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

<b>thus </b><a NAME="E1:126_1_1"/>
 <a href="scmfsa_2.html#K1">SCM+FSA</a>  is <a href="amistd_2.html#V11">IC-good</a>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="126_1_1_1"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon">I</font> be   <a href="ami_1.html#NM3">Instruction</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="amistd_2.html#D18">AMISTD_2:def 18</a><br/>

<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="126_1_1_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:126_1_1_1_1"/>
( <font color="Maroon">I</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default">0,<a href="xboole_0.html#K1">{}</a> </span><a href="tarski.html#K4">]</a></span> or  ex <font color="Olive">a</font>, <font color="Olive">b</font> being   <a href="scmfsa_2.html#M1">Int-Location</a>  st <font color="Maroon">I</font> <a href="hidden.html#R1">=</a> <font color="Olive">a</font> <a href="scmfsa_2.html#K8">:=</a> <font color="Olive">b</font> or  ex <font color="Olive">a</font>, <font color="Olive">b</font> being   <a href="scmfsa_2.html#M1">Int-Location</a>  st <font color="Maroon">I</font> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K9">AddTo</a> <font color="Olive">a</font>,<font color="Olive">b</font> or  ex <font color="Olive">a</font>, <font color="Olive">b</font> being   <a href="scmfsa_2.html#M1">Int-Location</a>  st <font color="Maroon">I</font> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K10">SubFrom</a> <font color="Olive">a</font>,<font color="Olive">b</font> or  ex <font color="Olive">a</font>, <font color="Olive">b</font> being   <a href="scmfsa_2.html#M1">Int-Location</a>  st <font color="Maroon">I</font> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K11">MultBy</a> <font color="Olive">a</font>,<font color="Olive">b</font> or  ex <font color="Olive">a</font>, <font color="Olive">b</font> being   <a href="scmfsa_2.html#M1">Int-Location</a>  st <font color="Maroon">I</font> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K12">Divide</a> <font color="Olive">a</font>,<font color="Olive">b</font> or  ex <font color="Olive">i1</font> being  <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a>  st <font color="Maroon">I</font> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K13">goto</a> <font color="Olive">i1</font> or  ex <font color="Olive">i1</font> being  <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a>  ex <font color="Olive">a</font> being   <a href="scmfsa_2.html#M1">Int-Location</a>  st <font color="Maroon">I</font> <a href="hidden.html#R1">=</a> <font color="Olive">a</font> <a href="scmfsa_2.html#K14">=0_goto</a> <font color="Olive">i1</font> or  ex <font color="Olive">i1</font> being  <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a>  ex <font color="Olive">a</font> being   <a href="scmfsa_2.html#M1">Int-Location</a>  st <font color="Maroon">I</font> <a href="hidden.html#R1">=</a> <font color="Olive">a</font> <a href="scmfsa_2.html#K15">&gt;0_goto</a> <font color="Olive">i1</font> or  ex <font color="Olive">a</font>, <font color="Olive">b</font> being   <a href="scmfsa_2.html#M1">Int-Location</a>  ex <font color="Olive">f</font> being   <a href="scmfsa_2.html#M2">FinSeq-Location</a>  st <font color="Maroon">I</font> <a href="hidden.html#R1">=</a> <font color="Olive">b</font> <a href="scmfsa_2.html#K16">:=</a> <font color="Olive">f</font>,<font color="Olive">a</font> or  ex <font color="Olive">a</font>, <font color="Olive">b</font> being   <a href="scmfsa_2.html#M1">Int-Location</a>  ex <font color="Olive">f</font> being   <a href="scmfsa_2.html#M2">FinSeq-Location</a>  st <font color="Maroon">I</font> <a href="hidden.html#R1">=</a> <font color="Olive">f</font>,<font color="Olive">a</font> <a href="scmfsa_2.html#K17">:=</a> <font color="Olive">b</font> or  ex <font color="Olive">a</font> being   <a href="scmfsa_2.html#M1">Int-Location</a>  ex <font color="Olive">f</font> being   <a href="scmfsa_2.html#M2">FinSeq-Location</a>  st <font color="Maroon">I</font> <a href="hidden.html#R1">=</a> <font color="Olive">a</font> <a href="scmfsa_2.html#K18">:=len</a> <font color="Olive">f</font> or  ex <font color="Olive">a</font> being   <a href="scmfsa_2.html#M1">Int-Location</a>  ex <font color="Olive">f</font> being   <a href="scmfsa_2.html#M2">FinSeq-Location</a>  st <font color="Maroon">I</font> <a href="hidden.html#R1">=</a> <font color="Olive">f</font> <a href="scmfsa_2.html#K19">:=&lt;0,...,0&gt;</a> <font color="Olive">a</font> )
 </span><b>by </b><i><a class="ref" href="scmfsa_2.html#T120">SCMFSA_2:120</a></i>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="126_1_1_1_1_1"><b>suppose </b></a><a NAME="E1:126_1_1_1_1_1"/>
<font color="Maroon">I</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default">0,<a href="xboole_0.html#K1">{}</a> </span><a href="tarski.html#K4">]</a></span>
 ;<br/><div class="add"><b>hence </b><a NAME="E2:126_1_1_1_1_1"/>
<font color="Maroon">I</font> is <a href="amistd_2.html#V10">IC-good</a>
 <b>by </b><i><a class="ref" href="ami_3.html#T71">AMI_3:71</a>, <a class="ref" href="scmfsa_2.html#T123">SCMFSA_2:123</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="126_1_1_1_1_2"><b>suppose </b></a><a NAME="E1:126_1_1_1_1_2"/>
 ex <font color="Olive">a</font>, <font color="Olive">b</font> being   <a href="scmfsa_2.html#M1">Int-Location</a>  st <font color="Maroon">I</font> <a href="hidden.html#R1">=</a> <font color="Olive">a</font> <a href="scmfsa_2.html#K8">:=</a> <font color="Olive">b</font>
 ;<br/><div class="add"><b>then consider </b><font color="Maroon">a</font> being    <a href="scmfsa_2.html#M1">Int-Location</a> , <font color="Maroon">b</font> being    <a href="scmfsa_2.html#M1">Int-Location</a> <b> such that </b><br/><a NAME="E3:126_1_1_1_1_2"/><i><font color="Green">E53</font></i>: 
