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

<b>let </b><font color="Maroon" title="c1">j</font>, <font color="Maroon" title="c2">k</font> be  <a href="ordinal1.html#V7" title="ORDINAL1:attr.7">natural</a>  <a href="ordinal1.html#NM1" title="ORDINAL1:NM.1">number</a> ;<br/><b>let </b><font color="Maroon" title="c3">R</font> be  <a href="scmring1.html#V1" title="SCMRING1:attr.1">good</a> <a href="funcsdom.html#NM1" title="FUNCSDOM:NM.1">Ring</a>;<br/><b>let </b><font color="Maroon" title="c4">I</font> be   <a href="ami_1.html#NM3" title="AMI_1:NM.3">Instruction</a> of <span class="p1">(<span class="default"><a href="scmring2.html#K1" title="SCMRING2:func.1">SCM</a> <font color="Maroon" title="c3">R</font></span>)</span>;<br/><b>let </b><font color="Maroon" title="c5">s</font> be   <a href="ami_1.html#NM4" title="AMI_1:NM.4">State</a> of <span class="p1">(<span class="default"><a href="scmring2.html#K1" title="SCMRING2:func.1">SCM</a> <font color="Maroon" title="c3">R</font></span>)</span>;<br/>









<b>assume </b><a NAME="E1:44"/><i><font color="Green" title="E32">A1</font></i>: 
 <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="amistd_1.html#K5" title="AMISTD_1:func.5">il.</a> <span class="p1">(<span class="default"><a href="scmring2.html#K1" title="SCMRING2:func.1">SCM</a> <font color="Maroon" title="c3">R</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c1">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c2">k</font></span>)</span>
 ;<br/>

<b>then </b><i><font color="Green" title="E33">A2</font></i>:  <a href="scmring2.html#K11" title="SCMRING2:func.11">Next</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span> = 
 <a href="scmring2.html#K11" title="SCMRING2:func.11">Next</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="amistd_1.html#K5" title="AMISTD_1:func.5">il.</a> <span class="p4">(<span class="default"><a href="scmring2.html#K1" title="SCMRING2:func.1">SCM</a> <font color="Maroon" title="c3">R</font></span>)</span>,<font color="Maroon" title="c1">j</font></span>)</span> <a href="amistd_1.html#K8" title="AMISTD_1:func.8">+</a> <font color="Maroon" title="c2">k</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span>
<b>by </b><i><a class="ref" href="scmring4.html#T2" target="_self" title="SCMRING4:th.2">Th2</a></i>
<br/>.= 
 <a href="scmring2.html#K11" title="SCMRING2:func.11">Next</a> <span class="p1">(<span class="default"><a href="amistd_1.html#K5" title="AMISTD_1:func.5">il.</a> <span class="p2">(<span class="default"><a href="scmring2.html#K1" title="SCMRING2:func.1">SCM</a> <font color="Maroon" title="c3">R</font></span>)</span>,<font color="Maroon" title="c1">j</font></span>)</span>
<b>by </b><i><a class="ref" href="scmring4.html#T5" target="_self" title="SCMRING4:th.5">Th5</a></i>
<br/>.= 
 <a href="amistd_1.html#K5" title="AMISTD_1:func.5">il.</a> <span class="p1">(<span class="default"><a href="scmring2.html#K1" title="SCMRING2:func.1">SCM</a> <font color="Maroon" title="c3">R</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c1">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1</span>)</span>
<b>by </b><i><a class="ref" href="scmring3.html#T67" title="SCMRING3:th.67">SCMRING3:67</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="amistd_1.html#K5" title="AMISTD_1:func.5">il.</a> <span class="p3">(<span class="default"><a href="scmring2.html#K1" title="SCMRING2:func.1">SCM</a> <font color="Maroon" title="c3">R</font></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon" title="c1">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1</span>)</span></span>)</span> <a href="amistd_1.html#K8" title="AMISTD_1:func.8">+</a> <font color="Maroon" title="c2">k</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font>
<b>by </b><i><a class="ref" href="scmring4.html#T5" target="_self" title="SCMRING4:th.5">Th5</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="amistd_1.html#K5" title="AMISTD_1:func.5">il.</a> <span class="p2">(<span class="default"><a href="scmring2.html#K1" title="SCMRING2:func.1">SCM</a> <font color="Maroon" title="c3">R</font></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c1">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1</span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font>
<b>by </b><i><a class="ref" href="scmring4.html#T2" target="_self" title="SCMRING4:th.2">Th2</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="amistd_1.html#K5" title="AMISTD_1:func.5">il.</a> <span class="p2">(<span class="default"><a href="scmring2.html#K1" title="SCMRING2:func.1">SCM</a> <font color="Maroon" title="c3">R</font></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c1">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c2">k</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1</span>)</span></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font>

