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

<b>thus </b><a NAME="E1:43_1_1"/>
 <a href="scmring2.html#K1" target="_self">SCM</a> <font color="Maroon">R</font> is <a href="ami_1.html#V4">halting</a>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="43_1_1_1"><b>proof </b></a><div class="add">

<b>reconsider </b><font color="Maroon">I</font> = <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> as   <a href="ami_1.html#NM3">Instruction</a> of <span class="p1">(<span class="default"><a href="scmring2.html#K1" target="_self">SCM</a> <font color="Maroon">R</font></span>)</span> <b>by </b><i/>;<br/>
<b>take </b>
<font color="Maroon">I</font>
; <i><font color="Red">:: according to </font></i><a class="ref" href="ami_1.html#D9">AMI_1:def 9</a><br/>

<b>thus </b><a NAME="E2:43_1_1_1"/>
<font color="Maroon">I</font> is <a href="ami_1.html#V3">halting</a>
 <b>by </b><i/>;<br/>

<b>let </b><font color="Maroon">W</font> be   <a href="ami_1.html#NM3">Instruction</a> of <span class="p1">(<span class="default"><a href="scmring2.html#K1" target="_self">SCM</a> <font color="Maroon">R</font></span>)</span>;<br/>

<b>assume </b><a NAME="E3:43_1_1_1"/><i><font color="Green">E33</font></i>: 
<font color="Maroon">W</font> is <a href="ami_1.html#V3">halting</a>
 ;<br/>

<b>assume </b><a NAME="E4:43_1_1_1"/><i><font color="Green">E35</font></i>: 
<font color="Maroon">I</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">W</font>
 ;<br/>

<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="43_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="E1:43_1_1_1_1"/>
( <font color="Maroon">W</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default">0,<a href="xboole_0.html#K1">{}</a> </span><a href="tarski.html#K4">]</a></span> or  ex <font color="Olive">a</font>, <font color="Olive">b</font> being   <a href="scmring2.html#M1" target="_self">Data-Location</a> of <font color="Maroon">R</font> st <font color="Maroon">W</font> <a href="hidden.html#R1">=</a> <font color="Olive">a</font> <a href="scmring2.html#K4" target="_self">:=</a> <font color="Olive">b</font> or  ex <font color="Olive">a</font>, <font color="Olive">b</font> being   <a href="scmring2.html#M1" target="_self">Data-Location</a> of <font color="Maroon">R</font> st <font color="Maroon">W</font> <a href="hidden.html#R1">=</a>  <a href="scmring2.html#K5" target="_self">AddTo</a> <font color="Olive">a</font>,<font color="Olive">b</font> or  ex <font color="Olive">a</font>, <font color="Olive">b</font> being   <a href="scmring2.html#M1" target="_self">Data-Location</a> of <font color="Maroon">R</font> st <font color="Maroon">W</font> <a href="hidden.html#R1">=</a>  <a href="scmring2.html#K6" target="_self">SubFrom</a> <font color="Olive">a</font>,<font color="Olive">b</font> or  ex <font color="Olive">a</font>, <font color="Olive">b</font> being   <a href="scmring2.html#M1" target="_self">Data-Location</a> of <font color="Maroon">R</font> st <font color="Maroon">W</font> <a href="hidden.html#R1">=</a>  <a href="scmring2.html#K7" target="_self">MultBy</a> <font color="Olive">a</font>,<font color="Olive">b</font> or  ex <font color="Olive">i1</font> being  <a href="ami_1.html#NM2">Instruction-Location</a> of <span class="p1">(<span class="default"><a href="scmring2.html#K1" target="_self">SCM</a> <font color="Maroon">R</font></span>)</span> st <font color="Maroon">W</font> <a href="hidden.html#R1">=</a>  <a href="scmring2.html#K9" target="_self">goto</a> <font color="Olive">i1</font> or  ex <font color="Olive">a</font> being   <a href="scmring2.html#M1" target="_self">Data-Location</a> of <font color="Maroon">R</font> ex <font color="Olive">i1</font> being  <a href="ami_1.html#NM2">Instruction-Location</a> of <span class="p1">(<span class="default"><a href="scmring2.html#K1" target="_self">SCM</a> <font color="Maroon">R</font></span>)</span> st <font color="Maroon">W</font> <a href="hidden.html#R1">=</a> <font color="Olive">a</font> <a href="scmring2.html#K10" target="_self">=0_goto</a> <font color="Olive">i1</font> or  ex <font color="Olive">a</font> being   <a href="scmring2.html#M1" target="_self">Data-Location</a> of <font color="Maroon">R</font> ex <font color="Olive">r</font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">R</font> st <font color="Maroon">W</font> <a href="hidden.html#R1">=</a> <font color="Olive">a</font> <a href="scmring2.html#K8" target="_self">:=</a> <font color="Olive">r</font> )
 </span><b>by </b><i/>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="43_1_1_1_1_1"><b>suppose </b></a><a NAME="E1:43_1_1_1_1_1"/>
<font color="Maroon">W</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="E2:43_1_1_1_1_1"/>
contradiction
 <b>by </b><i><a class="ref" href="scmring2.html#D2" target="_self">Def2</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="43_1_1_1_1_2"><b>suppose </b></a><a NAME="E1:43_1_1_1_1_2"/>
 ex <font color="Olive">a</font>, <font color="Olive">b</font> being   <a href="scmring2.html#M1" target="_self">Data-Location</a> of <font color="Maroon">R</font> st <font color="Maroon">W</font> <a href="hidden.html#R1">=</a> <font color="Olive">a</font> <a href="scmring2.html#K4" target="_self">:=</a> <font color="Olive">b</font>
 ;<br/><div class="add"><b>hence </b><a NAME="E2:43_1_1_1_1_2"/>
contradiction
 <b>by </b><i/>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="43_1_1_1_1_3"><b>suppose </b></a><a NAME="E1:43_1_1_1_1_3"/>
 ex <font color="Olive">a</font>, <font color="Olive">b</font> being   <a href="scmring2.html#M1" target="_self">Data-Location</a> of <font color="Maroon">R</font> st <font color="Maroon">W</font> <a href="hidden.html#R1">=</a>  <a href="scmring2.html#K5" target="_self">AddTo</a> <font color="Olive">a</font>,<font color="Olive">b</font>
 ;<br/><div class="add"><b>hence </b><a NAME="E2:43_1_1_1_1_3"/>
contradiction
 <b>by </b><i/>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="43_1_1_1_1_4"><b>suppose </b></a><a NAME="E1:43_1_1_1_1_4"/>
 ex <font color="Olive">a</font>, <font color="Olive">b</font> being   <a href="scmring2.html#M1" target="_self">Data-Location</a> of <font color="Maroon">R</font> st <font color="Maroon">W</font> <a href="hidden.html#R1">=</a>  <a href="scmring2.html#K6" target="_self">SubFrom</a> <font color="Olive">a</font>,<font color="Olive">b</font>
 ;<br/><div class="add"><b>hence </b><a NAME="E2:43_1_1_1_1_4"/>
contradiction
 <b>by </b><i/>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="43_1_1_1_1_5"><b>suppose </b></a><a NAME="E1:43_1_1_1_1_5"/>
 ex <font color="Olive">a</font>, <font color="Olive">b</font> being   <a href="scmring2.html#M1" target="_self">Data-Location</a> of <font color="Maroon">R</font> st <font color="Maroon">W</font> <a href="hidden.html#R1">=</a>  <a href="scmring2.html#K7" target="_self">MultBy</a> <font color="Olive">a</font>,<font color="Olive">b</font>
 ;<br/><div class="add"><b>hence </b><a NAME="E2:43_1_1_1_1_5"/>
contradiction
 <b>by </b><i/>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="43_1_1_1_1_6"><b>suppose </b></a><a NAME="E1:43_1_1_1_1_6"/>
 ex <font color="Olive">i1</font> being  <a href="ami_1.html#NM2">Instruction-Location</a> of <span class="p1">(<span class="default"><a href="scmring2.html#K1" target="_self">SCM</a> <font color="Maroon">R</font></span>)</span> st <font color="Maroon">W</font> <a href="hidden.html#R1">=</a>  <a href="scmring2.html#K9" target="_self">goto</a> <font color="Olive">i1</font>
 ;<br/><div class="add"><b>hence </b><a NAME="E2:43_1_1_1_1_6"/>
contradiction
 <b>by </b><i/>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="43_1_1_1_1_7"><b>suppose </b></a><a NAME="E1:43_1_1_1_1_7"/>
 ex <font color="Olive">a</font> being   <a href="scmring2.html#M1" target="_self">Data-Location</a> of <font color="Maroon">R</font> ex <font color="Olive">i1</font> being  <a href="ami_1.html#NM2">Instruction-Location</a> of <span class="p1">(<span class="default"><a href="scmring2.html#K1" target="_self">SCM</a> <font color="Maroon">R</font></span>)</span> st <font color="Maroon">W</font> <a href="hidden.html#R1">=</a> <font color="Olive">a</font> <a href="scmring2.html#K10" target="_self">=0_goto</a> <font color="Olive">i1</font>
 ;<br/><div class="add"><b>hence </b><a NAME="E2:43_1_1_1_1_7"/>
contradiction
 <b>by </b><i/>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="43_1_1_1_1_8"><b>suppose </b></a><a NAME="E1:43_1_1_1_1_8"/>
 ex <font color="Olive">a</font> being   <a href="scmring2.html#M1" target="_self">Data-Location</a> of <font color="Maroon">R</font> ex <font color="Olive">r</font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">R</font> st <font color="Maroon">W</font> <a href="hidden.html#R1">=</a> <font color="Olive">a</font> <a href="scmring2.html#K8" target="_self">:=</a> <font color="Olive">r</font>
 ;<br/><div class="add"><b>hence </b><a NAME="E2:43_1_1_1_1_8"/>
contradiction
 <b>by </b><i/>;<br/></div><b>end;</b></div></div><b>end;</b></div>

