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

<b>let </b><font color="Maroon" title="c3">s1</font>, <font color="Maroon" title="c4">s2</font> be   <a href="ami_1.html#NM5" title="AMI_1:NM.5">State</a> of <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> ;<br/><b>let </b><font color="Maroon" title="c5">i</font> be   <a href="ami_1.html#NM4" title="AMI_1:NM.4">Instruction</a> of <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> ;<br/><b>let </b><font color="Maroon" title="c6">a</font> be    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> ;<br/>





<b>defpred </b><font color="Maroon">S<sub>1</sub></font>[  <a href="ami_1.html#NM5" title="AMI_1:NM.5">State</a> of <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> ,  <a href="ami_1.html#NM5" title="AMI_1:NM.5">State</a> of <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> ] <b>means </b>( ( for <font color="Olive" title="b1">b</font> being   <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a>   st <font color="Maroon" title="c6">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b1">b</font> holds <br/>$1 <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Olive" title="b1">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> $2 <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Olive" title="b1">b</font> ) &amp; ( for <font color="Olive" title="b1">f</font> being   <a href="scmfsa_2.html#M2" title="SCMFSA_2:mode.2">FinSeq-Location</a>  holds  $1 <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Olive" title="b1">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> $2 <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Olive" title="b1">f</font> ) );<br/>
<b>assume </b><a NAME="E1:45"/><i><font color="Green" title="E36">A1</font></i>: 
<font color="Maroon">S<sub>1</sub></font>[<font color="Maroon" title="c3">s1</font>,<font color="Maroon" title="c4">s2</font>]
 ;<br/>

<b>assume </b><a NAME="E2:45"/><i><font color="Green" title="E37">A2</font></i>: 
<font color="Maroon" title="c5">i</font> <a href="scmfsa7b.html#R1" title="SCMFSA7B:pred.1">does_not_refer</a> <font color="Maroon" title="c6">a</font>
 ;<br/>

<b>assume </b><a NAME="E3:45"/><i><font color="Green" title="E38">A3</font></i>: 
 <a href="ami_1.html#K7" title="AMI_1:func.7">IC</a> <font color="Maroon" title="c3">s1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K7" title="AMI_1:func.7">IC</a> <font color="Maroon" title="c4">s2</font>
 ;<br/>

<a NAME="E4:45"/><i><font color="Green" title="E39">A4</font></i>: 
 <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> 11 <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 1
 
<b>by </b><i><a class="ref" href="scmfsa_2.html#T35" title="SCMFSA_2:th.35">SCMFSA_2:35</a></i>;<br/>
<a NAME="E5:45"/><i><font color="Green" title="E40">A5</font></i>: 
(  not  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> 10 <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 1 or  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> 10 or  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 11 )
 
<b>by </b><i><a class="ref" href="nat_1.html#T8" title="NAT_1:th.8">NAT_1:8</a></i>;<br/>
<a NAME="E6:45"/><i><font color="Green" title="E41">A6</font></i>: 
(  not  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> 9 <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 1 or  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> 8 <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 1 or  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 10 )
 
<b>by </b><i><a class="ref" href="nat_1.html#T8" title="NAT_1:th.8">NAT_1:8</a></i>;<br/>
<div><i><font color="Green" title="E42">A7</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="45_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon" title="c7">b</font> be    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> ;<br/><b>assume </b><a NAME="E1:45_1"/><i><font color="Green" title="E43">A8</font></i>: 
<font color="Maroon" title="c6">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c7">b</font>
 ;<br/><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:45_1_1"/>
(  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 or  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2 or  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 3 or  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 4 or  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 5 or  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 6 or  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 7 or  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 8 or  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 9 or  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 10 or  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 11 or  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 12 )
 </span><b>by </b><i><a class="txt" href="scmfsa8b.html#E4:45"><i><font color="Green" title="E39">A4</font></i></a>, <a class="txt" href="scmfsa8b.html#E5:45"><i><font color="Green" title="E40">A5</font></i></a>, <a class="txt" href="scmfsa8b.html#E6:45"><i><font color="Green" title="E41">A6</font></i></a>, <a class="ref" href="nat_1.html#T8" title="NAT_1:th.8">NAT_1:8</a>, <a class="ref" href="nat_1.html#T33" title="NAT_1:th.33">NAT_1:33</a></i>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_1_1_1"><b>suppose </b></a><a NAME="E1:45_1_1_1"/>
 <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 ;<br/><div class="add"><a NAME="E2:45_1_1_1"/><b>then </b><i><font color="Green" title="E44">A9</font></i>: 
<font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K5" title="AMI_1:func.5">halt</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> 
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T122" title="SCMFSA_2:th.122">SCMFSA_2:122</a></i>;<br/><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font> = 
<font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="ref" href="ami_1.html#D8" title="AMI_1:def.8">AMI_1:def 8</a></i>
<br/>.= 
<font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45"><i><font color="Green" title="E36">A1</font></i></a>, <a class="txt" href="scmfsa8b.html#E1:45_1"><i><font color="Green" title="E43">A8</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E2:45_1_1_1"><i><font color="Green" title="E44">A9</font></i></a>, <a class="ref" href="ami_1.html#D8" title="AMI_1:def.8">AMI_1:def 8</a></i>
;<br/><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_1_1_2"><b>suppose </b></a><a NAME="E1:45_1_1_2"/>
 <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c8">da</font>, <font color="Maroon" title="c9">db</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> <b> such that </b><br/><a NAME="E3:45_1_1_2"/><i><font color="Green" title="E44">A10</font></i>: 
<font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">da</font> <a href="scmfsa_2.html#K7" title="SCMFSA_2:func.7">:=</a> <font color="Maroon" title="c9">db</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T54" title="SCMFSA_2:th.54">SCMFSA_2:54</a></i>;<br/><a NAME="E4:45_1_1_2"/><i><font color="Green" title="E45">A11</font></i>: 
<font color="Maroon" title="c6">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c9">db</font>
 <b>by </b><i><a class="txt" href="scmfsa8b.html#E2:45"><i><font color="Green" title="E37">A2</font></i></a>, <a class="txt" href="scmfsa8b.html#E3:45_1_1_2"><i><font color="Green" title="E44">A10</font></i></a>, <a class="ref" href="scmfsa7b.html#D1" title="SCMFSA7B:def.1">SCMFSA7B:def 1</a></i>;<br/><div><b>hereby </b>
<div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_1_1_2_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:45_1_1_2_1_1"/>
( <font color="Maroon" title="c7">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">da</font> or <font color="Maroon" title="c7">b</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c8">da</font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_1_1_2_1_1_1"><b>suppose </b></a><a NAME="E1:45_1_1_2_1_1_1"/><i><font color="Green" title="E46">A12</font></i>: 
<font color="Maroon" title="c7">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">da</font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font> = 
<font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c9">db</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_1_1_2"><i><font color="Green" title="E44">A10</font></i></a>, <a class="ref" href="scmfsa_2.html#T89" title="SCMFSA_2:th.89">SCMFSA_2:89</a></i>
<br/>.= 
<font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c9">db</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45"><i><font color="Green" title="E36">A1</font></i></a>, <a class="txt" href="scmfsa8b.html#E4:45_1_1_2"><i><font color="Green" title="E45">A11</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_1_1_2"><i><font color="Green" title="E44">A10</font></i></a>, <a class="txt" href="scmfsa8b.html#E1:45_1_1_2_1_1_1"><i><font color="Green" title="E46">A12</font></i></a>, <a class="ref" href="scmfsa_2.html#T89" title="SCMFSA_2:th.89">SCMFSA_2:89</a></i>
;<br/><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_1_1_2_1_1_2"><b>suppose </b></a><a NAME="E1:45_1_1_2_1_1_2"/><i><font color="Green" title="E46">A13</font></i>: 
<font color="Maroon" title="c7">b</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c8">da</font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font> = 
<font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_1_1_2"><i><font color="Green" title="E44">A10</font></i></a>, <a class="ref" href="scmfsa_2.html#T89" title="SCMFSA_2:th.89">SCMFSA_2:89</a></i>
<br/>.= 
<font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45"><i><font color="Green" title="E36">A1</font></i></a>, <a class="txt" href="scmfsa8b.html#E1:45_1"><i><font color="Green" title="E43">A8</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_1_1_2"><i><font color="Green" title="E44">A10</font></i></a>, <a class="txt" href="scmfsa8b.html#E1:45_1_1_2_1_1_2"><i><font color="Green" title="E46">A13</font></i></a>, <a class="ref" href="scmfsa_2.html#T89" title="SCMFSA_2:th.89">SCMFSA_2:89</a></i>
;<br/><br/></div><b>end;</b></div></div><b>end;</b></div></div>
<b>end;</b></div></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_1_1_3"><b>suppose </b></a><a NAME="E1:45_1_1_3"/>
 <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c8">da</font>, <font color="Maroon" title="c9">db</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> <b> such that </b><br/><a NAME="E3:45_1_1_3"/><i><font color="Green" title="E44">A14</font></i>: 
<font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmfsa_2.html#K8" title="SCMFSA_2:func.8">AddTo</a> <font color="Maroon" title="c8">da</font>,<font color="Maroon" title="c9">db</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T55" title="SCMFSA_2:th.55">SCMFSA_2:55</a></i>;<br/><a NAME="E4:45_1_1_3"/><i><font color="Green" title="E45">A15</font></i>: 
<font color="Maroon" title="c6">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c9">db</font>
 <b>by </b><i><a class="txt" href="scmfsa8b.html#E2:45"><i><font color="Green" title="E37">A2</font></i></a>, <a class="txt" href="scmfsa8b.html#E3:45_1_1_3"><i><font color="Green" title="E44">A14</font></i></a>, <a class="ref" href="scmfsa7b.html#D1" title="SCMFSA7B:def.1">SCMFSA7B:def 1</a></i>;<br/><div><b>hereby </b>
<div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_1_1_3_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:45_1_1_3_1_1"/>
( <font color="Maroon" title="c7">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">da</font> or <font color="Maroon" title="c7">b</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c8">da</font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_1_1_3_1_1_1"><b>suppose </b></a><a NAME="E1:45_1_1_3_1_1_1"/><i><font color="Green" title="E46">A16</font></i>: 
<font color="Maroon" title="c7">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">da</font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c9">db</font></span>)</span>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_1_1_3"><i><font color="Green" title="E44">A14</font></i></a>, <a class="ref" href="scmfsa_2.html#T90" title="SCMFSA_2:th.90">SCMFSA_2:90</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c9">db</font></span>)</span>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45"><i><font color="Green" title="E36">A1</font></i></a>, <a class="txt" href="scmfsa8b.html#E1:45_1"><i><font color="Green" title="E43">A8</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c9">db</font></span>)</span>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45"><i><font color="Green" title="E36">A1</font></i></a>, <a class="txt" href="scmfsa8b.html#E4:45_1_1_3"><i><font color="Green" title="E45">A15</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_1_1_3"><i><font color="Green" title="E44">A14</font></i></a>, <a class="txt" href="scmfsa8b.html#E1:45_1_1_3_1_1_1"><i><font color="Green" title="E46">A16</font></i></a>, <a class="ref" href="scmfsa_2.html#T90" title="SCMFSA_2:th.90">SCMFSA_2:90</a></i>