<font color="Maroon">I</font> <a href="hidden.html#R1">=</a> <font color="Maroon">a</font> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">b</font>
 ;<br/><b>thus </b><a NAME="E4:126_1_1_1_1_2"/>
<font color="Maroon">I</font> is <a href="amistd_2.html#V10">IC-good</a>
 <b>by </b><i><a class="ref" href="scmfsa10.html#T27" target="_self">Th27</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="126_1_1_1_1_3"><b>suppose </b></a><a NAME="E1:126_1_1_1_1_3"/>
 ex <font color="Olive">a</font>, <font color="Olive">b</font> being   <a href="scmfsa_2.html#M1">Int-Location</a>  st <font color="Maroon">I</font> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K9">AddTo</a> <font color="Olive">a</font>,<font color="Olive">b</font>
 ;<br/><div class="add"><b>then consider </b><font color="Maroon">a</font> being    <a href="scmfsa_2.html#M1">Int-Location</a> , <font color="Maroon">b</font> being    <a href="scmfsa_2.html#M1">Int-Location</a> <b> such that </b><br/><a NAME="E3:126_1_1_1_1_3"/><i><font color="Green">E64</font></i>: 
<font color="Maroon">I</font> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K9">AddTo</a> <font color="Maroon">a</font>,<font color="Maroon">b</font>
 ;<br/><b>thus </b><a NAME="E4:126_1_1_1_1_3"/>
<font color="Maroon">I</font> is <a href="amistd_2.html#V10">IC-good</a>
 <b>by </b><i><a class="ref" href="scmfsa10.html#T27" target="_self">Th27</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="126_1_1_1_1_4"><b>suppose </b></a><a NAME="E1:126_1_1_1_1_4"/>
 ex <font color="Olive">a</font>, <font color="Olive">b</font> being   <a href="scmfsa_2.html#M1">Int-Location</a>  st <font color="Maroon">I</font> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K10">SubFrom</a> <font color="Olive">a</font>,<font color="Olive">b</font>
 ;<br/><div class="add"><b>then consider </b><font color="Maroon">a</font> being    <a href="scmfsa_2.html#M1">Int-Location</a> , <font color="Maroon">b</font> being    <a href="scmfsa_2.html#M1">Int-Location</a> <b> such that </b><br/><a NAME="E3:126_1_1_1_1_4"/><i><font color="Green">E66</font></i>: 
<font color="Maroon">I</font> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K10">SubFrom</a> <font color="Maroon">a</font>,<font color="Maroon">b</font>
 ;<br/><b>thus </b><a NAME="E4:126_1_1_1_1_4"/>
<font color="Maroon">I</font> is <a href="amistd_2.html#V10">IC-good</a>
 <b>by </b><i><a class="ref" href="scmfsa10.html#T27" target="_self">Th27</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="126_1_1_1_1_5"><b>suppose </b></a><a NAME="E1:126_1_1_1_1_5"/>
 ex <font color="Olive">a</font>, <font color="Olive">b</font> being   <a href="scmfsa_2.html#M1">Int-Location</a>  st <font color="Maroon">I</font> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K11">MultBy</a> <font color="Olive">a</font>,<font color="Olive">b</font>
 ;<br/><div class="add"><b>then consider </b><font color="Maroon">a</font> being    <a href="scmfsa_2.html#M1">Int-Location</a> , <font color="Maroon">b</font> being    <a href="scmfsa_2.html#M1">Int-Location</a> <b> such that </b><br/><a NAME="E3:126_1_1_1_1_5"/><i><font color="Green">E102</font></i>: 
<font color="Maroon">I</font> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K11">MultBy</a> <font color="Maroon">a</font>,<font color="Maroon">b</font>
 ;<br/><b>thus </b><a NAME="E4:126_1_1_1_1_5"/>
<font color="Maroon">I</font> is <a href="amistd_2.html#V10">IC-good</a>
 <b>by </b><i><a class="ref" href="scmfsa10.html#T27" target="_self">Th27</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="126_1_1_1_1_6"><b>suppose </b></a><a NAME="E1:126_1_1_1_1_6"/>
 ex <font color="Olive">a</font>, <font color="Olive">b</font> being   <a href="scmfsa_2.html#M1">Int-Location</a>  st <font color="Maroon">I</font> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K12">Divide</a> <font color="Olive">a</font>,<font color="Olive">b</font>
 ;<br/><div class="add"><b>then consider </b><font color="Maroon">a</font> being    <a href="scmfsa_2.html#M1">Int-Location</a> , <font color="Maroon">b</font> being    <a href="scmfsa_2.html#M1">Int-Location</a> <b> such that </b><br/><a NAME="E3:126_1_1_1_1_6"/><i><font color="Green">E103</font></i>: 
<font color="Maroon">I</font> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K12">Divide</a> <font color="Maroon">a</font>,<font color="Maroon">b</font>
 ;<br/><b>thus </b><a NAME="E4:126_1_1_1_1_6"/>
<font color="Maroon">I</font> is <a href="amistd_2.html#V10">IC-good</a>
 <b>by </b><i><a class="ref" href="scmfsa10.html#T27" target="_self">Th27</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="126_1_1_1_1_7"><b>suppose </b></a><a NAME="E1:126_1_1_1_1_7"/>
 ex <font color="Olive">i1</font> being  <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a>  st <font color="Maroon">I</font> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K13">goto</a> <font color="Olive">i1</font>
 ;<br/><div class="add"><b>then consider </b><font color="Maroon">i1</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="E3:126_1_1_1_1_7"/><i><font color="Green">E104</font></i>: 
<font color="Maroon">I</font> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K13">goto</a> <font color="Maroon">i1</font>
 ;<br/><b>let </b><font color="Maroon">k</font> be  <a href="ordinal1.html#V7">natural</a>  <a href="ordinal1.html#NM1" target="_self">number</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="amistd_2.html#D17">AMISTD_2:def 17</a><br/><b>let </b><font color="Maroon">s1</font> be   <a href="ami_1.html#NM4">State</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> , <font color="Maroon">s2</font> be   <a href="ami_1.html#NM4">State</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> ;<br/><b>assume </b><a NAME="E4:126_1_1_1_1_7"/>