<br/>.= 
<span class="p1">(<span class="default"><a href="scmring2.html#K11" title="SCMRING2:func.11">Next</a> <span class="p2">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font>
<b>by </b><i><a class="txt" href="scmring4.html#E1:44"><i><font color="Green" title="E32">A1</font></i></a>, <a class="ref" href="scmring3.html#T67" title="SCMRING3:th.67">SCMRING3:67</a></i>
;<br/>
<div><i><font color="Green" title="E34">A3</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="44_2"><b>now </b></a><div class="add"><b>let </b><font color="Maroon" title="c6">d</font> be   <a href="ami_1.html#NM2" title="AMI_1:NM.2">Instruction-Location</a> of <span class="p1">(<span class="default"><a href="scmring2.html#K1" title="SCMRING2:func.1">SCM</a> <font color="Maroon" title="c3">R</font></span>)</span>;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c4">I</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K13" title="AMI_1:func.13">.</a> <font color="Maroon" title="c6">d</font> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K13" title="AMI_1:func.13">.</a> <font color="Maroon" title="c6">d</font>
<b>by </b><i><a class="ref" href="ami_1.html#D13" title="AMI_1:def.13">AMI_1:def 13</a></i>
<br/>.= 
<font color="Maroon" title="c5">s</font> <a href="ami_1.html#K13" title="AMI_1:func.13">.</a> <font color="Maroon" title="c6">d</font>
<b>by </b><i><a class="ref" href="ami_5.html#T81" title="AMI_5:th.81">AMI_5:81</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="ami_1.html#K13" title="AMI_1:func.13">.</a> <font color="Maroon" title="c6">d</font>
<b>by </b><i><a class="ref" href="ami_1.html#D13" title="AMI_1:def.13">AMI_1:def 13</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p3">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p0">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K13" title="AMI_1:func.13">.</a> <font color="Maroon" title="c6">d</font>
<b>by </b><i><a class="ref" href="ami_5.html#T81" title="AMI_5:th.81">AMI_5:81</a></i>
;<br/></div><b>end;</b></div>
<a NAME="E4:44"/><i><font color="Green" title="E35">A4</font></i>: 
 <a href="ami_5.html#K1" title="AMI_5:func.1">InsCode</a> <font color="Maroon" title="c4">I</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> 7
 
<b>by </b><i><a class="ref" href="scmring4.html#T30" target="_self" title="SCMRING4:th.30">Th30</a></i>;<br/>
<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="44_3"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:44_3"/>
(  <a href="ami_5.html#K1" title="AMI_5:func.1">InsCode</a> <font color="Maroon" title="c4">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 0 or  <a href="ami_5.html#K1" title="AMI_5:func.1">InsCode</a> <font color="Maroon" title="c4">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 or  <a href="ami_5.html#K1" title="AMI_5:func.1">InsCode</a> <font color="Maroon" title="c4">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2 or  <a href="ami_5.html#K1" title="AMI_5:func.1">InsCode</a> <font color="Maroon" title="c4">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 3 or  <a href="ami_5.html#K1" title="AMI_5:func.1">InsCode</a> <font color="Maroon" title="c4">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 4 or  <a href="ami_5.html#K1" title="AMI_5:func.1">InsCode</a> <font color="Maroon" title="c4">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 5 or  <a href="ami_5.html#K1" title="AMI_5:func.1">InsCode</a> <font color="Maroon" title="c4">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 6 or  <a href="ami_5.html#K1" title="AMI_5:func.1">InsCode</a> <font color="Maroon" title="c4">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 7 )
 </span><b>by </b><i><a class="txt" href="scmring4.html#E4:44"><i><font color="Green" title="E35">A4</font></i></a>, <a class="ref" href="nat_1.html#T32" title="NAT_1:th.32">NAT_1:32</a></i>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="44_3_1"><b>suppose </b></a><a NAME="E1:44_3_1"/>
 <a href="ami_5.html#K1" title="AMI_5:func.1">InsCode</a> <font color="Maroon" title="c4">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 0
 ;<br/><div class="add"><a NAME="E2:44_3_1"/><b>then </b><i><font color="Green" title="E36">A5</font></i>: 
<font color="Maroon" title="c4">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K5" title="AMI_1:func.5">halt</a> <span class="p1">(<span class="default"><a href="scmring2.html#K1" title="SCMRING2:func.1">SCM</a> <font color="Maroon" title="c3">R</font></span>)</span>
 <b>by </b><i><a class="ref" href="scmring3.html#T16" title="SCMRING3:th.16">SCMRING3:16</a></i>;<br/><a NAME="E3:44_3_1"/><i><font color="Green" title="E37">A6</font></i>: 
