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

<b>thus </b><a NAME="E1:77_1_1"/>
 <a href="ami_3.html#K1">SCM</a>  is <a href="amistd_2.html#V11">IC-good</a>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="77_1_1_1"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="ami_1.html#NM3">Instruction</a> of <a href="ami_3.html#K1">SCM</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="amistd_2.html#D18">AMISTD_2:def 18</a><br/>

<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:77_1_1_1_1"/>
( <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default">0,<a href="xboole_0.html#K1">{}</a> </span><a href="tarski.html#K4">]</a></span> or ex <font color="Olive">b<sub>1</sub></font>, <font color="Olive">b<sub>2</sub></font> being   <a href="ami_3.html#M1">Data-Location</a>  st <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Olive">b<sub>1</sub></font> <a href="ami_3.html#K3">:=</a> <font color="Olive">b<sub>2</sub></font> or ex <font color="Olive">b<sub>1</sub></font>, <font color="Olive">b<sub>2</sub></font> being   <a href="ami_3.html#M1">Data-Location</a>  st <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_3.html#K4">AddTo</a> <font color="Olive">b<sub>1</sub></font>,<font color="Olive">b<sub>2</sub></font> or ex <font color="Olive">b<sub>1</sub></font>, <font color="Olive">b<sub>2</sub></font> being   <a href="ami_3.html#M1">Data-Location</a>  st <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_3.html#K5">SubFrom</a> <font color="Olive">b<sub>1</sub></font>,<font color="Olive">b<sub>2</sub></font> or ex <font color="Olive">b<sub>1</sub></font>, <font color="Olive">b<sub>2</sub></font> being   <a href="ami_3.html#M1">Data-Location</a>  st <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_3.html#K6">MultBy</a> <font color="Olive">b<sub>1</sub></font>,<font color="Olive">b<sub>2</sub></font> or ex <font color="Olive">b<sub>1</sub></font>, <font color="Olive">b<sub>2</sub></font> being   <a href="ami_3.html#M1">Data-Location</a>  st <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_3.html#K7">Divide</a> <font color="Olive">b<sub>1</sub></font>,<font color="Olive">b<sub>2</sub></font> or ex <font color="Olive">b<sub>1</sub></font> being  <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="ami_3.html#K1">SCM</a>  st <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_3.html#K8">goto</a> <font color="Olive">b<sub>1</sub></font> or ex <font color="Olive">b<sub>1</sub></font> being   <a href="ami_3.html#M1">Data-Location</a> ex <font color="Olive">b<sub>2</sub></font> being  <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="ami_3.html#K1">SCM</a>  st <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Olive">b<sub>1</sub></font> <a href="ami_3.html#K9">=0_goto</a> <font color="Olive">b<sub>2</sub></font> or ex <font color="Olive">b<sub>1</sub></font> being   <a href="ami_3.html#M1">Data-Location</a> ex <font color="Olive">b<sub>2</sub></font> being  <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="ami_3.html#K1">SCM</a>  st <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Olive">b<sub>1</sub></font> <a href="ami_3.html#K10">&gt;0_goto</a> <font color="Olive">b<sub>2</sub></font> )
 </span><b>by </b><i><a class="ref" href="ami_3.html#T69">AMI_3:69</a></i>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_1_1_1"><b>suppose </b></a><a NAME="E1:77_1_1_1_1_1"/>
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default">0,<a href="xboole_0.html#K1">{}</a> </span><a href="tarski.html#K4">]</a></span>
 ;<br/><div class="add"><b>hence </b><a NAME="E2:77_1_1_1_1_1"/>
<font color="Maroon">c<sub>1</sub></font> is <a href="amistd_2.html#V10">IC-good</a>
 <b>by </b><i><a class="ref" href="ami_3.html#T71">AMI_3:71</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_1_1_2"><b>suppose </b></a><a NAME="E1:77_1_1_1_1_2"/>
ex <font color="Olive">b<sub>1</sub></font>, <font color="Olive">b<sub>2</sub></font> being   <a href="ami_3.html#M1">Data-Location</a>  st <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Olive">b<sub>1</sub></font> <a href="ami_3.html#K3">:=</a> <font color="Olive">b<sub>2</sub></font>
 ;<br/><div class="add"><b>then consider </b><font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font> being    <a href="ami_3.html#M1">Data-Location</a> <b> such that </b><br/><a NAME="E3:77_1_1_1_1_2"/><i><font color="Green">E65</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">c<sub>3</sub></font>
 ;<br/><b>thus </b><a NAME="E4:77_1_1_1_1_2"/>
<font color="Maroon">c<sub>1</sub></font> is <a href="amistd_2.html#V10">IC-good</a>
 <b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_1_1_2"><i><font color="Green">E65</font></i></a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_1_1_3"><b>suppose </b></a><a NAME="E1:77_1_1_1_1_3"/>
ex <font color="Olive">b<sub>1</sub></font>, <font color="Olive">b<sub>2</sub></font> being   <a href="ami_3.html#M1">Data-Location</a>  st <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_3.html#K4">AddTo</a> <font color="Olive">b<sub>1</sub></font>,<font color="Olive">b<sub>2</sub></font>
 ;<br/><div class="add"><b>then consider </b><font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font> being    <a href="ami_3.html#M1">Data-Location</a> <b> such that </b><br/><a NAME="E3:77_1_1_1_1_3"/><i><font color="Green">E65</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_3.html#K4">AddTo</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 ;<br/><b>thus </b><a NAME="E4:77_1_1_1_1_3"/>
<font color="Maroon">c<sub>1</sub></font> is <a href="amistd_2.html#V10">IC-good</a>
 <b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_1_1_3"><i><font color="Green">E65</font></i></a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_1_1_4"><b>suppose </b></a><a NAME="E1:77_1_1_1_1_4"/>
ex <font color="Olive">b<sub>1</sub></font>, <font color="Olive">b<sub>2</sub></font> being   <a href="ami_3.html#M1">Data-Location</a>  st <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_3.html#K5">SubFrom</a> <font color="Olive">b<sub>1</sub></font>,<font color="Olive">b<sub>2</sub></font>
 ;<br/><div class="add"><b>then consider </b><font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font> being    <a href="ami_3.html#M1">Data-Location</a> <b> such that </b><br/><a NAME="E3:77_1_1_1_1_4"/><i><font color="Green">E65</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_3.html#K5">SubFrom</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 ;<br/><b>thus </b><a NAME="E4:77_1_1_1_1_4"/>
<font color="Maroon">c<sub>1</sub></font> is <a href="amistd_2.html#V10">IC-good</a>
 <b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_1_1_4"><i><font color="Green">E65</font></i></a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_1_1_5"><b>suppose </b></a><a NAME="E1:77_1_1_1_1_5"/>
ex <font color="Olive">b<sub>1</sub></font>, <font color="Olive">b<sub>2</sub></font> being   <a href="ami_3.html#M1">Data-Location</a>  st <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_3.html#K6">MultBy</a> <font color="Olive">b<sub>1</sub></font>,<font color="Olive">b<sub>2</sub></font>
 ;<br/><div class="add"><b>then consider </b><font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font> being    <a href="ami_3.html#M1">Data-Location</a> <b> such that </b><br/><a NAME="E3:77_1_1_1_1_5"/><i><font color="Green">E65</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_3.html#K6">MultBy</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 ;<br/><b>thus </b><a NAME="E4:77_1_1_1_1_5"/>
<font color="Maroon">c<sub>1</sub></font> is <a href="amistd_2.html#V10">IC-good</a>
 <b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_1_1_5"><i><font color="Green">E65</font></i></a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_1_1_6"><b>suppose </b></a><a NAME="E1:77_1_1_1_1_6"/>
ex <font color="Olive">b<sub>1</sub></font>, <font color="Olive">b<sub>2</sub></font> being   <a href="ami_3.html#M1">Data-Location</a>  st <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_3.html#K7">Divide</a> <font color="Olive">b<sub>1</sub></font>,<font color="Olive">b<sub>2</sub></font>
 ;<br/><div class="add"><b>then consider </b><font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font> being    <a href="ami_3.html#M1">Data-Location</a> <b> such that </b><br/><a NAME="E3:77_1_1_1_1_6"/><i><font color="Green">E65</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_3.html#K7">Divide</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 ;<br/><b>thus </b><a NAME="E4:77_1_1_1_1_6"/>
<font color="Maroon">c<sub>1</sub></font> is <a href="amistd_2.html#V10">IC-good</a>
 <b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_1_1_6"><i><font color="Green">E65</font></i></a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_1_1_7"><b>suppose </b></a><a NAME="E1:77_1_1_1_1_7"/>
ex <font color="Olive">b<sub>1</sub></font> being  <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="ami_3.html#K1">SCM</a>  st <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_3.html#K8">goto</a> <font color="Olive">b<sub>1</sub></font>
 ;<br/><div class="add"><b>then consider </b><font color="Maroon">c<sub>2</sub></font> being   <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="ami_3.html#K1">SCM</a> <b> such that </b><br/><a NAME="E3:77_1_1_1_1_7"/><i><font color="Green">E65</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_3.html#K8">goto</a> <font color="Maroon">c<sub>2</sub></font>
 ;<br/><b>let </b><font color="Maroon">c<sub>3</sub></font> be  <a href="ordinal1.html#V7">natural</a>  <a href="ordinal1.html#NM1" target="_self">number</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="amistd_2.html#D17">AMISTD_2:def 17</a><br/><b>let </b><font color="Maroon">c<sub>4</sub></font>, <font color="Maroon">c<sub>5</sub></font> be   <a href="ami_1.html#NM4">State</a> of <a href="ami_3.html#K1">SCM</a> ;<br/><b>assume </b><a NAME="E4:77_1_1_1_1_7"/>
<font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>4</sub></font> <a href="funct_4.html#K1">+*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span> <a href="cqc_lang.html#K3">.--&gt;</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="amistd_1.html#K8">+</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span>
 ;<br/><i><font color="Green">E66</font></i>:  <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>4</sub></font></span>)</span> = 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span>
<b>by </b><i><a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<br/>.= 
<font color="Maroon">c<sub>2</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_1_1_7"><i><font color="Green">E65</font></i></a>, <a class="ref" href="ami_3.html#T13">AMI_3:13</a></i>
;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> <a href="amistd_1.html#K8">+</a> <font color="Maroon">c<sub>3</sub></font> = 
 <a href="amistd_1.html#K5">il.</a> <a href="ami_3.html#K1">SCM</a> ,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p4">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">c<sub>3</sub></font></span>)</span>