<font color="Maroon">s2</font> <a href="hidden.html#R1">=</a> <font color="Maroon">s1</font> <a href="funct_4.html#K1">+*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> <a href="cqc_lang.html#K3">.--&gt;</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s1</font></span>)</span> <a href="amistd_1.html#K8">+</a> <font color="Maroon">k</font></span>)</span></span>)</span>
 ;<br/><i><font color="Green">E105</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">I</font>,<font color="Maroon">s1</font></span>)</span> = 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">I</font>,<font color="Maroon">s1</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">i1</font>
<b>by </b><i><a class="ref" href="scmfsa10.html#T27" target="_self">Th27</a>, <a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</a></i>
;<br/><b>thus </b><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> <font color="Maroon">I</font>,<font color="Maroon">s1</font></span>)</span></span>)</span> <a href="amistd_1.html#K8">+</a> <font color="Maroon">k</font> = 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K13">goto</a> <span class="p3">(<span class="default"><a href="amistd_1.html#K5">il.</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> ,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <font color="Maroon">i1</font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span>,<font color="Maroon">s2</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="scmfsa10.html#T28" target="_self">Th28</a>, <a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</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> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K13">goto</a> <span class="p3">(<span class="default"><a href="amistd_1.html#K5">il.</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> ,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <font color="Maroon">i1</font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span>,<font color="Maroon">s2</font></span>)</span>
<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"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K8">IncAddr</a> <font color="Maroon">I</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s2</font></span>)</span>
<b>by </b><i><a class="ref" href="scmfsa10.html#T27" target="_self">Th27</a>, <a class="ref" href="scmfsa10.html#T24" target="_self">Th24</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="126_1_1_1_1_8"><b>suppose </b></a><a NAME="E1:126_1_1_1_1_8"/>
 ex <font color="Olive">i1</font> being  <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a>  ex <font color="Olive">a</font> being   <a href="scmfsa_2.html#M1">Int-Location</a>  st <font color="Maroon">I</font> <a href="hidden.html#R1">=</a> <font color="Olive">a</font> <a href="scmfsa_2.html#K14">=0_goto</a> <font color="Olive">i1</font>
 ;<br/><div class="add"><b>then consider </b><font color="Maroon">a</font> being    <a href="scmfsa_2.html#M1">Int-Location</a> , <font color="Maroon">i1</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="E3:126_1_1_1_1_8"/><i><font color="Green">E119</font></i>: 
<font color="Maroon">I</font> <a href="hidden.html#R1">=</a> <font color="Maroon">a</font> <a href="scmfsa_2.html#K14">=0_goto</a> <font color="Maroon">i1</font>
 ;<br/><b>let </b><font color="Maroon">k</font> be  <a href="ordinal1.html#V7">natural</a>  <a href="ordinal1.html#NM1" target="_self">number</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="amistd_2.html#D17">AMISTD_2:def 17</a><br/><b>let </b><font color="Maroon">s1</font> be   <a href="ami_1.html#NM4">State</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> , <font color="Maroon">s2</font> be   <a href="ami_1.html#NM4">State</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> ;<br/><b>assume </b><a NAME="E4:126_1_1_1_1_8"/><i><font color="Green">E130</font></i>: 
<font color="Maroon">s2</font> <a href="hidden.html#R1">=</a> <font color="Maroon">s1</font> <a href="funct_4.html#K1">+*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> <a href="cqc_lang.html#K3">.--&gt;</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s1</font></span>)</span> <a href="amistd_1.html#K8">+</a> <font color="Maroon">k</font></span>)</span></span>)</span>
 ;<br/><a NAME="E5:126_1_1_1_1_8"/><i><font color="Green">E166</font></i>: 
<font color="Maroon">a</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> 
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T81">SCMFSA_2:81</a></i>;<br/><a NAME="E6:126_1_1_1_1_8"/>
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> <a href="cqc_lang.html#K3">.--&gt;</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s1</font></span>)</span> <a href="amistd_1.html#K8">+</a> <font color="Maroon">k</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span></span><a href="tarski.html#K1">}</a></span>
 <b>by </b><i><a class="ref" href="cqc_lang.html#T5">CQC_LANG:5</a></i>;<br/><a NAME="E7:126_1_1_1_1_8"/><b>then </b>
not <font color="Maroon">a</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> <a href="cqc_lang.html#K3">.--&gt;</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s1</font></span>)</span> <a href="amistd_1.html#K8">+</a> <font color="Maroon">k</font></span>)</span></span>)</span>
 <b>by </b><i><a class="ref" href="scmfsa10.html#T29" target="_self">Th29</a>, <a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/><a NAME="E8:126_1_1_1_1_8"/><b>then </b><i><font color="Green">E167</font></i>: 
<font color="Maroon">s1</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font> <a href="hidden.html#R1">=</a> <font color="Maroon">s2</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font>
