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

<b>let </b><font color="Maroon" title="c3">i</font> be   <a href="ami_1.html#NM3" title="AMI_1:NM.3">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="c4">a</font> be    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> ;<br/><b>let </b><font color="Maroon" title="c5">n</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ;<br/>





<b>assume </b><a NAME="E1:20"/><i><font color="Green" title="E18">A1</font></i>: 
<font color="Maroon" title="c3">i</font> <a href="scmfsa7b.html#R3" title="SCMFSA7B:pred.3">does_not_destroy</a> <font color="Maroon" title="c4">a</font>
 ;<br/>

<a NAME="E2:20"/><i><font color="Green" title="E19">A2</font></i>: 
 <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> 11 <a href="nat_1.html#K1" title="NAT_1:func.1">+</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="E3:20"/><i><font color="Green" title="E20">A3</font></i>: 
(  not  <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> 10 <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1 or  <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> 10 or  <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c3">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="E4:20"/><i><font color="Green" title="E21">A4</font></i>: 
(  not  <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> 9 <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1 or  <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> 8 <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1 or  <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c3">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/>
<a NAME="E5:20"/><i><font color="Green" title="E22">A5</font></i>: 
(  not  <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> 8 <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1 or  <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> 7 <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1 or  <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 9 )
 
<b>by </b><i><a class="ref" href="nat_1.html#T8" title="NAT_1:th.8">NAT_1:8</a></i>;<br/>
<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="20_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:20_1"/>
(  <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 0 or  <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 or  <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2 or  <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 3 or  <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 4 or  <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 5 or  <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 6 or  <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 7 or  <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 8 or  <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 9 or  <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 10 or  <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 11 or  <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 12 )
 </span><b>by </b><i><a class="txt" href="scmfsa8a.html#E2:20"><i><font color="Green" title="E19">A2</font></i></a>, <a class="txt" href="scmfsa8a.html#E3:20"><i><font color="Green" title="E20">A3</font></i></a>, <a class="txt" href="scmfsa8a.html#E4:20"><i><font color="Green" title="E21">A4</font></i></a>, <a class="txt" href="scmfsa8a.html#E5:20"><i><font color="Green" title="E22">A5</font></i></a>, <a class="ref" href="nat_1.html#T33" title="NAT_1:th.33">NAT_1:33</a>, <a class="ref" href="nat_1.html#T8" title="NAT_1:th.8">NAT_1:8</a></i>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="20_1_1"><b>suppose </b></a><a NAME="E1:20_1_1"/>
 <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 0
 ;<br/><div class="add"><a NAME="E2:20_1_1"/><b>then </b>
<font color="Maroon" title="c3">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/><a NAME="E3:20_1_1"/><b>then </b>
 <a href="scmfsa_4.html#K3" title="SCMFSA_4:func.3">IncAddr</a> <font color="Maroon" title="c3">i</font>,<font color="Maroon" title="c5">n</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_4.html#T8" title="SCMFSA_4:th.8">SCMFSA_4:8</a></i>;<br/><b>hence </b><a NAME="E4:20_1_1"/>
