b><i>, , , <a class="ref" href="scmfsa_2.html#T86">SCMFSA_2:86</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_8"><b>suppose </b></a><a NAME="E1:41_3_8"/>
 <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">INS</font> <a href="hidden.html#R1">=</a> 7
 ;<br/><div class="add"><b>then consider </b><font color="Maroon">loc</font> being   <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> , <font color="Maroon">da</font> being    <a href="scmfsa_2.html#M1">Int-Location</a> <b> such that </b><br/><a NAME="E3:41_3_8"/><i><font color="Green">E144</font></i>: 
<font color="Maroon">INS</font> <a href="hidden.html#R1">=</a> <font color="Maroon">da</font> <a href="scmfsa_2.html#K14">=0_goto</a> <font color="Maroon">loc</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T60">SCMFSA_2:60</a></i>;<br/><a NAME="E4:41_3_8"/><i><font color="Green">E145</font></i>: 
 <a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font> <a href="hidden.html#R1">=</a> <font color="Maroon">da</font> <a href="scmfsa_2.html#K14">=0_goto</a> <span class="p1">(<span class="default"><font color="Maroon">loc</font> <a href="scmfsa_4.html#K2" target="_self">+</a> <font color="Maroon">k</font></span>)</span>
 <b>by </b><i>, </i>;<br/><div><i><font color="Green">E146</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="41_3_8_1"><b>now </b></a><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_8_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:41_3_8_1_1"/>
( <font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">da</font> <a href="hidden.html#R1">=</a> 0 or <font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">da</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0 )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_8_1_1_1"><b>suppose </b></a><a NAME="E1:41_3_8_1_1_1"/><i><font color="Green">E147</font></i>: 
<font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">da</font> <a href="hidden.html#R1">=</a> 0
 ;<br/><div class="add"><a NAME="E2:41_3_8_1_1_1"/><b>then </b><i><font color="Green">E148</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">da</font> <a href="hidden.html#R1">=</a> 0
 <b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>;<br/><i><font color="Green">E149</font></i>:  <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> = 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span>
<b>by </b><i><a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<br/>.= 
<font color="Maroon">loc</font> <a href="scmfsa_4.html#K2" target="_self">+</a> <font color="Maroon">k</font>
<b>by </b><i><a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, , <a class="ref" href="scmfsa_2.html#T96">SCMFSA_2:96</a></i>
;<br/> <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span>
<b>by </b><i><a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<br/>.= 
<font color="Maroon">loc</font>
<b>by </b><i>, , <a class="ref" href="scmfsa_2.html#T96">SCMFSA_2:96</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font>
<b>by </b><i>, </i>
<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#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="ami_5.html#T79">AMI_5:79</a></i>
;<br/><b>hence </b><a NAME="E5:41_3_8_1_1_1"/>
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></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#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span>
 ;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_8_1_1_2"><b>suppose </b></a><a NAME="E1:41_3_8_1_1_2"/><i><font color="Green">E150</font></i>: 
<font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">da</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0
 ;<br/><div class="add"><a NAME="E2:41_3_8_1_1_2"/><b>then </b><i><font color="Green">E151</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">da</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0
 <b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>;<br/><a NAME="E3:41_3_8_1_1_2"/><i><font color="Green">E152</font></i>: 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K7">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span>
 <b>by </b><i><a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, , <a class="ref" href="scmfsa_2.html#T96">SCMFSA_2:96</a></i>;<br/> <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span>
<b>by </b><i><a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<br/>.= 
 <a href="scmfsa_2.html#K7">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i>, , <a class="ref" href="scmfsa_2.html#T96">SCMFSA_2:96</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="scmfsa_2.html#K7">Next</a> <span class="p2">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font>
<b>by </b><i>, <a class="ref" href="ami_5.html#T79">AMI_5:79</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font>
<b>by </b><i>, <a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<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#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="ami_5.html#T79">AMI_5:79</a></i>
;<br/><b>hence </b><a NAME="E5:41_3_8_1_1_2"/>