;<br/><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_1_1_3_1_1_2"><b>suppose </b></a><a NAME="E1:45_1_1_3_1_1_2"/><i><font color="Green" title="E46">A17</font></i>: 
<font color="Maroon" title="c7">b</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c8">da</font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font> = 
<font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_1_1_3"><i><font color="Green" title="E44">A14</font></i></a>, <a class="ref" href="scmfsa_2.html#T90" title="SCMFSA_2:th.90">SCMFSA_2:90</a></i>
<br/>.= 
<font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45"><i><font color="Green" title="E36">A1</font></i></a>, <a class="txt" href="scmfsa8b.html#E1:45_1"><i><font color="Green" title="E43">A8</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_1_1_3"><i><font color="Green" title="E44">A14</font></i></a>, <a class="txt" href="scmfsa8b.html#E1:45_1_1_3_1_1_2"><i><font color="Green" title="E46">A17</font></i></a>, <a class="ref" href="scmfsa_2.html#T90" title="SCMFSA_2:th.90">SCMFSA_2:90</a></i>
;<br/><br/></div><b>end;</b></div></div><b>end;</b></div></div>
<b>end;</b></div></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_1_1_4"><b>suppose </b></a><a NAME="E1:45_1_1_4"/>
 <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 3
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c8">da</font>, <font color="Maroon" title="c9">db</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> <b> such that </b><br/><a NAME="E3:45_1_1_4"/><i><font color="Green" title="E44">A18</font></i>: 
<font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmfsa_2.html#K9" title="SCMFSA_2:func.9">SubFrom</a> <font color="Maroon" title="c8">da</font>,<font color="Maroon" title="c9">db</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T56" title="SCMFSA_2:th.56">SCMFSA_2:56</a></i>;<br/><a NAME="E4:45_1_1_4"/><i><font color="Green" title="E45">A19</font></i>: 
<font color="Maroon" title="c6">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c9">db</font>
 <b>by </b><i><a class="txt" href="scmfsa8b.html#E2:45"><i><font color="Green" title="E37">A2</font></i></a>, <a class="txt" href="scmfsa8b.html#E3:45_1_1_4"><i><font color="Green" title="E44">A18</font></i></a>, <a class="ref" href="scmfsa7b.html#D1" title="SCMFSA7B:def.1">SCMFSA7B:def 1</a></i>;<br/><div><b>hereby </b>
<div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_1_1_4_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:45_1_1_4_1_1"/>
( <font color="Maroon" title="c7">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">da</font> or <font color="Maroon" title="c7">b</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c8">da</font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_1_1_4_1_1_1"><b>suppose </b></a><a NAME="E1:45_1_1_4_1_1_1"/><i><font color="Green" title="E46">A20</font></i>: 
<font color="Maroon" title="c7">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">da</font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font></span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c9">db</font></span>)</span>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_1_1_4"><i><font color="Green" title="E44">A18</font></i></a>, <a class="ref" href="scmfsa_2.html#T91" title="SCMFSA_2:th.91">SCMFSA_2:91</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font></span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c9">db</font></span>)</span>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45"><i><font color="Green" title="E36">A1</font></i></a>, <a class="txt" href="scmfsa8b.html#E1:45_1"><i><font color="Green" title="E43">A8</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font></span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c9">db</font></span>)</span>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45"><i><font color="Green" title="E36">A1</font></i></a>, <a class="txt" href="scmfsa8b.html#E4:45_1_1_4"><i><font color="Green" title="E45">A19</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_1_1_4"><i><font color="Green" title="E44">A18</font></i></a>, <a class="txt" href="scmfsa8b.html#E1:45_1_1_4_1_1_1"><i><font color="Green" title="E46">A20</font></i></a>, <a class="ref" href="scmfsa_2.html#T91" title="SCMFSA_2:th.91">SCMFSA_2:91</a></i>
;<br/><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_1_1_4_1_1_2"><b>suppose </b></a><a NAME="E1:45_1_1_4_1_1_2"/><i><font color="Green" title="E46">A21</font></i>: 
<font color="Maroon" title="c7">b</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c8">da</font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font> = 
<font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_1_1_4"><i><font color="Green" title="E44">A18</font></i></a>, <a class="ref" href="scmfsa_2.html#T91" title="SCMFSA_2:th.91">SCMFSA_2:91</a></i>
<br/>.= 
<font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45"><i><font color="Green" title="E36">A1</font></i></a>, <a class="txt" href="scmfsa8b.html#E1:45_1"><i><font color="Green" title="E43">A8</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_1_1_4"><i><font color="Green" title="E44">A18</font></i></a>, <a class="txt" href="scmfsa8b.html#E1:45_1_1_4_1_1_2"><i><font color="Green" title="E46">A21</font></i></a>, <a class="ref" href="scmfsa_2.html#T91" title="SCMFSA_2:th.91">SCMFSA_2:91</a></i>
;<br/><br/></div><b>end;</b></div></div><b>end;</b></div></div>
<b>end;</b></div></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_1_1_5"><b>suppose </b></a><a NAME="E1:45_1_1_5"/>
 <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 4
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c8">da</font>, <font color="Maroon" title="c9">db</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> <b> such that </b><br/><a NAME="E3:45_1_1_5"/><i><font color="Green" title="E44">A22</font></i>: 
<font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmfsa_2.html#K10" title="SCMFSA_2:func.10">MultBy</a> <font color="Maroon" title="c8">da</font>,<font color="Maroon" title="c9">db</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T57" title="SCMFSA_2:th.57">SCMFSA_2:57</a></i>;<br/><a NAME="E4:45_1_1_5"/><i><font color="Green" title="E45">A23</font></i>: 
<font color="Maroon" title="c6">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c9">db</font>
 <b>by </b><i><a class="txt" href="scmfsa8b.html#E2:45"><i><font color="Green" title="E37">A2</font></i></a>, <a class="txt" href="scmfsa8b.html#E3:45_1_1_5"><i><font color="Green" title="E44">A22</font></i></a>, <a class="ref" href="scmfsa7b.html#D1" title="SCMFSA7B:def.1">SCMFSA7B:def 1</a></i>;<br/><div><b>hereby </b>
<div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_1_1_5_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:45_1_1_5_1_1"/>
( <font color="Maroon" title="c7">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">da</font> or <font color="Maroon" title="c7">b</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c8">da</font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_1_1_5_1_1_1"><b>suppose </b></a><a NAME="E1:45_1_1_5_1_1_1"/><i><font color="Green" title="E46">A24</font></i>: 
<font color="Maroon" title="c7">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">da</font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font></span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c9">db</font></span>)</span>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_1_1_5"><i><font color="Green" title="E44">A22</font></i></a>, <a class="ref" href="scmfsa_2.html#T92" title="SCMFSA_2:th.92">SCMFSA_2:92</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font></span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c9">db</font></span>)</span>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45"><i><font color="Green" title="E36">A1</font></i></a>, <a class="txt" href="scmfsa8b.html#E1:45_1"><i><font color="Green" title="E43">A8</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font></span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c9">db</font></span>)</span>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45"><i><font color="Green" title="E36">A1</font></i></a>, <a class="txt" href="scmfsa8b.html#E4:45_1_1_5"><i><font color="Green" title="E45">A23</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_1_1_5"><i><font color="Green" title="E44">A22</font></i></a>, <a class="txt" href="scmfsa8b.html#E1:45_1_1_5_1_1_1"><i><font color="Green" title="E46">A24</font></i></a>, <a class="ref" href="scmfsa_2.html#T92" title="SCMFSA_2:th.92">SCMFSA_2:92</a></i>
;<br/><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_1_1_5_1_1_2"><b>suppose </b></a><a NAME="E1:45_1_1_5_1_1_2"/><i><font color="Green" title="E46">A25</font></i>: 
<font color="Maroon" title="c7">b</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c8">da</font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font> = 
<font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_1_1_5"><i><font color="Green" title="E44">A22</font></i></a>, <a class="ref" href="scmfsa_2.html#T92" title="SCMFSA_2:th.92">SCMFSA_2:92</a></i>
<br/>.= 
<font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45"><i><font color="Green" title="E36">A1</font></i></a>, <a class="txt" href="scmfsa8b.html#E1:45_1"><i><font color="Green" title="E43">A8</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_1_1_5"><i><font color="Green" title="E44">A22</font></i></a>, <a class="txt" href="scmfsa8b.html#E1:45_1_1_5_1_1_2"><i><font color="Green" title="E46">A25</font></i></a>, <a class="ref" href="scmfsa_2.html#T92" title="SCMFSA_2:th.92">SCMFSA_2:92</a></i>
;<br/><br/></div><b>end;</b></div></div><b>end;</b></div></div>
<b>end;</b></div></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_1_1_6"><b>suppose </b></a><a NAME="E1:45_1_1_6"/>
 <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 5
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c8">da</font>, <font color="Maroon" title="c9">db</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> <b> such that </b><br/><a NAME="E3:45_1_1_6"/><i><font color="Green" title="E44">A26</font></i>: 
<font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmfsa_2.html#K11" title="SCMFSA_2:func.11">Divide</a> <font color="Maroon" title="c8">da</font>,<font color="Maroon" title="c9">db</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T58" title="SCMFSA_2:th.58">SCMFSA_2:58</a></i>;<br/><a NAME="E4:45_1_1_6"/><i><font color="Green" title="E45">A27</font></i>: 
( <font color="Maroon" title="c6">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c8">da</font> &amp; <font color="Maroon" title="c6">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c9">db</font> )
 <b>by </b><i><a class="txt" href="scmfsa8b.html#E2:45"><i><font color="Green" title="E37">A2</font></i></a>, <a class="txt" href="scmfsa8b.html#E3:45_1_1_6"><i><font color="Green" title="E44">A26</font></i></a>, <a class="ref" href="scmfsa7b.html#D1" title="SCMFSA7B:def.1">SCMFSA7B:def 1</a></i>;<br/><div><b>hereby </b>
<div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_1_1_6_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:45_1_1_6_1_1"/>
( <font color="Maroon" title="c7">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c9">db</font> or ( <font color="Maroon" title="c7">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">da</font> &amp; <font color="Maroon" title="c7">b</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c9">db</font> ) or ( <font color="Maroon" title="c7">b</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c8">da</font> &amp; <font color="Maroon" title="c7">b</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c9">db</font> ) )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_1_1_6_1_1_1"><b>suppose </b></a><a NAME="E1:45_1_1_6_1_1_1"/><i><font color="Green" title="E46">A28</font></i>: 
<font color="Maroon" title="c7">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c9">db</font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c8">da</font></span>)</span> <a href="int_1.html#K6" title="INT_1:func.6">mod</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c9">db</font></span>)</span>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_1_1_6"><i><font color="Green" title="E44">A26</font></i></a>, <a class="ref" href="scmfsa_2.html#T93" title="SCMFSA_2:th.93">SCMFSA_2:93</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c8">da</font></span>)</span> <a href="int_1.html#K6" title="INT_1:func.6">mod</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c9">db</font></span>)</span>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45"><i><font color="Green" title="E36">A1</font></i></a>, <a class="txt" href="scmfsa8b.html#E4:45_1_1_6"><i><font color="Green" title="E45">A27</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c8">da</font></span>)</span> <a href="int_1.html#K6" title="INT_1:func.6">mod</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c9">db</font></span>)</span>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45"><i><font color="Green" title="E36">A1</font></i></a>, <a class="txt" href="scmfsa8b.html#E4:45_1_1_6"><i><font color="Green" title="E45">A27</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_1_1_6"><i><font color="Green" title="E44">A26</font></i></a>, <a class="txt" href="scmfsa8b.html#E1:45_1_1_6_1_1_1"><i><font color="Green" title="E46">A28</font></i></a>, <a class="ref" href="scmfsa_2.html#T93" title="SCMFSA_2:th.93">SCMFSA_2:93</a></i>