 <b>by </b><i><a class="ref" href="scmfsa10.html#T28" target="_self">Th28</a>, <a class="ref" href="funct_4.html#T12">FUNCT_4:12</a></i>;<br/><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="126_1_1_1_1_8_1"><b>now </b></a><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="126_1_1_1_1_8_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:126_1_1_1_1_8_1_1"/>
( <font color="Maroon">s1</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font> <a href="hidden.html#R1">=</a> 0 or <font color="Maroon">s1</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</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="126_1_1_1_1_8_1_1_1"><b>suppose </b></a><a NAME="E1:126_1_1_1_1_8_1_1_1"/><i><font color="Green">E168</font></i>: 
<font color="Maroon">s1</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font> <a href="hidden.html#R1">=</a> 0
 ;<br/><div class="add"><i><font color="Green">E169</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">I</font>,<font color="Maroon">s1</font></span>)</span> = 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">I</font>,<font color="Maroon">s1</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">i1</font>
<b>by </b><i><a class="ref" href="scmfsa10.html#T27" target="_self">Th27</a>, <a class="ref" href="scmfsa10.html#T31" target="_self">Th31</a>, <a class="ref" href="scmfsa_2.html#T96">SCMFSA_2:96</a></i>
;<br/><b>thus </b><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> <font color="Maroon">I</font>,<font color="Maroon">s1</font></span>)</span></span>)</span> <a href="amistd_1.html#K8">+</a> <font color="Maroon">k</font> = 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><font color="Maroon">a</font> <a href="scmfsa_2.html#K14">=0_goto</a> <span class="p3">(<span class="default"><a href="amistd_1.html#K5">il.</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> ,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <font color="Maroon">i1</font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span>,<font color="Maroon">s2</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="scmfsa10.html#T30" target="_self">Th30</a>, <a class="ref" href="scmfsa10.html#T31" target="_self">Th31</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> <span class="p2">(<span class="default"><font color="Maroon">a</font> <a href="scmfsa_2.html#K14">=0_goto</a> <span class="p3">(<span class="default"><a href="amistd_1.html#K5">il.</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> ,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <font color="Maroon">i1</font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span>,<font color="Maroon">s2</font></span>)</span>
<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"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K8">IncAddr</a> <font color="Maroon">I</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s2</font></span>)</span>
<b>by </b><i><a class="ref" href="scmfsa10.html#T27" target="_self">Th27</a>, <a class="ref" href="scmfsa10.html#T25" target="_self">Th25</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="126_1_1_1_1_8_1_1_2"><b>suppose </b></a><a NAME="E1:126_1_1_1_1_8_1_1_2"/><i><font color="Green">E170</font></i>: 
<font color="Maroon">s1</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0
 ;<br/><div class="add"><a NAME="E2:126_1_1_1_1_8_1_1_2"/>
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> <a href="cqc_lang.html#K3">.--&gt;</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s1</font></span>)</span> <a href="amistd_1.html#K8">+</a> <font color="Maroon">k</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span></span><a href="tarski.html#K1">}</a></span>
 <b>by </b><i><a class="ref" href="cqc_lang.html#T5">CQC_LANG:5</a></i>;<br/><a NAME="E3:126_1_1_1_1_8_1_1_2"/><b>then </b><i><font color="Green">E171</font></i>: 
 <a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a>  <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> <a href="cqc_lang.html#K3">.--&gt;</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s1</font></span>)</span> <a href="amistd_1.html#K8">+</a> <font color="Maroon">k</font></span>)</span></span>)</span>
 <b>by </b><i><a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/><i><font color="Green">E172</font></i>:  <a href="ami_1.html#K6">IC</a> <font color="Maroon">s2</font> = 
<font color="Maroon">s2</font> <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/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> <a href="cqc_lang.html#K3">.--&gt;</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s1</font></span>)</span> <a href="amistd_1.html#K8">+</a> <font color="Maroon">k</font></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="scmfsa10.html#T28" target="_self">Th28</a>, , <a class="ref" href="funct_4.html#T14">FUNCT_4:14</a></i>
<br/>.= 
 <a href="amistd_1.html#K5">il.</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> ,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">k</font></span>)</span>
<b>by </b><i><a class="ref" href="cqc_lang.html#T6">CQC_LANG:6</a></i>
;<br/><i><font color="Green">E173</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">I</font>,<font color="Maroon">s2</font></span>)</span> = 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">I</font>,<font color="Maroon">s2</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/>.= 
 <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">s2</font></span>)</span>
<b>by </b><i><a class="ref" href="scmfsa10.html#T27" target="_self">Th27</a>, <a class="ref" href="scmfsa10.html#T30" target="_self">Th30</a>, <a class="ref" href="scmfsa10.html#T31" target="_self">Th31</a>, <a class="ref" href="scmfsa_2.html#T96">SCMFSA_2:96</a></i>
<br/>.= 
 <a href="amistd_1.html#K9">NextLoc</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s2</font></span>)</span>
<b>by </b><i><a class="ref" href="scmfsa10.html#T23" target="_self">Th23</a></i>
<br/>.= 