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

<b>thus </b><a NAME="E2:43_1_1"/>
 <a href="scmring2.html#K1" target="_self">SCM</a> <font color="Maroon">R</font> is <a href="ami_1.html#V8">definite</a>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="43_1_1_2"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon">l</font> be   <a href="ami_1.html#NM2">Instruction-Location</a> of <span class="p1">(<span class="default"><a href="scmring2.html#K1" target="_self">SCM</a> <font color="Maroon">R</font></span>)</span>; <i><font color="Red">:: according to </font></i><a class="ref" href="ami_1.html#D14">AMI_1:def 14</a><br/>

<b>reconsider </b><font color="Maroon">L</font> = <font color="Maroon">l</font> as    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K3">SCM-Instr-Loc</a>  <b>by </b><i/>;<br/>
<b>thus </b> <a href="ami_1.html#K3">ObjectKind</a> <font color="Maroon">l</font> = 
<span class="p1">(<span class="default"><a href="scmring1.html#K2">SCM-OK</a> <font color="Maroon">R</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">L</font>
<b>by </b><i/>
<br/>.= 
 <a href="scmring1.html#K1">SCM-Instr</a> <font color="Maroon">R</font>
<b>by </b><i><a class="ref" href="scmring1.html#T6">SCMRING1:6</a></i>
<br/>.= 
the <a href="ami_1.html#U4">Instructions</a> of <span class="p1">(<span class="default"><a href="scmring2.html#K1" target="_self">SCM</a> <font color="Maroon">R</font></span>)</span>
<b>by </b><i/>
;<br/>


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

<b>thus </b><a NAME="E3:43_1_1"/>
 <a href="scmring2.html#K1" target="_self">SCM</a> <font color="Maroon">R</font> is <a href="ami_1.html#V6">data-oriented</a>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="43_1_1_3"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon">x</font> be    <a href="hidden.html#M1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="tarski.html#D3">TARSKI:def 3</a>,<a class="ref" href="ami_1.html#D12">AMI_1:def 12</a><br/>

<b>assume </b><a NAME="E1:43_1_1_3"/><i><font color="Green">E37</font></i>: 
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> the <a href="ami_1.html#U5">Object-Kind</a> of <span class="p1">(<span class="default"><a href="scmring2.html#K1" target="_self">SCM</a> <font color="Maroon">R</font></span>)</span> <a href="relset_1.html#K11">"</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default">the <a href="ami_1.html#U4">Instructions</a> of <span class="p2">(<span class="default"><a href="scmring2.html#K1" target="_self">SCM</a> <font color="Maroon">R</font></span>)</span></span><a href="tarski.html#K1">}</a></span>
 ;<br/>

<a NAME="E2:43_1_1_3"/><b>then </b>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> the <a href="ami_1.html#U5">Object-Kind</a> of <span class="p1">(<span class="default"><a href="scmring2.html#K1" target="_self">SCM</a> <font color="Maroon">R</font></span>)</span> <a href="relset_1.html#K11">"</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><span class="p2">(<span class="default"><a href="scmring1.html#K1">SCM-Instr</a> <font color="Maroon">R</font></span>)</span></span><a href="tarski.html#K1">}</a></span>
 
<b>by </b><i/>;<br/>
<a NAME="E3:43_1_1_3"/><b>then </b><i><font color="Green">E38</font></i>: 
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><a href="scmring1.html#K2">SCM-OK</a> <font color="Maroon">R</font></span>)</span> <a href="relset_1.html#K11">"</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><span class="p2">(<span class="default"><a href="scmring1.html#K1">SCM-Instr</a> <font color="Maroon">R</font></span>)</span></span><a href="tarski.html#K1">}</a></span>
 