 <a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <span class="p1">(<span class="default"><a href="ami_1.html#K5" title="AMI_1:func.5">halt</a> <span class="p2">(<span class="default"><a href="scmring2.html#K1" title="SCMRING2:func.1">SCM</a> <font color="Maroon" title="c3">R</font></span>)</span></span>)</span>,<font color="Maroon" title="c2">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K5" title="AMI_1:func.5">halt</a> <span class="p1">(<span class="default"><a href="scmring2.html#K1" title="SCMRING2:func.1">SCM</a> <font color="Maroon" title="c3">R</font></span>)</span>
 <b>by </b><i><a class="ref" href="amistd_2.html#T29" title="AMISTD_2:th.29">AMISTD_2:29</a></i>;<br/><b>thus </b> <a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c4">I</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span> = 
<font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p1">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="scmring4.html#E2:44_3_1"><i><font color="Green" title="E36">A5</font></i></a>, <a class="ref" href="ami_1.html#D8" title="AMI_1:def.8">AMI_1:def 8</a></i>
<br/>.= 
<font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p1">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p4">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p5">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="scmring4.html#E2:44_3_1"><i><font color="Green" title="E36">A5</font></i></a>, <a class="txt" href="scmring4.html#E3:44_3_1"><i><font color="Green" title="E37">A6</font></i></a>, <a class="ref" href="ami_1.html#D8" title="AMI_1:def.8">AMI_1:def 8</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p1">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p4">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p5">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="scmring4.html#E2:44_3_1"><i><font color="Green" title="E36">A5</font></i></a>, <a class="txt" href="scmring4.html#E3:44_3_1"><i><font color="Green" title="E37">A6</font></i></a>, <a class="ref" href="ami_1.html#D8" title="AMI_1:def.8">AMI_1:def 8</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="44_3_2"><b>suppose </b></a><a NAME="E1:44_3_2"/>
 <a href="ami_5.html#K1" title="AMI_5:func.1">InsCode</a> <font color="Maroon" title="c4">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c6">da</font>, <font color="Maroon" title="c7">db</font> being    <a href="scmring2.html#M1" title="SCMRING2:mode.1">Data-Location</a> of <font color="Maroon" title="c3">R</font><b> such that </b><br/><a NAME="E3:44_3_2"/><i><font color="Green" title="E36">A7</font></i>: 
<font color="Maroon" title="c4">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">da</font> <a href="scmring2.html#K4" title="SCMRING2:func.4">:=</a> <font color="Maroon" title="c7">db</font>
 <b>by </b><i><a class="ref" href="scmring3.html#T17" title="SCMRING3:th.17">SCMRING3:17</a></i>;<br/><a NAME="E4:44_3_2"/><i><font color="Green" title="E37">A8</font></i>: 
 <a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">da</font> <a href="scmring2.html#K4" title="SCMRING2:func.4">:=</a> <font color="Maroon" title="c7">db</font>
 <b>by </b><i><a class="txt" href="scmring4.html#E3:44_3_2"><i><font color="Green" title="E36">A7</font></i></a>, <a class="ref" href="amistd_2.html#T29" title="AMISTD_2:th.29">AMISTD_2:29</a></i>;<br/><a NAME="E5:44_3_2"/><b>then </b><i><font color="Green" title="E38">A9</font></i>: 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <span class="p2">(<span class="default"><a href="scmring2.html#K1" title="SCMRING2:func.1">SCM</a> <font color="Maroon" title="c3">R</font></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmring2.html#K11" title="SCMRING2:func.11">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span>
 <b>by </b><i><a class="ref" href="scmring2.html#T13" title="SCMRING2:th.13">SCMRING2:13</a></i>;<br/><i><font color="Green" title="E39">A10</font></i>:  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c4">I</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span></span>)</span> = 
 <a href="scmring2.html#K11" title="SCMRING2:func.11">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p2">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="scmring4.html#E3:44_3_2"><i><font color="Green" title="E36">A7</font></i></a>, <a class="ref" href="scmring2.html#T13" title="SCMRING2:th.13">SCMRING2:13</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p3">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font>
<b>by </b><i><a class="txt" href="scmring4.html#E2:44"><i><font color="Green" title="E33">A2</font></i></a>, <a class="ref" href="ami_5.html#T79" title="AMI_5:th.79">AMI_5:79</a>, <a class="txt" href="scmring4.html#E5:44_3_2"><i><font color="Green" title="E38">A9</font></i></a></i>
<br/>.= 
 <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p3">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p0">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="ami_5.html#T79" title="AMI_5:th.79">AMI_5:79</a></i>