 <a href="amistd_1.html#K5">il.</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> ,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">k</font></span>)</span> <a href="xcmplx_0.html#K2">+</a> 1</span>)</span>
<b>by </b><i>, <a class="ref" href="amistd_1.html#D13">AMISTD_1:def 13</a></i>
<br/>.= 
 <a href="amistd_1.html#K5">il.</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> ,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">k</font></span>)</span>

;<br/><i><font color="Green">E184</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">I</font>,<font color="Maroon">s1</font></span>)</span> = 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">I</font>,<font color="Maroon">s1</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/>.= 
 <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">s1</font></span>)</span>
<b>by </b><i><a class="ref" href="scmfsa10.html#T27" target="_self">Th27</a>, <a class="ref" href="scmfsa10.html#T31" target="_self">Th31</a>, <a class="ref" href="scmfsa_2.html#T96">SCMFSA_2:96</a></i>
<br/>.= 
 <a href="amistd_1.html#K9">NextLoc</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s1</font></span>)</span>
<b>by </b><i><a class="ref" href="scmfsa10.html#T23" target="_self">Th23</a></i>
<br/>.= 
 <a href="amistd_1.html#K5">il.</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> ,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span>

;<br/><b>thus </b><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> <font color="Maroon">I</font>,<font color="Maroon">s1</font></span>)</span></span>)</span> <a href="amistd_1.html#K8">+</a> <font color="Maroon">k</font> = 
 <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">I</font>,<font color="Maroon">s2</font></span>)</span>
<b>by </b><i>, , <a class="ref" href="amistd_1.html#D13">AMISTD_1:def 13</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">I</font>,<font color="Maroon">s2</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/>.= 
 <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">s2</font></span>)</span>
<b>by </b><i><a class="ref" href="scmfsa10.html#T27" target="_self">Th27</a>, <a class="ref" href="scmfsa10.html#T30" target="_self">Th30</a>, <a class="ref" href="scmfsa10.html#T31" target="_self">Th31</a>, <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#K4">Exec</a> <span class="p2">(<span class="default"><font color="Maroon">a</font> <a href="scmfsa_2.html#K14">=0_goto</a> <span class="p3">(<span class="default"><a href="amistd_1.html#K5">il.</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> ,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <font color="Maroon">i1</font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span>,<font color="Maroon">s2</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="scmfsa10.html#T30" target="_self">Th30</a>, <a class="ref" href="scmfsa10.html#T31" target="_self">Th31</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> <span class="p2">(<span class="default"><font color="Maroon">a</font> <a href="scmfsa_2.html#K14">=0_goto</a> <span class="p3">(<span class="default"><a href="amistd_1.html#K5">il.</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> ,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <font color="Maroon">i1</font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span>,<font color="Maroon">s2</font></span>)</span>
<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"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K8">IncAddr</a> <font color="Maroon">I</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s2</font></span>)</span>
<b>by </b><i><a class="ref" href="scmfsa10.html#T27" target="_self">Th27</a>, <a class="ref" href="scmfsa10.html#T25" target="_self">Th25</a></i>
;<br/></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div><b>hence </b><a NAME="E10:126_1_1_1_1_8"/>
<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> <font color="Maroon">I</font>,<font color="Maroon">s1</font></span>)</span></span>)</span> <a href="amistd_1.html#K8">+</a> <font color="Maroon">k</font> <a href="hidden.html#R1">=</a>  <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="amistd_2.html#K8">IncAddr</a> <font color="Maroon">I</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s2</font></span>)</span>
 ;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="126_1_1_1_1_9"><b>suppose </b></a><a NAME="E1:126_1_1_1_1_9"/>
 ex <font color="Olive">i1</font> being  <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a>  ex <font color="Olive">a</font> being   <a href="scmfsa_2.html#M1">Int-Location</a>  st <font color="Maroon">I</font> <a href="hidden.html#R1">=</a> <font color="Olive">a</font> <a href="scmfsa_2.html#K15">&gt;0_goto</a> <font color="Olive">i1</font>
 ;<br/><div class="add"><b>then consider </b><font color="Maroon">a</font> being    <a href="scmfsa_2.html#M1">Int-Location</a> , <font color="Maroon">i1</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="E3:126_1_1_1_1_9"/><i><font color="Green">E185</font></i>: 
<font color="Maroon">I</font> <a href="hidden.html#R1">=</a> <font color="Maroon">a</font> <a href="scmfsa_2.html#K15">&gt;0_goto</a> <font color="Maroon">i1</font>
 ;<br/><b>let </b><font color="Maroon">k</font> be  <a href="ordinal1.html#V7">natural</a>  <a href="ordinal1.html#NM1" target="_self">number</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="amistd_2.html#D17">AMISTD_2:def 17</a><br/><b>let </b><font color="Maroon">s1</font> be   <a href="ami_1.html#NM4">State</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> , <font color="Maroon">s2</font> be   <a href="ami_1.html#NM4">State</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> ;<br/><b>assume </b><a NAME="E4:126_1_1_1_1_9"/><i><font color="Green">E200</font></i>: 