<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="ami_3.html#K8">goto</a> <span class="p3">(<span class="default"><a href="amistd_1.html#K5">il.</a> <a href="ami_3.html#K1">SCM</a> ,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span></span>)</span>,<font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span>
<b>by </b><i><a class="txt" href="ami_6.html#E5:77_1_1_1_1_7"><i><font color="Green">E66</font></i></a>, <a class="ref" href="ami_3.html#T13">AMI_3:13</a></i>
<br/>.= 
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="ami_3.html#K8">goto</a> <span class="p3">(<span class="default"><a href="amistd_1.html#K5">il.</a> <a href="ami_3.html#K1">SCM</a> ,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span></span>)</span>,<font color="Maroon">c<sub>5</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<br/>.= 
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K8">IncAddr</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span>,<font color="Maroon">c<sub>5</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_1_1_7"><i><font color="Green">E65</font></i></a>, <a class="ref" href="ami_6.html#T57" target="_self">Th57</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_1_1_8"><b>suppose </b></a><a NAME="E1:77_1_1_1_1_8"/>
ex <font color="Olive">b<sub>1</sub></font> being   <a href="ami_3.html#M1">Data-Location</a> ex <font color="Olive">b<sub>2</sub></font> being  <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="ami_3.html#K1">SCM</a>  st <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Olive">b<sub>1</sub></font> <a href="ami_3.html#K9">=0_goto</a> <font color="Olive">b<sub>2</sub></font>
 ;<br/><div class="add"><b>then consider </b><font color="Maroon">c<sub>2</sub></font> being    <a href="ami_3.html#M1">Data-Location</a> , <font color="Maroon">c<sub>3</sub></font> being   <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="ami_3.html#K1">SCM</a> <b> such that </b><br/><a NAME="E3:77_1_1_1_1_8"/><i><font color="Green">E65</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> <a href="ami_3.html#K9">=0_goto</a> <font color="Maroon">c<sub>3</sub></font>
 ;<br/><b>let </b><font color="Maroon">c<sub>4</sub></font> be  <a href="ordinal1.html#V7">natural</a>  <a href="ordinal1.html#NM1" target="_self">number</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="amistd_2.html#D17">AMISTD_2:def 17</a><br/><b>let </b><font color="Maroon">c<sub>5</sub></font>, <font color="Maroon">c<sub>6</sub></font> be   <a href="ami_1.html#NM4">State</a> of <a href="ami_3.html#K1">SCM</a> ;<br/><b>assume </b><a NAME="E4:77_1_1_1_1_8"/><i><font color="Green">E66</font></i>: 
<font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>5</sub></font> <a href="funct_4.html#K1">+*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span> <a href="cqc_lang.html#K3">.--&gt;</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="amistd_1.html#K8">+</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span>
 ;<br/><a NAME="E5:77_1_1_1_1_8"/><i><font color="Green">E67</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> 
 <b>by </b><i><a class="ref" href="ami_5.html#T20">AMI_5:20</a></i>;<br/><a NAME="E6:77_1_1_1_1_8"/>
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span> <a href="cqc_lang.html#K3">.--&gt;</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="amistd_1.html#K8">+</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span></span><a href="tarski.html#K1">}</a></span>
 <b>by </b><i><a class="ref" href="cqc_lang.html#T5">CQC_LANG:5</a></i>;<br/><a NAME="E7:77_1_1_1_1_8"/><b>then </b>
not <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span> <a href="cqc_lang.html#K3">.--&gt;</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="amistd_1.html#K8">+</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span>
 <b>by </b><i><a class="txt" href="ami_6.html#E5:77_1_1_1_1_8"><i><font color="Green">E67</font></i></a>, <a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/><a NAME="E8:77_1_1_1_1_8"/><b>then </b><i><font color="Green">E68</font></i>: 
<font color="Maroon">c<sub>5</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>6</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="txt" href="ami_6.html#E4:77_1_1_1_1_8"><i><font color="Green">E66</font></i></a>, <a class="ref" href="funct_4.html#T12">FUNCT_4:12</a></i>;<br/><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="77_1_1_1_1_8_1"><b>now </b></a><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_1_1_8_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:77_1_1_1_1_8_1_1"/>
( <font color="Maroon">c<sub>5</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> 0 or <font color="Maroon">c<sub>5</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0 )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_1_1_8_1_1_1"><b>suppose </b></a><a NAME="E1:77_1_1_1_1_8_1_1_1"/><i><font color="Green">E69</font></i>: 
<font color="Maroon">c<sub>5</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> 0
 ;<br/><div class="add"><i><font color="Green">E70</font></i>:  <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>5</sub></font></span>)</span> = 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span>
<b>by </b><i><a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<br/>.= 
<font color="Maroon">c<sub>3</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_1_1_8"><i><font color="Green">E65</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_1_1_8_1_1_1"><i><font color="Green">E69</font></i></a>, <a class="ref" href="ami_3.html#T14">AMI_3:14</a></i>
;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span> <a href="amistd_1.html#K8">+</a> <font color="Maroon">c<sub>4</sub></font> = 
 <a href="amistd_1.html#K5">il.</a> <a href="ami_3.html#K1">SCM</a> ,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p4">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>

<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="ami_3.html#K9">=0_goto</a> <span class="p3">(<span class="default"><a href="amistd_1.html#K5">il.</a> <a href="ami_3.html#K1">SCM</a> ,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span></span>)</span>,<font color="Maroon">c<sub>6</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span>
<b>by </b><i><a class="txt" href="ami_6.html#E8:77_1_1_1_1_8"><i><font color="Green">E68</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_1_1_8_1_1_1"><i><font color="Green">E69</font></i></a>, <a class="txt" href="ami_6.html#E2:77_1_1_1_1_8_1_1_1"><i><font color="Green">E70</font></i></a>, <a class="ref" href="ami_3.html#T14">AMI_3:14</a></i>
<br/>.= 
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="ami_3.html#K9">=0_goto</a> <span class="p3">(<span class="default"><a href="amistd_1.html#K5">il.</a> <a href="ami_3.html#K1">SCM</a> ,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span></span>)</span>,<font color="Maroon">c<sub>6</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<br/>.= 
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K8">IncAddr</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>4</sub></font></span>)</span>,<font color="Maroon">c<sub>6</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_1_1_8"><i><font color="Green">E65</font></i></a>, <a class="ref" href="ami_6.html#T58" target="_self">Th58</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_1_1_8_1_1_2"><b>suppose </b></a><a NAME="E1:77_1_1_1_1_8_1_1_2"/><i><font color="Green">E69</font></i>: 
<font color="Maroon">c<sub>5</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0
 ;<br/><div class="add"><a NAME="E2:77_1_1_1_1_8_1_1_2"/>
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span> <a href="cqc_lang.html#K3">.--&gt;</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="amistd_1.html#K8">+</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span></span><a href="tarski.html#K1">}</a></span>
 <b>by </b><i><a class="ref" href="cqc_lang.html#T5">CQC_LANG:5</a></i>;<br/><a NAME="E3:77_1_1_1_1_8_1_1_2"/><b>then </b><i><font color="Green">E70</font></i>: 
 <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a>  <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span> <a href="cqc_lang.html#K3">.--&gt;</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="amistd_1.html#K8">+</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span>
 <b>by </b><i><a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/><i><font color="Green">E71</font></i>:  <a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>6</sub></font> = 
<font color="Maroon">c<sub>6</sub></font> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span>
<b>by </b><i><a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span> <a href="cqc_lang.html#K3">.--&gt;</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="amistd_1.html#K8">+</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span>
<b>by </b><i><a class="txt" href="ami_6.html#E4:77_1_1_1_1_8"><i><font color="Green">E66</font></i></a>, <a class="txt" href="ami_6.html#E3:77_1_1_1_1_8_1_1_2"><i><font color="Green">E70</font></i></a>, <a class="ref" href="funct_4.html#T14">FUNCT_4:14</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="amistd_1.html#K8">+</a> <font color="Maroon">c<sub>4</sub></font>
<b>by </b><i><a class="ref" href="cqc_lang.html#T6">CQC_LANG:6</a></i>
<br/>.= 
 <a href="amistd_1.html#K5">il.</a> <a href="ami_3.html#K1">SCM</a> ,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>

;<br/><i><font color="Green">E72</font></i>:  <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>6</sub></font></span>)</span> = 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>6</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span>
<b>by </b><i><a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<br/>.= 
 <a href="ami_3.html#K11">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>6</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_1_1_8"><i><font color="Green">E65</font></i></a>, <a class="txt" href="ami_6.html#E8:77_1_1_1_1_8"><i><font color="Green">E68</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_1_1_8_1_1_2"><i><font color="Green">E69</font></i></a>, <a class="ref" href="ami_3.html#T14">AMI_3:14</a></i>
<br/>.= 
 <a href="amistd_1.html#K9">NextLoc</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>6</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="ami_6.html#T56" target="_self">Th56</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="amistd_1.html#K5">il.</a> <a href="ami_3.html#K1">SCM</a> ,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> <a href="amistd_1.html#K8">+</a> 1
<b>by </b><i><a class="txt" href="ami_6.html#E4:77_1_1_1_1_8_1_1_2"><i><font color="Green">E71</font></i></a></i>
<br/>.= 
 <a href="amistd_1.html#K5">il.</a> <a href="ami_3.html#K1">SCM</a> ,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <span class="p3">(<span class="default"><a href="amistd_1.html#K5">il.</a> <a href="ami_3.html#K1">SCM</a> ,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span>

<br/>.= 
 <a href="amistd_1.html#K5">il.</a> <a href="ami_3.html#K1">SCM</a> ,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="xcmplx_0.html#K2">+</a> 1</span>)</span>
<b>by </b><i><a class="ref" href="amistd_1.html#D13">AMISTD_1:def 13</a></i>
<br/>.= 
 <a href="amistd_1.html#K5">il.</a> <a href="ami_3.html#K1">SCM</a> ,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>

;<br/><i><font color="Green">E73</font></i>:  <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>5</sub></font></span>)</span> = 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span>
<b>by </b><i><a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<br/>.= 
 <a href="ami_3.html#K11">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>5</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_1_1_8"><i><font color="Green">E65</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_1_1_8_1_1_2"><i><font color="Green">E69</font></i></a>, <a class="ref" href="ami_3.html#T14">AMI_3:14</a></i>
<br/>.= 
 <a href="amistd_1.html#K9">NextLoc</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>5</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="ami_6.html#T56" target="_self">Th56</a></i>
<br/>.= 
 <a href="amistd_1.html#K5">il.</a> <a href="ami_3.html#K1">SCM</a> ,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span>

;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span> <a href="amistd_1.html#K8">+</a> <font color="Maroon">c<sub>4</sub></font> = 
 <a href="amistd_1.html#K5">il.</a> <a href="ami_3.html#K1">SCM</a> ,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p4">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>