;<br/><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_1_1_6_1_1_2"><b>suppose </b></a><a NAME="E1:45_1_1_6_1_1_2"/><i><font color="Green" title="E46">A29</font></i>: 
( <font color="Maroon" title="c7">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">da</font> &amp; <font color="Maroon" title="c7">b</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c9">db</font> )
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c8">da</font></span>)</span> <a href="int_1.html#K5" title="INT_1:func.5">div</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c9">db</font></span>)</span>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_1_1_6"><i><font color="Green" title="E44">A26</font></i></a>, <a class="ref" href="scmfsa_2.html#T93" title="SCMFSA_2:th.93">SCMFSA_2:93</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c8">da</font></span>)</span> <a href="int_1.html#K5" title="INT_1:func.5">div</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c9">db</font></span>)</span>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45"><i><font color="Green" title="E36">A1</font></i></a>, <a class="txt" href="scmfsa8b.html#E4:45_1_1_6"><i><font color="Green" title="E45">A27</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c8">da</font></span>)</span> <a href="int_1.html#K5" title="INT_1:func.5">div</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c9">db</font></span>)</span>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45"><i><font color="Green" title="E36">A1</font></i></a>, <a class="txt" href="scmfsa8b.html#E4:45_1_1_6"><i><font color="Green" title="E45">A27</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_1_1_6"><i><font color="Green" title="E44">A26</font></i></a>, <a class="txt" href="scmfsa8b.html#E1:45_1_1_6_1_1_2"><i><font color="Green" title="E46">A29</font></i></a>, <a class="ref" href="scmfsa_2.html#T93" title="SCMFSA_2:th.93">SCMFSA_2:93</a></i>
;<br/><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_1_1_6_1_1_3"><b>suppose </b></a><a NAME="E1:45_1_1_6_1_1_3"/><i><font color="Green" title="E46">A30</font></i>: 
( <font color="Maroon" title="c7">b</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c8">da</font> &amp; <font color="Maroon" title="c7">b</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c9">db</font> )
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font> = 
<font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_1_1_6"><i><font color="Green" title="E44">A26</font></i></a>, <a class="ref" href="scmfsa_2.html#T93" title="SCMFSA_2:th.93">SCMFSA_2:93</a></i>
<br/>.= 
<font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45"><i><font color="Green" title="E36">A1</font></i></a>, <a class="txt" href="scmfsa8b.html#E1:45_1"><i><font color="Green" title="E43">A8</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_1_1_6"><i><font color="Green" title="E44">A26</font></i></a>, <a class="txt" href="scmfsa8b.html#E1:45_1_1_6_1_1_3"><i><font color="Green" title="E46">A30</font></i></a>, <a class="ref" href="scmfsa_2.html#T93" title="SCMFSA_2:th.93">SCMFSA_2:93</a></i>
;<br/><br/></div><b>end;</b></div></div><b>end;</b></div></div>
<b>end;</b></div></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_1_1_7"><b>suppose </b></a><a NAME="E1:45_1_1_7"/>
 <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 6
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c8">loc</font> being    <a href="ami_1.html#M3" title="AMI_1:mode.3">Instruction-Location</a> of  <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> <b> such that </b><br/><a NAME="E3:45_1_1_7"/><i><font color="Green" title="E44">A31</font></i>: 
<font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmfsa_2.html#K12" title="SCMFSA_2:func.12">goto</a> <font color="Maroon" title="c8">loc</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T59" title="SCMFSA_2:th.59">SCMFSA_2:59</a></i>;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font> = 
<font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_1_1_7"><i><font color="Green" title="E44">A31</font></i></a>, <a class="ref" href="scmfsa_2.html#T95" title="SCMFSA_2:th.95">SCMFSA_2:95</a></i>
<br/>.= 
<font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45"><i><font color="Green" title="E36">A1</font></i></a>, <a class="txt" href="scmfsa8b.html#E1:45_1"><i><font color="Green" title="E43">A8</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_1_1_7"><i><font color="Green" title="E44">A31</font></i></a>, <a class="ref" href="scmfsa_2.html#T95" title="SCMFSA_2:th.95">SCMFSA_2:95</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_1_1_8"><b>suppose </b></a><a NAME="E1:45_1_1_8"/>
 <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 7
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c8">loc</font> being    <a href="ami_1.html#M3" title="AMI_1:mode.3">Instruction-Location</a> of  <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> , <font color="Maroon" title="c9">da</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> <b> such that </b><br/><a NAME="E3:45_1_1_8"/><i><font color="Green" title="E44">A32</font></i>: 
<font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c9">da</font> <a href="scmfsa_2.html#K13" title="SCMFSA_2:func.13">=0_goto</a> <font color="Maroon" title="c8">loc</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T60" title="SCMFSA_2:th.60">SCMFSA_2:60</a></i>;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font> = 
<font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_1_1_8"><i><font color="Green" title="E44">A32</font></i></a>, <a class="ref" href="scmfsa_2.html#T96" title="SCMFSA_2:th.96">SCMFSA_2:96</a></i>
<br/>.= 
<font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45"><i><font color="Green" title="E36">A1</font></i></a>, <a class="txt" href="scmfsa8b.html#E1:45_1"><i><font color="Green" title="E43">A8</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_1_1_8"><i><font color="Green" title="E44">A32</font></i></a>, <a class="ref" href="scmfsa_2.html#T96" title="SCMFSA_2:th.96">SCMFSA_2:96</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_1_1_9"><b>suppose </b></a><a NAME="E1:45_1_1_9"/>
 <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 8
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c8">loc</font> being    <a href="ami_1.html#M3" title="AMI_1:mode.3">Instruction-Location</a> of  <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> , <font color="Maroon" title="c9">da</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> <b> such that </b><br/><a NAME="E3:45_1_1_9"/><i><font color="Green" title="E44">A33</font></i>: 
<font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c9">da</font> <a href="scmfsa_2.html#K14" title="SCMFSA_2:func.14">&gt;0_goto</a> <font color="Maroon" title="c8">loc</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T61" title="SCMFSA_2:th.61">SCMFSA_2:61</a></i>;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font> = 
<font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_1_1_9"><i><font color="Green" title="E44">A33</font></i></a>, <a class="ref" href="scmfsa_2.html#T97" title="SCMFSA_2:th.97">SCMFSA_2:97</a></i>
<br/>.= 
<font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45"><i><font color="Green" title="E36">A1</font></i></a>, <a class="txt" href="scmfsa8b.html#E1:45_1"><i><font color="Green" title="E43">A8</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_1_1_9"><i><font color="Green" title="E44">A33</font></i></a>, <a class="ref" href="scmfsa_2.html#T97" title="SCMFSA_2:th.97">SCMFSA_2:97</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_1_1_10"><b>suppose </b></a><a NAME="E1:45_1_1_10"/>
 <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 9
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c8">db</font>, <font color="Maroon" title="c9">da</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> , <font color="Maroon" title="c10">g</font> being    <a href="scmfsa_2.html#M2" title="SCMFSA_2:mode.2">FinSeq-Location</a> <b> such that </b><br/><a NAME="E3:45_1_1_10"/><i><font color="Green" title="E44">A34</font></i>: 
<font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c9">da</font> <a href="scmfsa_2.html#K15" title="SCMFSA_2:func.15">:=</a> <font color="Maroon" title="c10">g</font>,<font color="Maroon" title="c8">db</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T62" title="SCMFSA_2:th.62">SCMFSA_2:62</a></i>;<br/><a NAME="E4:45_1_1_10"/><i><font color="Green" title="E45">A35</font></i>: 
<font color="Maroon" title="c6">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c8">db</font>
 <b>by </b><i><a class="txt" href="scmfsa8b.html#E2:45"><i><font color="Green" title="E37">A2</font></i></a>, <a class="txt" href="scmfsa8b.html#E3:45_1_1_10"><i><font color="Green" title="E44">A34</font></i></a>, <a class="ref" href="scmfsa7b.html#D1" title="SCMFSA7B:def.1">SCMFSA7B:def 1</a></i>;<br/><div><b>hereby </b>
<div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_1_1_10_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:45_1_1_10_1_1"/>
( <font color="Maroon" title="c7">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c9">da</font> or <font color="Maroon" title="c7">b</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c9">da</font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_1_1_10_1_1_1"><b>suppose </b></a><a NAME="E1:45_1_1_10_1_1_1"/><i><font color="Green" title="E46">A36</font></i>: 
<font color="Maroon" title="c7">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c9">da</font>
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c11">m1</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> <b> such that </b><br/><a NAME="E3:45_1_1_10_1_1_1"/><i><font color="Green" title="E47">A37</font></i>: 
<font color="Maroon" title="c11">m1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="int_2.html#K1" title="INT_2:func.1">abs</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c8">db</font></span>)</span>
 <b>and </b><br/><a NAME="E4:45_1_1_10_1_1_1"/><i><font color="Green" title="E48">A38</font></i>: 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p2">(<span class="default"><font color="Maroon" title="c9">da</font> <a href="scmfsa_2.html#K15" title="SCMFSA_2:func.15">:=</a> <font color="Maroon" title="c10">g</font>,<font color="Maroon" title="c8">db</font></span>)</span>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c10">g</font></span>)</span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <font color="Maroon" title="c11">m1</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T98" title="SCMFSA_2:th.98">SCMFSA_2:98</a></i>;<br/><b>consider </b><font color="Maroon" title="c12">m2</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> <b> such that </b><br/><a NAME="E6:45_1_1_10_1_1_1"/><i><font color="Green" title="E49">A39</font></i>: 
<font color="Maroon" title="c12">m2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="int_2.html#K1" title="INT_2:func.1">abs</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c8">db</font></span>)</span>
 <b>and </b><br/><a NAME="E7:45_1_1_10_1_1_1"/><i><font color="Green" title="E50">A40</font></i>: 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p2">(<span class="default"><font color="Maroon" title="c9">da</font> <a href="scmfsa_2.html#K15" title="SCMFSA_2:func.15">:=</a> <font color="Maroon" title="c10">g</font>,<font color="Maroon" title="c8">db</font></span>)</span>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c10">g</font></span>)</span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <font color="Maroon" title="c12">m2</font>
 <b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45_1_1_10_1_1_1"><i><font color="Green" title="E46">A36</font></i></a>, <a class="ref" href="scmfsa_2.html#T98" title="SCMFSA_2:th.98">SCMFSA_2:98</a></i>;<br/><a NAME="E8:45_1_1_10_1_1_1"/>
( <font color="Maroon" title="c11">m1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c12">m2</font> &amp; <font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c10">g</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c10">g</font> )