 <a href="scmfsa_4.html#K3" title="SCMFSA_4:func.3">IncAddr</a> <font color="Maroon" title="c3">i</font>,<font color="Maroon" title="c5">n</font> <a href="scmfsa7b.html#R3" title="SCMFSA7B:pred.3">does_not_destroy</a> <font color="Maroon" title="c4">a</font>
 <b>by </b><i><a class="ref" href="scmfsa7b.html#T11" title="SCMFSA7B:th.11">SCMFSA7B:11</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="20_1_2"><b>suppose </b></a><a NAME="E1:20_1_2"/>
 <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c3">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="c6">da</font>, <font color="Maroon" title="c7">db</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> <b> such that </b><br/><a NAME="E3:20_1_2"/><i><font color="Green" title="E23">A6</font></i>: 
<font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">da</font> <a href="scmfsa_2.html#K8" title="SCMFSA_2:func.8">:=</a> <font color="Maroon" title="c7">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><a NAME="E4:20_1_2"/>
 <a href="scmfsa_4.html#K3" title="SCMFSA_4:func.3">IncAddr</a> <font color="Maroon" title="c3">i</font>,<font color="Maroon" title="c5">n</font> <a href="scmfsa7b.html#R3" title="SCMFSA7B:pred.3">does_not_destroy</a> <font color="Maroon" title="c4">a</font>
 <b>by </b><i><a class="txt" href="scmfsa8a.html#E1:20"><i><font color="Green" title="E18">A1</font></i></a>, <a class="txt" href="scmfsa8a.html#E3:20_1_2"><i><font color="Green" title="E23">A6</font></i></a>, <a class="ref" href="scmfsa_4.html#T9" title="SCMFSA_4:th.9">SCMFSA_4:9</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="20_1_3"><b>suppose </b></a><a NAME="E1:20_1_3"/>
 <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c3">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="c6">da</font>, <font color="Maroon" title="c7">db</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> <b> such that </b><br/><a NAME="E3:20_1_3"/><i><font color="Green" title="E23">A7</font></i>: 
<font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmfsa_2.html#K9" title="SCMFSA_2:func.9">AddTo</a> <font color="Maroon" title="c6">da</font>,<font color="Maroon" title="c7">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><a NAME="E4:20_1_3"/>
 <a href="scmfsa_4.html#K3" title="SCMFSA_4:func.3">IncAddr</a> <font color="Maroon" title="c3">i</font>,<font color="Maroon" title="c5">n</font> <a href="scmfsa7b.html#R3" title="SCMFSA7B:pred.3">does_not_destroy</a> <font color="Maroon" title="c4">a</font>
 <b>by </b><i><a class="txt" href="scmfsa8a.html#E1:20"><i><font color="Green" title="E18">A1</font></i></a>, <a class="txt" href="scmfsa8a.html#E3:20_1_3"><i><font color="Green" title="E23">A7</font></i></a>, <a class="ref" href="scmfsa_4.html#T10" title="SCMFSA_4:th.10">SCMFSA_4:10</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="20_1_4"><b>suppose </b></a><a NAME="E1:20_1_4"/>
 <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c3">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="c6">da</font>, <font color="Maroon" title="c7">db</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> <b> such that </b><br/><a NAME="E3:20_1_4"/><i><font color="Green" title="E23">A8</font></i>: 
<font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmfsa_2.html#K10" title="SCMFSA_2:func.10">SubFrom</a> <font color="Maroon" title="c6">da</font>,<font color="Maroon" title="c7">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><a NAME="E4:20_1_4"/>
 <a href="scmfsa_4.html#K3" title="SCMFSA_4:func.3">IncAddr</a> <font color="Maroon" title="c3">i</font>,<font color="Maroon" title="c5">n</font> <a href="scmfsa7b.html#R3" title="SCMFSA7B:pred.3">does_not_destroy</a> <font color="Maroon" title="c4">a</font>
 <b>by </b><i><a class="txt" href="scmfsa8a.html#E1:20"><i><font color="Green" title="E18">A1</font></i></a>, <a class="txt" href="scmfsa8a.html#E3:20_1_4"><i><font color="Green" title="E23">A8</font></i></a>, <a class="ref" href="scmfsa_4.html#T11" title="SCMFSA_4:th.11">SCMFSA_4:11</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="20_1_5"><b>suppose </b></a><a NAME="E1:20_1_5"/>