<font color="Maroon">s2</font> <a href="hidden.html#R1">=</a> <font color="Maroon">s1</font> <a href="funct_4.html#K1">+*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> <a href="cqc_lang.html#K3">.--&gt;</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s1</font></span>)</span> <a href="amistd_1.html#K8">+</a> <font color="Maroon">k</font></span>)</span></span>)</span>
 ;<br/><a NAME="E5:126_1_1_1_1_9"/><i><font color="Green">E201</font></i>: 
<font color="Maroon">a</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> 
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T81">SCMFSA_2:81</a></i>;<br/><a NAME="E6:126_1_1_1_1_9"/>
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> <a href="cqc_lang.html#K3">.--&gt;</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s1</font></span>)</span> <a href="amistd_1.html#K8">+</a> <font color="Maroon">k</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span></span><a href="tarski.html#K1">}</a></span>
 <b>by </b><i><a class="ref" href="cqc_lang.html#T5">CQC_LANG:5</a></i>;<br/><a NAME="E7:126_1_1_1_1_9"/><b>then </b>
not <font color="Maroon">a</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> <a href="cqc_lang.html#K3">.--&gt;</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s1</font></span>)</span> <a href="amistd_1.html#K8">+</a> <font color="Maroon">k</font></span>)</span></span>)</span>
 <b>by </b><i><a class="ref" href="scmfsa10.html#T29" target="_self">Th29</a>, <a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/><a NAME="E8:126_1_1_1_1_9"/><b>then </b><i><font color="Green">E202</font></i>: 
<font color="Maroon">s1</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font> <a href="hidden.html#R1">=</a> <font color="Maroon">s2</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font>
 <b>by </b><i><a class="ref" href="scmfsa10.html#T28" target="_self">Th28</a>, <a class="ref" href="funct_4.html#T12">FUNCT_4:12</a></i>;<br/><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="126_1_1_1_1_9_1"><b>now </b></a><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="126_1_1_1_1_9_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:126_1_1_1_1_9_1_1"/>
( <font color="Maroon">s1</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0 or <font color="Maroon">s1</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</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="126_1_1_1_1_9_1_1_1"><b>suppose </b></a><a NAME="E1:126_1_1_1_1_9_1_1_1"/><i><font color="Green">E203</font></i>: 
<font color="Maroon">s1</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0
 ;<br/><div class="add"><i><font color="Green">E204</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">I</font>,<font color="Maroon">s1</font></span>)</span> = 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">I</font>,<font color="Maroon">s1</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">i1</font>
<b>by </b><i><a class="ref" href="scmfsa10.html#T27" target="_self">Th27</a>, <a class="ref" href="scmfsa10.html#T31" target="_self">Th31</a>, <a class="ref" href="scmfsa_2.html#T97">SCMFSA_2:97</a></i>
;<br/><b>thus </b><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> <font color="Maroon">I</font>,<font color="Maroon">s1</font></span>)</span></span>)</span> <a href="amistd_1.html#K8">+</a> <font color="Maroon">k</font> = 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><font color="Maroon">a</font> <a href="scmfsa_2.html#K15">&gt;0_goto</a> <span class="p3">(<span class="default"><a href="amistd_1.html#K5">il.</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> ,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <font color="Maroon">i1</font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span>,<font color="Maroon">s2</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="scmfsa10.html#T30" target="_self">Th30</a>, <a class="ref" href="scmfsa10.html#T31" target="_self">Th31</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> <span class="p2">(<span class="default"><font color="Maroon">a</font> <a href="scmfsa_2.html#K15">&gt;0_goto</a> <span class="p3">(<span class="default"><a href="amistd_1.html#K5">il.</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> ,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <font color="Maroon">i1</font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span>,<font color="Maroon">s2</font></span>)</span>
<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"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K8">IncAddr</a> <font color="Maroon">I</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s2</font></span>)</span>
<b>by </b><i><a class="ref" href="scmfsa10.html#T27" target="_self">Th27</a>, <a class="ref" href="scmfsa10.html#T26" target="_self">Th26</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="126_1_1_1_1_9_1_1_2"><b>suppose </b></a><a NAME="E1:126_1_1_1_1_9_1_1_2"/><i><font color="Green">E205</font></i>: 
<font color="Maroon">s1</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font> <a href="xxreal_0.html#R1">&lt;=</a> 0
 ;<br/><div class="add"><a NAME="E2:126_1_1_1_1_9_1_1_2"/>
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> <a href="cqc_lang.html#K3">.--&gt;</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s1</font></span>)</span> <a href="amistd_1.html#K8">+</a> <font color="Maroon">k</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span></span><a href="tarski.html#K1">}</a></span>
 <b>by </b><i><a class="ref" href="cqc_lang.html#T5">CQC_LANG:5</a></i>;<br/><a NAME="E3:126_1_1_1_1_9_1_1_2"/><b>then </b><i><font color="Green">E206</font></i>: 
 <a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a>  <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> <a href="cqc_lang.html#K3">.--&gt;</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s1</font></span>)</span> <a href="amistd_1.html#K8">+</a> <font color="Maroon">k</font></span>)</span></span>)</span>