<br/>.= 
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>6</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="ami_6.html#E5:77_1_1_1_1_8_1_1_2"><i><font color="Green">E72</font></i></a>, <a class="txt" href="ami_6.html#E6:77_1_1_1_1_8_1_1_2"><i><font color="Green">E73</font></i></a>, <a class="ref" href="amistd_1.html#D13">AMISTD_1:def 13</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>6</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span>
<b>by </b><i><a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<br/>.= 
 <a href="ami_3.html#K11">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>6</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_1_1_8"><i><font color="Green">E65</font></i></a>, <a class="txt" href="ami_6.html#E8:77_1_1_1_1_8"><i><font color="Green">E68</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_1_1_8_1_1_2"><i><font color="Green">E69</font></i></a>, <a class="ref" href="ami_3.html#T14">AMI_3:14</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="ami_3.html#K9">=0_goto</a> <span class="p3">(<span class="default"><a href="amistd_1.html#K5">il.</a> <a href="ami_3.html#K1">SCM</a> ,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span></span>)</span>,<font color="Maroon">c<sub>6</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span>
<b>by </b><i><a class="txt" href="ami_6.html#E8:77_1_1_1_1_8"><i><font color="Green">E68</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_1_1_8_1_1_2"><i><font color="Green">E69</font></i></a>, <a class="ref" href="ami_3.html#T14">AMI_3:14</a></i>
<br/>.= 
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="ami_3.html#K9">=0_goto</a> <span class="p3">(<span class="default"><a href="amistd_1.html#K5">il.</a> <a href="ami_3.html#K1">SCM</a> ,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span></span>)</span>,<font color="Maroon">c<sub>6</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<br/>.= 
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K8">IncAddr</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>4</sub></font></span>)</span>,<font color="Maroon">c<sub>6</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_1_1_8"><i><font color="Green">E65</font></i></a>, <a class="ref" href="ami_6.html#T58" target="_self">Th58</a></i>
;<br/></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div><b>hence </b><a NAME="E10:77_1_1_1_1_8"/>
<span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span> <a href="amistd_1.html#K8">+</a> <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K8">IncAddr</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>4</sub></font></span>)</span>,<font color="Maroon">c<sub>6</sub></font></span>)</span>
 ;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_1_1_9"><b>suppose </b></a><a NAME="E1:77_1_1_1_1_9"/>
ex <font color="Olive">b<sub>1</sub></font> being   <a href="ami_3.html#M1">Data-Location</a> ex <font color="Olive">b<sub>2</sub></font> being  <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="ami_3.html#K1">SCM</a>  st <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Olive">b<sub>1</sub></font> <a href="ami_3.html#K10">&gt;0_goto</a> <font color="Olive">b<sub>2</sub></font>
 ;<br/><div class="add"><b>then consider </b><font color="Maroon">c<sub>2</sub></font> being    <a href="ami_3.html#M1">Data-Location</a> , <font color="Maroon">c<sub>3</sub></font> being   <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="ami_3.html#K1">SCM</a> <b> such that </b><br/><a NAME="E3:77_1_1_1_1_9"/><i><font color="Green">E65</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> <a href="ami_3.html#K10">&gt;0_goto</a> <font color="Maroon">c<sub>3</sub></font>
 ;<br/><b>let </b><font color="Maroon">c<sub>4</sub></font> be  <a href="ordinal1.html#V7">natural</a>  <a href="ordinal1.html#NM1" target="_self">number</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="amistd_2.html#D17">AMISTD_2:def 17</a><br/><b>let </b><font color="Maroon">c<sub>5</sub></font>, <font color="Maroon">c<sub>6</sub></font> be   <a href="ami_1.html#NM4">State</a> of <a href="ami_3.html#K1">SCM</a> ;<br/><b>assume </b><a NAME="E4:77_1_1_1_1_9"/><i><font color="Green">E66</font></i>: 
<font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>5</sub></font> <a href="funct_4.html#K1">+*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span> <a href="cqc_lang.html#K3">.--&gt;</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="amistd_1.html#K8">+</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span>
 ;<br/><a NAME="E5:77_1_1_1_1_9"/><i><font color="Green">E67</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> 
 <b>by </b><i><a class="ref" href="ami_5.html#T20">AMI_5:20</a></i>;<br/><a NAME="E6:77_1_1_1_1_9"/>
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span> <a href="cqc_lang.html#K3">.--&gt;</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="amistd_1.html#K8">+</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span></span><a href="tarski.html#K1">}</a></span>
 <b>by </b><i><a class="ref" href="cqc_lang.html#T5">CQC_LANG:5</a></i>;<br/><a NAME="E7:77_1_1_1_1_9"/><b>then </b>
not <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span> <a href="cqc_lang.html#K3">.--&gt;</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="amistd_1.html#K8">+</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span>
 <b>by </b><i><a class="txt" href="ami_6.html#E5:77_1_1_1_1_9"><i><font color="Green">E67</font></i></a>, <a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/><a NAME="E8:77_1_1_1_1_9"/><b>then </b><i><font color="Green">E68</font></i>: 
<font color="Maroon">c<sub>5</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>6</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="txt" href="ami_6.html#E4:77_1_1_1_1_9"><i><font color="Green">E66</font></i></a>, <a class="ref" href="funct_4.html#T12">FUNCT_4:12</a></i>;<br/><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="77_1_1_1_1_9_1"><b>now </b></a><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_1_1_9_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:77_1_1_1_1_9_1_1"/>
( <font color="Maroon">c<sub>5</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>2</sub></font> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0 or <font color="Maroon">c<sub>5</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>2</sub></font> <a href="xxreal_0.html#R1">&lt;=</a> 0 )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_1_1_9_1_1_1"><b>suppose </b></a><a NAME="E1:77_1_1_1_1_9_1_1_1"/><i><font color="Green">E69</font></i>: 
<font color="Maroon">c<sub>5</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>2</sub></font> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0
 ;<br/><div class="add"><i><font color="Green">E70</font></i>:  <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>5</sub></font></span>)</span> = 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span>
<b>by </b><i><a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<br/>.= 
<font color="Maroon">c<sub>3</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_1_1_9"><i><font color="Green">E65</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_1_1_9_1_1_1"><i><font color="Green">E69</font></i></a>, <a class="ref" href="ami_3.html#T15">AMI_3:15</a></i>
;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span> <a href="amistd_1.html#K8">+</a> <font color="Maroon">c<sub>4</sub></font> = 
 <a href="amistd_1.html#K5">il.</a> <a href="ami_3.html#K1">SCM</a> ,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p4">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>

<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="ami_3.html#K10">&gt;0_goto</a> <span class="p3">(<span class="default"><a href="amistd_1.html#K5">il.</a> <a href="ami_3.html#K1">SCM</a> ,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span></span>)</span>,<font color="Maroon">c<sub>6</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span>
<b>by </b><i><a class="txt" href="ami_6.html#E8:77_1_1_1_1_9"><i><font color="Green">E68</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_1_1_9_1_1_1"><i><font color="Green">E69</font></i></a>, <a class="txt" href="ami_6.html#E2:77_1_1_1_1_9_1_1_1"><i><font color="Green">E70</font></i></a>, <a class="ref" href="ami_3.html#T15">AMI_3:15</a></i>
<br/>.= 
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="ami_3.html#K10">&gt;0_goto</a> <span class="p3">(<span class="default"><a href="amistd_1.html#K5">il.</a> <a href="ami_3.html#K1">SCM</a> ,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span></span>)</span>,<font color="Maroon">c<sub>6</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<br/>.= 
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K8">IncAddr</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>4</sub></font></span>)</span>,<font color="Maroon">c<sub>6</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_1_1_9"><i><font color="Green">E65</font></i></a>, <a class="ref" href="ami_6.html#T59" target="_self">Th59</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_1_1_9_1_1_2"><b>suppose </b></a><a NAME="E1:77_1_1_1_1_9_1_1_2"/><i><font color="Green">E69</font></i>: 
<font color="Maroon">c<sub>5</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>2</sub></font> <a href="xxreal_0.html#R1">&lt;=</a> 0
 ;<br/><div class="add"><a NAME="E2:77_1_1_1_1_9_1_1_2"/>
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span> <a href="cqc_lang.html#K3">.--&gt;</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="amistd_1.html#K8">+</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span></span><a href="tarski.html#K1">}</a></span>
 <b>by </b><i><a class="ref" href="cqc_lang.html#T5">CQC_LANG:5</a></i>;<br/><a NAME="E3:77_1_1_1_1_9_1_1_2"/><b>then </b><i><font color="Green">E70</font></i>: 
 <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a>  <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span> <a href="cqc_lang.html#K3">.--&gt;</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="amistd_1.html#K8">+</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span>
 <b>by </b><i><a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/><i><font color="Green">E71</font></i>:  <a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>6</sub></font> = 
<font color="Maroon">c<sub>6</sub></font> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span>
<b>by </b><i><a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span> <a href="cqc_lang.html#K3">.--&gt;</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="amistd_1.html#K8">+</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span>
<b>by </b><i><a class="txt" href="ami_6.html#E4:77_1_1_1_1_9"><i><font color="Green">E66</font></i></a>, <a class="txt" href="ami_6.html#E3:77_1_1_1_1_9_1_1_2"><i><font color="Green">E70</font></i></a>, <a class="ref" href="funct_4.html#T14">FUNCT_4:14</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="amistd_1.html#K8">+</a> <font color="Maroon">c<sub>4</sub></font>
<b>by </b><i><a class="ref" href="cqc_lang.html#T6">CQC_LANG:6</a></i>
<br/>.= 
 <a href="amistd_1.html#K5">il.</a> <a href="ami_3.html#K1">SCM</a> ,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>

;<br/><i><font color="Green">E72</font></i>:  <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>6</sub></font></span>)</span> = 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>6</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span>
<b>by </b><i><a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<br/>.= 
 <a href="ami_3.html#K11">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>6</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_1_1_9"><i><font color="Green">E65</font></i></a>, <a class="txt" href="ami_6.html#E8:77_1_1_1_1_9"><i><font color="Green">E68</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_1_1_9_1_1_2"><i><font color="Green">E69</font></i></a>, <a class="ref" href="ami_3.html#T15">AMI_3:15</a></i>
<br/>.= 
 <a href="amistd_1.html#K9">NextLoc</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>6</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="ami_6.html#T56" target="_self">Th56</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="amistd_1.html#K5">il.</a> <a href="ami_3.html#K1">SCM</a> ,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> <a href="amistd_1.html#K8">+</a> 1
<b>by </b><i><a class="txt" href="ami_6.html#E4:77_1_1_1_1_9_1_1_2"><i><font color="Green">E71</font></i></a></i>
<br/>.= 
 <a href="amistd_1.html#K5">il.</a> <a href="ami_3.html#K1">SCM</a> ,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <span class="p3">(<span class="default"><a href="amistd_1.html#K5">il.</a> <a href="ami_3.html#K1">SCM</a> ,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span>

<br/>.= 
 <a href="amistd_1.html#K5">il.</a> <a href="ami_3.html#K1">SCM</a> ,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="xcmplx_0.html#K2">+</a> 1</span>)</span>
<b>by </b><i><a class="ref" href="amistd_1.html#D13">AMISTD_1:def 13</a></i>
<br/>.= 
 <a href="amistd_1.html#K5">il.</a> <a href="ami_3.html#K1">SCM</a> ,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <span class="p4">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>

;<br/><i><font color="Green">E73</font></i>:  <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>5</sub></font></span>)</span> = 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span>
<b>by </b><i><a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<br/>.= 
 <a href="ami_3.html#K11">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>5</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_1_1_9"><i><font color="Green">E65</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_1_1_9_1_1_2"><i><font color="Green">E69</font></i></a>, <a class="ref" href="ami_3.html#T15">AMI_3:15</a></i>
<br/>.= 
 <a href="amistd_1.html#K9">NextLoc</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>5</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="ami_6.html#T56" target="_self">Th56</a></i>
<br/>.= 
 <a href="amistd_1.html#K5">il.</a> <a href="ami_3.html#K1">SCM</a> ,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span>

;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span> <a href="amistd_1.html#K8">+</a> <font color="Maroon">c<sub>4</sub></font> = 
 <a href="amistd_1.html#K5">il.</a> <a href="ami_3.html#K1">SCM</a> ,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p4">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>

<br/>.= 
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>6</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="ami_6.html#E5:77_1_1_1_1_9_1_1_2"><i><font color="Green">E72</font></i></a>, <a class="txt" href="ami_6.html#E6:77_1_1_1_1_9_1_1_2"><i><font color="Green">E73</font></i></a>, <a class="ref" href="amistd_1.html#D13">AMISTD_1:def 13</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>6</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span>
<b>by </b><i><a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<br/>.= 
 <a href="ami_3.html#K11">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>6</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_1_1_9"><i><font color="Green">E65</font></i></a>, <a class="txt" href="ami_6.html#E8:77_1_1_1_1_9"><i><font color="Green">E68</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_1_1_9_1_1_2"><i><font color="Green">E69</font></i></a>, <a class="ref" href="ami_3.html#T15">AMI_3:15</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="ami_3.html#K10">&gt;0_goto</a> <span class="p3">(<span class="default"><a href="amistd_1.html#K5">il.</a> <a href="ami_3.html#K1">SCM</a> ,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span></span>)</span>,<font color="Maroon">c<sub>6</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span>
<b>by </b><i><a class="txt" href="ami_6.html#E8:77_1_1_1_1_9"><i><font color="Green">E68</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_1_1_9_1_1_2"><i><font color="Green">E69</font></i></a>, <a class="ref" href="ami_3.html#T15">AMI_3:15</a></i>
<br/>.= 
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="ami_3.html#K10">&gt;0_goto</a> <span class="p3">(<span class="default"><a href="amistd_1.html#K5">il.</a> <a href="ami_3.html#K1">SCM</a> ,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="amistd_1.html#K7">locnum</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span></span>)</span>,<font color="Maroon">c<sub>6</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<br/>.= 
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K8">IncAddr</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>4</sub></font></span>)</span>,<font color="Maroon">c<sub>6</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_1_1_9"><i><font color="Green">E65</font></i></a>, <a class="ref" href="ami_6.html#T59" target="_self">Th59</a></i>
;<br/></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div><b>hence </b><a NAME="E10:77_1_1_1_1_9"/>
<span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span> <a href="amistd_1.html#K8">+</a> <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K8">IncAddr</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>4</sub></font></span>)</span>,<font color="Maroon">c<sub>6</sub></font></span>)</span>
 ;<br/></div><b>end;</b></div></div><b>end;</b></div>