<b>by </b><i/>;<br/>
<b>reconsider </b><font color="Maroon">x</font> = <font color="Maroon">x</font> as    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a>  <b>by </b><i>, </i>;<br/>
<a NAME="E5:43_1_1_3"/>
<span class="p1">(<span class="default"><a href="scmring1.html#K2">SCM-OK</a> <font color="Maroon">R</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">x</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><span class="p2">(<span class="default"><a href="scmring1.html#K1">SCM-Instr</a> <font color="Maroon">R</font></span>)</span></span><a href="tarski.html#K1">}</a></span>
 
<b>by </b><i><a class="ref" href="scmring2.html#D2" target="_self">Def2</a>, <a class="ref" href="funct_2.html#T46">FUNCT_2:46</a></i>;<br/>
<a NAME="E6:43_1_1_3"/><b>then </b>
<span class="p1">(<span class="default"><a href="scmring1.html#K2">SCM-OK</a> <font color="Maroon">R</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">x</font> <a href="hidden.html#R1">=</a>  <a href="scmring1.html#K1">SCM-Instr</a> <font color="Maroon">R</font>
 
<b>by </b><i><a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/>
<b>then consider </b><font color="Maroon">i</font> being    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> <b> such that </b><br/><a NAME="E8:43_1_1_3"/><i><font color="Green">E40</font></i>: 
<font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default">2 <a href="nat_1.html#K2">*</a> <font color="Maroon">i</font></span>)</span> <a href="nat_1.html#K1">+</a> <span class="p1">(<span class="default">2 <a href="nat_1.html#K2">*</a> 1</span>)</span>
 <b>by </b><i><a class="ref" href="scmring1.html#T4">SCMRING1:4</a></i>;<br/>
<a NAME="E9:43_1_1_3"/>
( <font color="Maroon">x</font> <a href="hidden.html#R1">=</a> 2 <a href="nat_1.html#K2">*</a> <span class="p1">(<span class="default"><font color="Maroon">i</font> <a href="nat_1.html#K1">+</a> 1</span>)</span> &amp; <font color="Maroon">i</font> <a href="nat_1.html#K1">+</a> 1 <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0 )
 
<b>by </b><i>, <a class="ref" href="nat_1.html#T19">NAT_1:19</a></i>;<br/>
<a NAME="E10:43_1_1_3"/><b>then </b>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a>  <a href="ami_2.html#K3">SCM-Instr-Loc</a> 
 
<b>by </b><i><a class="ref" href="ami_2.html#D3">AMI_2:def 3</a></i>;<br/>
<b>hence </b><a NAME="E11:43_1_1_3"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <span class="p1">(<span class="default"><a href="scmring2.html#K1" target="_self">SCM</a> <font color="Maroon">R</font></span>)</span>
 <b>by </b><i/>;<br/>


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

<b>thus </b><a NAME="E4:43_1_1"/>
 <a href="scmring2.html#K1" target="_self">SCM</a> <font color="Maroon">R</font> is <a href="ami_1.html#V7">steady-programmed</a>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="43_1_1_4"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon">s</font> be   <a href="ami_1.html#NM4">State</a> of <span class="p1">(<span class="default"><a href="scmring2.html#K1" target="_self">SCM</a> <font color="Maroon">R</font></span>)</span>; <i><font color="Red">:: according to </font></i><a class="ref" href="ami_1.html#D13">AMI_1:def 13</a><br/><b>let </b><font color="Maroon">j</font> be   <a href="ami_1.html#NM3">Instruction</a> of <span class="p1">(<span class="default"><a href="scmring2.html#K1" target="_self">SCM</a> <font color="Maroon">R</font></span>)</span>;<br/><b>let </b><font color="Maroon">l</font> be   <a href="ami_1.html#NM2">Instruction-Location</a> of <span class="p1">(<span class="default"><a href="scmring2.html#K1" target="_self">SCM</a> <font color="Maroon">R</font></span>)</span>;<br/>





<b>reconsider </b><font color="Maroon">c</font> = <font color="Maroon">j</font> as    <a href="subset_1.html#M1">Element</a> of  <a href="scmring1.html#K1">SCM-Instr</a> <font color="Maroon">R</font> <b>by </b><i/>;<br/>
<a NAME="E2:43_1_1_4"/>
 <a href="scmring1.html#K1">SCM-Instr</a> <font color="Maroon">R</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4"><a href="tarski.html#K1">{</a><span class="default"><span class="p5"><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></span><a href="tarski.html#K1">}</a></span> <a href="xboole_0.html#K2">\/</a> <span class="p4">{<span class="default"> <span class="p5"><a href="tarski.html#K4">[</a><span class="default"><font color="Olive">I</font>,<span class="p0"><a href="finseq_1.html#K10">&lt;*</a><span class="default"><font color="Olive">a</font>,<font color="Olive">b</font></span><a href="finseq_1.html#K10">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> where <font color="Olive">I</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="gr_cy_1.html#K1">Segm</a> 8, <font color="Olive">a</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a> , <font color="Olive">b</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a>  : <font color="Olive">I</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="enumset1.html#K2">{</a><span class="default">1,2,3,4</span><a href="enumset1.html#K2">}</a></span> </span>}</span> </span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p3">{<span class="default"> <span class="p4"><a href="tarski.html#K4">[</a><span class="default">6,<span class="p5"><a href="finseq_1.html#K12">&lt;*</a><span class="default"><font color="Olive">i</font></span><a href="finseq_1.html#K12">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> where <font color="Olive">i</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K3">SCM-Instr-Loc</a>  : verum </span>}</span> </span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p2">{<span class="default"> <span class="p3"><a href="tarski.html#K4">[</a><span class="default">7,<span class="p4"><a href="finseq_1.html#K10">&lt;*</a><span class="default"><font color="Olive">i</font>,<font color="Olive">a</font></span><a href="finseq_1.html#K10">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> where <font color="Olive">i</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K3">SCM-Instr-Loc</a> , <font color="Olive">a</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a>  : verum </span>}</span> </span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1">{<span class="default"> <span class="p2"><a href="tarski.html#K4">[</a><span class="default">5,<span class="p3"><a href="scmring1.html#K12">&lt;*</a><span class="default"><font color="Olive">a</font>,<font color="Olive">r</font></span><a href="scmring1.html#K12">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> where <font color="Olive">a</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a> , <font color="Olive">r</font> is   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">R</font> : verum </span>}</span> 
 