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></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#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span>
 ;<br/></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div><div><i><font color="Green">E153</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="41_3_8_2"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">d</font> be    <a href="scmfsa_2.html#M2">FinSeq-Location</a> ;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font> = 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i>, <a class="ref" href="scmfsa_2.html#T96">SCMFSA_2:96</a></i>
<br/>.= 
<font color="Maroon">s</font> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T12">SCMFSA_3:12</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, <a class="ref" href="scmfsa_2.html#T96">SCMFSA_2:96</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T12">SCMFSA_3:12</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="41_3_8_3"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">d</font> be    <a href="scmfsa_2.html#M1">Int-Location</a> ;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font> = 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i>, <a class="ref" href="scmfsa_2.html#T96">SCMFSA_2:96</a></i>
<br/>.= 
<font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, <a class="ref" href="scmfsa_2.html#T96">SCMFSA_2:96</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
;<br/></div><b>end;</b></div><b>hence </b><a NAME="E8:41_3_8"/>
 <a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</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"><span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p4">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p5">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span>
 <b>by </b><i>, , , <a class="ref" href="scmfsa_2.html#T86">SCMFSA_2:86</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_9"><b>suppose </b></a><a NAME="E1:41_3_9"/>
 <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">INS</font> <a href="hidden.html#R1">=</a> 8
 ;<br/><div class="add"><b>then consider </b><font color="Maroon">loc</font> being   <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> , <font color="Maroon">da</font> being    <a href="scmfsa_2.html#M1">Int-Location</a> <b> such that </b><br/><a NAME="E3:41_3_9"/><i><font color="Green">E154</font></i>: 
<font color="Maroon">INS</font> <a href="hidden.html#R1">=</a> <font color="Maroon">da</font> <a href="scmfsa_2.html#K15">&gt;0_goto</a> <font color="Maroon">loc</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T61">SCMFSA_2:61</a></i>;<br/><a NAME="E4:41_3_9"/><i><font color="Green">E155</font></i>: 
 <a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font> <a href="hidden.html#R1">=</a> <font color="Maroon">da</font> <a href="scmfsa_2.html#K15">&gt;0_goto</a> <span class="p1">(<span class="default"><font color="Maroon">loc</font> <a href="scmfsa_4.html#K2" target="_self">+</a> <font color="Maroon">k</font></span>)</span>
 <b>by </b><i>, </i>;<br/><div><i><font color="Green">E156</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="41_3_9_1"><b>now </b></a><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_9_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:41_3_9_1_1"/>
( <font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">da</font> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0 or <font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">da</font> <a href="xxreal_0.html#R1">&lt;=</a> 0 )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_9_1_1_1"><b>suppose </b></a><a NAME="E1:41_3_9_1_1_1"/><i><font color="Green">E157</font></i>: 
<font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">da</font> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0
 ;<br/><div class="add"><a NAME="E2:41_3_9_1_1_1"/><b>then </b><i><font color="Green">E158</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">da</font> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0
 <b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>;<br/><i><font color="Green">E159</font></i>:  <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> = 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span>
<b>by </b><i><a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<br/>.= 
<font color="Maroon">loc</font> <a href="scmfsa_4.html#K2" target="_self">+</a> <font color="Maroon">k</font>
<b>by </b><i><a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, , <a class="ref" href="scmfsa_2.html#T97">SCMFSA_2:97</a></i>
;<br/> <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span>
<b>by </b><i><a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<br/>.= 
<font color="Maroon">loc</font>
<b>by </b><i>, , <a class="ref" href="scmfsa_2.html#T97">SCMFSA_2:97</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font>
<b>by </b><i>, </i>
<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#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="ami_5.html#T79">AMI_5:79</a></i>