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

<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="ami_1.html#NM3">Instruction</a> of <a href="ami_3.html#K1">SCM</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="amistd_2.html#D20">AMISTD_2:def 20</a><br/><b>let </b><font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font> be   <a href="ami_1.html#NM4">State</a> of <a href="ami_3.html#K1">SCM</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="amistd_2.html#D19">AMISTD_2:def 19</a><br/>



<b>assume </b><a NAME="E2:77_1_1"/><i><font color="Green">E65</font></i>: 
<font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> <a href="funct_7.html#R1">equal_outside</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a> 
 ;<br/>

<a NAME="E3:77_1_1"/><i><font color="Green">E66</font></i>: 
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="relat_1.html#K1">dom</a> the <a href="ami_1.html#U5">Object-Kind</a> of <a href="ami_3.html#K1">SCM</a> 
 
<b>by </b><i><a class="ref" href="card_3.html#T18">CARD_3:18</a></i>;<br/>
<a NAME="E4:77_1_1"/><b>then </b><i><font color="Green">E67</font></i>: 
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span>
 
<b>by </b><i><a class="ref" href="card_3.html#T18">CARD_3:18</a></i>;<br/>
<a NAME="E5:77_1_1"/><i><font color="Green">E68</font></i>: 
 <a href="relat_1.html#K1">dom</a> the <a href="ami_1.html#U5">Object-Kind</a> of <a href="ami_3.html#K1">SCM</a>  <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <a href="ami_3.html#K1">SCM</a> 
 
<b>by </b><i><a class="ref" href="funct_2.html#D1">FUNCT_2:def 1</a></i>;<br/>
<a NAME="E6:77_1_1"/><i><font color="Green">E69</font></i>: 
 <a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>3</sub></font>
 
<b>by </b><i><a class="txt" href="ami_6.html#E2:77_1_1"><i><font color="Green">E65</font></i></a>, <a class="ref" href="scmfsa6a.html#T29">SCMFSA6A:29</a></i>;<br/>
<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_2"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:77_1_1_2"/>
( <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default">0,<a href="xboole_0.html#K1">{}</a> </span><a href="tarski.html#K4">]</a></span> or ex <font color="Olive">b<sub>1</sub></font>, <font color="Olive">b<sub>2</sub></font> being   <a href="ami_3.html#M1">Data-Location</a>  st <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Olive">b<sub>1</sub></font> <a href="ami_3.html#K3">:=</a> <font color="Olive">b<sub>2</sub></font> or ex <font color="Olive">b<sub>1</sub></font>, <font color="Olive">b<sub>2</sub></font> being   <a href="ami_3.html#M1">Data-Location</a>  st <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_3.html#K4">AddTo</a> <font color="Olive">b<sub>1</sub></font>,<font color="Olive">b<sub>2</sub></font> or ex <font color="Olive">b<sub>1</sub></font>, <font color="Olive">b<sub>2</sub></font> being   <a href="ami_3.html#M1">Data-Location</a>  st <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_3.html#K5">SubFrom</a> <font color="Olive">b<sub>1</sub></font>,<font color="Olive">b<sub>2</sub></font> or ex <font color="Olive">b<sub>1</sub></font>, <font color="Olive">b<sub>2</sub></font> being   <a href="ami_3.html#M1">Data-Location</a>  st <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_3.html#K6">MultBy</a> <font color="Olive">b<sub>1</sub></font>,<font color="Olive">b<sub>2</sub></font> or ex <font color="Olive">b<sub>1</sub></font>, <font color="Olive">b<sub>2</sub></font> being   <a href="ami_3.html#M1">Data-Location</a>  st <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_3.html#K7">Divide</a> <font color="Olive">b<sub>1</sub></font>,<font color="Olive">b<sub>2</sub></font> or ex <font color="Olive">b<sub>1</sub></font> being  <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="ami_3.html#K1">SCM</a>  st <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_3.html#K8">goto</a> <font color="Olive">b<sub>1</sub></font> or ex <font color="Olive">b<sub>1</sub></font> being   <a href="ami_3.html#M1">Data-Location</a> ex <font color="Olive">b<sub>2</sub></font> being  <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="ami_3.html#K1">SCM</a>  st <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Olive">b<sub>1</sub></font> <a href="ami_3.html#K9">=0_goto</a> <font color="Olive">b<sub>2</sub></font> or ex <font color="Olive">b<sub>1</sub></font> being   <a href="ami_3.html#M1">Data-Location</a> ex <font color="Olive">b<sub>2</sub></font> being  <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="ami_3.html#K1">SCM</a>  st <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Olive">b<sub>1</sub></font> <a href="ami_3.html#K10">&gt;0_goto</a> <font color="Olive">b<sub>2</sub></font> )
 </span><b>by </b><i><a class="ref" href="ami_3.html#T69">AMI_3:69</a></i>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_2_1"><b>suppose </b></a><a NAME="E1:77_1_1_2_1"/>
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default">0,<a href="xboole_0.html#K1">{}</a> </span><a href="tarski.html#K4">]</a></span>
 ;<br/><div class="add"><b>hence </b><a NAME="E2:77_1_1_2_1"/>
 <a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font>, <a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font> <a href="funct_7.html#R1">equal_outside</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a> 
 <b>by </b><i><a class="txt" href="ami_6.html#E2:77_1_1"><i><font color="Green">E65</font></i></a>, <a class="ref" href="amistd_2.html#D19">AMISTD_2:def 19</a>, <a class="ref" href="ami_3.html#T71">AMI_3:71</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_2_2"><b>suppose </b></a><a NAME="E1:77_1_1_2_2"/>
ex <font color="Olive">b<sub>1</sub></font>, <font color="Olive">b<sub>2</sub></font> being   <a href="ami_3.html#M1">Data-Location</a>  st <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Olive">b<sub>1</sub></font> <a href="ami_3.html#K3">:=</a> <font color="Olive">b<sub>2</sub></font>
 ;<br/><div class="add"><b>then consider </b><font color="Maroon">c<sub>4</sub></font>, <font color="Maroon">c<sub>5</sub></font> being    <a href="ami_3.html#M1">Data-Location</a> <b> such that </b><br/><a NAME="E3:77_1_1_2_2"/><i><font color="Green">E70</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>4</sub></font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">c<sub>5</sub></font>
 ;<br/><a NAME="E4:77_1_1_2_2"/>
for <font color="Olive">b<sub>1</sub></font> being   <a href="hidden.html#M1">set</a>  st <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="subset_1.html#K6">\</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a>  holds <br/><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Olive">b<sub>1</sub></font>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="77_1_1_2_2_1"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon">c<sub>6</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/>

<b>assume </b><a NAME="E1:77_1_1_2_2_1"/><i><font color="Green">E71</font></i>: 
<font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="subset_1.html#K6">\</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a> 
 ;<br/>

<a NAME="E2:77_1_1_2_2_1"/><b>then </b><i><font color="Green">E72</font></i>: 
not <font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R2">in</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a> 
 
<b>by </b><i><a class="ref" href="xboole_0.html#D4">XBOOLE_0:def 4</a></i>;<br/>
<a NAME="E3:77_1_1_2_2_1"/><i><font color="Green">E73</font></i>: 
<font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span>
 
<b>by </b><i><a class="txt" href="ami_6.html#E1:77_1_1_2_2_1"><i><font color="Green">E71</font></i></a></i>;<br/>
<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_2_2_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:77_1_1_2_2_1_1"/>
( <font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a>  or <font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>4</sub></font> or ( <font color="Maroon">c<sub>6</sub></font> is    <a href="ami_3.html#M1">Data-Location</a>  &amp; <font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>4</sub></font> ) )
 </span><b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1"><i><font color="Green">E66</font></i></a>, <a class="txt" href="ami_6.html#E5:77_1_1"><i><font color="Green">E68</font></i></a>, <a class="txt" href="ami_6.html#E2:77_1_1_2_2_1"><i><font color="Green">E72</font></i></a>, <a class="txt" href="ami_6.html#E3:77_1_1_2_2_1"><i><font color="Green">E73</font></i></a>, <a class="ref" href="ami_6.html#T3" target="_self">Th3</a></i>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_2_2_1_1_1"><b>suppose </b></a><a NAME="E1:77_1_1_2_2_1_1_1"/><i><font color="Green">E74</font></i>: 
<font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> 
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font> = 
 <a href="ami_3.html#K11">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_2_2"><i><font color="Green">E70</font></i></a>, <a class="ref" href="ami_3.html#T8">AMI_3:8</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E6:77_1_1"><i><font color="Green">E69</font></i></a>, <a class="txt" href="ami_6.html#E3:77_1_1_2_2"><i><font color="Green">E70</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_2_2_1_1_1"><i><font color="Green">E74</font></i></a>, <a class="ref" href="ami_3.html#T8">AMI_3:8</a></i>
;<br/><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_2_2_1_1_2"><b>suppose </b></a><a NAME="E1:77_1_1_2_2_1_1_2"/><i><font color="Green">E74</font></i>: 
<font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>4</sub></font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font> = 
<font color="Maroon">c<sub>2</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>5</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_2_2"><i><font color="Green">E70</font></i></a>, <a class="ref" href="ami_3.html#T8">AMI_3:8</a></i>
<br/>.= 
<font color="Maroon">c<sub>3</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>5</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E2:77_1_1"><i><font color="Green">E65</font></i></a>, <a class="ref" href="ami_6.html#T5" target="_self">Th5</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_2_2"><i><font color="Green">E70</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_2_2_1_1_2"><i><font color="Green">E74</font></i></a>, <a class="ref" href="ami_3.html#T8">AMI_3:8</a></i>
;<br/><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_2_2_1_1_3"><b>suppose </b></a><b>that </b><a NAME="E1:77_1_1_2_2_1_1_3"/><i><font color="Green">E74</font></i>: 
<font color="Maroon">c<sub>6</sub></font> is    <a href="ami_3.html#M1">Data-Location</a> 
 <b>and </b><br/><a NAME="E2:77_1_1_2_2_1_1_3"/><i><font color="Green">E75</font></i>: 
<font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>4</sub></font>
 ;<br/><div class="add"><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font> = 
<font color="Maroon">c<sub>2</sub></font> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_2_2"><i><font color="Green">E70</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_2_2_1_1_3"><i><font color="Green">E74</font></i></a>, <a class="txt" href="ami_6.html#E2:77_1_1_2_2_1_1_3"><i><font color="Green">E75</font></i></a>, <a class="ref" href="ami_3.html#T8">AMI_3:8</a></i>
<br/>.= 
<font color="Maroon">c<sub>3</sub></font> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E2:77_1_1"><i><font color="Green">E65</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_2_2_1_1_3"><i><font color="Green">E74</font></i></a>, <a class="ref" href="ami_6.html#T5" target="_self">Th5</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_2_2"><i><font color="Green">E70</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_2_2_1_1_3"><i><font color="Green">E74</font></i></a>, <a class="txt" href="ami_6.html#E2:77_1_1_2_2_1_1_3"><i><font color="Green">E75</font></i></a>, <a class="ref" href="ami_3.html#T8">AMI_3:8</a></i>
;<br/></div><b>end;</b></div></div><b>end;</b></div>