;<br/><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="44_3_2_2"><b>now </b></a><div class="add"><b>let </b><font color="Maroon" title="c8">d</font> be    <a href="scmring2.html#M1" title="SCMRING2:mode.1">Data-Location</a> of <font color="Maroon" title="c3">R</font>;<br/><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="44_3_2_2_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:44_3_2_2_1"/>
( <font color="Maroon" title="c6">da</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">d</font> or <font color="Maroon" title="c6">da</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c8">d</font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="44_3_2_2_1_1"><b>suppose </b></a><a NAME="E1:44_3_2_2_1_1"/><i><font color="Green" title="E40">A11</font></i>: 
<font color="Maroon" title="c6">da</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">d</font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c4">I</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c8">d</font> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c7">db</font>
<b>by </b><i><a class="txt" href="scmring4.html#E3:44_3_2"><i><font color="Green" title="E36">A7</font></i></a>, <a class="ref" href="scmring2.html#T13" title="SCMRING2:th.13">SCMRING2:13</a></i>
<br/>.= 
<font color="Maroon" title="c5">s</font> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c7">db</font>
<b>by </b><i><a class="ref" href="scmring4.html#T33" target="_self" title="SCMRING4:th.33">Th33</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c8">d</font>
<b>by </b><i><a class="txt" href="scmring4.html#E4:44_3_2"><i><font color="Green" title="E37">A8</font></i></a>, <a class="txt" href="scmring4.html#E1:44_3_2_2_1_1"><i><font color="Green" title="E40">A11</font></i></a>, <a class="ref" href="scmring2.html#T13" title="SCMRING2:th.13">SCMRING2:13</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p3">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p0">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c8">d</font>
<b>by </b><i><a class="ref" href="scmring4.html#T33" target="_self" title="SCMRING4:th.33">Th33</a></i>
;<br/><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="44_3_2_2_1_2"><b>suppose </b></a><a NAME="E1:44_3_2_2_1_2"/><i><font color="Green" title="E40">A12</font></i>: 
<font color="Maroon" title="c6">da</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c8">d</font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c4">I</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c8">d</font> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c8">d</font>
<b>by </b><i><a class="txt" href="scmring4.html#E3:44_3_2"><i><font color="Green" title="E36">A7</font></i></a>, <a class="ref" href="scmring2.html#T13" title="SCMRING2:th.13">SCMRING2:13</a></i>
<br/>.= 
<font color="Maroon" title="c5">s</font> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c8">d</font>
<b>by </b><i><a class="ref" href="scmring4.html#T33" target="_self" title="SCMRING4:th.33">Th33</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c8">d</font>
<b>by </b><i><a class="txt" href="scmring4.html#E4:44_3_2"><i><font color="Green" title="E37">A8</font></i></a>, <a class="txt" href="scmring4.html#E1:44_3_2_2_1_2"><i><font color="Green" title="E40">A12</font></i></a>, <a class="ref" href="scmring2.html#T13" title="SCMRING2:th.13">SCMRING2:13</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p3">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p0">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c8">d</font>
<b>by </b><i><a class="ref" href="scmring4.html#T33" target="_self" title="SCMRING4:th.33">Th33</a></i>
;<br/><br/></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div><b>hence </b><a NAME="E8:44_3_2"/>
 <a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c4">I</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p1">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p4">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p5">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span>
 <b>by </b><i><a class="txt" href="scmring4.html#E3:44"><i><font color="Green" title="E34">A3</font></i></a>, <a class="txt" href="scmring4.html#E6:44_3_2"><i><font color="Green" title="E39">A10</font></i></a>, <a class="ref" href="scmring4.html#T34" target="_self" title="SCMRING4:th.34">Th34</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="44_3_3"><b>suppose </b></a><a NAME="E1:44_3_3"/>
 <a href="ami_5.html#K1" title="AMI_5:func.1">InsCode</a> <font color="Maroon" title="c4">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c6">da</font>, <font color="Maroon" title="c7">db</font> being    <a href="scmring2.html#M1" title="SCMRING2:mode.1">Data-Location</a> of <font color="Maroon" title="c3">R</font><b> such that </b><br/><a NAME="E3:44_3_3"/><i><font color="Green" title="E36">A13</font></i>: 