 <b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45"><i><font color="Green" title="E36">A1</font></i></a>, <a class="txt" href="scmfsa8b.html#E4:45_1_1_10"><i><font color="Green" title="E45">A35</font></i></a>, <a class="txt" href="scmfsa8b.html#E3:45_1_1_10_1_1_1"><i><font color="Green" title="E47">A37</font></i></a>, <a class="txt" href="scmfsa8b.html#E6:45_1_1_10_1_1_1"><i><font color="Green" title="E49">A39</font></i></a></i>;<br/><b>hence </b><a NAME="E9:45_1_1_10_1_1_1"/>
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
 <b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_1_1_10"><i><font color="Green" title="E44">A34</font></i></a>, <a class="txt" href="scmfsa8b.html#E4:45_1_1_10_1_1_1"><i><font color="Green" title="E48">A38</font></i></a>, <a class="txt" href="scmfsa8b.html#E7:45_1_1_10_1_1_1"><i><font color="Green" title="E50">A40</font></i></a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_1_1_10_1_1_2"><b>suppose </b></a><a NAME="E1:45_1_1_10_1_1_2"/><i><font color="Green" title="E46">A41</font></i>: 
<font color="Maroon" title="c7">b</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c9">da</font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font> = 
<font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_1_1_10"><i><font color="Green" title="E44">A34</font></i></a>, <a class="ref" href="scmfsa_2.html#T98" title="SCMFSA_2:th.98">SCMFSA_2:98</a></i>
<br/>.= 
<font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45"><i><font color="Green" title="E36">A1</font></i></a>, <a class="txt" href="scmfsa8b.html#E1:45_1"><i><font color="Green" title="E43">A8</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_1_1_10"><i><font color="Green" title="E44">A34</font></i></a>, <a class="txt" href="scmfsa8b.html#E1:45_1_1_10_1_1_2"><i><font color="Green" title="E46">A41</font></i></a>, <a class="ref" href="scmfsa_2.html#T98" title="SCMFSA_2:th.98">SCMFSA_2:98</a></i>
;<br/><br/></div><b>end;</b></div></div><b>end;</b></div></div>
<b>end;</b></div></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_1_1_11"><b>suppose </b></a><a NAME="E1:45_1_1_11"/>
 <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 10
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c8">db</font>, <font color="Maroon" title="c9">da</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> , <font color="Maroon" title="c10">g</font> being    <a href="scmfsa_2.html#M2" title="SCMFSA_2:mode.2">FinSeq-Location</a> <b> such that </b><br/><a NAME="E3:45_1_1_11"/><i><font color="Green" title="E44">A42</font></i>: 
<font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c10">g</font>,<font color="Maroon" title="c8">db</font> <a href="scmfsa_2.html#K16" title="SCMFSA_2:func.16">:=</a> <font color="Maroon" title="c9">da</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T63" title="SCMFSA_2:th.63">SCMFSA_2:63</a></i>;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font> = 
<font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_1_1_11"><i><font color="Green" title="E44">A42</font></i></a>, <a class="ref" href="scmfsa_2.html#T99" title="SCMFSA_2:th.99">SCMFSA_2:99</a></i>
<br/>.= 
<font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45"><i><font color="Green" title="E36">A1</font></i></a>, <a class="txt" href="scmfsa8b.html#E1:45_1"><i><font color="Green" title="E43">A8</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_1_1_11"><i><font color="Green" title="E44">A42</font></i></a>, <a class="ref" href="scmfsa_2.html#T99" title="SCMFSA_2:th.99">SCMFSA_2:99</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_1_1_12"><b>suppose </b></a><a NAME="E1:45_1_1_12"/>
 <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 11
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c8">da</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> , <font color="Maroon" title="c9">g</font> being    <a href="scmfsa_2.html#M2" title="SCMFSA_2:mode.2">FinSeq-Location</a> <b> such that </b><br/><a NAME="E3:45_1_1_12"/><i><font color="Green" title="E44">A43</font></i>: 
<font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">da</font> <a href="scmfsa_2.html#K17" title="SCMFSA_2:func.17">:=len</a> <font color="Maroon" title="c9">g</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T64" title="SCMFSA_2:th.64">SCMFSA_2:64</a></i>;<br/><div><b>hereby </b>
<div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_1_1_12_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:45_1_1_12_1_1"/>
( <font color="Maroon" title="c7">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">da</font> or <font color="Maroon" title="c7">b</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c8">da</font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_1_1_12_1_1_1"><b>suppose </b></a><a NAME="E1:45_1_1_12_1_1_1"/><i><font color="Green" title="E45">A44</font></i>: 
<font color="Maroon" title="c7">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">da</font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font> = 
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c9">g</font></span>)</span>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_1_1_12"><i><font color="Green" title="E44">A43</font></i></a>, <a class="ref" href="scmfsa_2.html#T100" title="SCMFSA_2:th.100">SCMFSA_2:100</a></i>
<br/>.= 
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c9">g</font></span>)</span>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45"><i><font color="Green" title="E36">A1</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_1_1_12"><i><font color="Green" title="E44">A43</font></i></a>, <a class="txt" href="scmfsa8b.html#E1:45_1_1_12_1_1_1"><i><font color="Green" title="E45">A44</font></i></a>, <a class="ref" href="scmfsa_2.html#T100" title="SCMFSA_2:th.100">SCMFSA_2:100</a></i>
;<br/><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_1_1_12_1_1_2"><b>suppose </b></a><a NAME="E1:45_1_1_12_1_1_2"/><i><font color="Green" title="E45">A45</font></i>: 
<font color="Maroon" title="c7">b</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c8">da</font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font> = 
<font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_1_1_12"><i><font color="Green" title="E44">A43</font></i></a>, <a class="ref" href="scmfsa_2.html#T100" title="SCMFSA_2:th.100">SCMFSA_2:100</a></i>
<br/>.= 
<font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45"><i><font color="Green" title="E36">A1</font></i></a>, <a class="txt" href="scmfsa8b.html#E1:45_1"><i><font color="Green" title="E43">A8</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_1_1_12"><i><font color="Green" title="E44">A43</font></i></a>, <a class="txt" href="scmfsa8b.html#E1:45_1_1_12_1_1_2"><i><font color="Green" title="E45">A45</font></i></a>, <a class="ref" href="scmfsa_2.html#T100" title="SCMFSA_2:th.100">SCMFSA_2:100</a></i>
;<br/><br/></div><b>end;</b></div></div><b>end;</b></div></div>
<b>end;</b></div></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_1_1_13"><b>suppose </b></a><a NAME="E1:45_1_1_13"/>
 <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 12
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c8">da</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> , <font color="Maroon" title="c9">g</font> being    <a href="scmfsa_2.html#M2" title="SCMFSA_2:mode.2">FinSeq-Location</a> <b> such that </b><br/><a NAME="E3:45_1_1_13"/><i><font color="Green" title="E44">A46</font></i>: 
<font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c9">g</font> <a href="scmfsa_2.html#K18" title="SCMFSA_2:func.18">:=&lt;0,...,0&gt;</a> <font color="Maroon" title="c8">da</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T65" title="SCMFSA_2:th.65">SCMFSA_2:65</a></i>;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font> = 
<font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_1_1_13"><i><font color="Green" title="E44">A46</font></i></a>, <a class="ref" href="scmfsa_2.html#T101" title="SCMFSA_2:th.101">SCMFSA_2:101</a></i>
<br/>.= 
<font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45"><i><font color="Green" title="E36">A1</font></i></a>, <a class="txt" href="scmfsa8b.html#E1:45_1"><i><font color="Green" title="E43">A8</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c7">b</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_1_1_13"><i><font color="Green" title="E44">A46</font></i></a>, <a class="ref" href="scmfsa_2.html#T101" title="SCMFSA_2:th.101">SCMFSA_2:101</a></i>
;<br/></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="45_2"><b>now </b></a><div class="add"><b>let </b><font color="Maroon" title="c7">f</font> be    <a href="scmfsa_2.html#M2" title="SCMFSA_2:mode.2">FinSeq-Location</a> ;<br/><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_2_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:45_2_1"/>
(  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 or  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2 or  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 3 or  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 4 or  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 5 or  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 6 or  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 7 or  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 8 or  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 9 or  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 10 or  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 11 or  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 12 )
 </span><b>by </b><i><a class="txt" href="scmfsa8b.html#E4:45"><i><font color="Green" title="E39">A4</font></i></a>, <a class="txt" href="scmfsa8b.html#E5:45"><i><font color="Green" title="E40">A5</font></i></a>, <a class="txt" href="scmfsa8b.html#E6:45"><i><font color="Green" title="E41">A6</font></i></a>, <a class="ref" href="nat_1.html#T8" title="NAT_1:th.8">NAT_1:8</a>, <a class="ref" href="nat_1.html#T33" title="NAT_1:th.33">NAT_1:33</a></i>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_2_1_1"><b>suppose </b></a><a NAME="E1:45_2_1_1"/>
 <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 ;<br/><div class="add"><a NAME="E2:45_2_1_1"/><b>then </b><i><font color="Green" title="E43">A47</font></i>: 
<font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K5" title="AMI_1:func.5">halt</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> 
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T122" title="SCMFSA_2:th.122">SCMFSA_2:122</a></i>;<br/><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font> = 
<font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font>
<b>by </b><i><a class="ref" href="ami_1.html#D8" title="AMI_1:def.8">AMI_1:def 8</a></i>
<br/>.= 
<font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45"><i><font color="Green" title="E36">A1</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E2:45_2_1_1"><i><font color="Green" title="E43">A47</font></i></a>, <a class="ref" href="ami_1.html#D8" title="AMI_1:def.8">AMI_1:def 8</a></i>
;<br/><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_2_1_2"><b>suppose </b></a><a NAME="E1:45_2_1_2"/>
 <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c8">da</font>, <font color="Maroon" title="c9">db</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> <b> such that </b><br/><a NAME="E3:45_2_1_2"/><i><font color="Green" title="E43">A48</font></i>: 
<font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">da</font> <a href="scmfsa_2.html#K7" title="SCMFSA_2:func.7">:=</a> <font color="Maroon" title="c9">db</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T54" title="SCMFSA_2:th.54">SCMFSA_2:54</a></i>;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font> = 
<font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_2_1_2"><i><font color="Green" title="E43">A48</font></i></a>, <a class="ref" href="scmfsa_2.html#T89" title="SCMFSA_2:th.89">SCMFSA_2:89</a></i>
<br/>.= 
<font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45"><i><font color="Green" title="E36">A1</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_2_1_2"><i><font color="Green" title="E43">A48</font></i></a>, <a class="ref" href="scmfsa_2.html#T89" title="SCMFSA_2:th.89">SCMFSA_2:89</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_2_1_3"><b>suppose </b></a><a NAME="E1:45_2_1_3"/>
 <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c8">da</font>, <font color="Maroon" title="c9">db</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> <b> such that </b><br/><a NAME="E3:45_2_1_3"/><i><font color="Green" title="E43">A49</font></i>: 
<font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmfsa_2.html#K8" title="SCMFSA_2:func.8">AddTo</a> <font color="Maroon" title="c8">da</font>,<font color="Maroon" title="c9">db</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T55" title="SCMFSA_2:th.55">SCMFSA_2:55</a></i>;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font> = 
<font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_2_1_3"><i><font color="Green" title="E43">A49</font></i></a>, <a class="ref" href="scmfsa_2.html#T90" title="SCMFSA_2:th.90">SCMFSA_2:90</a></i>
<br/>.= 