<b>by </b><i><a class="ref" href="scmring1.html#D1">SCMRING1:def 1</a></i>;<br/>
<a NAME="E3:43_1_1_4"/><b>then </b>
( <font color="Maroon">c</font> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3"><a href="tarski.html#K1">{</a><span class="default"><span class="p4"><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></span><a href="tarski.html#K1">}</a></span> <a href="xboole_0.html#K2">\/</a> <span class="p3">{<span class="default"> <span class="p4"><a href="tarski.html#K4">[</a><span class="default"><font color="Olive">I</font>,<span class="p5"><a href="finseq_1.html#K10">&lt;*</a><span class="default"><font color="Olive">a</font>,<font color="Olive">b</font></span><a href="finseq_1.html#K10">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> where <font color="Olive">I</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="gr_cy_1.html#K1">Segm</a> 8, <font color="Olive">a</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a> , <font color="Olive">b</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a>  : <font color="Olive">I</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="enumset1.html#K2">{</a><span class="default">1,2,3,4</span><a href="enumset1.html#K2">}</a></span> </span>}</span> </span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p2">{<span class="default"> <span class="p3"><a href="tarski.html#K4">[</a><span class="default">6,<span class="p4"><a href="finseq_1.html#K12">&lt;*</a><span class="default"><font color="Olive">i</font></span><a href="finseq_1.html#K12">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> where <font color="Olive">i</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K3">SCM-Instr-Loc</a>  : verum </span>}</span> </span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1">{<span class="default"> <span class="p2"><a href="tarski.html#K4">[</a><span class="default">7,<span class="p3"><a href="finseq_1.html#K10">&lt;*</a><span class="default"><font color="Olive">i</font>,<font color="Olive">a</font></span><a href="finseq_1.html#K10">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> where <font color="Olive">i</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K3">SCM-Instr-Loc</a> , <font color="Olive">a</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a>  : verum </span>}</span>  or <font color="Maroon">c</font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <span class="p2"><a href="tarski.html#K4">[</a><span class="default">5,<span class="p3"><a href="scmring1.html#K12">&lt;*</a><span class="default"><font color="Olive">a</font>,<font color="Olive">r</font></span><a href="scmring1.html#K12">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> where <font color="Olive">a</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a> , <font color="Olive">r</font> is   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">R</font> : verum </span>}</span>  )
 
<b>by </b><i><a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/>
<a NAME="E4:43_1_1_4"/><b>then </b>
( <font color="Maroon">c</font> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><span class="p2"><a href="tarski.html#K1">{</a><span class="default"><span class="p3"><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></span><a href="tarski.html#K1">}</a></span> <a href="xboole_0.html#K2">\/</a> <span class="p2">{<span class="default"> <span class="p3"><a href="tarski.html#K4">[</a><span class="default"><font color="Olive">I</font>,<span class="p4"><a href="finseq_1.html#K10">&lt;*</a><span class="default"><font color="Olive">a</font>,<font color="Olive">b</font></span><a href="finseq_1.html#K10">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> where <font color="Olive">I</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="gr_cy_1.html#K1">Segm</a> 8, <font color="Olive">a</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a> , <font color="Olive">b</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a>  : <font color="Olive">I</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="enumset1.html#K2">{</a><span class="default">1,2,3,4</span><a href="enumset1.html#K2">}</a></span> </span>}</span> </span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1">{<span class="default"> <span class="p2"><a href="tarski.html#K4">[</a><span class="default">6,<span class="p3"><a href="finseq_1.html#K12">&lt;*</a><span class="default"><font color="Olive">i</font></span><a href="finseq_1.html#K12">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> where <font color="Olive">i</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K3">SCM-Instr-Loc</a>  : verum </span>}</span>  or <font color="Maroon">c</font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <span class="p2"><a href="tarski.html#K4">[</a><span class="default">7,<span class="p3"><a href="finseq_1.html#K10">&lt;*</a><span class="default"><font color="Olive">i</font>,<font color="Olive">a</font></span><a href="finseq_1.html#K10">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> where <font color="Olive">i</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K3">SCM-Instr-Loc</a> , <font color="Olive">a</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a>  : verum </span>}</span>  or <font color="Maroon">c</font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <span class="p2"><a href="tarski.html#K4">[</a><span class="default">5,<span class="p3"><a href="scmring1.html#K12">&lt;*</a><span class="default"><font color="Olive">a</font>,<font color="Olive">r</font></span><a href="scmring1.html#K12">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> where <font color="Olive">a</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a> , <font color="Olive">r</font> is   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">R</font> : verum </span>}</span>  )
 
<b>by </b><i><a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/>
<a NAME="E5:43_1_1_4"/><b>then </b><i><font color="Green">E62</font></i>: 
( <font color="Maroon">c</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><span class="p2"><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></span><a href="tarski.html#K1">}</a></span> <a href="xboole_0.html#K2">\/</a> <span class="p1">{<span class="default"> <span class="p2"><a href="tarski.html#K4">[</a><span class="default"><font color="Olive">I</font>,<span class="p3"><a href="finseq_1.html#K10">&lt;*</a><span class="default"><font color="Olive">a</font>,<font color="Olive">b</font></span><a href="finseq_1.html#K10">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> where <font color="Olive">I</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="gr_cy_1.html#K1">Segm</a> 8, <font color="Olive">a</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a> , <font color="Olive">b</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a>  : <font color="Olive">I</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="enumset1.html#K2">{</a><span class="default">1,2,3,4</span><a href="enumset1.html#K2">}</a></span> </span>}</span>  or <font color="Maroon">c</font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <span class="p2"><a href="tarski.html#K4">[</a><span class="default">6,<span class="p3"><a href="finseq_1.html#K12">&lt;*</a><span class="default"><font color="Olive">i</font></span><a href="finseq_1.html#K12">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> where <font color="Olive">i</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K3">SCM-Instr-Loc</a>  : verum </span>}</span>  or <font color="Maroon">c</font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <span class="p2"><a href="tarski.html#K4">[</a><span class="default">7,<span class="p3"><a href="finseq_1.html#K10">&lt;*</a><span class="default"><font color="Olive">i</font>,<font color="Olive">a</font></span><a href="finseq_1.html#K10">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> where <font color="Olive">i</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K3">SCM-Instr-Loc</a> , <font color="Olive">a</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a>  : verum </span>}</span>  or <font color="Maroon">c</font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <span class="p2"><a href="tarski.html#K4">[</a><span class="default">5,<span class="p3"><a href="scmring1.html#K12">&lt;*</a><span class="default"><font color="Olive">a</font>,<font color="Olive">r</font></span><a href="scmring1.html#K12">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> where <font color="Olive">a</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a> , <font color="Olive">r</font> is   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">R</font> : verum </span>}</span>  )
 