<font color="Maroon" title="c4">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmring2.html#K5" title="SCMRING2:func.5">AddTo</a> <font color="Maroon" title="c6">da</font>,<font color="Maroon" title="c7">db</font>
 <b>by </b><i><a class="ref" href="scmring3.html#T18" title="SCMRING3:th.18">SCMRING3:18</a></i>;<br/><a NAME="E4:44_3_3"/><i><font color="Green" title="E37">A14</font></i>: 
 <a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmring2.html#K5" title="SCMRING2:func.5">AddTo</a> <font color="Maroon" title="c6">da</font>,<font color="Maroon" title="c7">db</font>
 <b>by </b><i><a class="txt" href="scmring4.html#E3:44_3_3"><i><font color="Green" title="E36">A13</font></i></a>, <a class="ref" href="amistd_2.html#T29" title="AMISTD_2:th.29">AMISTD_2:29</a></i>;<br/><a NAME="E5:44_3_3"/><b>then </b><i><font color="Green" title="E38">A15</font></i>: 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <span class="p2">(<span class="default"><a href="scmring2.html#K1" title="SCMRING2:func.1">SCM</a> <font color="Maroon" title="c3">R</font></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmring2.html#K11" title="SCMRING2:func.11">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span>
 <b>by </b><i><a class="ref" href="scmring2.html#T14" title="SCMRING2:th.14">SCMRING2:14</a></i>;<br/><i><font color="Green" title="E39">A16</font></i>:  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c4">I</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span></span>)</span> = 
 <a href="scmring2.html#K11" title="SCMRING2:func.11">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p2">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="scmring4.html#E3:44_3_3"><i><font color="Green" title="E36">A13</font></i></a>, <a class="ref" href="scmring2.html#T14" title="SCMRING2:th.14">SCMRING2:14</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p3">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font>
<b>by </b><i><a class="txt" href="scmring4.html#E2:44"><i><font color="Green" title="E33">A2</font></i></a>, <a class="ref" href="ami_5.html#T79" title="AMI_5:th.79">AMI_5:79</a>, <a class="txt" href="scmring4.html#E5:44_3_3"><i><font color="Green" title="E38">A15</font></i></a></i>
<br/>.= 
 <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p3">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p0">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="ami_5.html#T79" title="AMI_5:th.79">AMI_5:79</a></i>
;<br/><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="44_3_3_2"><b>now </b></a><div class="add"><b>let </b><font color="Maroon" title="c8">d</font> be    <a href="scmring2.html#M1" title="SCMRING2:mode.1">Data-Location</a> of <font color="Maroon" title="c3">R</font>;<br/><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="44_3_3_2_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:44_3_3_2_1"/>
( <font color="Maroon" title="c6">da</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">d</font> or <font color="Maroon" title="c6">da</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c8">d</font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="44_3_3_2_1_1"><b>suppose </b></a><a NAME="E1:44_3_3_2_1_1"/><i><font color="Green" title="E40">A17</font></i>: 
<font color="Maroon" title="c6">da</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">d</font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c4">I</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c8">d</font> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c6">da</font></span>)</span> <a href="rlvect_1.html#K4" title="RLVECT_1:func.4">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c7">db</font></span>)</span>
<b>by </b><i><a class="txt" href="scmring4.html#E3:44_3_3"><i><font color="Green" title="E36">A13</font></i></a>, <a class="ref" href="scmring2.html#T14" title="SCMRING2:th.14">SCMRING2:14</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c6">da</font></span>)</span> <a href="rlvect_1.html#K4" title="RLVECT_1:func.4">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c7">db</font></span>)</span>
<b>by </b><i><a class="ref" href="scmring4.html#T33" target="_self" title="SCMRING4:th.33">Th33</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c6">da</font></span>)</span> <a href="rlvect_1.html#K4" title="RLVECT_1:func.4">+</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c7">db</font></span>)</span>
<b>by </b><i><a class="ref" href="scmring4.html#T33" target="_self" title="SCMRING4:th.33">Th33</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c8">d</font>