;<br/><b>hence </b><a NAME="E5:41_3_9_1_1_1"/>
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></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#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span>
 ;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_9_1_1_2"><b>suppose </b></a><a NAME="E1:41_3_9_1_1_2"/><i><font color="Green">E160</font></i>: 
<font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">da</font> <a href="xxreal_0.html#R1">&lt;=</a> 0
 ;<br/><div class="add"><a NAME="E2:41_3_9_1_1_2"/><b>then </b><i><font color="Green">E161</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">da</font> <a href="xxreal_0.html#R1">&lt;=</a> 0
 <b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>;<br/><a NAME="E3:41_3_9_1_1_2"/><i><font color="Green">E162</font></i>: 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K7">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span>
 <b>by </b><i><a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, , <a class="ref" href="scmfsa_2.html#T97">SCMFSA_2:97</a></i>;<br/> <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span>
<b>by </b><i><a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<br/>.= 
 <a href="scmfsa_2.html#K7">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i>, , <a class="ref" href="scmfsa_2.html#T97">SCMFSA_2:97</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="scmfsa_2.html#K7">Next</a> <span class="p2">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font>
<b>by </b><i>, <a class="ref" href="ami_5.html#T79">AMI_5:79</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font>
<b>by </b><i>, <a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<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#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="ami_5.html#T79">AMI_5:79</a></i>
;<br/><b>hence </b><a NAME="E5:41_3_9_1_1_2"/>
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></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#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span>
 ;<br/></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div><div><i><font color="Green">E163</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="41_3_9_2"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">d</font> be    <a href="scmfsa_2.html#M2">FinSeq-Location</a> ;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font> = 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i>, <a class="ref" href="scmfsa_2.html#T97">SCMFSA_2:97</a></i>
<br/>.= 
<font color="Maroon">s</font> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T12">SCMFSA_3:12</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, <a class="ref" href="scmfsa_2.html#T97">SCMFSA_2:97</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T12">SCMFSA_3:12</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="41_3_9_3"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">d</font> be    <a href="scmfsa_2.html#M1">Int-Location</a> ;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font> = 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i>, <a class="ref" href="scmfsa_2.html#T97">SCMFSA_2:97</a></i>
<br/>.= 
<font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, <a class="ref" href="scmfsa_2.html#T97">SCMFSA_2:97</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
;<br/></div><b>end;</b></div><b>hence </b><a NAME="E8:41_3_9"/>
 <a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</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"><span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p4">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p5">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span>
 <b>by </b><i>, , , <a class="ref" href="scmfsa_2.html#T86">SCMFSA_2:86</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_10"><b>suppose </b></a><a NAME="E1:41_3_10"/>
 <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">INS</font> <a href="hidden.html#R1">=</a> 9
 ;<br/><div class="add"><b>then consider </b><font color="Maroon">db</font> being    <a href="scmfsa_2.html#M1">Int-Location</a> , <font color="Maroon">da</font> being    <a href="scmfsa_2.html#M1">Int-Location</a> , <font color="Maroon">f</font> being    <a href="scmfsa_2.html#M2">FinSeq-Location</a> <b> such that </b><br/><a NAME="E3:41_3_10"/><i><font color="Green">E164</font></i>: 
<font color="Maroon">INS</font> <a href="hidden.html#R1">=</a> <font color="Maroon">da</font> <a href="scmfsa_2.html#K16">:=</a> <font color="Maroon">f</font>,<font color="Maroon">db</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T62">SCMFSA_2:62</a></i>;<br/><a NAME="E4:41_3_10"/><i><font color="Green">E165</font></i>: 
 <a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font> <a href="hidden.html#R1">=</a> <font color="Maroon">da</font> <a href="scmfsa_2.html#K16">:=</a> <font color="Maroon">f</font>,<font color="Maroon">db</font>