 <b>by </b><i><a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/><i><font color="Green">E207</font></i>:  <a href="ami_1.html#K6">IC</a> <font color="Maroon">s2</font> = 
<font color="Maroon">s2</font> <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/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> <a href="cqc_lang.html#K3">.--&gt;</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s1</font></span>)</span> <a href="amistd_1.html#K8">+</a> <font color="Maroon">k</font></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="scmfsa10.html#T28" target="_self">Th28</a>, , <a class="ref" href="funct_4.html#T14">FUNCT_4:14</a></i>
<br/>.= 
 <a href="amistd_1.html#K5">il.</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> ,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">k</font></span>)</span>
<b>by </b><i><a class="ref" href="cqc_lang.html#T6">CQC_LANG:6</a></i>
;<br/><i><font color="Green">E208</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">I</font>,<font color="Maroon">s2</font></span>)</span> = 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">I</font>,<font color="Maroon">s2</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/>.= 
 <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">s2</font></span>)</span>
<b>by </b><i><a class="ref" href="scmfsa10.html#T27" target="_self">Th27</a>, <a class="ref" href="scmfsa10.html#T30" target="_self">Th30</a>, <a class="ref" href="scmfsa10.html#T31" target="_self">Th31</a>, <a class="ref" href="scmfsa_2.html#T97">SCMFSA_2:97</a></i>
<br/>.= 
 <a href="amistd_1.html#K9">NextLoc</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s2</font></span>)</span>
<b>by </b><i><a class="ref" href="scmfsa10.html#T23" target="_self">Th23</a></i>
<br/>.= 
 <a href="amistd_1.html#K5">il.</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> ,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">k</font></span>)</span> <a href="xcmplx_0.html#K2">+</a> 1</span>)</span>
<b>by </b><i>, <a class="ref" href="amistd_1.html#D13">AMISTD_1:def 13</a></i>
<br/>.= 
 <a href="amistd_1.html#K5">il.</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> ,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">k</font></span>)</span>

;<br/><i><font color="Green">E209</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">I</font>,<font color="Maroon">s1</font></span>)</span> = 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">I</font>,<font color="Maroon">s1</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/>.= 
 <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">s1</font></span>)</span>
<b>by </b><i><a class="ref" href="scmfsa10.html#T27" target="_self">Th27</a>, <a class="ref" href="scmfsa10.html#T31" target="_self">Th31</a>, <a class="ref" href="scmfsa_2.html#T97">SCMFSA_2:97</a></i>
<br/>.= 
 <a href="amistd_1.html#K9">NextLoc</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s1</font></span>)</span>
<b>by </b><i><a class="ref" href="scmfsa10.html#T23" target="_self">Th23</a></i>
<br/>.= 
 <a href="amistd_1.html#K5">il.</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> ,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span>

;<br/><b>thus </b><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> <font color="Maroon">I</font>,<font color="Maroon">s1</font></span>)</span></span>)</span> <a href="amistd_1.html#K8">+</a> <font color="Maroon">k</font> = 
 <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">I</font>,<font color="Maroon">s2</font></span>)</span>
<b>by </b><i>, , <a class="ref" href="amistd_1.html#D13">AMISTD_1:def 13</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">I</font>,<font color="Maroon">s2</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/>.= 
 <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">s2</font></span>)</span>
<b>by </b><i><a class="ref" href="scmfsa10.html#T27" target="_self">Th27</a>, <a class="ref" href="scmfsa10.html#T30" target="_self">Th30</a>, <a class="ref" href="scmfsa10.html#T31" target="_self">Th31</a>, <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#K4">Exec</a> <span class="p2">(<span class="default"><font color="Maroon">a</font> <a href="scmfsa_2.html#K15">&gt;0_goto</a> <span class="p3">(<span class="default"><a href="amistd_1.html#K5">il.</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> ,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <font color="Maroon">i1</font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span>,<font color="Maroon">s2</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="scmfsa10.html#T30" target="_self">Th30</a>, <a class="ref" href="scmfsa10.html#T31" target="_self">Th31</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> <span class="p2">(<span class="default"><font color="Maroon">a</font> <a href="scmfsa_2.html#K15">&gt;0_goto</a> <span class="p3">(<span class="default"><a href="amistd_1.html#K5">il.</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> ,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <font color="Maroon">i1</font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">k</font></span>)</span></span>)</span></span>)</span>,<font color="Maroon">s2</font></span>)</span>
<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"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K8">IncAddr</a> <font color="Maroon">I</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s2</font></span>)</span>
<b>by </b><i><a class="ref" href="scmfsa10.html#T27" target="_self">Th27</a>, <a class="ref" href="scmfsa10.html#T26" target="_self">Th26</a></i>
;<br/></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div><b>hence </b><a NAME="E10:126_1_1_1_1_9"/>