<b>by </b><i><a class="txt" href="scmring4.html#E4:44_3_3"><i><font color="Green" title="E37">A14</font></i></a>, <a class="txt" href="scmring4.html#E1:44_3_3_2_1_1"><i><font color="Green" title="E40">A17</font></i></a>, <a class="ref" href="scmring2.html#T14" title="SCMRING2:th.14">SCMRING2:14</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p3">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p0">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c8">d</font>
<b>by </b><i><a class="ref" href="scmring4.html#T33" target="_self" title="SCMRING4:th.33">Th33</a></i>
;<br/><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="44_3_3_2_1_2"><b>suppose </b></a><a NAME="E1:44_3_3_2_1_2"/><i><font color="Green" title="E40">A18</font></i>: 
<font color="Maroon" title="c6">da</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c8">d</font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c4">I</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c8">d</font> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c8">d</font>
<b>by </b><i><a class="txt" href="scmring4.html#E3:44_3_3"><i><font color="Green" title="E36">A13</font></i></a>, <a class="ref" href="scmring2.html#T14" title="SCMRING2:th.14">SCMRING2:14</a></i>
<br/>.= 
<font color="Maroon" title="c5">s</font> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c8">d</font>
<b>by </b><i><a class="ref" href="scmring4.html#T33" target="_self" title="SCMRING4:th.33">Th33</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c8">d</font>
<b>by </b><i><a class="txt" href="scmring4.html#E4:44_3_3"><i><font color="Green" title="E37">A14</font></i></a>, <a class="txt" href="scmring4.html#E1:44_3_3_2_1_2"><i><font color="Green" title="E40">A18</font></i></a>, <a class="ref" href="scmring2.html#T14" title="SCMRING2:th.14">SCMRING2:14</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p3">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p0">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c8">d</font>
<b>by </b><i><a class="ref" href="scmring4.html#T33" target="_self" title="SCMRING4:th.33">Th33</a></i>
;<br/><br/></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div><b>hence </b><a NAME="E8:44_3_3"/>
 <a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c4">I</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p1">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p4">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p5">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span>
 <b>by </b><i><a class="txt" href="scmring4.html#E3:44"><i><font color="Green" title="E34">A3</font></i></a>, <a class="txt" href="scmring4.html#E6:44_3_3"><i><font color="Green" title="E39">A16</font></i></a>, <a class="ref" href="scmring4.html#T34" target="_self" title="SCMRING4:th.34">Th34</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="44_3_4"><b>suppose </b></a><a NAME="E1:44_3_4"/>
 <a href="ami_5.html#K1" title="AMI_5:func.1">InsCode</a> <font color="Maroon" title="c4">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 3
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c6">da</font>, <font color="Maroon" title="c7">db</font> being    <a href="scmring2.html#M1" title="SCMRING2:mode.1">Data-Location</a> of <font color="Maroon" title="c3">R</font><b> such that </b><br/><a NAME="E3:44_3_4"/><i><font color="Green" title="E36">A19</font></i>: 
<font color="Maroon" title="c4">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmring2.html#K6" title="SCMRING2:func.6">SubFrom</a> <font color="Maroon" title="c6">da</font>,<font color="Maroon" title="c7">db</font>
 <b>by </b><i><a class="ref" href="scmring3.html#T19" title="SCMRING3:th.19">SCMRING3:19</a></i>;<br/><a NAME="E4:44_3_4"/><i><font color="Green" title="E37">A20</font></i>: 
 <a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmring2.html#K6" title="SCMRING2:func.6">SubFrom</a> <font color="Maroon" title="c6">da</font>,<font color="Maroon" title="c7">db</font>
 <b>by </b><i><a class="txt" href="scmring4.html#E3:44_3_4"><i><font color="Green" title="E36">A19</font></i></a>, <a class="ref" href="amistd_2.html#T29" title="AMISTD_2:th.29">AMISTD_2:29</a></i>;<br/><a NAME="E5:44_3_4"/><b>then </b><i><font color="Green" title="E38">A21</font></i>: 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <span class="p2">(<span class="default"><a href="scmring2.html#K1" title="SCMRING2:func.1">SCM</a> <font color="Maroon" title="c3">R</font></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmring2.html#K11" title="SCMRING2:func.11">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span>
 <b>by </b><i><a class="ref" href="scmring2.html#T15" title="SCMRING2:th.15">SCMRING2:15</a></i>;<br/><i><font color="Green" title="E39">A22</font></i>:  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c4">I</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span></span>)</span> = 