 <b>by </b><i>, </i>;<br/><a NAME="E5:41_3_10"/><b>then </b><i><font color="Green">E166</font></i>: 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K7">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T98">SCMFSA_2:98</a></i>;<br/><i><font color="Green">E167</font></i>:  <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span>
<b>by </b><i><a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<br/>.= 
 <a href="scmfsa_2.html#K7">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i>, <a class="ref" href="scmfsa_2.html#T98">SCMFSA_2:98</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="scmfsa_2.html#K7">Next</a> <span class="p2">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font>
<b>by </b><i>, <a class="ref" href="ami_5.html#T79">AMI_5:79</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font>
<b>by </b><i>, <a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<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#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="ami_5.html#T79">AMI_5:79</a></i>
;<br/><div><i><font color="Green">E168</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="41_3_10_2"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">d</font> be    <a href="scmfsa_2.html#M2">FinSeq-Location</a> ;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font> = 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i>, <a class="ref" href="scmfsa_2.html#T98">SCMFSA_2:98</a></i>
<br/>.= 
<font color="Maroon">s</font> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T12">SCMFSA_3:12</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, <a class="ref" href="scmfsa_2.html#T98">SCMFSA_2:98</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T12">SCMFSA_3:12</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="41_3_10_3"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">d</font> be    <a href="scmfsa_2.html#M1">Int-Location</a> ;<br/><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_10_3_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:41_3_10_3_1"/>
( <font color="Maroon">da</font> <a href="hidden.html#R1">=</a> <font color="Maroon">d</font> or <font color="Maroon">da</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">d</font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_10_3_1_1"><b>suppose </b></a><a NAME="E1:41_3_10_3_1_1"/><i><font color="Green">E169</font></i>: 
<font color="Maroon">da</font> <a href="hidden.html#R1">=</a> <font color="Maroon">d</font>
 ;<br/><div class="add"><b>consider </b><font color="Maroon">m</font> being    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> <b> such that </b><br/><a NAME="E3:41_3_10_3_1_1"/><i><font color="Green">E170</font></i>: 
<font color="Maroon">m</font> <a href="hidden.html#R1">=</a>  <a href="int_2.html#K1">abs</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">db</font></span>)</span>
 <b>and </b><br/><a NAME="E4:41_3_10_3_1_1"/><i><font color="Green">E171</font></i>: 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">da</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">f</font></span>)</span> <a href="finseq_4.html#K4">/.</a> <font color="Maroon">m</font>
 <b>by </b><i><a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, <a class="ref" href="scmfsa_2.html#T98">SCMFSA_2:98</a></i>;<br/><b>consider </b><font color="Maroon">m'</font> being    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> <b> such that </b><br/><a NAME="E6:41_3_10_3_1_1"/><i><font color="Green">E172</font></i>: 
<font color="Maroon">m'</font> <a href="hidden.html#R1">=</a>  <a href="int_2.html#K1">abs</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">db</font></span>)</span>
 <b>and </b><br/><a NAME="E7:41_3_10_3_1_1"/><i><font color="Green">E173</font></i>: 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">da</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">f</font></span>)</span> <a href="finseq_4.html#K4">/.</a> <font color="Maroon">m'</font>
 <b>by </b><i>, <a class="ref" href="scmfsa_2.html#T98">SCMFSA_2:98</a></i>;<br/><a NAME="E8:41_3_10_3_1_1"/>
<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">db</font> <a href="hidden.html#R1">=</a> <font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">db</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"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font> = 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">f</font></span>)</span> <a href="finseq_4.html#K4">/.</a> <font color="Maroon">m</font>
<b>by </b><i>, , , , <a class="ref" href="scmfsa_3.html#T12">SCMFSA_3:12</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i>, , <a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
;<br/><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_10_3_1_2"><b>suppose </b></a><a NAME="E1:41_3_10_3_1_2"/><i><font color="Green">E174</font></i>: 
<font color="Maroon">da</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">d</font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font> = 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i>, <a class="ref" href="scmfsa_2.html#T98">SCMFSA_2:98</a></i>
<br/>.= 