 <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c3">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="c6">da</font>, <font color="Maroon" title="c7">db</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> <b> such that </b><br/><a NAME="E3:20_1_5"/><i><font color="Green" title="E23">A9</font></i>: 
<font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmfsa_2.html#K11" title="SCMFSA_2:func.11">MultBy</a> <font color="Maroon" title="c6">da</font>,<font color="Maroon" title="c7">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><a NAME="E4:20_1_5"/>
 <a href="scmfsa_4.html#K3" title="SCMFSA_4:func.3">IncAddr</a> <font color="Maroon" title="c3">i</font>,<font color="Maroon" title="c5">n</font> <a href="scmfsa7b.html#R3" title="SCMFSA7B:pred.3">does_not_destroy</a> <font color="Maroon" title="c4">a</font>
 <b>by </b><i><a class="txt" href="scmfsa8a.html#E1:20"><i><font color="Green" title="E18">A1</font></i></a>, <a class="txt" href="scmfsa8a.html#E3:20_1_5"><i><font color="Green" title="E23">A9</font></i></a>, <a class="ref" href="scmfsa_4.html#T12" title="SCMFSA_4:th.12">SCMFSA_4:12</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="20_1_6"><b>suppose </b></a><a NAME="E1:20_1_6"/>
 <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c3">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="c6">da</font>, <font color="Maroon" title="c7">db</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> <b> such that </b><br/><a NAME="E3:20_1_6"/><i><font color="Green" title="E23">A10</font></i>: 
<font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmfsa_2.html#K12" title="SCMFSA_2:func.12">Divide</a> <font color="Maroon" title="c6">da</font>,<font color="Maroon" title="c7">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><a NAME="E4:20_1_6"/>
 <a href="scmfsa_4.html#K3" title="SCMFSA_4:func.3">IncAddr</a> <font color="Maroon" title="c3">i</font>,<font color="Maroon" title="c5">n</font> <a href="scmfsa7b.html#R3" title="SCMFSA7B:pred.3">does_not_destroy</a> <font color="Maroon" title="c4">a</font>
 <b>by </b><i><a class="txt" href="scmfsa8a.html#E1:20"><i><font color="Green" title="E18">A1</font></i></a>, <a class="txt" href="scmfsa8a.html#E3:20_1_6"><i><font color="Green" title="E23">A10</font></i></a>, <a class="ref" href="scmfsa_4.html#T13" title="SCMFSA_4:th.13">SCMFSA_4:13</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="20_1_7"><b>suppose </b></a><a NAME="E1:20_1_7"/>
 <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c3">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="c6">loc</font> being    <a href="ami_1.html#M1" title="AMI_1:mode.1">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="E3:20_1_7"/><i><font color="Green" title="E23">A11</font></i>: 
<font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmfsa_2.html#K13" title="SCMFSA_2:func.13">goto</a> <font color="Maroon" title="c6">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/><a NAME="E4:20_1_7"/>
 <a href="scmfsa_4.html#K3" title="SCMFSA_4:func.3">IncAddr</a> <font color="Maroon" title="c3">i</font>,<font color="Maroon" title="c5">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmfsa_2.html#K13" title="SCMFSA_2:func.13">goto</a> <span class="p1">(<span class="default"><font color="Maroon" title="c6">loc</font> <a href="scmfsa_4.html#K1" title="SCMFSA_4:func.1">+</a> <font color="Maroon" title="c5">n</font></span>)</span>
 <b>by </b><i><a class="txt" href="scmfsa8a.html#E3:20_1_7"><i><font color="Green" title="E23">A11</font></i></a>, <a class="ref" href="scmfsa_4.html#T14" title="SCMFSA_4:th.14">SCMFSA_4:14</a></i>;<br/><b>hence </b><a NAME="E5:20_1_7"/>
 <a href="scmfsa_4.html#K3" title="SCMFSA_4:func.3">IncAddr</a> <font color="Maroon" title="c3">i</font>,<font color="Maroon" title="c5">n</font> <a href="scmfsa7b.html#R3" title="SCMFSA7B:pred.3">does_not_destroy</a> <font color="Maroon" title="c4">a</font>
 <b>by </b><i><a class="ref" href="scmfsa7b.html#T17" title="SCMFSA7B:th.17">SCMFSA7B:17</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="20_1_8"><b>suppose </b></a><a NAME="E1:20_1_8"/>