</div><b>end;</b></div><b>hence </b><a NAME="E5:77_1_1_2_2"/>
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="relat_1.html#K7">|</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p3">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="subset_1.html#K6">\</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a> </span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="relat_1.html#K7">|</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p3">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="subset_1.html#K6">\</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a> </span>)</span>
 <b>by </b><i><a class="txt" href="ami_6.html#E4:77_1_1"><i><font color="Green">E67</font></i></a>, <a class="ref" href="scmfsa6a.html#T9">SCMFSA6A:9</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="funct_7.html#D2">FUNCT_7:def 2</a><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_2_3"><b>suppose </b></a><a NAME="E1:77_1_1_2_3"/>
ex <font color="Olive">b<sub>1</sub></font>, <font color="Olive">b<sub>2</sub></font> being   <a href="ami_3.html#M1">Data-Location</a>  st <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_3.html#K4">AddTo</a> <font color="Olive">b<sub>1</sub></font>,<font color="Olive">b<sub>2</sub></font>
 ;<br/><div class="add"><b>then consider </b><font color="Maroon">c<sub>4</sub></font>, <font color="Maroon">c<sub>5</sub></font> being    <a href="ami_3.html#M1">Data-Location</a> <b> such that </b><br/><a NAME="E3:77_1_1_2_3"/><i><font color="Green">E70</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_3.html#K4">AddTo</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font>
 ;<br/><a NAME="E4:77_1_1_2_3"/>
for <font color="Olive">b<sub>1</sub></font> being   <a href="hidden.html#M1">set</a>  st <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="subset_1.html#K6">\</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a>  holds <br/><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Olive">b<sub>1</sub></font>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="77_1_1_2_3_1"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon">c<sub>6</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/>

<b>assume </b><a NAME="E1:77_1_1_2_3_1"/><i><font color="Green">E71</font></i>: 
<font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="subset_1.html#K6">\</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a> 
 ;<br/>

<a NAME="E2:77_1_1_2_3_1"/><b>then </b><i><font color="Green">E72</font></i>: 
not <font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R2">in</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a> 
 
<b>by </b><i><a class="ref" href="xboole_0.html#D4">XBOOLE_0:def 4</a></i>;<br/>
<a NAME="E3:77_1_1_2_3_1"/><i><font color="Green">E73</font></i>: 
<font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span>
 
<b>by </b><i><a class="txt" href="ami_6.html#E1:77_1_1_2_3_1"><i><font color="Green">E71</font></i></a></i>;<br/>
<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_2_3_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:77_1_1_2_3_1_1"/>
( <font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a>  or <font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>4</sub></font> or ( <font color="Maroon">c<sub>6</sub></font> is    <a href="ami_3.html#M1">Data-Location</a>  &amp; <font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>4</sub></font> ) )
 </span><b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1"><i><font color="Green">E66</font></i></a>, <a class="txt" href="ami_6.html#E5:77_1_1"><i><font color="Green">E68</font></i></a>, <a class="txt" href="ami_6.html#E2:77_1_1_2_3_1"><i><font color="Green">E72</font></i></a>, <a class="txt" href="ami_6.html#E3:77_1_1_2_3_1"><i><font color="Green">E73</font></i></a>, <a class="ref" href="ami_6.html#T3" target="_self">Th3</a></i>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_2_3_1_1_1"><b>suppose </b></a><a NAME="E1:77_1_1_2_3_1_1_1"/><i><font color="Green">E74</font></i>: 
<font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> 
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font> = 
 <a href="ami_3.html#K11">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_2_3"><i><font color="Green">E70</font></i></a>, <a class="ref" href="ami_3.html#T9">AMI_3:9</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E6:77_1_1"><i><font color="Green">E69</font></i></a>, <a class="txt" href="ami_6.html#E3:77_1_1_2_3"><i><font color="Green">E70</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_2_3_1_1_1"><i><font color="Green">E74</font></i></a>, <a class="ref" href="ami_3.html#T9">AMI_3:9</a></i>
;<br/><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_2_3_1_1_2"><b>suppose </b></a><a NAME="E1:77_1_1_2_3_1_1_2"/><i><font color="Green">E74</font></i>: 
<font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>4</sub></font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font> = 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>5</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_2_3"><i><font color="Green">E70</font></i></a>, <a class="ref" href="ami_3.html#T9">AMI_3:9</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>5</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="ami_6.html#E2:77_1_1"><i><font color="Green">E65</font></i></a>, <a class="ref" href="ami_6.html#T5" target="_self">Th5</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>5</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="ami_6.html#E2:77_1_1"><i><font color="Green">E65</font></i></a>, <a class="ref" href="ami_6.html#T5" target="_self">Th5</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_2_3"><i><font color="Green">E70</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_2_3_1_1_2"><i><font color="Green">E74</font></i></a>, <a class="ref" href="ami_3.html#T9">AMI_3:9</a></i>
;<br/><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_2_3_1_1_3"><b>suppose </b></a><b>that </b><a NAME="E1:77_1_1_2_3_1_1_3"/><i><font color="Green">E74</font></i>: 
<font color="Maroon">c<sub>6</sub></font> is    <a href="ami_3.html#M1">Data-Location</a> 
 <b>and </b><br/><a NAME="E2:77_1_1_2_3_1_1_3"/><i><font color="Green">E75</font></i>: 
<font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>4</sub></font>
 ;<br/><div class="add"><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font> = 
<font color="Maroon">c<sub>2</sub></font> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_2_3"><i><font color="Green">E70</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_2_3_1_1_3"><i><font color="Green">E74</font></i></a>, <a class="txt" href="ami_6.html#E2:77_1_1_2_3_1_1_3"><i><font color="Green">E75</font></i></a>, <a class="ref" href="ami_3.html#T9">AMI_3:9</a></i>
<br/>.= 
<font color="Maroon">c<sub>3</sub></font> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E2:77_1_1"><i><font color="Green">E65</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_2_3_1_1_3"><i><font color="Green">E74</font></i></a>, <a class="ref" href="ami_6.html#T5" target="_self">Th5</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_2_3"><i><font color="Green">E70</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_2_3_1_1_3"><i><font color="Green">E74</font></i></a>, <a class="txt" href="ami_6.html#E2:77_1_1_2_3_1_1_3"><i><font color="Green">E75</font></i></a>, <a class="ref" href="ami_3.html#T9">AMI_3:9</a></i>
;<br/></div><b>end;</b></div></div><b>end;</b></div>

</div><b>end;</b></div><b>hence </b><a NAME="E5:77_1_1_2_3"/>
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="relat_1.html#K7">|</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p3">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="subset_1.html#K6">\</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a> </span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="relat_1.html#K7">|</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p3">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="subset_1.html#K6">\</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a> </span>)</span>
 <b>by </b><i><a class="txt" href="ami_6.html#E4:77_1_1"><i><font color="Green">E67</font></i></a>, <a class="ref" href="scmfsa6a.html#T9">SCMFSA6A:9</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="funct_7.html#D2">FUNCT_7:def 2</a><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_2_4"><b>suppose </b></a><a NAME="E1:77_1_1_2_4"/>
ex <font color="Olive">b<sub>1</sub></font>, <font color="Olive">b<sub>2</sub></font> being   <a href="ami_3.html#M1">Data-Location</a>  st <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_3.html#K5">SubFrom</a> <font color="Olive">b<sub>1</sub></font>,<font color="Olive">b<sub>2</sub></font>
 ;<br/><div class="add"><b>then consider </b><font color="Maroon">c<sub>4</sub></font>, <font color="Maroon">c<sub>5</sub></font> being    <a href="ami_3.html#M1">Data-Location</a> <b> such that </b><br/><a NAME="E3:77_1_1_2_4"/><i><font color="Green">E70</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_3.html#K5">SubFrom</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font>
 ;<br/><a NAME="E4:77_1_1_2_4"/>
for <font color="Olive">b<sub>1</sub></font> being   <a href="hidden.html#M1">set</a>  st <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="subset_1.html#K6">\</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a>  holds <br/><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Olive">b<sub>1</sub></font>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="77_1_1_2_4_1"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon">c<sub>6</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/>

<b>assume </b><a NAME="E1:77_1_1_2_4_1"/><i><font color="Green">E71</font></i>: 
<font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="subset_1.html#K6">\</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a> 
 ;<br/>

<a NAME="E2:77_1_1_2_4_1"/><b>then </b><i><font color="Green">E72</font></i>: 
not <font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R2">in</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a> 
 
<b>by </b><i><a class="ref" href="xboole_0.html#D4">XBOOLE_0:def 4</a></i>;<br/>
<a NAME="E3:77_1_1_2_4_1"/><i><font color="Green">E73</font></i>: 
<font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span>
 
<b>by </b><i><a class="txt" href="ami_6.html#E1:77_1_1_2_4_1"><i><font color="Green">E71</font></i></a></i>;<br/>
<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_2_4_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:77_1_1_2_4_1_1"/>
( <font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a>  or <font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>4</sub></font> or ( <font color="Maroon">c<sub>6</sub></font> is    <a href="ami_3.html#M1">Data-Location</a>  &amp; <font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>4</sub></font> ) )
 </span><b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1"><i><font color="Green">E66</font></i></a>, <a class="txt" href="ami_6.html#E5:77_1_1"><i><font color="Green">E68</font></i></a>, <a class="txt" href="ami_6.html#E2:77_1_1_2_4_1"><i><font color="Green">E72</font></i></a>, <a class="txt" href="ami_6.html#E3:77_1_1_2_4_1"><i><font color="Green">E73</font></i></a>, <a class="ref" href="ami_6.html#T3" target="_self">Th3</a></i>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_2_4_1_1_1"><b>suppose </b></a><a NAME="E1:77_1_1_2_4_1_1_1"/><i><font color="Green">E74</font></i>: 
<font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> 
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font> = 
 <a href="ami_3.html#K11">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_2_4"><i><font color="Green">E70</font></i></a>, <a class="ref" href="ami_3.html#T10">AMI_3:10</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E6:77_1_1"><i><font color="Green">E69</font></i></a>, <a class="txt" href="ami_6.html#E3:77_1_1_2_4"><i><font color="Green">E70</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_2_4_1_1_1"><i><font color="Green">E74</font></i></a>, <a class="ref" href="ami_3.html#T10">AMI_3:10</a></i>
;<br/><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_2_4_1_1_2"><b>suppose </b></a><a NAME="E1:77_1_1_2_4_1_1_2"/><i><font color="Green">E74</font></i>: 
<font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>4</sub></font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font> = 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="xcmplx_0.html#K6">-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>5</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_2_4"><i><font color="Green">E70</font></i></a>, <a class="ref" href="ami_3.html#T10">AMI_3:10</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="xcmplx_0.html#K6">-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>5</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="ami_6.html#E2:77_1_1"><i><font color="Green">E65</font></i></a>, <a class="ref" href="ami_6.html#T5" target="_self">Th5</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="xcmplx_0.html#K6">-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>5</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="ami_6.html#E2:77_1_1"><i><font color="Green">E65</font></i></a>, <a class="ref" href="ami_6.html#T5" target="_self">Th5</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_2_4"><i><font color="Green">E70</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_2_4_1_1_2"><i><font color="Green">E74</font></i></a>, <a class="ref" href="ami_3.html#T10">AMI_3:10</a></i>
;<br/><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_2_4_1_1_3"><b>suppose </b></a><b>that </b><a NAME="E1:77_1_1_2_4_1_1_3"/><i><font color="Green">E74</font></i>: 
<font color="Maroon">c<sub>6</sub></font> is    <a href="ami_3.html#M1">Data-Location</a> 
 <b>and </b><br/><a NAME="E2:77_1_1_2_4_1_1_3"/><i><font color="Green">E75</font></i>: 
<font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>4</sub></font>
 ;<br/><div class="add"><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font> = 
<font color="Maroon">c<sub>2</sub></font> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_2_4"><i><font color="Green">E70</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_2_4_1_1_3"><i><font color="Green">E74</font></i></a>, <a class="txt" href="ami_6.html#E2:77_1_1_2_4_1_1_3"><i><font color="Green">E75</font></i></a>, <a class="ref" href="ami_3.html#T10">AMI_3:10</a></i>
<br/>.= 
<font color="Maroon">c<sub>3</sub></font> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E2:77_1_1"><i><font color="Green">E65</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_2_4_1_1_3"><i><font color="Green">E74</font></i></a>, <a class="ref" href="ami_6.html#T5" target="_self">Th5</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_2_4"><i><font color="Green">E70</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_2_4_1_1_3"><i><font color="Green">E74</font></i></a>, <a class="txt" href="ami_6.html#E2:77_1_1_2_4_1_1_3"><i><font color="Green">E75</font></i></a>, <a class="ref" href="ami_3.html#T10">AMI_3:10</a></i>
;<br/></div><b>end;</b></div></div><b>end;</b></div>