<font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45"><i><font color="Green" title="E36">A1</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_2_1_3"><i><font color="Green" title="E43">A49</font></i></a>, <a class="ref" href="scmfsa_2.html#T90" title="SCMFSA_2:th.90">SCMFSA_2:90</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_2_1_4"><b>suppose </b></a><a NAME="E1:45_2_1_4"/>
 <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 3
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c8">da</font>, <font color="Maroon" title="c9">db</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> <b> such that </b><br/><a NAME="E3:45_2_1_4"/><i><font color="Green" title="E43">A50</font></i>: 
<font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmfsa_2.html#K9" title="SCMFSA_2:func.9">SubFrom</a> <font color="Maroon" title="c8">da</font>,<font color="Maroon" title="c9">db</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T56" title="SCMFSA_2:th.56">SCMFSA_2:56</a></i>;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font> = 
<font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_2_1_4"><i><font color="Green" title="E43">A50</font></i></a>, <a class="ref" href="scmfsa_2.html#T91" title="SCMFSA_2:th.91">SCMFSA_2:91</a></i>
<br/>.= 
<font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45"><i><font color="Green" title="E36">A1</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_2_1_4"><i><font color="Green" title="E43">A50</font></i></a>, <a class="ref" href="scmfsa_2.html#T91" title="SCMFSA_2:th.91">SCMFSA_2:91</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_2_1_5"><b>suppose </b></a><a NAME="E1:45_2_1_5"/>
 <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 4
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c8">da</font>, <font color="Maroon" title="c9">db</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> <b> such that </b><br/><a NAME="E3:45_2_1_5"/><i><font color="Green" title="E43">A51</font></i>: 
<font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmfsa_2.html#K10" title="SCMFSA_2:func.10">MultBy</a> <font color="Maroon" title="c8">da</font>,<font color="Maroon" title="c9">db</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T57" title="SCMFSA_2:th.57">SCMFSA_2:57</a></i>;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font> = 
<font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_2_1_5"><i><font color="Green" title="E43">A51</font></i></a>, <a class="ref" href="scmfsa_2.html#T92" title="SCMFSA_2:th.92">SCMFSA_2:92</a></i>
<br/>.= 
<font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45"><i><font color="Green" title="E36">A1</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_2_1_5"><i><font color="Green" title="E43">A51</font></i></a>, <a class="ref" href="scmfsa_2.html#T92" title="SCMFSA_2:th.92">SCMFSA_2:92</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_2_1_6"><b>suppose </b></a><a NAME="E1:45_2_1_6"/>
 <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 5
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c8">da</font>, <font color="Maroon" title="c9">db</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> <b> such that </b><br/><a NAME="E3:45_2_1_6"/><i><font color="Green" title="E43">A52</font></i>: 
<font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmfsa_2.html#K11" title="SCMFSA_2:func.11">Divide</a> <font color="Maroon" title="c8">da</font>,<font color="Maroon" title="c9">db</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T58" title="SCMFSA_2:th.58">SCMFSA_2:58</a></i>;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font> = 
<font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_2_1_6"><i><font color="Green" title="E43">A52</font></i></a>, <a class="ref" href="scmfsa_2.html#T93" title="SCMFSA_2:th.93">SCMFSA_2:93</a></i>
<br/>.= 
<font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45"><i><font color="Green" title="E36">A1</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_2_1_6"><i><font color="Green" title="E43">A52</font></i></a>, <a class="ref" href="scmfsa_2.html#T93" title="SCMFSA_2:th.93">SCMFSA_2:93</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_2_1_7"><b>suppose </b></a><a NAME="E1:45_2_1_7"/>
 <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 6
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c8">loc</font> being    <a href="ami_1.html#M3" title="AMI_1:mode.3">Instruction-Location</a> of  <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> <b> such that </b><br/><a NAME="E3:45_2_1_7"/><i><font color="Green" title="E43">A53</font></i>: 
<font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmfsa_2.html#K12" title="SCMFSA_2:func.12">goto</a> <font color="Maroon" title="c8">loc</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T59" title="SCMFSA_2:th.59">SCMFSA_2:59</a></i>;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font> = 
<font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_2_1_7"><i><font color="Green" title="E43">A53</font></i></a>, <a class="ref" href="scmfsa_2.html#T95" title="SCMFSA_2:th.95">SCMFSA_2:95</a></i>
<br/>.= 
<font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45"><i><font color="Green" title="E36">A1</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_2_1_7"><i><font color="Green" title="E43">A53</font></i></a>, <a class="ref" href="scmfsa_2.html#T95" title="SCMFSA_2:th.95">SCMFSA_2:95</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_2_1_8"><b>suppose </b></a><a NAME="E1:45_2_1_8"/>
 <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 7
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c8">loc</font> being    <a href="ami_1.html#M3" title="AMI_1:mode.3">Instruction-Location</a> of  <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> , <font color="Maroon" title="c9">da</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> <b> such that </b><br/><a NAME="E3:45_2_1_8"/><i><font color="Green" title="E43">A54</font></i>: 
<font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c9">da</font> <a href="scmfsa_2.html#K13" title="SCMFSA_2:func.13">=0_goto</a> <font color="Maroon" title="c8">loc</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T60" title="SCMFSA_2:th.60">SCMFSA_2:60</a></i>;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font> = 
<font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_2_1_8"><i><font color="Green" title="E43">A54</font></i></a>, <a class="ref" href="scmfsa_2.html#T96" title="SCMFSA_2:th.96">SCMFSA_2:96</a></i>
<br/>.= 
<font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45"><i><font color="Green" title="E36">A1</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_2_1_8"><i><font color="Green" title="E43">A54</font></i></a>, <a class="ref" href="scmfsa_2.html#T96" title="SCMFSA_2:th.96">SCMFSA_2:96</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_2_1_9"><b>suppose </b></a><a NAME="E1:45_2_1_9"/>
 <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 8
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c8">loc</font> being    <a href="ami_1.html#M3" title="AMI_1:mode.3">Instruction-Location</a> of  <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> , <font color="Maroon" title="c9">da</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> <b> such that </b><br/><a NAME="E3:45_2_1_9"/><i><font color="Green" title="E43">A55</font></i>: 
<font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c9">da</font> <a href="scmfsa_2.html#K14" title="SCMFSA_2:func.14">&gt;0_goto</a> <font color="Maroon" title="c8">loc</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T61" title="SCMFSA_2:th.61">SCMFSA_2:61</a></i>;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font> = 
<font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_2_1_9"><i><font color="Green" title="E43">A55</font></i></a>, <a class="ref" href="scmfsa_2.html#T97" title="SCMFSA_2:th.97">SCMFSA_2:97</a></i>
<br/>.= 
<font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45"><i><font color="Green" title="E36">A1</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_2_1_9"><i><font color="Green" title="E43">A55</font></i></a>, <a class="ref" href="scmfsa_2.html#T97" title="SCMFSA_2:th.97">SCMFSA_2:97</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_2_1_10"><b>suppose </b></a><a NAME="E1:45_2_1_10"/>
 <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 9
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c8">db</font>, <font color="Maroon" title="c9">da</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> , <font color="Maroon" title="c10">g</font> being    <a href="scmfsa_2.html#M2" title="SCMFSA_2:mode.2">FinSeq-Location</a> <b> such that </b><br/><a NAME="E3:45_2_1_10"/><i><font color="Green" title="E43">A56</font></i>: 
<font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c9">da</font> <a href="scmfsa_2.html#K15" title="SCMFSA_2:func.15">:=</a> <font color="Maroon" title="c10">g</font>,<font color="Maroon" title="c8">db</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T62" title="SCMFSA_2:th.62">SCMFSA_2:62</a></i>;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font> = 
<font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_2_1_10"><i><font color="Green" title="E43">A56</font></i></a>, <a class="ref" href="scmfsa_2.html#T98" title="SCMFSA_2:th.98">SCMFSA_2:98</a></i>
<br/>.= 
<font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45"><i><font color="Green" title="E36">A1</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_2_1_10"><i><font color="Green" title="E43">A56</font></i></a>, <a class="ref" href="scmfsa_2.html#T98" title="SCMFSA_2:th.98">SCMFSA_2:98</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_2_1_11"><b>suppose </b></a><a NAME="E1:45_2_1_11"/>
 <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 10
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c8">db</font>, <font color="Maroon" title="c9">da</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> , <font color="Maroon" title="c10">g</font> being    <a href="scmfsa_2.html#M2" title="SCMFSA_2:mode.2">FinSeq-Location</a> <b> such that </b><br/><a NAME="E3:45_2_1_11"/><i><font color="Green" title="E43">A57</font></i>: 
<font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c10">g</font>,<font color="Maroon" title="c8">db</font> <a href="scmfsa_2.html#K16" title="SCMFSA_2:func.16">:=</a> <font color="Maroon" title="c9">da</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T63" title="SCMFSA_2:th.63">SCMFSA_2:63</a></i>;<br/><a NAME="E4:45_2_1_11"/><i><font color="Green" title="E44">A58</font></i>: 
( <font color="Maroon" title="c6">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c9">da</font> &amp; <font color="Maroon" title="c6">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c8">db</font> )
 <b>by </b><i><a class="txt" href="scmfsa8b.html#E2:45"><i><font color="Green" title="E37">A2</font></i></a>, <a class="txt" href="scmfsa8b.html#E3:45_2_1_11"><i><font color="Green" title="E43">A57</font></i></a>, <a class="ref" href="scmfsa7b.html#D1" title="SCMFSA7B:def.1">SCMFSA7B:def 1</a></i>;<br/><div><b>hereby </b>
<div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_2_1_11_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:45_2_1_11_1_1"/>
( <font color="Maroon" title="c7">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c10">g</font> or <font color="Maroon" title="c7">f</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c10">g</font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_2_1_11_1_1_1"><b>suppose </b></a><a NAME="E1:45_2_1_11_1_1_1"/><i><font color="Green" title="E45">A59</font></i>: 
<font color="Maroon" title="c7">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c10">g</font>
 ;<br/><div class="add"><b>consider </b><font color="Maroon" title="c11">m1</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> <b> such that </b><br/><a NAME="E3:45_2_1_11_1_1_1"/><i><font color="Green" title="E46">A60</font></i>: 
<font color="Maroon" title="c11">m1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="int_2.html#K1" title="INT_2:func.1">abs</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c8">db</font></span>)</span>
 <b>and </b><br/><a NAME="E4:45_2_1_11_1_1_1"/><i><font color="Green" title="E47">A61</font></i>: 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p2">(<span class="default"><font color="Maroon" title="c10">g</font>,<font color="Maroon" title="c8">db</font> <a href="scmfsa_2.html#K16" title="SCMFSA_2:func.16">:=</a> <font color="Maroon" title="c9">da</font></span>)</span>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c10">g</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c10">g</font></span>)</span> <a href="funct_7.html#K2" title="FUNCT_7:func.2">+*</a> <font color="Maroon" title="c11">m1</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c9">da</font></span>)</span>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T99" title="SCMFSA_2:th.99">SCMFSA_2:99</a></i>;<br/><b>consider </b><font color="Maroon" title="c12">m2</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> <b> such that </b><br/><a NAME="E6:45_2_1_11_1_1_1"/><i><font color="Green" title="E48">A62</font></i>: 