<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> <font color="Maroon">I</font>,<font color="Maroon">s1</font></span>)</span></span>)</span> <a href="amistd_1.html#K8">+</a> <font color="Maroon">k</font> <a href="hidden.html#R1">=</a>  <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="amistd_2.html#K8">IncAddr</a> <font color="Maroon">I</font>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">s2</font></span>)</span>
 ;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="126_1_1_1_1_10"><b>suppose </b></a><a NAME="E1:126_1_1_1_1_10"/>
 ex <font color="Olive">a</font>, <font color="Olive">b</font> being   <a href="scmfsa_2.html#M1">Int-Location</a>  ex <font color="Olive">f</font> being   <a href="scmfsa_2.html#M2">FinSeq-Location</a>  st <font color="Maroon">I</font> <a href="hidden.html#R1">=</a> <font color="Olive">b</font> <a href="scmfsa_2.html#K16">:=</a> <font color="Olive">f</font>,<font color="Olive">a</font>
 ;<br/><div class="add"><b>then consider </b><font color="Maroon">a</font> being    <a href="scmfsa_2.html#M1">Int-Location</a> , <font color="Maroon">b</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="E3:126_1_1_1_1_10"/><i><font color="Green">E210</font></i>: 
<font color="Maroon">I</font> <a href="hidden.html#R1">=</a> <font color="Maroon">b</font> <a href="scmfsa_2.html#K16">:=</a> <font color="Maroon">f</font>,<font color="Maroon">a</font>
 ;<br/><b>thus </b><a NAME="E4:126_1_1_1_1_10"/>
<font color="Maroon">I</font> is <a href="amistd_2.html#V10">IC-good</a>
 <b>by </b><i><a class="ref" href="scmfsa10.html#T27" target="_self">Th27</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="126_1_1_1_1_11"><b>suppose </b></a><a NAME="E1:126_1_1_1_1_11"/>
 ex <font color="Olive">a</font>, <font color="Olive">b</font> being   <a href="scmfsa_2.html#M1">Int-Location</a>  ex <font color="Olive">f</font> being   <a href="scmfsa_2.html#M2">FinSeq-Location</a>  st <font color="Maroon">I</font> <a href="hidden.html#R1">=</a> <font color="Olive">f</font>,<font color="Olive">a</font> <a href="scmfsa_2.html#K17">:=</a> <font color="Olive">b</font>
 ;<br/><div class="add"><b>then consider </b><font color="Maroon">a</font> being    <a href="scmfsa_2.html#M1">Int-Location</a> , <font color="Maroon">b</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="E3:126_1_1_1_1_11"/><i><font color="Green">E215</font></i>: 
<font color="Maroon">I</font> <a href="hidden.html#R1">=</a> <font color="Maroon">f</font>,<font color="Maroon">a</font> <a href="scmfsa_2.html#K17">:=</a> <font color="Maroon">b</font>
 ;<br/><b>thus </b><a NAME="E4:126_1_1_1_1_11"/>
<font color="Maroon">I</font> is <a href="amistd_2.html#V10">IC-good</a>
 <b>by </b><i><a class="ref" href="scmfsa10.html#T27" target="_self">Th27</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="126_1_1_1_1_12"><b>suppose </b></a><a NAME="E1:126_1_1_1_1_12"/>
 ex <font color="Olive">a</font> being   <a href="scmfsa_2.html#M1">Int-Location</a>  ex <font color="Olive">f</font> being   <a href="scmfsa_2.html#M2">FinSeq-Location</a>  st <font color="Maroon">I</font> <a href="hidden.html#R1">=</a> <font color="Olive">a</font> <a href="scmfsa_2.html#K18">:=len</a> <font color="Olive">f</font>
 ;<br/><div class="add"><b>then consider </b><font color="Maroon">a</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="E3:126_1_1_1_1_12"/><i><font color="Green">E216</font></i>: 
<font color="Maroon">I</font> <a href="hidden.html#R1">=</a> <font color="Maroon">a</font> <a href="scmfsa_2.html#K18">:=len</a> <font color="Maroon">f</font>
 ;<br/><b>thus </b><a NAME="E4:126_1_1_1_1_12"/>
<font color="Maroon">I</font> is <a href="amistd_2.html#V10">IC-good</a>
 <b>by </b><i><a class="ref" href="scmfsa10.html#T27" target="_self">Th27</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="126_1_1_1_1_13"><b>suppose </b></a><a NAME="E1:126_1_1_1_1_13"/>
 ex <font color="Olive">a</font> being   <a href="scmfsa_2.html#M1">Int-Location</a>  ex <font color="Olive">f</font> being   <a href="scmfsa_2.html#M2">FinSeq-Location</a>  st <font color="Maroon">I</font> <a href="hidden.html#R1">=</a> <font color="Olive">f</font> <a href="scmfsa_2.html#K19">:=&lt;0,...,0&gt;</a> <font color="Olive">a</font>
 ;<br/><div class="add"><b>then consider </b><font color="Maroon">a</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="E3:126_1_1_1_1_13"/><i><font color="Green">E217</font></i>: 
<font color="Maroon">I</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">a</font>
 ;<br/><b>thus </b><a NAME="E4:126_1_1_1_1_13"/>
<font color="Maroon">I</font> is <a href="amistd_2.html#V10">IC-good</a>
 <b>by </b><i><a class="ref" href="scmfsa10.html#T27" target="_self">Th27</a></i>;<br/></div><b>end;</b></div></div><b>end;</b></div>

</div><b>end;</b></div>

<b>let </b><font color="Maroon">I</font> be   <a href="ami_1.html#NM3">Instruction</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="amistd_2.html#D20">AMISTD_2:def 20</a><br/><b>let </b><font color="Maroon">s1</font> be   <a href="ami_1.html#NM4">State</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> , <font color="Maroon">s2</font> be   <a href="ami_1.html#NM4">State</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="amistd_2.html#D19">AMISTD_2:def 19</a><br/>



<b>assume </b><a NAME="E2:126_1_1"/>
<font color="Maroon">s1</font>,<font color="Maroon">s2</font> <a href="funct_7.html#R1">equal_outside</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> 
 ;<br/>

<b>hence </b><a NAME="E3:126_1_1"/>
 <a href="ami_1.html#K4">Exec</a> <font color="Maroon">I</font>,<font color="Maroon">s1</font>, <a href="ami_1.html#K4">Exec</a> <font color="Maroon">I</font>,<font color="Maroon">s2</font> <a href="funct_7.html#R1">equal_outside</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> 
 <b>by </b><i><a class="ref" href="scmfsa6a.html#T32">SCMFSA6A:32</a></i>;<br/>


</div>