</div><b>end;</b></div><b>hence </b><a NAME="E5:77_1_1_2_4"/>
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="relat_1.html#K7">|</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p3">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="subset_1.html#K6">\</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a> </span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="relat_1.html#K7">|</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p3">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="subset_1.html#K6">\</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a> </span>)</span>
 <b>by </b><i><a class="txt" href="ami_6.html#E4:77_1_1"><i><font color="Green">E67</font></i></a>, <a class="ref" href="scmfsa6a.html#T9">SCMFSA6A:9</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="funct_7.html#D2">FUNCT_7:def 2</a><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_2_5"><b>suppose </b></a><a NAME="E1:77_1_1_2_5"/>
ex <font color="Olive">b<sub>1</sub></font>, <font color="Olive">b<sub>2</sub></font> being   <a href="ami_3.html#M1">Data-Location</a>  st <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_3.html#K6">MultBy</a> <font color="Olive">b<sub>1</sub></font>,<font color="Olive">b<sub>2</sub></font>
 ;<br/><div class="add"><b>then consider </b><font color="Maroon">c<sub>4</sub></font>, <font color="Maroon">c<sub>5</sub></font> being    <a href="ami_3.html#M1">Data-Location</a> <b> such that </b><br/><a NAME="E3:77_1_1_2_5"/><i><font color="Green">E70</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_3.html#K6">MultBy</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font>
 ;<br/><a NAME="E4:77_1_1_2_5"/>
for <font color="Olive">b<sub>1</sub></font> being   <a href="hidden.html#M1">set</a>  st <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="subset_1.html#K6">\</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a>  holds <br/><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Olive">b<sub>1</sub></font>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="77_1_1_2_5_1"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon">c<sub>6</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/>

<b>assume </b><a NAME="E1:77_1_1_2_5_1"/><i><font color="Green">E71</font></i>: 
<font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="subset_1.html#K6">\</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a> 
 ;<br/>

<a NAME="E2:77_1_1_2_5_1"/><b>then </b><i><font color="Green">E72</font></i>: 
not <font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R2">in</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a> 
 
<b>by </b><i><a class="ref" href="xboole_0.html#D4">XBOOLE_0:def 4</a></i>;<br/>
<a NAME="E3:77_1_1_2_5_1"/><i><font color="Green">E73</font></i>: 
<font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span>
 
<b>by </b><i><a class="txt" href="ami_6.html#E1:77_1_1_2_5_1"><i><font color="Green">E71</font></i></a></i>;<br/>
<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_2_5_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:77_1_1_2_5_1_1"/>
( <font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a>  or <font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>4</sub></font> or ( <font color="Maroon">c<sub>6</sub></font> is    <a href="ami_3.html#M1">Data-Location</a>  &amp; <font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>4</sub></font> ) )
 </span><b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1"><i><font color="Green">E66</font></i></a>, <a class="txt" href="ami_6.html#E5:77_1_1"><i><font color="Green">E68</font></i></a>, <a class="txt" href="ami_6.html#E2:77_1_1_2_5_1"><i><font color="Green">E72</font></i></a>, <a class="txt" href="ami_6.html#E3:77_1_1_2_5_1"><i><font color="Green">E73</font></i></a>, <a class="ref" href="ami_6.html#T3" target="_self">Th3</a></i>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_2_5_1_1_1"><b>suppose </b></a><a NAME="E1:77_1_1_2_5_1_1_1"/><i><font color="Green">E74</font></i>: 
<font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> 
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font> = 
 <a href="ami_3.html#K11">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_2_5"><i><font color="Green">E70</font></i></a>, <a class="ref" href="ami_3.html#T11">AMI_3:11</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E6:77_1_1"><i><font color="Green">E69</font></i></a>, <a class="txt" href="ami_6.html#E3:77_1_1_2_5"><i><font color="Green">E70</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_2_5_1_1_1"><i><font color="Green">E74</font></i></a>, <a class="ref" href="ami_3.html#T11">AMI_3:11</a></i>
;<br/><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_2_5_1_1_2"><b>suppose </b></a><a NAME="E1:77_1_1_2_5_1_1_2"/><i><font color="Green">E74</font></i>: 
<font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>4</sub></font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font> = 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="xcmplx_0.html#K3">*</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>5</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_2_5"><i><font color="Green">E70</font></i></a>, <a class="ref" href="ami_3.html#T11">AMI_3:11</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="xcmplx_0.html#K3">*</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>5</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="ami_6.html#E2:77_1_1"><i><font color="Green">E65</font></i></a>, <a class="ref" href="ami_6.html#T5" target="_self">Th5</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="xcmplx_0.html#K3">*</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>5</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="ami_6.html#E2:77_1_1"><i><font color="Green">E65</font></i></a>, <a class="ref" href="ami_6.html#T5" target="_self">Th5</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_2_5"><i><font color="Green">E70</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_2_5_1_1_2"><i><font color="Green">E74</font></i></a>, <a class="ref" href="ami_3.html#T11">AMI_3:11</a></i>
;<br/><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_2_5_1_1_3"><b>suppose </b></a><b>that </b><a NAME="E1:77_1_1_2_5_1_1_3"/><i><font color="Green">E74</font></i>: 
<font color="Maroon">c<sub>6</sub></font> is    <a href="ami_3.html#M1">Data-Location</a> 
 <b>and </b><br/><a NAME="E2:77_1_1_2_5_1_1_3"/><i><font color="Green">E75</font></i>: 
<font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>4</sub></font>
 ;<br/><div class="add"><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font> = 
<font color="Maroon">c<sub>2</sub></font> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_2_5"><i><font color="Green">E70</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_2_5_1_1_3"><i><font color="Green">E74</font></i></a>, <a class="txt" href="ami_6.html#E2:77_1_1_2_5_1_1_3"><i><font color="Green">E75</font></i></a>, <a class="ref" href="ami_3.html#T11">AMI_3:11</a></i>
<br/>.= 
<font color="Maroon">c<sub>3</sub></font> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E2:77_1_1"><i><font color="Green">E65</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_2_5_1_1_3"><i><font color="Green">E74</font></i></a>, <a class="ref" href="ami_6.html#T5" target="_self">Th5</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_2_5"><i><font color="Green">E70</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_2_5_1_1_3"><i><font color="Green">E74</font></i></a>, <a class="txt" href="ami_6.html#E2:77_1_1_2_5_1_1_3"><i><font color="Green">E75</font></i></a>, <a class="ref" href="ami_3.html#T11">AMI_3:11</a></i>
;<br/></div><b>end;</b></div></div><b>end;</b></div>

</div><b>end;</b></div><b>hence </b><a NAME="E5:77_1_1_2_5"/>
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="relat_1.html#K7">|</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p3">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="subset_1.html#K6">\</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a> </span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="relat_1.html#K7">|</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p3">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="subset_1.html#K6">\</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a> </span>)</span>
 <b>by </b><i><a class="txt" href="ami_6.html#E4:77_1_1"><i><font color="Green">E67</font></i></a>, <a class="ref" href="scmfsa6a.html#T9">SCMFSA6A:9</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="funct_7.html#D2">FUNCT_7:def 2</a><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_2_6"><b>suppose </b></a><a NAME="E1:77_1_1_2_6"/>
ex <font color="Olive">b<sub>1</sub></font>, <font color="Olive">b<sub>2</sub></font> being   <a href="ami_3.html#M1">Data-Location</a>  st <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_3.html#K7">Divide</a> <font color="Olive">b<sub>1</sub></font>,<font color="Olive">b<sub>2</sub></font>
 ;<br/><div class="add"><b>then consider </b><font color="Maroon">c<sub>4</sub></font>, <font color="Maroon">c<sub>5</sub></font> being    <a href="ami_3.html#M1">Data-Location</a> <b> such that </b><br/><a NAME="E3:77_1_1_2_6"/><i><font color="Green">E70</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_3.html#K7">Divide</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font>
 ;<br/><a NAME="E4:77_1_1_2_6"/>
for <font color="Olive">b<sub>1</sub></font> being   <a href="hidden.html#M1">set</a>  st <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="subset_1.html#K6">\</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a>  holds <br/><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Olive">b<sub>1</sub></font>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="77_1_1_2_6_1"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon">c<sub>6</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/>

<b>assume </b><a NAME="E1:77_1_1_2_6_1"/><i><font color="Green">E71</font></i>: 
<font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="subset_1.html#K6">\</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a> 
 ;<br/>

<a NAME="E2:77_1_1_2_6_1"/><b>then </b><i><font color="Green">E72</font></i>: 
not <font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R2">in</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a> 
 
<b>by </b><i><a class="ref" href="xboole_0.html#D4">XBOOLE_0:def 4</a></i>;<br/>
<a NAME="E3:77_1_1_2_6_1"/><i><font color="Green">E73</font></i>: 
<font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span>
 