<font color="Maroon" title="c12">m2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="int_2.html#K1" title="INT_2:func.1">abs</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c8">db</font></span>)</span>
 <b>and </b><br/><a NAME="E7:45_2_1_11_1_1_1"/><i><font color="Green" title="E49">A63</font></i>: 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p2">(<span class="default"><font color="Maroon" title="c10">g</font>,<font color="Maroon" title="c8">db</font> <a href="scmfsa_2.html#K16" title="SCMFSA_2:func.16">:=</a> <font color="Maroon" title="c9">da</font></span>)</span>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c10">g</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c10">g</font></span>)</span> <a href="funct_7.html#K2" title="FUNCT_7:func.2">+*</a> <font color="Maroon" title="c12">m2</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c9">da</font></span>)</span>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T99" title="SCMFSA_2:th.99">SCMFSA_2:99</a></i>;<br/><a NAME="E8:45_2_1_11_1_1_1"/><i><font color="Green" title="E50">A64</font></i>: 
<font color="Maroon" title="c11">m1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c12">m2</font>
 <b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45"><i><font color="Green" title="E36">A1</font></i></a>, <a class="txt" href="scmfsa8b.html#E4:45_2_1_11"><i><font color="Green" title="E44">A58</font></i></a>, <a class="txt" href="scmfsa8b.html#E3:45_2_1_11_1_1_1"><i><font color="Green" title="E46">A60</font></i></a>, <a class="txt" href="scmfsa8b.html#E6:45_2_1_11_1_1_1"><i><font color="Green" title="E48">A62</font></i></a></i>;<br/><a NAME="E9:45_2_1_11_1_1_1"/>
<font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c9">da</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c9">da</font>
 <b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45"><i><font color="Green" title="E36">A1</font></i></a>, <a class="txt" href="scmfsa8b.html#E4:45_2_1_11"><i><font color="Green" title="E44">A58</font></i></a></i>;<br/><b>hence </b><a NAME="E10:45_2_1_11_1_1_1"/>
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font>
 <b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45"><i><font color="Green" title="E36">A1</font></i></a>, <a class="txt" href="scmfsa8b.html#E3:45_2_1_11"><i><font color="Green" title="E43">A57</font></i></a>, <a class="txt" href="scmfsa8b.html#E1:45_2_1_11_1_1_1"><i><font color="Green" title="E45">A59</font></i></a>, <a class="txt" href="scmfsa8b.html#E4:45_2_1_11_1_1_1"><i><font color="Green" title="E47">A61</font></i></a>, <a class="txt" href="scmfsa8b.html#E7:45_2_1_11_1_1_1"><i><font color="Green" title="E49">A63</font></i></a>, <a class="txt" href="scmfsa8b.html#E8:45_2_1_11_1_1_1"><i><font color="Green" title="E50">A64</font></i></a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_2_1_11_1_1_2"><b>suppose </b></a><a NAME="E1:45_2_1_11_1_1_2"/><i><font color="Green" title="E45">A65</font></i>: 
<font color="Maroon" title="c7">f</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c10">g</font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font> = 
<font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_2_1_11"><i><font color="Green" title="E43">A57</font></i></a>, <a class="ref" href="scmfsa_2.html#T99" title="SCMFSA_2:th.99">SCMFSA_2:99</a></i>
<br/>.= 
<font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45"><i><font color="Green" title="E36">A1</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_2_1_11"><i><font color="Green" title="E43">A57</font></i></a>, <a class="txt" href="scmfsa8b.html#E1:45_2_1_11_1_1_2"><i><font color="Green" title="E45">A65</font></i></a>, <a class="ref" href="scmfsa_2.html#T99" title="SCMFSA_2:th.99">SCMFSA_2:99</a></i>
;<br/><br/></div><b>end;</b></div></div><b>end;</b></div></div>
<b>end;</b></div></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_2_1_12"><b>suppose </b></a><a NAME="E1:45_2_1_12"/>
 <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 11
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c8">da</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> , <font color="Maroon" title="c9">g</font> being    <a href="scmfsa_2.html#M2" title="SCMFSA_2:mode.2">FinSeq-Location</a> <b> such that </b><br/><a NAME="E3:45_2_1_12"/><i><font color="Green" title="E43">A66</font></i>: 
<font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">da</font> <a href="scmfsa_2.html#K17" title="SCMFSA_2:func.17">:=len</a> <font color="Maroon" title="c9">g</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T64" title="SCMFSA_2:th.64">SCMFSA_2:64</a></i>;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font> = 
<font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_2_1_12"><i><font color="Green" title="E43">A66</font></i></a>, <a class="ref" href="scmfsa_2.html#T100" title="SCMFSA_2:th.100">SCMFSA_2:100</a></i>
<br/>.= 
<font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45"><i><font color="Green" title="E36">A1</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_2_1_12"><i><font color="Green" title="E43">A66</font></i></a>, <a class="ref" href="scmfsa_2.html#T100" title="SCMFSA_2:th.100">SCMFSA_2:100</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_2_1_13"><b>suppose </b></a><a NAME="E1:45_2_1_13"/>
 <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 12
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c8">da</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> , <font color="Maroon" title="c9">g</font> being    <a href="scmfsa_2.html#M2" title="SCMFSA_2:mode.2">FinSeq-Location</a> <b> such that </b><br/><a NAME="E3:45_2_1_13"/><i><font color="Green" title="E43">A67</font></i>: 
<font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c9">g</font> <a href="scmfsa_2.html#K18" title="SCMFSA_2:func.18">:=&lt;0,...,0&gt;</a> <font color="Maroon" title="c8">da</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T65" title="SCMFSA_2:th.65">SCMFSA_2:65</a></i>;<br/><a NAME="E4:45_2_1_13"/><i><font color="Green" title="E44">A68</font></i>: 
<font color="Maroon" title="c6">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c8">da</font>
 <b>by </b><i><a class="txt" href="scmfsa8b.html#E2:45"><i><font color="Green" title="E37">A2</font></i></a>, <a class="txt" href="scmfsa8b.html#E3:45_2_1_13"><i><font color="Green" title="E43">A67</font></i></a>, <a class="ref" href="scmfsa7b.html#D1" title="SCMFSA7B:def.1">SCMFSA7B:def 1</a></i>;<br/><div><b>hereby </b>
<div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_2_1_13_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:45_2_1_13_1_1"/>
( <font color="Maroon" title="c7">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c9">g</font> or <font color="Maroon" title="c7">f</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c9">g</font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_2_1_13_1_1_1"><b>suppose </b></a><a NAME="E1:45_2_1_13_1_1_1"/><i><font color="Green" title="E45">A69</font></i>: 
<font color="Maroon" title="c7">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c9">g</font>
 ;<br/><div class="add"><b>consider </b><font color="Maroon" title="c10">m1</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> <b> such that </b><br/><a NAME="E3:45_2_1_13_1_1_1"/><i><font color="Green" title="E46">A70</font></i>: 
<font color="Maroon" title="c10">m1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="int_2.html#K1" title="INT_2:func.1">abs</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c8">da</font></span>)</span>
 <b>and </b><br/><a NAME="E4:45_2_1_13_1_1_1"/><i><font color="Green" title="E47">A71</font></i>: 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p2">(<span class="default"><font color="Maroon" title="c9">g</font> <a href="scmfsa_2.html#K18" title="SCMFSA_2:func.18">:=&lt;0,...,0&gt;</a> <font color="Maroon" title="c8">da</font></span>)</span>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c9">g</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c10">m1</font> <a href="finseq_2.html#K2" title="FINSEQ_2:func.2">|-&gt;</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T101" title="SCMFSA_2:th.101">SCMFSA_2:101</a></i>;<br/><b>consider </b><font color="Maroon" title="c11">m2</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> <b> such that </b><br/><a NAME="E6:45_2_1_13_1_1_1"/><i><font color="Green" title="E48">A72</font></i>: 
<font color="Maroon" title="c11">m2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="int_2.html#K1" title="INT_2:func.1">abs</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c8">da</font></span>)</span>
 <b>and </b><br/><a NAME="E7:45_2_1_13_1_1_1"/><i><font color="Green" title="E49">A73</font></i>: 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p2">(<span class="default"><font color="Maroon" title="c9">g</font> <a href="scmfsa_2.html#K18" title="SCMFSA_2:func.18">:=&lt;0,...,0&gt;</a> <font color="Maroon" title="c8">da</font></span>)</span>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c9">g</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c11">m2</font> <a href="finseq_2.html#K2" title="FINSEQ_2:func.2">|-&gt;</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T101" title="SCMFSA_2:th.101">SCMFSA_2:101</a></i>;<br/><b>thus </b><a NAME="E8:45_2_1_13_1_1_1"/>
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font>
 <b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45"><i><font color="Green" title="E36">A1</font></i></a>, <a class="txt" href="scmfsa8b.html#E3:45_2_1_13"><i><font color="Green" title="E43">A67</font></i></a>, <a class="txt" href="scmfsa8b.html#E4:45_2_1_13"><i><font color="Green" title="E44">A68</font></i></a>, <a class="txt" href="scmfsa8b.html#E1:45_2_1_13_1_1_1"><i><font color="Green" title="E45">A69</font></i></a>, <a class="txt" href="scmfsa8b.html#E3:45_2_1_13_1_1_1"><i><font color="Green" title="E46">A70</font></i></a>, <a class="txt" href="scmfsa8b.html#E4:45_2_1_13_1_1_1"><i><font color="Green" title="E47">A71</font></i></a>, <a class="txt" href="scmfsa8b.html#E6:45_2_1_13_1_1_1"><i><font color="Green" title="E48">A72</font></i></a>, <a class="txt" href="scmfsa8b.html#E7:45_2_1_13_1_1_1"><i><font color="Green" title="E49">A73</font></i></a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_2_1_13_1_1_2"><b>suppose </b></a><a NAME="E1:45_2_1_13_1_1_2"/><i><font color="Green" title="E45">A74</font></i>: 
<font color="Maroon" title="c7">f</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c9">g</font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font> = 
<font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_2_1_13"><i><font color="Green" title="E43">A67</font></i></a>, <a class="ref" href="scmfsa_2.html#T101" title="SCMFSA_2:th.101">SCMFSA_2:101</a></i>
<br/>.= 
<font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45"><i><font color="Green" title="E36">A1</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c7">f</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_2_1_13"><i><font color="Green" title="E43">A67</font></i></a>, <a class="txt" href="scmfsa8b.html#E1:45_2_1_13_1_1_2"><i><font color="Green" title="E45">A74</font></i></a>, <a class="ref" href="scmfsa_2.html#T101" title="SCMFSA_2:th.101">SCMFSA_2:101</a></i>
;<br/><br/></div><b>end;</b></div></div><b>end;</b></div></div>
<b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div>
<b>hence </b><a NAME="E9:45"/>
<font color="Maroon">S<sub>1</sub></font>[ <a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font>, <a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font>]
 <b>by </b><i><a class="txt" href="scmfsa8b.html#E7:45"><i><font color="Green" title="E42">A7</font></i></a></i>;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="45_3"><b>now </b></a><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_3_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:45_3_1"/>
(  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 or  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2 or  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 3 or  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 4 or  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 5 or  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 6 or  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 7 or  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 8 or  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 9 or  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 10 or  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 11 or  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 12 )