 <a href="scmring2.html#K11" title="SCMRING2:func.11">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p2">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="scmring4.html#E3:44_3_4"><i><font color="Green" title="E36">A19</font></i></a>, <a class="ref" href="scmring2.html#T15" title="SCMRING2:th.15">SCMRING2:15</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p3">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font>
<b>by </b><i><a class="txt" href="scmring4.html#E2:44"><i><font color="Green" title="E33">A2</font></i></a>, <a class="ref" href="ami_5.html#T79" title="AMI_5:th.79">AMI_5:79</a>, <a class="txt" href="scmring4.html#E5:44_3_4"><i><font color="Green" title="E38">A21</font></i></a></i>
<br/>.= 
 <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p3">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p0">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="ami_5.html#T79" title="AMI_5:th.79">AMI_5:79</a></i>
;<br/><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="44_3_4_2"><b>now </b></a><div class="add"><b>let </b><font color="Maroon" title="c8">d</font> be    <a href="scmring2.html#M1" title="SCMRING2:mode.1">Data-Location</a> of <font color="Maroon" title="c3">R</font>;<br/><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="44_3_4_2_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:44_3_4_2_1"/>
( <font color="Maroon" title="c6">da</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">d</font> or <font color="Maroon" title="c6">da</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c8">d</font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="44_3_4_2_1_1"><b>suppose </b></a><a NAME="E1:44_3_4_2_1_1"/><i><font color="Green" title="E40">A23</font></i>: 
<font color="Maroon" title="c6">da</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">d</font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c4">I</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c8">d</font> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c6">da</font></span>)</span> <a href="rlvect_1.html#K6" title="RLVECT_1:func.6">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c7">db</font></span>)</span>
<b>by </b><i><a class="txt" href="scmring4.html#E3:44_3_4"><i><font color="Green" title="E36">A19</font></i></a>, <a class="ref" href="scmring2.html#T15" title="SCMRING2:th.15">SCMRING2:15</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c6">da</font></span>)</span> <a href="rlvect_1.html#K6" title="RLVECT_1:func.6">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c7">db</font></span>)</span>
<b>by </b><i><a class="ref" href="scmring4.html#T33" target="_self" title="SCMRING4:th.33">Th33</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c6">da</font></span>)</span> <a href="rlvect_1.html#K6" title="RLVECT_1:func.6">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c7">db</font></span>)</span>
<b>by </b><i><a class="ref" href="scmring4.html#T33" target="_self" title="SCMRING4:th.33">Th33</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c8">d</font>
<b>by </b><i><a class="txt" href="scmring4.html#E4:44_3_4"><i><font color="Green" title="E37">A20</font></i></a>, <a class="txt" href="scmring4.html#E1:44_3_4_2_1_1"><i><font color="Green" title="E40">A23</font></i></a>, <a class="ref" href="scmring2.html#T15" title="SCMRING2:th.15">SCMRING2:15</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p3">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p0">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c8">d</font>
<b>by </b><i><a class="ref" href="scmring4.html#T33" target="_self" title="SCMRING4:th.33">Th33</a></i>
;<br/><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="44_3_4_2_1_2"><b>suppose </b></a><a NAME="E1:44_3_4_2_1_2"/><i><font color="Green" title="E40">A24</font></i>: 
<font color="Maroon" title="c6">da</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c8">d</font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c4">I</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c8">d</font> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c8">d</font>
<b>by </b><i><a class="txt" href="scmring4.html#E3:44_3_4"><i><font color="Green" title="E36">A19</font></i></a>, <a class="ref" href="scmring2.html#T15" title="SCMRING2:th.15">SCMRING2:15</a></i>
<br/>.= 
<font color="Maroon" title="c5">s</font> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c8">d</font>
<b>by </b><i><a class="ref" href="scmring4.html#T33" target="_self" title="SCMRING4:th.33">Th33</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c8">d</font>