<b>by </b><i><a class="txt" href="ami_6.html#E1:77_1_1_2_6_1"><i><font color="Green">E71</font></i></a></i>;<br/>
<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_2_6_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:77_1_1_2_6_1_1"/>
( <font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a>  or <font color="Maroon">c<sub>6</sub></font> is    <a href="ami_3.html#M1">Data-Location</a>  )
 </span><b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1"><i><font color="Green">E66</font></i></a>, <a class="txt" href="ami_6.html#E5:77_1_1"><i><font color="Green">E68</font></i></a>, <a class="txt" href="ami_6.html#E2:77_1_1_2_6_1"><i><font color="Green">E72</font></i></a>, <a class="txt" href="ami_6.html#E3:77_1_1_2_6_1"><i><font color="Green">E73</font></i></a>, <a class="ref" href="ami_6.html#T3" target="_self">Th3</a></i>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_2_6_1_1_1"><b>suppose </b></a><a NAME="E1:77_1_1_2_6_1_1_1"/><i><font color="Green">E74</font></i>: 
<font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> 
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font> = 
 <a href="ami_3.html#K11">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_2_6"><i><font color="Green">E70</font></i></a>, <a class="ref" href="ami_3.html#T12">AMI_3:12</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E6:77_1_1"><i><font color="Green">E69</font></i></a>, <a class="txt" href="ami_6.html#E3:77_1_1_2_6"><i><font color="Green">E70</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_2_6_1_1_1"><i><font color="Green">E74</font></i></a>, <a class="ref" href="ami_3.html#T12">AMI_3:12</a></i>
;<br/><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_2_6_1_1_2"><b>suppose </b></a><a NAME="E1:77_1_1_2_6_1_1_2"/><i><font color="Green">E74</font></i>: 
<font color="Maroon">c<sub>6</sub></font> is    <a href="ami_3.html#M1">Data-Location</a> 
 ;<br/><div class="add"><a NAME="E2:77_1_1_2_6_1_1_2"/><i><font color="Green">E75</font></i>: 
( <font color="Maroon">c<sub>2</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>3</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>4</sub></font> &amp; <font color="Maroon">c<sub>2</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>3</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>5</sub></font> )
 <b>by </b><i><a class="txt" href="ami_6.html#E2:77_1_1"><i><font color="Green">E65</font></i></a>, <a class="ref" href="ami_6.html#T5" target="_self">Th5</a></i>;<br/><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="77_1_1_2_6_1_1_2_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">c<sub>7</sub></font> be    <a href="ami_3.html#M1">Data-Location</a> ;<br/><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_2_6_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="E1:77_1_1_2_6_1_1_2_1_1"/>
( <font color="Maroon">c<sub>7</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>5</sub></font> or ( <font color="Maroon">c<sub>7</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>4</sub></font> &amp; <font color="Maroon">c<sub>7</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>5</sub></font> ) or ( <font color="Maroon">c<sub>7</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>4</sub></font> &amp; <font color="Maroon">c<sub>7</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>5</sub></font> ) )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_2_6_1_1_2_1_1_1"><b>suppose </b></a><a NAME="E1:77_1_1_2_6_1_1_2_1_1_1"/><i><font color="Green">E76</font></i>: 
<font color="Maroon">c<sub>7</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>5</sub></font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>7</sub></font> = 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="int_1.html#K6">mod</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>5</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_2_6"><i><font color="Green">E70</font></i></a>, <a class="txt" href="ami_6.html#E2:77_1_1_2_6_1_1_2"><i><font color="Green">E75</font></i></a>, <a class="ref" href="ami_3.html#T12">AMI_3:12</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>7</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_2_6"><i><font color="Green">E70</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_2_6_1_1_2_1_1_1"><i><font color="Green">E76</font></i></a>, <a class="ref" href="ami_3.html#T12">AMI_3:12</a></i>
;<br/><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_2_6_1_1_2_1_1_2"><b>suppose </b></a><a NAME="E1:77_1_1_2_6_1_1_2_1_1_2"/><i><font color="Green">E76</font></i>: 
( <font color="Maroon">c<sub>7</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>4</sub></font> &amp; <font color="Maroon">c<sub>7</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>5</sub></font> )
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>7</sub></font> = 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="int_1.html#K5">div</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>5</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_2_6"><i><font color="Green">E70</font></i></a>, <a class="txt" href="ami_6.html#E2:77_1_1_2_6_1_1_2"><i><font color="Green">E75</font></i></a>, <a class="ref" href="ami_3.html#T12">AMI_3:12</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>7</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_2_6"><i><font color="Green">E70</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_2_6_1_1_2_1_1_2"><i><font color="Green">E76</font></i></a>, <a class="ref" href="ami_3.html#T12">AMI_3:12</a></i>
;<br/><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_2_6_1_1_2_1_1_3"><b>suppose </b></a><a NAME="E1:77_1_1_2_6_1_1_2_1_1_3"/><i><font color="Green">E76</font></i>: 
( <font color="Maroon">c<sub>7</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>4</sub></font> &amp; <font color="Maroon">c<sub>7</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>5</sub></font> )
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>7</sub></font> = 
<font color="Maroon">c<sub>2</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>7</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_2_6"><i><font color="Green">E70</font></i></a>, <a class="ref" href="ami_3.html#T12">AMI_3:12</a></i>
<br/>.= 
<font color="Maroon">c<sub>3</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>7</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E2:77_1_1"><i><font color="Green">E65</font></i></a>, <a class="ref" href="ami_6.html#T5" target="_self">Th5</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>7</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_2_6"><i><font color="Green">E70</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_2_6_1_1_2_1_1_3"><i><font color="Green">E76</font></i></a>, <a class="ref" href="ami_3.html#T12">AMI_3:12</a></i>
;<br/><br/></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div><b>hence </b><a NAME="E4:77_1_1_2_6_1_1_2"/>
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font>
 <b>by </b><i><a class="txt" href="ami_6.html#E1:77_1_1_2_6_1_1_2"><i><font color="Green">E74</font></i></a></i>;<br/></div><b>end;</b></div></div><b>end;</b></div>

</div><b>end;</b></div><b>hence </b><a NAME="E5:77_1_1_2_6"/>
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="relat_1.html#K7">|</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p3">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="subset_1.html#K6">\</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a> </span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="relat_1.html#K7">|</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p3">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="subset_1.html#K6">\</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a> </span>)</span>
 <b>by </b><i><a class="txt" href="ami_6.html#E4:77_1_1"><i><font color="Green">E67</font></i></a>, <a class="ref" href="scmfsa6a.html#T9">SCMFSA6A:9</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="funct_7.html#D2">FUNCT_7:def 2</a><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_2_7"><b>suppose </b></a><a NAME="E1:77_1_1_2_7"/>
ex <font color="Olive">b<sub>1</sub></font> being  <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="ami_3.html#K1">SCM</a>  st <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_3.html#K8">goto</a> <font color="Olive">b<sub>1</sub></font>
 ;<br/><div class="add"><b>then consider </b><font color="Maroon">c<sub>4</sub></font> being   <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="ami_3.html#K1">SCM</a> <b> such that </b><br/><a NAME="E3:77_1_1_2_7"/><i><font color="Green">E70</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_3.html#K8">goto</a> <font color="Maroon">c<sub>4</sub></font>
 ;<br/><a NAME="E4:77_1_1_2_7"/>
for <font color="Olive">b<sub>1</sub></font> being   <a href="hidden.html#M1">set</a>  st <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="subset_1.html#K6">\</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a>  holds <br/><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Olive">b<sub>1</sub></font>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="77_1_1_2_7_1"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon">c<sub>5</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/>

<b>assume </b><a NAME="E1:77_1_1_2_7_1"/><i><font color="Green">E71</font></i>: 
<font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="subset_1.html#K6">\</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a> 
 ;<br/>

<a NAME="E2:77_1_1_2_7_1"/><b>then </b><i><font color="Green">E72</font></i>: 
not <font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R2">in</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a> 
 
<b>by </b><i><a class="ref" href="xboole_0.html#D4">XBOOLE_0:def 4</a></i>;<br/>
<a NAME="E3:77_1_1_2_7_1"/><i><font color="Green">E73</font></i>: 
<font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span>
 
<b>by </b><i><a class="txt" href="ami_6.html#E1:77_1_1_2_7_1"><i><font color="Green">E71</font></i></a></i>;<br/>
<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_2_7_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:77_1_1_2_7_1_1"/>
( <font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a>  or <font color="Maroon">c<sub>5</sub></font> is    <a href="ami_3.html#M1">Data-Location</a>  )
 </span><b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1"><i><font color="Green">E66</font></i></a>, <a class="txt" href="ami_6.html#E5:77_1_1"><i><font color="Green">E68</font></i></a>, <a class="txt" href="ami_6.html#E2:77_1_1_2_7_1"><i><font color="Green">E72</font></i></a>, <a class="txt" href="ami_6.html#E3:77_1_1_2_7_1"><i><font color="Green">E73</font></i></a>, <a class="ref" href="ami_6.html#T3" target="_self">Th3</a></i>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_2_7_1_1_1"><b>suppose </b></a><a NAME="E1:77_1_1_2_7_1_1_1"/><i><font color="Green">E74</font></i>: 
<font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> 
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>5</sub></font> = 
<font color="Maroon">c<sub>4</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_2_7"><i><font color="Green">E70</font></i></a>, <a class="ref" href="ami_3.html#T13">AMI_3:13</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>5</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_2_7"><i><font color="Green">E70</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_2_7_1_1_1"><i><font color="Green">E74</font></i></a>, <a class="ref" href="ami_3.html#T13">AMI_3:13</a></i>
;<br/><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_2_7_1_1_2"><b>suppose </b></a><a NAME="E1:77_1_1_2_7_1_1_2"/><i><font color="Green">E74</font></i>: 
<font color="Maroon">c<sub>5</sub></font> is    <a href="ami_3.html#M1">Data-Location</a> 
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>5</sub></font> = 
<font color="Maroon">c<sub>2</sub></font> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>5</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_2_7"><i><font color="Green">E70</font></i></a>, <a class="ref" href="ami_3.html#T13">AMI_3:13</a></i>
<br/>.= 
<font color="Maroon">c<sub>3</sub></font> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>5</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E2:77_1_1"><i><font color="Green">E65</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_2_7_1_1_2"><i><font color="Green">E74</font></i></a>, <a class="ref" href="ami_6.html#T5" target="_self">Th5</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>5</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_2_7"><i><font color="Green">E70</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_2_7_1_1_2"><i><font color="Green">E74</font></i></a>, <a class="ref" href="ami_3.html#T13">AMI_3:13</a></i>
;<br/><br/></div><b>end;</b></div></div><b>end;</b></div>

</div><b>end;</b></div><b>hence </b><a NAME="E5:77_1_1_2_7"/>
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="relat_1.html#K7">|</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p3">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="subset_1.html#K6">\</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a> </span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="relat_1.html#K7">|</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p3">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="subset_1.html#K6">\</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a> </span>)</span>
 <b>by </b><i><a class="txt" href="ami_6.html#E4:77_1_1"><i><font color="Green">E67</font></i></a>, <a class="ref" href="scmfsa6a.html#T9">SCMFSA6A:9</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="funct_7.html#D2">FUNCT_7:def 2</a><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_2_8"><b>suppose </b></a><a NAME="E1:77_1_1_2_8"/>
ex <font color="Olive">b<sub>1</sub></font> being   <a href="ami_3.html#M1">Data-Location</a> ex <font color="Olive">b<sub>2</sub></font> being  <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="ami_3.html#K1">SCM</a>  st <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Olive">b<sub>1</sub></font> <a href="ami_3.html#K9">=0_goto</a> <font color="Olive">b<sub>2</sub></font>
 ;<br/><div class="add"><b>then consider </b><font color="Maroon">c<sub>4</sub></font> being    <a href="ami_3.html#M1">Data-Location</a> , <font color="Maroon">c<sub>5</sub></font> being   <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="ami_3.html#K1">SCM</a> <b> such that </b><br/><a NAME="E3:77_1_1_2_8"/><i><font color="Green">E70</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>4</sub></font> <a href="ami_3.html#K9">=0_goto</a> <font color="Maroon">c<sub>5</sub></font>
 ;<br/><a NAME="E4:77_1_1_2_8"/>
for <font color="Olive">b<sub>1</sub></font> being   <a href="hidden.html#M1">set</a>  st <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="subset_1.html#K6">\</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a>  holds <br/><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Olive">b<sub>1</sub></font>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="77_1_1_2_8_1"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon">c<sub>6</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/>

<b>assume </b><a NAME="E1:77_1_1_2_8_1"/><i><font color="Green">E71</font></i>: 
<font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="subset_1.html#K6">\</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a> 
 ;<br/>

<a NAME="E2:77_1_1_2_8_1"/><b>then </b><i><font color="Green">E72</font></i>: 
not <font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R2">in</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a> 
 
<b>by </b><i><a class="ref" href="xboole_0.html#D4">XBOOLE_0:def 4</a></i>;<br/>
<a NAME="E3:77_1_1_2_8_1"/><i><font color="Green">E73</font></i>: 
<font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span>
 
<b>by </b><i><a class="txt" href="ami_6.html#E1:77_1_1_2_8_1"><i><font color="Green">E71</font></i></a></i>;<br/>
<a NAME="E4:77_1_1_2_8_1"/><i><font color="Green">E74</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>3</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>4</sub></font>
 