<b>by </b><i><a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/>
<b>reconsider </b><font color="Maroon">S</font> = <font color="Maroon">s</font> as   <a href="scmring1.html#NM1">SCM-State</a> of <font color="Maroon">R</font> <b>by </b><i/>;<br/>
<b>reconsider </b><font color="Maroon">l'</font> = <font color="Maroon">l</font> as    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K3">SCM-Instr-Loc</a>  <b>by </b><i/>;<br/>
<i><font color="Green">E63</font></i>:  <a href="ami_1.html#K4">Exec</a> <font color="Maroon">j</font>,<font color="Maroon">s</font> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmring1.html#K16">SCM-Exec</a> <font color="Maroon">R</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">c</font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">S</font>
<b>by </b><i/>
<br/>.= 
 <a href="scmring1.html#K15">SCM-Exec-Res</a> <font color="Maroon">c</font>,<font color="Maroon">S</font>
<b>by </b><i><a class="ref" href="scmring1.html#D15">SCMRING1:def 15</a></i>
;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="43_1_1_4_2"><b>now </b></a><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="43_1_1_4_2_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:43_1_1_4_2_1"/>
( <font color="Maroon">c</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><span class="p2"><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></span><a href="tarski.html#K1">}</a></span> or <font color="Maroon">c</font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <span class="p2"><a href="tarski.html#K4">[</a><span class="default">6,<span class="p3"><a href="finseq_1.html#K12">&lt;*</a><span class="default"><font color="Olive">i</font></span><a href="finseq_1.html#K12">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> where <font color="Olive">i</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K3">SCM-Instr-Loc</a>  : verum </span>}</span>  or <font color="Maroon">c</font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <span class="p2"><a href="tarski.html#K4">[</a><span class="default">7,<span class="p3"><a href="finseq_1.html#K10">&lt;*</a><span class="default"><font color="Olive">i</font>,<font color="Olive">a</font></span><a href="finseq_1.html#K10">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> where <font color="Olive">i</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K3">SCM-Instr-Loc</a> , <font color="Olive">a</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a>  : verum </span>}</span>  or <font color="Maroon">c</font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <span class="p2"><a href="tarski.html#K4">[</a><span class="default"><font color="Olive">I</font>,<span class="p3"><a href="finseq_1.html#K10">&lt;*</a><span class="default"><font color="Olive">a</font>,<font color="Olive">b</font></span><a href="finseq_1.html#K10">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> where <font color="Olive">I</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="gr_cy_1.html#K1">Segm</a> 8, <font color="Olive">a</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a> , <font color="Olive">b</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a>  : <font color="Olive">I</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="enumset1.html#K2">{</a><span class="default">1,2,3,4</span><a href="enumset1.html#K2">}</a></span> </span>}</span>  or <font color="Maroon">c</font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <span class="p2"><a href="tarski.html#K4">[</a><span class="default">5,<span class="p3"><a href="scmring1.html#K12">&lt;*</a><span class="default"><font color="Olive">a</font>,<font color="Olive">r</font></span><a href="scmring1.html#K12">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> where <font color="Olive">a</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a> , <font color="Olive">r</font> is   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">R</font> : verum </span>}</span>  )
 </span><b>by </b><i>, <a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="43_1_1_4_2_1_1"><b>case </b></a><a NAME="E1:43_1_1_4_2_1_1"/>
<font color="Maroon">c</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><span class="p2"><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></span><a href="tarski.html#K1">}</a></span>
 ;<br/><div class="add"><a NAME="E2:43_1_1_4_2_1_1"/><b>then </b>
<font color="Maroon">c</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>
 <b>by </b><i><a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/><a NAME="E3:43_1_1_4_2_1_1"/><b>then </b>
<font color="Maroon">c</font> <a href="mcart_1.html#K2">`2</a>  <a href="hidden.html#R1">=</a>  <a href="xboole_0.html#K1">{}</a> 
 <b>by </b><i><a class="ref" href="mcart_1.html#T7">MCART_1:7</a></i>;<br/><a NAME="E4:43_1_1_4_2_1_1"/><b>then </b>
( ( for <font color="Olive">mk</font>, <font color="Olive">ml</font> being   <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a>   holds not <font color="Maroon">c</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default">1,<span class="p2"><a href="finseq_1.html#K10">&lt;*</a><span class="default"><font color="Olive">mk</font>,<font color="Olive">ml</font></span><a href="finseq_1.html#K10">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> ) &amp; ( for <font color="Olive">mk</font>, <font color="Olive">ml</font> being   <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a>   holds not <font color="Maroon">c</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default">2,<span class="p2"><a href="finseq_1.html#K10">&lt;*</a><span class="default"><font color="Olive">mk</font>,<font color="Olive">ml</font></span><a href="finseq_1.html#K10">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> ) &amp; ( for <font color="Olive">mk</font>, <font color="Olive">ml</font> being   <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a>   holds not <font color="Maroon">c</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default">3,<span class="p2"><a href="finseq_1.html#K10">&lt;*</a><span class="default"><font color="Olive">mk</font>,<font color="Olive">ml</font></span><a href="finseq_1.html#K10">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> ) &amp; ( for <font color="Olive">mk</font>, <font color="Olive">ml</font> being   <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a>   holds not <font color="Maroon">c</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default">4,<span class="p2"><a href="finseq_1.html#K10">&lt;*</a><span class="default"><font color="Olive">mk</font>,<font color="Olive">ml</font></span><a href="finseq_1.html#K10">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> ) &amp; ( for <font color="Olive">mk</font> being   <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K3">SCM-Instr-Loc</a>   holds not <font color="Maroon">c</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default">6,<span class="p2"><a href="finseq_1.html#K12">&lt;*</a><span class="default"><font color="Olive">mk</font></span><a href="finseq_1.html#K12">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> ) &amp; ( for <font color="Olive">mk</font> being   <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K3">SCM-Instr-Loc</a> <br/> for <font color="Olive">ml</font> being   <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a>   holds not <font color="Maroon">c</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default">7,<span class="p2"><a href="finseq_1.html#K10">&lt;*</a><span class="default"><font color="Olive">mk</font>,<font color="Olive">ml</font></span><a href="finseq_1.html#K10">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> ) &amp; ( for <font color="Olive">mk</font> being   <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a> <br/> for <font color="Olive">r</font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">R</font>  holds not <font color="Maroon">c</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default">5,<span class="p2"><a href="scmring1.html#K12">&lt;*</a><span class="default"><font color="Olive">mk</font>,<font color="Olive">r</font></span><a href="scmring1.html#K12">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> ) )