 <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c3">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="c6">loc</font> being    <a href="ami_1.html#M1" title="AMI_1:mode.1">Instruction-Location</a> of  <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> , <font color="Maroon" title="c7">da</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> <b> such that </b><br/><a NAME="E3:20_1_8"/><i><font color="Green" title="E23">A12</font></i>: 
<font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c7">da</font> <a href="scmfsa_2.html#K14" title="SCMFSA_2:func.14">=0_goto</a> <font color="Maroon" title="c6">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="E4:20_1_8"/>
 <a href="scmfsa_4.html#K3" title="SCMFSA_4:func.3">IncAddr</a> <font color="Maroon" title="c3">i</font>,<font color="Maroon" title="c5">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c7">da</font> <a href="scmfsa_2.html#K14" title="SCMFSA_2:func.14">=0_goto</a> <span class="p1">(<span class="default"><font color="Maroon" title="c6">loc</font> <a href="scmfsa_4.html#K1" title="SCMFSA_4:func.1">+</a> <font color="Maroon" title="c5">n</font></span>)</span>
 <b>by </b><i><a class="txt" href="scmfsa8a.html#E3:20_1_8"><i><font color="Green" title="E23">A12</font></i></a>, <a class="ref" href="scmfsa_4.html#T15" title="SCMFSA_4:th.15">SCMFSA_4:15</a></i>;<br/><b>hence </b><a NAME="E5:20_1_8"/>
 <a href="scmfsa_4.html#K3" title="SCMFSA_4:func.3">IncAddr</a> <font color="Maroon" title="c3">i</font>,<font color="Maroon" title="c5">n</font> <a href="scmfsa7b.html#R3" title="SCMFSA7B:pred.3">does_not_destroy</a> <font color="Maroon" title="c4">a</font>
 <b>by </b><i><a class="ref" href="scmfsa7b.html#T18" title="SCMFSA7B:th.18">SCMFSA7B:18</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="20_1_9"><b>suppose </b></a><a NAME="E1:20_1_9"/>
 <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c3">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="c6">loc</font> being    <a href="ami_1.html#M1" title="AMI_1:mode.1">Instruction-Location</a> of  <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> , <font color="Maroon" title="c7">da</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> <b> such that </b><br/><a NAME="E3:20_1_9"/><i><font color="Green" title="E23">A13</font></i>: 
<font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c7">da</font> <a href="scmfsa_2.html#K15" title="SCMFSA_2:func.15">&gt;0_goto</a> <font color="Maroon" title="c6">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="E4:20_1_9"/>
 <a href="scmfsa_4.html#K3" title="SCMFSA_4:func.3">IncAddr</a> <font color="Maroon" title="c3">i</font>,<font color="Maroon" title="c5">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c7">da</font> <a href="scmfsa_2.html#K15" title="SCMFSA_2:func.15">&gt;0_goto</a> <span class="p1">(<span class="default"><font color="Maroon" title="c6">loc</font> <a href="scmfsa_4.html#K1" title="SCMFSA_4:func.1">+</a> <font color="Maroon" title="c5">n</font></span>)</span>
 <b>by </b><i><a class="txt" href="scmfsa8a.html#E3:20_1_9"><i><font color="Green" title="E23">A13</font></i></a>, <a class="ref" href="scmfsa_4.html#T16" title="SCMFSA_4:th.16">SCMFSA_4:16</a></i>;<br/><b>hence </b><a NAME="E5:20_1_9"/>
 <a href="scmfsa_4.html#K3" title="SCMFSA_4:func.3">IncAddr</a> <font color="Maroon" title="c3">i</font>,<font color="Maroon" title="c5">n</font> <a href="scmfsa7b.html#R3" title="SCMFSA7B:pred.3">does_not_destroy</a> <font color="Maroon" title="c4">a</font>
 <b>by </b><i><a class="ref" href="scmfsa7b.html#T19" title="SCMFSA7B:th.19">SCMFSA7B:19</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="20_1_10"><b>suppose </b></a><a NAME="E1:20_1_10"/>
 <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c3">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="c6">db</font>, <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="E3:20_1_10"/><i><font color="Green" title="E23">A14</font></i>: 
<font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c7">da</font> <a href="scmfsa_2.html#K16" title="SCMFSA_2:func.16">:=</a> <font color="Maroon" title="c8">g</font>,<font color="Maroon" title="c6">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><a NAME="E4:20_1_10"/>
 <a href="scmfsa_4.html#K3" title="SCMFSA_4:func.3">IncAddr</a> <font color="Maroon" title="c3">i</font>,<font color="Maroon" title="c5">n</font> <a href="scmfsa7b.html#R3" title="SCMFSA7B:pred.3">does_not_destroy</a> <font color="Maroon" title="c4">a</font>