<b>by </b><i><a class="txt" href="ami_6.html#E2:77_1_1"><i><font color="Green">E65</font></i></a>, <a class="ref" href="ami_6.html#T5" target="_self">Th5</a></i>;<br/>
<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_2_8_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:77_1_1_2_8_1_1"/>
( ( <font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a>  &amp; <font color="Maroon">c<sub>2</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a> 0 ) or ( <font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a>  &amp; <font color="Maroon">c<sub>2</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0 ) or <font color="Maroon">c<sub>6</sub></font> is    <a href="ami_3.html#M1">Data-Location</a>  )
 </span><b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1"><i><font color="Green">E66</font></i></a>, <a class="txt" href="ami_6.html#E5:77_1_1"><i><font color="Green">E68</font></i></a>, <a class="txt" href="ami_6.html#E2:77_1_1_2_8_1"><i><font color="Green">E72</font></i></a>, <a class="txt" href="ami_6.html#E3:77_1_1_2_8_1"><i><font color="Green">E73</font></i></a>, <a class="ref" href="ami_6.html#T3" target="_self">Th3</a></i>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_2_8_1_1_1"><b>suppose </b></a><b>that </b><a NAME="E1:77_1_1_2_8_1_1_1"/><i><font color="Green">E75</font></i>: 
<font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> 
 <b>and </b><br/><a NAME="E2:77_1_1_2_8_1_1_1"/><i><font color="Green">E76</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a> 0
 ;<br/><div class="add"><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font> = 
<font color="Maroon">c<sub>5</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_2_8"><i><font color="Green">E70</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_2_8_1_1_1"><i><font color="Green">E75</font></i></a>, <a class="txt" href="ami_6.html#E2:77_1_1_2_8_1_1_1"><i><font color="Green">E76</font></i></a>, <a class="ref" href="ami_3.html#T14">AMI_3:14</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_2_8"><i><font color="Green">E70</font></i></a>, <a class="txt" href="ami_6.html#E4:77_1_1_2_8_1"><i><font color="Green">E74</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_2_8_1_1_1"><i><font color="Green">E75</font></i></a>, <a class="txt" href="ami_6.html#E2:77_1_1_2_8_1_1_1"><i><font color="Green">E76</font></i></a>, <a class="ref" href="ami_3.html#T14">AMI_3:14</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_2_8_1_1_2"><b>suppose </b></a><b>that </b><a NAME="E1:77_1_1_2_8_1_1_2"/><i><font color="Green">E75</font></i>: 
<font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> 
 <b>and </b><br/><a NAME="E2:77_1_1_2_8_1_1_2"/><i><font color="Green">E76</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0
 ;<br/><div class="add"><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font> = 
 <a href="ami_3.html#K11">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_2_8"><i><font color="Green">E70</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_2_8_1_1_2"><i><font color="Green">E75</font></i></a>, <a class="txt" href="ami_6.html#E2:77_1_1_2_8_1_1_2"><i><font color="Green">E76</font></i></a>, <a class="ref" href="ami_3.html#T14">AMI_3:14</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E6:77_1_1"><i><font color="Green">E69</font></i></a>, <a class="txt" href="ami_6.html#E3:77_1_1_2_8"><i><font color="Green">E70</font></i></a>, <a class="txt" href="ami_6.html#E4:77_1_1_2_8_1"><i><font color="Green">E74</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_2_8_1_1_2"><i><font color="Green">E75</font></i></a>, <a class="txt" href="ami_6.html#E2:77_1_1_2_8_1_1_2"><i><font color="Green">E76</font></i></a>, <a class="ref" href="ami_3.html#T14">AMI_3:14</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_2_8_1_1_3"><b>suppose </b></a><a NAME="E1:77_1_1_2_8_1_1_3"/><i><font color="Green">E75</font></i>: 
<font color="Maroon">c<sub>6</sub></font> is    <a href="ami_3.html#M1">Data-Location</a> 
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font> = 
<font color="Maroon">c<sub>2</sub></font> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_2_8"><i><font color="Green">E70</font></i></a>, <a class="ref" href="ami_3.html#T14">AMI_3:14</a></i>
<br/>.= 
<font color="Maroon">c<sub>3</sub></font> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E2:77_1_1"><i><font color="Green">E65</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_2_8_1_1_3"><i><font color="Green">E75</font></i></a>, <a class="ref" href="ami_6.html#T5" target="_self">Th5</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_2_8"><i><font color="Green">E70</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_2_8_1_1_3"><i><font color="Green">E75</font></i></a>, <a class="ref" href="ami_3.html#T14">AMI_3:14</a></i>
;<br/><br/></div><b>end;</b></div></div><b>end;</b></div>

</div><b>end;</b></div><b>hence </b><a NAME="E5:77_1_1_2_8"/>
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="relat_1.html#K7">|</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p3">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="subset_1.html#K6">\</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a> </span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="relat_1.html#K7">|</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p3">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="subset_1.html#K6">\</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a> </span>)</span>
 <b>by </b><i><a class="txt" href="ami_6.html#E4:77_1_1"><i><font color="Green">E67</font></i></a>, <a class="ref" href="scmfsa6a.html#T9">SCMFSA6A:9</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="funct_7.html#D2">FUNCT_7:def 2</a><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_2_9"><b>suppose </b></a><a NAME="E1:77_1_1_2_9"/>
ex <font color="Olive">b<sub>1</sub></font> being   <a href="ami_3.html#M1">Data-Location</a> ex <font color="Olive">b<sub>2</sub></font> being  <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="ami_3.html#K1">SCM</a>  st <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Olive">b<sub>1</sub></font> <a href="ami_3.html#K10">&gt;0_goto</a> <font color="Olive">b<sub>2</sub></font>
 ;<br/><div class="add"><b>then consider </b><font color="Maroon">c<sub>4</sub></font> being    <a href="ami_3.html#M1">Data-Location</a> , <font color="Maroon">c<sub>5</sub></font> being   <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="ami_3.html#K1">SCM</a> <b> such that </b><br/><a NAME="E3:77_1_1_2_9"/><i><font color="Green">E70</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>4</sub></font> <a href="ami_3.html#K10">&gt;0_goto</a> <font color="Maroon">c<sub>5</sub></font>
 ;<br/><a NAME="E4:77_1_1_2_9"/>
for <font color="Olive">b<sub>1</sub></font> being   <a href="hidden.html#M1">set</a>  st <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="subset_1.html#K6">\</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a>  holds <br/><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Olive">b<sub>1</sub></font>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="77_1_1_2_9_1"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon">c<sub>6</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/>

<b>assume </b><a NAME="E1:77_1_1_2_9_1"/><i><font color="Green">E71</font></i>: 
<font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="subset_1.html#K6">\</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a> 
 ;<br/>

<a NAME="E2:77_1_1_2_9_1"/><b>then </b><i><font color="Green">E72</font></i>: 
not <font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R2">in</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a> 
 
<b>by </b><i><a class="ref" href="xboole_0.html#D4">XBOOLE_0:def 4</a></i>;<br/>
<a NAME="E3:77_1_1_2_9_1"/><i><font color="Green">E73</font></i>: 
<font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span>
 
<b>by </b><i><a class="txt" href="ami_6.html#E1:77_1_1_2_9_1"><i><font color="Green">E71</font></i></a></i>;<br/>
<a NAME="E4:77_1_1_2_9_1"/><i><font color="Green">E74</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>3</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>4</sub></font>
 
<b>by </b><i><a class="txt" href="ami_6.html#E2:77_1_1"><i><font color="Green">E65</font></i></a>, <a class="ref" href="ami_6.html#T5" target="_self">Th5</a></i>;<br/>
<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_2_9_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:77_1_1_2_9_1_1"/>
( ( <font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a>  &amp; <font color="Maroon">c<sub>2</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>4</sub></font> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0 ) or ( <font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a>  &amp; <font color="Maroon">c<sub>2</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>4</sub></font> <a href="xxreal_0.html#R1">&lt;=</a> 0 ) or <font color="Maroon">c<sub>6</sub></font> is    <a href="ami_3.html#M1">Data-Location</a>  )
 </span><b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1"><i><font color="Green">E66</font></i></a>, <a class="txt" href="ami_6.html#E5:77_1_1"><i><font color="Green">E68</font></i></a>, <a class="txt" href="ami_6.html#E2:77_1_1_2_9_1"><i><font color="Green">E72</font></i></a>, <a class="txt" href="ami_6.html#E3:77_1_1_2_9_1"><i><font color="Green">E73</font></i></a>, <a class="ref" href="ami_6.html#T3" target="_self">Th3</a></i>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_2_9_1_1_1"><b>suppose </b></a><b>that </b><a NAME="E1:77_1_1_2_9_1_1_1"/><i><font color="Green">E75</font></i>: 
<font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> 
 <b>and </b><br/><a NAME="E2:77_1_1_2_9_1_1_1"/><i><font color="Green">E76</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>4</sub></font> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0
 ;<br/><div class="add"><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font> = 
<font color="Maroon">c<sub>5</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_2_9"><i><font color="Green">E70</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_2_9_1_1_1"><i><font color="Green">E75</font></i></a>, <a class="txt" href="ami_6.html#E2:77_1_1_2_9_1_1_1"><i><font color="Green">E76</font></i></a>, <a class="ref" href="ami_3.html#T15">AMI_3:15</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_2_9"><i><font color="Green">E70</font></i></a>, <a class="txt" href="ami_6.html#E4:77_1_1_2_9_1"><i><font color="Green">E74</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_2_9_1_1_1"><i><font color="Green">E75</font></i></a>, <a class="txt" href="ami_6.html#E2:77_1_1_2_9_1_1_1"><i><font color="Green">E76</font></i></a>, <a class="ref" href="ami_3.html#T15">AMI_3:15</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_2_9_1_1_2"><b>suppose </b></a><b>that </b><a NAME="E1:77_1_1_2_9_1_1_2"/><i><font color="Green">E75</font></i>: 
<font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> 
 <b>and </b><br/><a NAME="E2:77_1_1_2_9_1_1_2"/><i><font color="Green">E76</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="ami_3.html#K2">.</a> <font color="Maroon">c<sub>4</sub></font> <a href="xxreal_0.html#R1">&lt;=</a> 0
 ;<br/><div class="add"><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font> = 
 <a href="ami_3.html#K11">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_2_9"><i><font color="Green">E70</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_2_9_1_1_2"><i><font color="Green">E75</font></i></a>, <a class="txt" href="ami_6.html#E2:77_1_1_2_9_1_1_2"><i><font color="Green">E76</font></i></a>, <a class="ref" href="ami_3.html#T15">AMI_3:15</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E6:77_1_1"><i><font color="Green">E69</font></i></a>, <a class="txt" href="ami_6.html#E3:77_1_1_2_9"><i><font color="Green">E70</font></i></a>, <a class="txt" href="ami_6.html#E4:77_1_1_2_9_1"><i><font color="Green">E74</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_2_9_1_1_2"><i><font color="Green">E75</font></i></a>, <a class="txt" href="ami_6.html#E2:77_1_1_2_9_1_1_2"><i><font color="Green">E76</font></i></a>, <a class="ref" href="ami_3.html#T15">AMI_3:15</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="77_1_1_2_9_1_1_3"><b>suppose </b></a><a NAME="E1:77_1_1_2_9_1_1_3"/><i><font color="Green">E75</font></i>: 
<font color="Maroon">c<sub>6</sub></font> is    <a href="ami_3.html#M1">Data-Location</a> 
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font> = 
<font color="Maroon">c<sub>2</sub></font> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_2_9"><i><font color="Green">E70</font></i></a>, <a class="ref" href="ami_3.html#T15">AMI_3:15</a></i>
<br/>.= 
<font color="Maroon">c<sub>3</sub></font> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E2:77_1_1"><i><font color="Green">E65</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_2_9_1_1_3"><i><font color="Green">E75</font></i></a>, <a class="ref" href="ami_6.html#T5" target="_self">Th5</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font>
<b>by </b><i><a class="txt" href="ami_6.html#E3:77_1_1_2_9"><i><font color="Green">E70</font></i></a>, <a class="txt" href="ami_6.html#E1:77_1_1_2_9_1_1_3"><i><font color="Green">E75</font></i></a>, <a class="ref" href="ami_3.html#T15">AMI_3:15</a></i>
;<br/><br/></div><b>end;</b></div></div><b>end;</b></div>

</div><b>end;</b></div><b>hence </b><a NAME="E5:77_1_1_2_9"/>
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="relat_1.html#K7">|</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p3">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="subset_1.html#K6">\</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a> </span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="relat_1.html#K7">|</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p3">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="subset_1.html#K6">\</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a> </span>)</span>
 <b>by </b><i><a class="txt" href="ami_6.html#E4:77_1_1"><i><font color="Green">E67</font></i></a>, <a class="ref" href="scmfsa6a.html#T9">SCMFSA6A:9</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="funct_7.html#D2">FUNCT_7:def 2</a><br/></div><b>end;</b></div></div><b>end;</b></div>

</div>