<font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, , <a class="ref" href="scmfsa_2.html#T98">SCMFSA_2:98</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
;<br/><br/></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div><b>hence </b><a NAME="E9:41_3_10"/>
 <a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</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"><span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p4">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p5">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span>
 <b>by </b><i>, , , <a class="ref" href="scmfsa_2.html#T86">SCMFSA_2:86</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_11"><b>suppose </b></a><a NAME="E1:41_3_11"/>
 <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">INS</font> <a href="hidden.html#R1">=</a> 10
 ;<br/><div class="add"><b>then consider </b><font color="Maroon">db</font> being    <a href="scmfsa_2.html#M1">Int-Location</a> , <font color="Maroon">da</font> being    <a href="scmfsa_2.html#M1">Int-Location</a> , <font color="Maroon">f</font> being    <a href="scmfsa_2.html#M2">FinSeq-Location</a> <b> such that </b><br/><a NAME="E3:41_3_11"/><i><font color="Green">E175</font></i>: 
<font color="Maroon">INS</font> <a href="hidden.html#R1">=</a> <font color="Maroon">f</font>,<font color="Maroon">db</font> <a href="scmfsa_2.html#K17">:=</a> <font color="Maroon">da</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T63">SCMFSA_2:63</a></i>;<br/><a NAME="E4:41_3_11"/><i><font color="Green">E176</font></i>: 
 <a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font> <a href="hidden.html#R1">=</a> <font color="Maroon">f</font>,<font color="Maroon">db</font> <a href="scmfsa_2.html#K17">:=</a> <font color="Maroon">da</font>
 <b>by </b><i>, </i>;<br/><a NAME="E5:41_3_11"/><b>then </b><i><font color="Green">E177</font></i>: 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K7">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T99">SCMFSA_2:99</a></i>;<br/><i><font color="Green">E179</font></i>:  <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span>
<b>by </b><i><a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<br/>.= 
 <a href="scmfsa_2.html#K7">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i>, <a class="ref" href="scmfsa_2.html#T99">SCMFSA_2:99</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="scmfsa_2.html#K7">Next</a> <span class="p2">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font>
<b>by </b><i>, <a class="ref" href="ami_5.html#T79">AMI_5:79</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font>
<b>by </b><i>, <a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<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#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="ami_5.html#T79">AMI_5:79</a></i>
;<br/><div><i><font color="Green">E180</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="41_3_11_2"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">d</font> be    <a href="scmfsa_2.html#M1">Int-Location</a> ;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font> = 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i>, <a class="ref" href="scmfsa_2.html#T99">SCMFSA_2:99</a></i>
<br/>.= 
<font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, <a class="ref" href="scmfsa_2.html#T99">SCMFSA_2:99</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="41_3_11_3"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">d</font> be    <a href="scmfsa_2.html#M2">FinSeq-Location</a> ;<br/><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_11_3_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:41_3_11_3_1"/>
( <font color="Maroon">f</font> <a href="hidden.html#R1">=</a> <font color="Maroon">d</font> or <font color="Maroon">f</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">d</font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_11_3_1_1"><b>suppose </b></a><a NAME="E1:41_3_11_3_1_1"/><i><font color="Green">E181</font></i>: 
<font color="Maroon">f</font> <a href="hidden.html#R1">=</a> <font color="Maroon">d</font>
 ;<br/><div class="add"><b>consider </b><font color="Maroon">m</font> being    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> <b> such that </b><br/><a NAME="E3:41_3_11_3_1_1"/><i><font color="Green">E182</font></i>: 
<font color="Maroon">m</font> <a href="hidden.html#R1">=</a>  <a href="int_2.html#K1">abs</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">db</font></span>)</span>
 <b>and </b><br/><a NAME="E4:41_3_11_3_1_1"/><i><font color="Green">E183</font></i>: 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">f</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">f</font></span>)</span> <a href="funct_7.html#K2">+*</a> <font color="Maroon">m</font>,<span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">da</font></span>)</span>
 <b>by </b><i><a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, <a class="ref" href="scmfsa_2.html#T99">SCMFSA_2:99</a></i>;<br/><b>consider </b><font color="Maroon">m'</font> being    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> <b> such that </b><br/><a NAME="E6:41_3_11_3_1_1"/><i><font color="Green">E184</font></i>: 