 </span><b>by </b><i><a class="txt" href="scmfsa8b.html#E4:45"><i><font color="Green" title="E39">A4</font></i></a>, <a class="txt" href="scmfsa8b.html#E5:45"><i><font color="Green" title="E40">A5</font></i></a>, <a class="txt" href="scmfsa8b.html#E6:45"><i><font color="Green" title="E41">A6</font></i></a>, <a class="ref" href="nat_1.html#T8" title="NAT_1:th.8">NAT_1:8</a>, <a class="ref" href="nat_1.html#T33" title="NAT_1:th.33">NAT_1:33</a></i>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_3_1_1"><b>suppose </b></a><a NAME="E1:45_3_1_1"/>
 <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 ;<br/><div class="add"><a NAME="E2:45_3_1_1"/><b>then </b><i><font color="Green" title="E43">A75</font></i>: 
<font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K5" title="AMI_1:func.5">halt</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> 
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T122" title="SCMFSA_2:th.122">SCMFSA_2:122</a></i>;<br/><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> </span>)</span> = 
 <a href="ami_1.html#K7" title="AMI_1:func.7">IC</a> <font color="Maroon" title="c3">s1</font>
<b>by </b><i><a class="ref" href="ami_1.html#D8" title="AMI_1:def.8">AMI_1:def 8</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> </span>)</span>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45"><i><font color="Green" title="E38">A3</font></i></a>, <a class="txt" href="scmfsa8b.html#E2:45_3_1_1"><i><font color="Green" title="E43">A75</font></i></a>, <a class="ref" href="ami_1.html#D8" title="AMI_1:def.8">AMI_1:def 8</a></i>
;<br/><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_3_1_2"><b>suppose </b></a><a NAME="E1:45_3_1_2"/>
 <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c7">da</font>, <font color="Maroon" title="c8">db</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> <b> such that </b><br/><a NAME="E3:45_3_1_2"/><i><font color="Green" title="E43">A76</font></i>: 
<font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c7">da</font> <a href="scmfsa_2.html#K7" title="SCMFSA_2:func.7">:=</a> <font color="Maroon" title="c8">db</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T54" title="SCMFSA_2:th.54">SCMFSA_2:54</a></i>;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> </span>)</span> = 
 <a href="scmnorm.html#K1" title="SCMNORM:func.1">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K7" title="AMI_1:func.7">IC</a> <font color="Maroon" title="c3">s1</font></span>)</span>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_3_1_2"><i><font color="Green" title="E43">A76</font></i></a>, <a class="ref" href="scmfsa_2.html#T89" title="SCMFSA_2:th.89">SCMFSA_2:89</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> </span>)</span>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45"><i><font color="Green" title="E38">A3</font></i></a>, <a class="txt" href="scmfsa8b.html#E3:45_3_1_2"><i><font color="Green" title="E43">A76</font></i></a>, <a class="ref" href="scmfsa_2.html#T89" title="SCMFSA_2:th.89">SCMFSA_2:89</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_3_1_3"><b>suppose </b></a><a NAME="E1:45_3_1_3"/>
 <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c7">da</font>, <font color="Maroon" title="c8">db</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> <b> such that </b><br/><a NAME="E3:45_3_1_3"/><i><font color="Green" title="E43">A77</font></i>: 
<font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmfsa_2.html#K8" title="SCMFSA_2:func.8">AddTo</a> <font color="Maroon" title="c7">da</font>,<font color="Maroon" title="c8">db</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T55" title="SCMFSA_2:th.55">SCMFSA_2:55</a></i>;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> </span>)</span> = 
 <a href="scmnorm.html#K1" title="SCMNORM:func.1">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K7" title="AMI_1:func.7">IC</a> <font color="Maroon" title="c3">s1</font></span>)</span>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_3_1_3"><i><font color="Green" title="E43">A77</font></i></a>, <a class="ref" href="scmfsa_2.html#T90" title="SCMFSA_2:th.90">SCMFSA_2:90</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> </span>)</span>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45"><i><font color="Green" title="E38">A3</font></i></a>, <a class="txt" href="scmfsa8b.html#E3:45_3_1_3"><i><font color="Green" title="E43">A77</font></i></a>, <a class="ref" href="scmfsa_2.html#T90" title="SCMFSA_2:th.90">SCMFSA_2:90</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_3_1_4"><b>suppose </b></a><a NAME="E1:45_3_1_4"/>
 <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 3
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c7">da</font>, <font color="Maroon" title="c8">db</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> <b> such that </b><br/><a NAME="E3:45_3_1_4"/><i><font color="Green" title="E43">A78</font></i>: 
<font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmfsa_2.html#K9" title="SCMFSA_2:func.9">SubFrom</a> <font color="Maroon" title="c7">da</font>,<font color="Maroon" title="c8">db</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T56" title="SCMFSA_2:th.56">SCMFSA_2:56</a></i>;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> </span>)</span> = 
 <a href="scmnorm.html#K1" title="SCMNORM:func.1">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K7" title="AMI_1:func.7">IC</a> <font color="Maroon" title="c3">s1</font></span>)</span>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_3_1_4"><i><font color="Green" title="E43">A78</font></i></a>, <a class="ref" href="scmfsa_2.html#T91" title="SCMFSA_2:th.91">SCMFSA_2:91</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> </span>)</span>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45"><i><font color="Green" title="E38">A3</font></i></a>, <a class="txt" href="scmfsa8b.html#E3:45_3_1_4"><i><font color="Green" title="E43">A78</font></i></a>, <a class="ref" href="scmfsa_2.html#T91" title="SCMFSA_2:th.91">SCMFSA_2:91</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_3_1_5"><b>suppose </b></a><a NAME="E1:45_3_1_5"/>
 <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 4
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c7">da</font>, <font color="Maroon" title="c8">db</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> <b> such that </b><br/><a NAME="E3:45_3_1_5"/><i><font color="Green" title="E43">A79</font></i>: 
<font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmfsa_2.html#K10" title="SCMFSA_2:func.10">MultBy</a> <font color="Maroon" title="c7">da</font>,<font color="Maroon" title="c8">db</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T57" title="SCMFSA_2:th.57">SCMFSA_2:57</a></i>;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> </span>)</span> = 
 <a href="scmnorm.html#K1" title="SCMNORM:func.1">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K7" title="AMI_1:func.7">IC</a> <font color="Maroon" title="c3">s1</font></span>)</span>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_3_1_5"><i><font color="Green" title="E43">A79</font></i></a>, <a class="ref" href="scmfsa_2.html#T92" title="SCMFSA_2:th.92">SCMFSA_2:92</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> </span>)</span>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45"><i><font color="Green" title="E38">A3</font></i></a>, <a class="txt" href="scmfsa8b.html#E3:45_3_1_5"><i><font color="Green" title="E43">A79</font></i></a>, <a class="ref" href="scmfsa_2.html#T92" title="SCMFSA_2:th.92">SCMFSA_2:92</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_3_1_6"><b>suppose </b></a><a NAME="E1:45_3_1_6"/>
 <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 5
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c7">da</font>, <font color="Maroon" title="c8">db</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> <b> such that </b><br/><a NAME="E3:45_3_1_6"/><i><font color="Green" title="E43">A80</font></i>: 
<font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmfsa_2.html#K11" title="SCMFSA_2:func.11">Divide</a> <font color="Maroon" title="c7">da</font>,<font color="Maroon" title="c8">db</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T58" title="SCMFSA_2:th.58">SCMFSA_2:58</a></i>;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> </span>)</span> = 
 <a href="scmnorm.html#K1" title="SCMNORM:func.1">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K7" title="AMI_1:func.7">IC</a> <font color="Maroon" title="c3">s1</font></span>)</span>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_3_1_6"><i><font color="Green" title="E43">A80</font></i></a>, <a class="ref" href="scmfsa_2.html#T93" title="SCMFSA_2:th.93">SCMFSA_2:93</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> </span>)</span>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45"><i><font color="Green" title="E38">A3</font></i></a>, <a class="txt" href="scmfsa8b.html#E3:45_3_1_6"><i><font color="Green" title="E43">A80</font></i></a>, <a class="ref" href="scmfsa_2.html#T93" title="SCMFSA_2:th.93">SCMFSA_2:93</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_3_1_7"><b>suppose </b></a><a NAME="E1:45_3_1_7"/>
 <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 6
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c7">loc</font> being    <a href="ami_1.html#M3" title="AMI_1:mode.3">Instruction-Location</a> of  <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> <b> such that </b><br/><a NAME="E3:45_3_1_7"/><i><font color="Green" title="E43">A81</font></i>: 
<font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmfsa_2.html#K12" title="SCMFSA_2:func.12">goto</a> <font color="Maroon" title="c7">loc</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T59" title="SCMFSA_2:th.59">SCMFSA_2:59</a></i>;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> </span>)</span> = 
<font color="Maroon" title="c7">loc</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_3_1_7"><i><font color="Green" title="E43">A81</font></i></a>, <a class="ref" href="scmfsa_2.html#T95" title="SCMFSA_2:th.95">SCMFSA_2:95</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> </span>)</span>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_3_1_7"><i><font color="Green" title="E43">A81</font></i></a>, <a class="ref" href="scmfsa_2.html#T95" title="SCMFSA_2:th.95">SCMFSA_2:95</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_3_1_8"><b>suppose </b></a><a NAME="E1:45_3_1_8"/>
 <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 7
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c7">loc</font> being    <a href="ami_1.html#M3" title="AMI_1:mode.3">Instruction-Location</a> of  <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> , <font color="Maroon" title="c8">da</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> <b> such that </b><br/><a NAME="E3:45_3_1_8"/><i><font color="Green" title="E43">A82</font></i>: 
<font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">da</font> <a href="scmfsa_2.html#K13" title="SCMFSA_2:func.13">=0_goto</a> <font color="Maroon" title="c7">loc</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T60" title="SCMFSA_2:th.60">SCMFSA_2:60</a></i>;<br/><a NAME="E4:45_3_1_8"/>
<font color="Maroon" title="c6">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c8">da</font>
 <b>by </b><i><a class="txt" href="scmfsa8b.html#E2:45"><i><font color="Green" title="E37">A2</font></i></a>, <a class="txt" href="scmfsa8b.html#E3:45_3_1_8"><i><font color="Green" title="E43">A82</font></i></a>, <a class="ref" href="scmfsa7b.html#D1" title="SCMFSA7B:def.1">SCMFSA7B:def 1</a></i>;<br/><a NAME="E5:45_3_1_8"/><b>then </b><i><font color="Green" title="E44">A83</font></i>: 
<font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c8">da</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c8">da</font>
 <b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45"><i><font color="Green" title="E36">A1</font></i></a></i>;<br/><div><b>hereby </b>
<div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_3_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="E1:45_3_1_8_1_1"/>
( <font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c8">da</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c8">da</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_3_1_8_1_1_1"><b>suppose </b></a><a NAME="E1:45_3_1_8_1_1_1"/><i><font color="Green" title="E45">A84</font></i>: 
<font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c8">da</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> </span>)</span> = 
<font color="Maroon" title="c7">loc</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_3_1_8"><i><font color="Green" title="E43">A82</font></i></a>, <a class="ref" href="scmfsa_2.html#T96" title="SCMFSA_2:th.96">SCMFSA_2:96</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> </span>)</span>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_3_1_8"><i><font color="Green" title="E43">A82</font></i></a>, <a class="txt" href="scmfsa8b.html#E5:45_3_1_8"><i><font color="Green" title="E44">A83</font></i></a>, <a class="txt" href="scmfsa8b.html#E1:45_3_1_8_1_1_1"><i><font color="Green" title="E45">A84</font></i></a>, <a class="ref" href="scmfsa_2.html#T96" title="SCMFSA_2:th.96">SCMFSA_2:96</a></i>