 <b>by </b><i><a class="txt" href="scmfsa8a.html#E1:20"><i><font color="Green" title="E18">A1</font></i></a>, <a class="txt" href="scmfsa8a.html#E3:20_1_10"><i><font color="Green" title="E23">A14</font></i></a>, <a class="ref" href="scmfsa_4.html#T17" title="SCMFSA_4:th.17">SCMFSA_4:17</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="20_1_11"><b>suppose </b></a><a NAME="E1:20_1_11"/>
 <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c3">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="c6">db</font>, <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="E3:20_1_11"/><i><font color="Green" title="E23">A15</font></i>: 
<font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">g</font>,<font color="Maroon" title="c6">db</font> <a href="scmfsa_2.html#K17" title="SCMFSA_2:func.17">:=</a> <font color="Maroon" title="c7">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><a NAME="E4:20_1_11"/>
 <a href="scmfsa_4.html#K3" title="SCMFSA_4:func.3">IncAddr</a> <font color="Maroon" title="c3">i</font>,<font color="Maroon" title="c5">n</font> <a href="scmfsa7b.html#R3" title="SCMFSA7B:pred.3">does_not_destroy</a> <font color="Maroon" title="c4">a</font>
 <b>by </b><i><a class="txt" href="scmfsa8a.html#E1:20"><i><font color="Green" title="E18">A1</font></i></a>, <a class="txt" href="scmfsa8a.html#E3:20_1_11"><i><font color="Green" title="E23">A15</font></i></a>, <a class="ref" href="scmfsa_4.html#T18" title="SCMFSA_4:th.18">SCMFSA_4:18</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="20_1_12"><b>suppose </b></a><a NAME="E1:20_1_12"/>
 <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c3">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="c6">da</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> , <font color="Maroon" title="c7">g</font> being    <a href="scmfsa_2.html#M2" title="SCMFSA_2:mode.2">FinSeq-Location</a> <b> such that </b><br/><a NAME="E3:20_1_12"/><i><font color="Green" title="E23">A16</font></i>: 
<font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">da</font> <a href="scmfsa_2.html#K18" title="SCMFSA_2:func.18">:=len</a> <font color="Maroon" title="c7">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><a NAME="E4:20_1_12"/>
 <a href="scmfsa_4.html#K3" title="SCMFSA_4:func.3">IncAddr</a> <font color="Maroon" title="c3">i</font>,<font color="Maroon" title="c5">n</font> <a href="scmfsa7b.html#R3" title="SCMFSA7B:pred.3">does_not_destroy</a> <font color="Maroon" title="c4">a</font>
 <b>by </b><i><a class="txt" href="scmfsa8a.html#E1:20"><i><font color="Green" title="E18">A1</font></i></a>, <a class="txt" href="scmfsa8a.html#E3:20_1_12"><i><font color="Green" title="E23">A16</font></i></a>, <a class="ref" href="scmfsa_4.html#T19" title="SCMFSA_4:th.19">SCMFSA_4:19</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="20_1_13"><b>suppose </b></a><a NAME="E1:20_1_13"/>
 <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c3">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="c6">da</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> , <font color="Maroon" title="c7">g</font> being    <a href="scmfsa_2.html#M2" title="SCMFSA_2:mode.2">FinSeq-Location</a> <b> such that </b><br/><a NAME="E3:20_1_13"/><i><font color="Green" title="E23">A17</font></i>: 
<font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c7">g</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">:=&lt;0,...,0&gt;</a> <font color="Maroon" title="c6">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><a NAME="E4:20_1_13"/>
 <a href="scmfsa_4.html#K3" title="SCMFSA_4:func.3">IncAddr</a> <font color="Maroon" title="c3">i</font>,<font color="Maroon" title="c5">n</font> <a href="scmfsa7b.html#R3" title="SCMFSA7B:pred.3">does_not_destroy</a> <font color="Maroon" title="c4">a</font>
 <b>by </b><i><a class="txt" href="scmfsa8a.html#E1:20"><i><font color="Green" title="E18">A1</font></i></a>, <a class="txt" href="scmfsa8a.html#E3:20_1_13"><i><font color="Green" title="E23">A17</font></i></a>, <a class="ref" href="scmfsa_4.html#T20" title="SCMFSA_4:th.20">SCMFSA_4:20</a></i>;<br/></div><b>end;</b></div></div><b>end;</b></div>

</div>