 <b>by </b><i><a class="ref" href="mcart_1.html#T7">MCART_1:7</a></i>;<br/><b>hence </b><a NAME="E5:43_1_1_4_2_1_1"/>
<span class="p1">(<span class="default"><a href="scmring1.html#K15">SCM-Exec-Res</a> <font color="Maroon">c</font>,<font color="Maroon">S</font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">l'</font> <a href="hidden.html#R1">=</a> <font color="Maroon">S</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">l'</font>
 <b>by </b><i><a class="ref" href="scmring1.html#D14">SCMRING1:def 14</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="43_1_1_4_2_1_2"><b>case </b></a><a NAME="E1:43_1_1_4_2_1_2"/>
<font color="Maroon">c</font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <span class="p2"><a href="tarski.html#K4">[</a><span class="default">6,<span class="p3"><a href="finseq_1.html#K12">&lt;*</a><span class="default"><font color="Olive">i</font></span><a href="finseq_1.html#K12">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> where <font color="Olive">i</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K3">SCM-Instr-Loc</a>  : verum </span>}</span> 
 ;<br/><div class="add"><b>then consider </b><font color="Maroon">i</font> being    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K3">SCM-Instr-Loc</a> <b> such that </b><br/><a NAME="E3:43_1_1_4_2_1_2"/><i><font color="Green">E92</font></i>: 
<font color="Maroon">c</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default">6,<span class="p2"><a href="finseq_1.html#K12">&lt;*</a><span class="default"><font color="Maroon">i</font></span><a href="finseq_1.html#K12">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span>
 <b>and </b><br/><a NAME="E4:43_1_1_4_2_1_2"/>
verum
 ;<br/><b>thus </b><span class="p1">(<span class="default"><a href="scmring1.html#K15">SCM-Exec-Res</a> <font color="Maroon">c</font>,<font color="Maroon">S</font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">l'</font> = 
<span class="p1">(<span class="default"><a href="scmring1.html#K4">SCM-Chg</a> <font color="Maroon">S</font>,<span class="p2">(<span class="default"><font color="Maroon">c</font> <a href="scmring1.html#K9">jump_address</a> </span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">l'</font>
<b>by </b><i>, <a class="ref" href="scmring1.html#D14">SCMRING1:def 14</a></i>
<br/>.= 
<font color="Maroon">S</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">l'</font>
<b>by </b><i><a class="ref" href="scmring1.html#T12">SCMRING1:12</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="43_1_1_4_2_1_3"><b>case </b></a><a NAME="E1:43_1_1_4_2_1_3"/>
<font color="Maroon">c</font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <span class="p2"><a href="tarski.html#K4">[</a><span class="default">7,<span class="p3"><a href="finseq_1.html#K10">&lt;*</a><span class="default"><font color="Olive">i</font>,<font color="Olive">a</font></span><a href="finseq_1.html#K10">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> where <font color="Olive">i</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K3">SCM-Instr-Loc</a> , <font color="Olive">a</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a>  : verum </span>}</span> 
 ;<br/><div class="add"><b>then consider </b><font color="Maroon">i</font> being    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K3">SCM-Instr-Loc</a> , <font color="Maroon">a</font> being    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a> <b> such that </b><br/><a NAME="E3:43_1_1_4_2_1_3"/><i><font color="Green">E93</font></i>: 
<font color="Maroon">c</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default">7,<span class="p2"><a href="finseq_1.html#K10">&lt;*</a><span class="default"><font color="Maroon">i</font>,<font color="Maroon">a</font></span><a href="finseq_1.html#K10">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span>
 <b>and </b><br/><a NAME="E4:43_1_1_4_2_1_3"/>
verum
 ;<br/><b>thus </b><span class="p1">(<span class="default"><a href="scmring1.html#K15">SCM-Exec-Res</a> <font color="Maroon">c</font>,<font color="Maroon">S</font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">l'</font> = 
<span class="p1">(<span class="default"><a href="scmring1.html#K4">SCM-Chg</a> <font color="Maroon">S</font>,<span class="p2">(<span class="default"><a href="cqc_lang.html#K2">IFEQ</a> <span class="p3">(<span class="default"><font color="Maroon">S</font> <a href="scmring1.html#K6">.</a> <span class="p4">(<span class="default"><font color="Maroon">c</font> <a href="scmring1.html#K11">cond_address</a> </span>)</span></span>)</span>,<span class="p3">(<span class="default"><a href="rlvect_1.html#K1">0.</a> <font color="Maroon">R</font></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">c</font> <a href="scmring1.html#K10">cjump_address</a> </span>)</span>,<span class="p3">(<span class="default"><a href="ami_2.html#K15">Next</a> <span class="p4">(<span class="default"><a href="scmring1.html#K3">IC</a> <font color="Maroon">S</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">l'</font>
<b>by </b><i>, <a class="ref" href="scmring1.html#D14">SCMRING1:def 14</a></i>
<br/>.= 
<font color="Maroon">S</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">l'</font>
<b>by </b><i><a class="ref" href="scmring1.html#T12">SCMRING1:12</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="43_1_1_4_2_1_4"><b>case </b></a><a NAME="E1:43_1_1_4_2_1_4"/>
<font color="Maroon">c</font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <span class="p2"><a href="tarski.html#K4">[</a><span class="default"><font color="Olive">I</font>,<span class="p3"><a href="finseq_1.html#K10">&lt;*</a><span class="default"><font color="Olive">a</font>,<font color="Olive">b</font></span><a href="finseq_1.html#K10">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> where <font color="Olive">I</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="gr_cy_1.html#K1">Segm</a> 8, <font color="Olive">a</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a> , <font color="Olive">b</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a>  : <font color="Olive">I</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="enumset1.html#K2">{</a><span class="default">1,2,3,4</span><a href="enumset1.html#K2">}</a></span> </span>}</span> 
 ;<br/><div class="add"><b>then consider </b><font color="Maroon">I</font> being    <a href="subset_1.html#M2">Element</a> of  <a href="gr_cy_1.html#K1">Segm</a> 8, <font color="Maroon">a</font> being    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a> , <font color="Maroon">b</font> being    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a> <b> such that </b><br/><a NAME="E3:43_1_1_4_2_1_4"/><i><font color="Green">E94</font></i>: 
( <font color="Maroon">c</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">I</font>,<span class="p2"><a href="finseq_1.html#K10">&lt;*</a><span class="default"><font color="Maroon">a</font>,<font color="Maroon">b</font></span><a href="finseq_1.html#K10">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> &amp; <font color="Maroon">I</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="enumset1.html#K2">{</a><span class="default">1,2,3,4</span><a href="enumset1.html#K2">}</a></span> )