<font color="Maroon">m'</font> <a href="hidden.html#R1">=</a>  <a href="int_2.html#K1">abs</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">db</font></span>)</span>
 <b>and </b><br/><a NAME="E7:41_3_11_3_1_1"/><i><font color="Green">E185</font></i>: 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">f</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">f</font></span>)</span> <a href="funct_7.html#K2">+*</a> <font color="Maroon">m'</font>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">da</font></span>)</span>
 <b>by </b><i>, <a class="ref" href="scmfsa_2.html#T99">SCMFSA_2:99</a></i>;<br/><a NAME="E8:41_3_11_3_1_1"/><i><font color="Green">E186</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">da</font> <a href="hidden.html#R1">=</a> <font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">da</font>
 <b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>;<br/><a NAME="E9:41_3_11_3_1_1"/>
<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">db</font> <a href="hidden.html#R1">=</a> <font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">db</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"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font> = 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">f</font></span>)</span> <a href="funct_7.html#K2">+*</a> <font color="Maroon">m</font>,<span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">da</font></span>)</span>
<b>by </b><i>, , , , , <a class="ref" href="scmfsa_3.html#T12">SCMFSA_3:12</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i>, , <a class="ref" href="scmfsa_3.html#T12">SCMFSA_3:12</a></i>
;<br/><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_11_3_1_2"><b>suppose </b></a><a NAME="E1:41_3_11_3_1_2"/><i><font color="Green">E187</font></i>: 
<font color="Maroon">f</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">d</font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font> = 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i>, <a class="ref" href="scmfsa_2.html#T99">SCMFSA_2:99</a></i>
<br/>.= 
<font color="Maroon">s</font> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T12">SCMFSA_3:12</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, , <a class="ref" href="scmfsa_2.html#T99">SCMFSA_2:99</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T12">SCMFSA_3:12</a></i>
;<br/><br/></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div><b>hence </b><a NAME="E9:41_3_11"/>
 <a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</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"><span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p4">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p5">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span>
 <b>by </b><i>, , , <a class="ref" href="scmfsa_2.html#T86">SCMFSA_2:86</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_12"><b>suppose </b></a><a NAME="E1:41_3_12"/>
 <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">INS</font> <a href="hidden.html#R1">=</a> 11
 ;<br/><div class="add"><b>then consider </b><font color="Maroon">da</font> being    <a href="scmfsa_2.html#M1">Int-Location</a> , <font color="Maroon">f</font> being    <a href="scmfsa_2.html#M2">FinSeq-Location</a> <b> such that </b><br/><a NAME="E3:41_3_12"/><i><font color="Green">E188</font></i>: 
<font color="Maroon">INS</font> <a href="hidden.html#R1">=</a> <font color="Maroon">da</font> <a href="scmfsa_2.html#K18">:=len</a> <font color="Maroon">f</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T64">SCMFSA_2:64</a></i>;<br/><a NAME="E4:41_3_12"/><i><font color="Green">E189</font></i>: 
 <a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font> <a href="hidden.html#R1">=</a> <font color="Maroon">da</font> <a href="scmfsa_2.html#K18">:=len</a> <font color="Maroon">f</font>
 <b>by </b><i>, </i>;<br/><a NAME="E5:41_3_12"/><b>then </b><i><font color="Green">E190</font></i>: 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K7">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T100">SCMFSA_2:100</a></i>;<br/><i><font color="Green">E191</font></i>:  <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span>
<b>by </b><i><a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<br/>.= 
 <a href="scmfsa_2.html#K7">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i>, <a class="ref" href="scmfsa_2.html#T100">SCMFSA_2:100</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="scmfsa_2.html#K7">Next</a> <span class="p2">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font>
<b>by </b><i>, <a class="ref" href="ami_5.html#T79">AMI_5:79</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font>
<b>by </b><i>, <a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<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#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="ami_5.html#T79">AMI_5:79</a></i>