;<br/><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_3_1_8_1_1_2"><b>suppose </b></a><a NAME="E1:45_3_1_8_1_1_2"/><i><font color="Green" title="E45">A85</font></i>: 
<font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c8">da</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> </span>)</span> = 
 <a href="scmnorm.html#K1" title="SCMNORM:func.1">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K7" title="AMI_1:func.7">IC</a> <font color="Maroon" title="c3">s1</font></span>)</span>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_3_1_8"><i><font color="Green" title="E43">A82</font></i></a>, <a class="ref" href="scmfsa_2.html#T96" title="SCMFSA_2:th.96">SCMFSA_2:96</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> </span>)</span>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45"><i><font color="Green" title="E38">A3</font></i></a>, <a class="txt" href="scmfsa8b.html#E3:45_3_1_8"><i><font color="Green" title="E43">A82</font></i></a>, <a class="txt" href="scmfsa8b.html#E5:45_3_1_8"><i><font color="Green" title="E44">A83</font></i></a>, <a class="txt" href="scmfsa8b.html#E1:45_3_1_8_1_1_2"><i><font color="Green" title="E45">A85</font></i></a>, <a class="ref" href="scmfsa_2.html#T96" title="SCMFSA_2:th.96">SCMFSA_2:96</a></i>
;<br/><br/></div><b>end;</b></div></div><b>end;</b></div></div>
<b>end;</b></div></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_3_1_9"><b>suppose </b></a><a NAME="E1:45_3_1_9"/>
 <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 8
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c7">loc</font> being    <a href="ami_1.html#M3" title="AMI_1:mode.3">Instruction-Location</a> of  <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> , <font color="Maroon" title="c8">da</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> <b> such that </b><br/><a NAME="E3:45_3_1_9"/><i><font color="Green" title="E43">A86</font></i>: 
<font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">da</font> <a href="scmfsa_2.html#K14" title="SCMFSA_2:func.14">&gt;0_goto</a> <font color="Maroon" title="c7">loc</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T61" title="SCMFSA_2:th.61">SCMFSA_2:61</a></i>;<br/><a NAME="E4:45_3_1_9"/>
<font color="Maroon" title="c6">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c8">da</font>
 <b>by </b><i><a class="txt" href="scmfsa8b.html#E2:45"><i><font color="Green" title="E37">A2</font></i></a>, <a class="txt" href="scmfsa8b.html#E3:45_3_1_9"><i><font color="Green" title="E43">A86</font></i></a>, <a class="ref" href="scmfsa7b.html#D1" title="SCMFSA7B:def.1">SCMFSA7B:def 1</a></i>;<br/><a NAME="E5:45_3_1_9"/><b>then </b><i><font color="Green" title="E44">A87</font></i>: 
<font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c8">da</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">s2</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c8">da</font>
 <b>by </b><i><a class="txt" href="scmfsa8b.html#E1:45"><i><font color="Green" title="E36">A1</font></i></a></i>;<br/><div><b>hereby </b>
<div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_3_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="E1:45_3_1_9_1_1"/>
( <font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c8">da</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c8">da</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_3_1_9_1_1_1"><b>suppose </b></a><a NAME="E1:45_3_1_9_1_1_1"/><i><font color="Green" title="E45">A88</font></i>: 
<font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c8">da</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> </span>)</span> = 
<font color="Maroon" title="c7">loc</font>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_3_1_9"><i><font color="Green" title="E43">A86</font></i></a>, <a class="ref" href="scmfsa_2.html#T97" title="SCMFSA_2:th.97">SCMFSA_2:97</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> </span>)</span>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_3_1_9"><i><font color="Green" title="E43">A86</font></i></a>, <a class="txt" href="scmfsa8b.html#E5:45_3_1_9"><i><font color="Green" title="E44">A87</font></i></a>, <a class="txt" href="scmfsa8b.html#E1:45_3_1_9_1_1_1"><i><font color="Green" title="E45">A88</font></i></a>, <a class="ref" href="scmfsa_2.html#T97" title="SCMFSA_2:th.97">SCMFSA_2:97</a></i>
;<br/><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_3_1_9_1_1_2"><b>suppose </b></a><a NAME="E1:45_3_1_9_1_1_2"/><i><font color="Green" title="E45">A89</font></i>: 
<font color="Maroon" title="c3">s1</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <font color="Maroon" title="c8">da</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> </span>)</span> = 
 <a href="scmnorm.html#K1" title="SCMNORM:func.1">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K7" title="AMI_1:func.7">IC</a> <font color="Maroon" title="c3">s1</font></span>)</span>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_3_1_9"><i><font color="Green" title="E43">A86</font></i></a>, <a class="ref" href="scmfsa_2.html#T97" title="SCMFSA_2:th.97">SCMFSA_2:97</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> </span>)</span>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45"><i><font color="Green" title="E38">A3</font></i></a>, <a class="txt" href="scmfsa8b.html#E3:45_3_1_9"><i><font color="Green" title="E43">A86</font></i></a>, <a class="txt" href="scmfsa8b.html#E5:45_3_1_9"><i><font color="Green" title="E44">A87</font></i></a>, <a class="txt" href="scmfsa8b.html#E1:45_3_1_9_1_1_2"><i><font color="Green" title="E45">A89</font></i></a>, <a class="ref" href="scmfsa_2.html#T97" title="SCMFSA_2:th.97">SCMFSA_2:97</a></i>
;<br/><br/></div><b>end;</b></div></div><b>end;</b></div></div>
<b>end;</b></div></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_3_1_10"><b>suppose </b></a><a NAME="E1:45_3_1_10"/>
 <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 9
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c7">db</font>, <font color="Maroon" title="c8">da</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> , <font color="Maroon" title="c9">g</font> being    <a href="scmfsa_2.html#M2" title="SCMFSA_2:mode.2">FinSeq-Location</a> <b> such that </b><br/><a NAME="E3:45_3_1_10"/><i><font color="Green" title="E43">A90</font></i>: 
<font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">da</font> <a href="scmfsa_2.html#K15" title="SCMFSA_2:func.15">:=</a> <font color="Maroon" title="c9">g</font>,<font color="Maroon" title="c7">db</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T62" title="SCMFSA_2:th.62">SCMFSA_2:62</a></i>;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> </span>)</span> = 
 <a href="scmnorm.html#K1" title="SCMNORM:func.1">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K7" title="AMI_1:func.7">IC</a> <font color="Maroon" title="c3">s1</font></span>)</span>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_3_1_10"><i><font color="Green" title="E43">A90</font></i></a>, <a class="ref" href="scmfsa_2.html#T98" title="SCMFSA_2:th.98">SCMFSA_2:98</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> </span>)</span>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45"><i><font color="Green" title="E38">A3</font></i></a>, <a class="txt" href="scmfsa8b.html#E3:45_3_1_10"><i><font color="Green" title="E43">A90</font></i></a>, <a class="ref" href="scmfsa_2.html#T98" title="SCMFSA_2:th.98">SCMFSA_2:98</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_3_1_11"><b>suppose </b></a><a NAME="E1:45_3_1_11"/>
 <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 10
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c7">db</font>, <font color="Maroon" title="c8">da</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> , <font color="Maroon" title="c9">g</font> being    <a href="scmfsa_2.html#M2" title="SCMFSA_2:mode.2">FinSeq-Location</a> <b> such that </b><br/><a NAME="E3:45_3_1_11"/><i><font color="Green" title="E43">A91</font></i>: 
<font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c9">g</font>,<font color="Maroon" title="c7">db</font> <a href="scmfsa_2.html#K16" title="SCMFSA_2:func.16">:=</a> <font color="Maroon" title="c8">da</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T63" title="SCMFSA_2:th.63">SCMFSA_2:63</a></i>;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> </span>)</span> = 
 <a href="scmnorm.html#K1" title="SCMNORM:func.1">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K7" title="AMI_1:func.7">IC</a> <font color="Maroon" title="c3">s1</font></span>)</span>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_3_1_11"><i><font color="Green" title="E43">A91</font></i></a>, <a class="ref" href="scmfsa_2.html#T99" title="SCMFSA_2:th.99">SCMFSA_2:99</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> </span>)</span>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45"><i><font color="Green" title="E38">A3</font></i></a>, <a class="txt" href="scmfsa8b.html#E3:45_3_1_11"><i><font color="Green" title="E43">A91</font></i></a>, <a class="ref" href="scmfsa_2.html#T99" title="SCMFSA_2:th.99">SCMFSA_2:99</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_3_1_12"><b>suppose </b></a><a NAME="E1:45_3_1_12"/>
 <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 11
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c7">da</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> , <font color="Maroon" title="c8">g</font> being    <a href="scmfsa_2.html#M2" title="SCMFSA_2:mode.2">FinSeq-Location</a> <b> such that </b><br/><a NAME="E3:45_3_1_12"/><i><font color="Green" title="E43">A92</font></i>: 
<font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c7">da</font> <a href="scmfsa_2.html#K17" title="SCMFSA_2:func.17">:=len</a> <font color="Maroon" title="c8">g</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T64" title="SCMFSA_2:th.64">SCMFSA_2:64</a></i>;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> </span>)</span> = 
 <a href="scmnorm.html#K1" title="SCMNORM:func.1">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K7" title="AMI_1:func.7">IC</a> <font color="Maroon" title="c3">s1</font></span>)</span>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_3_1_12"><i><font color="Green" title="E43">A92</font></i></a>, <a class="ref" href="scmfsa_2.html#T100" title="SCMFSA_2:th.100">SCMFSA_2:100</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> </span>)</span>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45"><i><font color="Green" title="E38">A3</font></i></a>, <a class="txt" href="scmfsa8b.html#E3:45_3_1_12"><i><font color="Green" title="E43">A92</font></i></a>, <a class="ref" href="scmfsa_2.html#T100" title="SCMFSA_2:th.100">SCMFSA_2:100</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="45_3_1_13"><b>suppose </b></a><a NAME="E1:45_3_1_13"/>
 <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 12
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c7">da</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> , <font color="Maroon" title="c8">g</font> being    <a href="scmfsa_2.html#M2" title="SCMFSA_2:mode.2">FinSeq-Location</a> <b> such that </b><br/><a NAME="E3:45_3_1_13"/><i><font color="Green" title="E43">A93</font></i>: 
<font color="Maroon" title="c5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">g</font> <a href="scmfsa_2.html#K18" title="SCMFSA_2:func.18">:=&lt;0,...,0&gt;</a> <font color="Maroon" title="c7">da</font>
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T65" title="SCMFSA_2:th.65">SCMFSA_2:65</a></i>;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> </span>)</span> = 
 <a href="scmnorm.html#K1" title="SCMNORM:func.1">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K7" title="AMI_1:func.7">IC</a> <font color="Maroon" title="c3">s1</font></span>)</span>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45_3_1_13"><i><font color="Green" title="E43">A93</font></i></a>, <a class="ref" href="scmfsa_2.html#T101" title="SCMFSA_2:th.101">SCMFSA_2:101</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> </span>)</span>
<b>by </b><i><a class="txt" href="scmfsa8b.html#E3:45"><i><font color="Green" title="E38">A3</font></i></a>, <a class="txt" href="scmfsa8b.html#E3:45_3_1_13"><i><font color="Green" title="E43">A93</font></i></a>, <a class="ref" href="scmfsa_2.html#T101" title="SCMFSA_2:th.101">SCMFSA_2:101</a></i>
;<br/></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div>
<b>hence </b><a NAME="E11:45"/>
 <a href="ami_1.html#K7" title="AMI_1:func.7">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c3">s1</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K7" title="AMI_1:func.7">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c5">i</font>,<font color="Maroon" title="c4">s2</font></span>)</span>
 ;<br/>


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