 ;<br/><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="43_1_1_4_2_1_4_1"><b>now </b></a><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="43_1_1_4_2_1_4_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:43_1_1_4_2_1_4_1_1"/>
( <font color="Maroon">I</font> <a href="hidden.html#R1">=</a> 1 or <font color="Maroon">I</font> <a href="hidden.html#R1">=</a> 2 or <font color="Maroon">I</font> <a href="hidden.html#R1">=</a> 3 or <font color="Maroon">I</font> <a href="hidden.html#R1">=</a> 4 )
 </span><b>by </b><i>, <a class="ref" href="enumset1.html#D2">ENUMSET1:def 2</a></i>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="43_1_1_4_2_1_4_1_1_1"><b>case </b></a><a NAME="E1:43_1_1_4_2_1_4_1_1_1"/>
<font color="Maroon">I</font> <a href="hidden.html#R1">=</a> 1
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="scmring1.html#K15">SCM-Exec-Res</a> <font color="Maroon">c</font>,<font color="Maroon">S</font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">l'</font> = 
<span class="p1">(<span class="default"><a href="scmring1.html#K4">SCM-Chg</a> <span class="p2">(<span class="default"><a href="scmring1.html#K5">SCM-Chg</a> <font color="Maroon">S</font>,<span class="p3">(<span class="default"><font color="Maroon">c</font> <a href="scmring1.html#K7">address_1</a> </span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">S</font> <a href="scmring1.html#K6">.</a> <span class="p4">(<span class="default"><font color="Maroon">c</font> <a href="scmring1.html#K8">address_2</a> </span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="ami_2.html#K15">Next</a> <span class="p3">(<span class="default"><a href="scmring1.html#K3">IC</a> <font color="Maroon">S</font></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">l'</font>
<b>by </b><i>, <a class="ref" href="scmring1.html#D14">SCMRING1:def 14</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="scmring1.html#K5">SCM-Chg</a> <font color="Maroon">S</font>,<span class="p2">(<span class="default"><font color="Maroon">c</font> <a href="scmring1.html#K7">address_1</a> </span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">S</font> <a href="scmring1.html#K6">.</a> <span class="p3">(<span class="default"><font color="Maroon">c</font> <a href="scmring1.html#K8">address_2</a> </span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">l'</font>
<b>by </b><i><a class="ref" href="scmring1.html#T12">SCMRING1:12</a></i>
<br/>.= 
<font color="Maroon">S</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">l'</font>
<b>by </b><i><a class="ref" href="scmring1.html#T16">SCMRING1:16</a></i>
;<br/><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="43_1_1_4_2_1_4_1_1_2"><b>case </b></a><a NAME="E1:43_1_1_4_2_1_4_1_1_2"/>
<font color="Maroon">I</font> <a href="hidden.html#R1">=</a> 2
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="scmring1.html#K15">SCM-Exec-Res</a> <font color="Maroon">c</font>,<font color="Maroon">S</font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">l'</font> = 
<span class="p1">(<span class="default"><a href="scmring1.html#K4">SCM-Chg</a> <span class="p2">(<span class="default"><a href="scmring1.html#K5">SCM-Chg</a> <font color="Maroon">S</font>,<span class="p3">(<span class="default"><font color="Maroon">c</font> <a href="scmring1.html#K7">address_1</a> </span>)</span>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">S</font> <a href="scmring1.html#K6">.</a> <span class="p5">(<span class="default"><font color="Maroon">c</font> <a href="scmring1.html#K7">address_1</a> </span>)</span></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p4">(<span class="default"><font color="Maroon">S</font> <a href="scmring1.html#K6">.</a> <span class="p5">(<span class="default"><font color="Maroon">c</font> <a href="scmring1.html#K8">address_2</a> </span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="ami_2.html#K15">Next</a> <span class="p3">(<span class="default"><a href="scmring1.html#K3">IC</a> <font color="Maroon">S</font></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">l'</font>
<b>by </b><i>, <a class="ref" href="scmring1.html#D14">SCMRING1:def 14</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="scmring1.html#K5">SCM-Chg</a> <font color="Maroon">S</font>,<span class="p2">(<span class="default"><font color="Maroon">c</font> <a href="scmring1.html#K7">address_1</a> </span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">S</font> <a href="scmring1.html#K6">.</a> <span class="p4">(<span class="default"><font color="Maroon">c</font> <a href="scmring1.html#K7">address_1</a> </span>)</span></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p3">(<span class="default"><font color="Maroon">S</font> <a href="scmring1.html#K6">.</a> <span class="p4">(<span class="default"><font color="Maroon">c</font> <a href="scmring1.html#K8">address_2</a> </span>)</span></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">l'</font>
<b>by </b><i><a class="ref" href="scmring1.html#T12">SCMRING1:12</a></i>
<br/>.= 
<font color="Maroon">S</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">l'</font>
<b>by </b><i><a class="ref" href="scmring1.html#T16">SCMRING1:16</a></i>
;<br/><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="43_1_1_4_2_1_4_1_1_3"><b>case </b></a><a NAME="E1:43_1_1_4_2_1_4_1_1_3"/>
<font color="Maroon">I</font> <a href="hidden.html#R1">=</a> 3
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="scmring1.html#K15">SCM-Exec-Res</a> <font color="Maroon">c</font>,<font color="Maroon">S</font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">l'</font> = 
<span class="p1">(<span class="default"><a href="scmring1.html#K4">SCM-Chg</a> <span class="p2">(<span class="default"><a href="scmring1.html#K5">SCM-Chg</a> <font color="Maroon">S</font>,<span class="p3">(<span class="default"><font color="Maroon">c</font> <a href="scmring1.html#K7">address_1</a> </span>)</span>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">S</font> <a href="scmring1.html#K6">.</a> <span class="p5">(<span class="default"><font color="Maroon">c</font> <a href="scmring1.html#K7">address_1</a> </span>)</span></span>)</span> <a href="rlvect_1.html#K6">-</a> <span class="p4">(<span class="default"><font color="Maroon">S</font> <a href="scmring1.html#K6">.</a> <span class="p5">(<span class="default"><font color="Maroon">c</font> <a href="scmring1.html#K8">address_2</a> </span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="ami_2.html#K15">Next</a> <span class="p3">(<span class="default"><a href="scmring1.html#K3">IC</a> <font color="Maroon">S</font></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">l'</font>
<b>by </b><i>, <a class="ref" href="scmring1.html#D14">SCMRING1:def 14</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="scmring1.html#K5">SCM-Chg</a> <font color="Maroon">S</font>,<span class="p2">(<span class="default"><font color="Maroon">c</font> <a href="scmring1.html#K7">address_1</a> </span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">S</font> <a href="scmring1.html#K6">.</a> <span class="p4">(<span class="default"><font color="Maroon">c</font> <a href="scmring1.html#K7">address_1</a> </span>)</span></span>)</span> <a href="rlvect_1.html#K6">-</a> <span class="p3">(<span class="default"><font color="Maroon">S</font> <a href="scmring1.html#K6">.</a> <span class="p4">(<span class="default"><font color="Maroon">c</font> <a href="scmring1.html#K8">address_2</a> </span>)</span></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">l'</font>
<b>by </b><i><a class="ref" href="scmring1.html#T12">SCMRING1:12</a></i>
<br/>.= 
<font color="Maroon">S</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">l'</font>
<b>by </b><i><a class="ref" href="scmring1.html#T16">SCMRING1:16</a></i>