;<br/><div><i><font color="Green">E192</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="41_3_12_2"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">d</font> be    <a href="scmfsa_2.html#M2">FinSeq-Location</a> ;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font> = 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i>, <a class="ref" href="scmfsa_2.html#T100">SCMFSA_2:100</a></i>
<br/>.= 
<font color="Maroon">s</font> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T12">SCMFSA_3:12</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, <a class="ref" href="scmfsa_2.html#T100">SCMFSA_2:100</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T12">SCMFSA_3:12</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="41_3_12_3"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">d</font> be    <a href="scmfsa_2.html#M1">Int-Location</a> ;<br/><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_12_3_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:41_3_12_3_1"/>
( <font color="Maroon">da</font> <a href="hidden.html#R1">=</a> <font color="Maroon">d</font> or <font color="Maroon">da</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">d</font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_12_3_1_1"><b>suppose </b></a><a NAME="E1:41_3_12_3_1_1"/><i><font color="Green">E193</font></i>: 
<font color="Maroon">da</font> <a href="hidden.html#R1">=</a> <font color="Maroon">d</font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font> = 
 <a href="finseq_1.html#K3">len</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">f</font></span>)</span>
<b>by </b><i>, <a class="ref" href="scmfsa_2.html#T100">SCMFSA_2:100</a></i>
<br/>.= 
 <a href="finseq_1.html#K3">len</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">f</font></span>)</span>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T12">SCMFSA_3:12</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, , <a class="ref" href="scmfsa_2.html#T100">SCMFSA_2:100</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
;<br/><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_12_3_1_2"><b>suppose </b></a><a NAME="E1:41_3_12_3_1_2"/><i><font color="Green">E194</font></i>: 
<font color="Maroon">da</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">d</font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font> = 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i>, <a class="ref" href="scmfsa_2.html#T100">SCMFSA_2:100</a></i>
<br/>.= 
<font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, , <a class="ref" href="scmfsa_2.html#T100">SCMFSA_2:100</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
;<br/><br/></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div><b>hence </b><a NAME="E9:41_3_12"/>
 <a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</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"><span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p4">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p5">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span>
 <b>by </b><i>, , , <a class="ref" href="scmfsa_2.html#T86">SCMFSA_2:86</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_13"><b>suppose </b></a><a NAME="E1:41_3_13"/>
 <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">INS</font> <a href="hidden.html#R1">=</a> 12
 ;<br/><div class="add"><b>then consider </b><font color="Maroon">da</font> being    <a href="scmfsa_2.html#M1">Int-Location</a> , <font color="Maroon">f</font> being    <a href="scmfsa_2.html#M2">FinSeq-Location</a> <b> such that </b><br/><a NAME="E3:41_3_13"/><i><font color="Green">E195</font></i>: 
<font color="Maroon">INS</font> <a href="hidden.html#R1">=</a> <font color="Maroon">f</font> <a href="scmfsa_2.html#K19">:=&lt;0,...,0&gt;</a> <font color="Maroon">da</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T65">SCMFSA_2:65</a></i>;<br/><a NAME="E4:41_3_13"/><i><font color="Green">E196</font></i>: 
 <a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font> <a href="hidden.html#R1">=</a> <font color="Maroon">f</font> <a href="scmfsa_2.html#K19">:=&lt;0,...,0&gt;</a> <font color="Maroon">da</font>
 <b>by </b><i>, </i>;<br/><a NAME="E5:41_3_13"/><b>then </b><i><font color="Green">E197</font></i>: 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K7">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T101">SCMFSA_2:101</a></i>;<br/><i><font color="Green">E198</font></i>:  <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span>
<b>by </b><i><a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<br/>.= 
 <a href="scmfsa_2.html#K7">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i>, <a class="ref" href="scmfsa_2.html#T101">SCMFSA_2:101</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="scmfsa_2.html#K7">Next</a> <span class="p2">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font>
<b>by </b><i>, <a class="ref" href="ami_5.html#T79">AMI_5:79</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font>
<b>by </b><i>, <a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<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#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="ami_5.html#T79">AMI_5:79</a></i>
;<br/><div><i><font color="Green">E199</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="41_3_13_2"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">d</font> be    <a href="scmfsa_2.html#M1">Int-Location</a> ;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font> = 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i>, <a class="ref" href="scmfsa_2.html#T101">SCMFSA_2:101</a></i>
<br/>.= 
<font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, <a class="ref" href="scmfsa_2.html#T101">SCMFSA_2:101</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="41_3_13_3"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">d</font> be    <a href="scmfsa_2.html#M2">FinSeq-Location</a> ;<br/><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_13_3_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:41_3_13_3_1"/>
( <font color="Maroon">f</font> <a href="hidden.html#R1">=</a> <font color="Maroon">d</font> or <font color="Maroon">f</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">d</font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_13_3_1_1"><b>suppose </b></a><a NAME="E1:41_3_13_3_1_1"/><i><font color="Green">E200</font></i>: 
<font color="Maroon">f</font> <a href="hidden.html#R1">=</a> <font color="Maroon">d</font>
 ;<br/><div class="add"><b>consider </b><font color="Maroon">m</font> being    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> <b> such that </b><br/><a NAME="E3:41_3_13_3_1_1"/><i><font color="Green">E201</font></i>: 
<font color="Maroon">m</font> <a href="hidden.html#R1">=</a>  <a href="int_2.html#K1">abs</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">da</font></span>)</span>
 <b>and </b><br/><a NAME="E4:41_3_13_3_1_1"/><i><font color="Green">E202</font></i>: 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">f</font> <a href="hidden.html#R1">=</a> <font color="Maroon">m</font> <a href="finseq_2.html#K2">|-&gt;</a> 0
 <b>by </b><i><a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, <a class="ref" href="scmfsa_2.html#T101">SCMFSA_2:101</a></i>;<br/><b>consider </b><font color="Maroon">m'</font> being    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> <b> such that </b><br/><a NAME="E6:41_3_13_3_1_1"/><i><font color="Green">E203</font></i>: 
<font color="Maroon">m'</font> <a href="hidden.html#R1">=</a>  <a href="int_2.html#K1">abs</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">da</font></span>)</span>
 <b>and </b><br/><a NAME="E7:41_3_13_3_1_1"/><i><font color="Green">E204</font></i>: 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">f</font> <a href="hidden.html#R1">=</a> <font color="Maroon">m'</font> <a href="finseq_2.html#K2">|-&gt;</a> 0
 <b>by </b><i>, <a class="ref" href="scmfsa_2.html#T101">SCMFSA_2:101</a></i>;<br/><a NAME="E8:41_3_13_3_1_1"/>
<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">da</font> <a href="hidden.html#R1">=</a> <font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">da</font>
 <b>by </b><i><a class="ref" href="scmfsa_3.html#T11">SCMFSA_3:11</a></i>;<br/><b>hence </b><a NAME="E9:41_3_13_3_1_1"/>
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
 <b>by </b><i>, , , , , <a class="ref" href="scmfsa_3.html#T12">SCMFSA_3:12</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_3_13_3_1_2"><b>suppose </b></a><a NAME="E1:41_3_13_3_1_2"/><i><font color="Green">E205</font></i>: 
<font color="Maroon">f</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">d</font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font> = 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i>, <a class="ref" href="scmfsa_2.html#T101">SCMFSA_2:101</a></i>
<br/>.= 
<font color="Maroon">s</font> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T12">SCMFSA_3:12</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_4.html#T2" target="_self">Th2</a>, , <a class="ref" href="scmfsa_2.html#T101">SCMFSA_2:101</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="scmfsa_3.html#T12">SCMFSA_3:12</a></i>
;<br/><br/></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div><b>hence </b><a NAME="E9:41_3_13"/>
 <a href="ami_1.html#K4">Exec</a> <font color="Maroon">INS</font>,<span class="p1">(<span class="default"><font color="Maroon">s</font> <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"><span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</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"><span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p4">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p5">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <font color="Maroon">INS</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s</font></span>)</span></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font></span>)</span></span>)</span>
 <b>by </b><i>, , , <a class="ref" href="scmfsa_2.html#T86">SCMFSA_2:86</a></i>;<br/></div><b>end;</b></div></div><b>end;</b></div>

</div>