;<br/><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="43_1_1_4_2_1_4_1_1_4"><b>case </b></a><a NAME="E1:43_1_1_4_2_1_4_1_1_4"/>
<font color="Maroon">I</font> <a href="hidden.html#R1">=</a> 4
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="scmring1.html#K15">SCM-Exec-Res</a> <font color="Maroon">c</font>,<font color="Maroon">S</font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">l'</font> = 
<span class="p1">(<span class="default"><a href="scmring1.html#K4">SCM-Chg</a> <span class="p2">(<span class="default"><a href="scmring1.html#K5">SCM-Chg</a> <font color="Maroon">S</font>,<span class="p3">(<span class="default"><font color="Maroon">c</font> <a href="scmring1.html#K7">address_1</a> </span>)</span>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">S</font> <a href="scmring1.html#K6">.</a> <span class="p5">(<span class="default"><font color="Maroon">c</font> <a href="scmring1.html#K7">address_1</a> </span>)</span></span>)</span> <a href="group_1.html#K1">*</a> <span class="p4">(<span class="default"><font color="Maroon">S</font> <a href="scmring1.html#K6">.</a> <span class="p5">(<span class="default"><font color="Maroon">c</font> <a href="scmring1.html#K8">address_2</a> </span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="ami_2.html#K15">Next</a> <span class="p3">(<span class="default"><a href="scmring1.html#K3">IC</a> <font color="Maroon">S</font></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">l'</font>
<b>by </b><i>, <a class="ref" href="scmring1.html#D14">SCMRING1:def 14</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="scmring1.html#K5">SCM-Chg</a> <font color="Maroon">S</font>,<span class="p2">(<span class="default"><font color="Maroon">c</font> <a href="scmring1.html#K7">address_1</a> </span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">S</font> <a href="scmring1.html#K6">.</a> <span class="p4">(<span class="default"><font color="Maroon">c</font> <a href="scmring1.html#K7">address_1</a> </span>)</span></span>)</span> <a href="group_1.html#K1">*</a> <span class="p3">(<span class="default"><font color="Maroon">S</font> <a href="scmring1.html#K6">.</a> <span class="p4">(<span class="default"><font color="Maroon">c</font> <a href="scmring1.html#K8">address_2</a> </span>)</span></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">l'</font>
<b>by </b><i><a class="ref" href="scmring1.html#T12">SCMRING1:12</a></i>
<br/>.= 
<font color="Maroon">S</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">l'</font>
<b>by </b><i><a class="ref" href="scmring1.html#T16">SCMRING1:16</a></i>
;<br/><br/></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div><b>hence </b><a NAME="E5:43_1_1_4_2_1_4"/>
<span class="p1">(<span class="default"><a href="scmring1.html#K15">SCM-Exec-Res</a> <font color="Maroon">c</font>,<font color="Maroon">S</font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">l'</font> <a href="hidden.html#R1">=</a> <font color="Maroon">S</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">l'</font>
 ;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="43_1_1_4_2_1_5"><b>case </b></a><a NAME="E1:43_1_1_4_2_1_5"/>
<font color="Maroon">c</font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <span class="p2"><a href="tarski.html#K4">[</a><span class="default">5,<span class="p3"><a href="scmring1.html#K12">&lt;*</a><span class="default"><font color="Olive">a</font>,<font color="Olive">r</font></span><a href="scmring1.html#K12">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> where <font color="Olive">a</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a> , <font color="Olive">r</font> is   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">R</font> : verum </span>}</span> 
 ;<br/><div class="add"><b>then consider </b><font color="Maroon">a</font> being    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a> , <font color="Maroon">r</font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">R</font><b> such that </b><br/><a NAME="E3:43_1_1_4_2_1_5"/><i><font color="Green">E95</font></i>: 
<font color="Maroon">c</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default">5,<span class="p2"><a href="scmring1.html#K12">&lt;*</a><span class="default"><font color="Maroon">a</font>,<font color="Maroon">r</font></span><a href="scmring1.html#K12">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span>
 <b>and </b><br/><a NAME="E4:43_1_1_4_2_1_5"/>
verum
 ;<br/><b>thus </b><span class="p1">(<span class="default"><a href="scmring1.html#K15">SCM-Exec-Res</a> <font color="Maroon">c</font>,<font color="Maroon">S</font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">l'</font> = 
<span class="p1">(<span class="default"><a href="scmring1.html#K4">SCM-Chg</a> <span class="p2">(<span class="default"><a href="scmring1.html#K5">SCM-Chg</a> <font color="Maroon">S</font>,<span class="p3">(<span class="default"><font color="Maroon">c</font> <a href="scmring1.html#K13">const_address</a> </span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">c</font> <a href="scmring1.html#K14">const_value</a> </span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="ami_2.html#K15">Next</a> <span class="p3">(<span class="default"><a href="scmring1.html#K3">IC</a> <font color="Maroon">S</font></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">l'</font>
<b>by </b><i>, <a class="ref" href="scmring1.html#D14">SCMRING1:def 14</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="scmring1.html#K5">SCM-Chg</a> <font color="Maroon">S</font>,<span class="p2">(<span class="default"><font color="Maroon">c</font> <a href="scmring1.html#K13">const_address</a> </span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">c</font> <a href="scmring1.html#K14">const_value</a> </span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">l'</font>
<b>by </b><i><a class="ref" href="scmring1.html#T12">SCMRING1:12</a></i>
<br/>.= 
<font color="Maroon">S</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">l'</font>
<b>by </b><i><a class="ref" href="scmring1.html#T16">SCMRING1:16</a></i>
;<br/></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div>
<b>hence </b><a NAME="E10:43_1_1_4"/>
<font color="Maroon">s</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">l</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">j</font>,<font color="Maroon">s</font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">l</font>
 <b>by </b><i><a class="ref" href="scmring2.html#D2" target="_self">Def2</a></i>;<br/>


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

<a NAME="E5:43_1_1"/>
( the <a href="ami_1.html#U2">Instruction-Locations</a> of <span class="p1">(<span class="default"><a href="scmring2.html#K1" target="_self">SCM</a> <font color="Maroon">R</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="ami_2.html#K3">SCM-Instr-Loc</a>  &amp; the <a href="ami_1.html#U4">Instructions</a> of <span class="p1">(<span class="default"><a href="scmring2.html#K1" target="_self">SCM</a> <font color="Maroon">R</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmring1.html#K1">SCM-Instr</a> <font color="Maroon">R</font> )
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E6:43_1_1"/>
the <a href="ami_1.html#U4">Instructions</a> of <span class="p1">(<span class="default"><a href="scmring2.html#K1" target="_self">SCM</a> <font color="Maroon">R</font></span>)</span> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <span class="p1">(<span class="default"><a href="scmring2.html#K1" target="_self">SCM</a> <font color="Maroon">R</font></span>)</span>
 <b>by </b><i><a class="ref" href="scmring1.html#T1">SCMRING1:1</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="ami_1.html#D21">AMI_1:def 21</a><br/>


</div>