<b>by </b><i><a class="txt" href="scmring4.html#E4:44_3_4"><i><font color="Green" title="E37">A20</font></i></a>, <a class="txt" href="scmring4.html#E1:44_3_4_2_1_2"><i><font color="Green" title="E40">A24</font></i></a>, <a class="ref" href="scmring2.html#T15" title="SCMRING2:th.15">SCMRING2:15</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p3">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p0">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c8">d</font>
<b>by </b><i><a class="ref" href="scmring4.html#T33" target="_self" title="SCMRING4:th.33">Th33</a></i>
;<br/><br/></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div><b>hence </b><a NAME="E8:44_3_4"/>
 <a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c4">I</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p1">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p4">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p5">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span>
 <b>by </b><i><a class="txt" href="scmring4.html#E3:44"><i><font color="Green" title="E34">A3</font></i></a>, <a class="txt" href="scmring4.html#E6:44_3_4"><i><font color="Green" title="E39">A22</font></i></a>, <a class="ref" href="scmring4.html#T34" target="_self" title="SCMRING4:th.34">Th34</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="44_3_5"><b>suppose </b></a><a NAME="E1:44_3_5"/>
 <a href="ami_5.html#K1" title="AMI_5:func.1">InsCode</a> <font color="Maroon" title="c4">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 4
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c6">da</font>, <font color="Maroon" title="c7">db</font> being    <a href="scmring2.html#M1" title="SCMRING2:mode.1">Data-Location</a> of <font color="Maroon" title="c3">R</font><b> such that </b><br/><a NAME="E3:44_3_5"/><i><font color="Green" title="E36">A25</font></i>: 
<font color="Maroon" title="c4">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmring2.html#K7" title="SCMRING2:func.7">MultBy</a> <font color="Maroon" title="c6">da</font>,<font color="Maroon" title="c7">db</font>
 <b>by </b><i><a class="ref" href="scmring3.html#T20" title="SCMRING3:th.20">SCMRING3:20</a></i>;<br/><a NAME="E4:44_3_5"/><i><font color="Green" title="E37">A26</font></i>: 
 <a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmring2.html#K7" title="SCMRING2:func.7">MultBy</a> <font color="Maroon" title="c6">da</font>,<font color="Maroon" title="c7">db</font>
 <b>by </b><i><a class="txt" href="scmring4.html#E3:44_3_5"><i><font color="Green" title="E36">A25</font></i></a>, <a class="ref" href="amistd_2.html#T29" title="AMISTD_2:th.29">AMISTD_2:29</a></i>;<br/><a NAME="E5:44_3_5"/><b>then </b><i><font color="Green" title="E38">A27</font></i>: 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <span class="p2">(<span class="default"><a href="scmring2.html#K1" title="SCMRING2:func.1">SCM</a> <font color="Maroon" title="c3">R</font></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmring2.html#K11" title="SCMRING2:func.11">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span>
 <b>by </b><i><a class="ref" href="scmring2.html#T16" title="SCMRING2:th.16">SCMRING2:16</a></i>;<br/><i><font color="Green" title="E39">A28</font></i>:  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c4">I</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span></span>)</span> = 
 <a href="scmring2.html#K11" title="SCMRING2:func.11">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p2">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="scmring4.html#E3:44_3_5"><i><font color="Green" title="E36">A25</font></i></a>, <a class="ref" href="scmring2.html#T16" title="SCMRING2:th.16">SCMRING2:16</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p3">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font>
<b>by </b><i><a class="txt" href="scmring4.html#E2:44"><i><font color="Green" title="E33">A2</font></i></a>, <a class="ref" href="ami_5.html#T79" title="AMI_5:th.79">AMI_5:79</a>, <a class="txt" href="scmring4.html#E5:44_3_5"><i><font color="Green" title="E38">A27</font></i></a></i>
<br/>.= 
 <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p3">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p0">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="ami_5.html#T79" title="AMI_5:th.79">AMI_5:79</a></i>
;<br/><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="44_3_5_2"><b>now </b></a><div class="add"><b>let </b><font color="Maroon" title="c8">d</font> be    <a href="scmring2.html#M1" title="SCMRING2:mode.1">Data-Location</a> of <font color="Maroon" title="c3">R</font>;<br/><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="44_3_5_2_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:44_3_5_2_1"/>
( <font color="Maroon" title="c6">da</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">d</font> or <font color="Maroon" title="c6">da</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c8">d</font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="44_3_5_2_1_1"><b>suppose </b></a><a NAME="E1:44_3_5_2_1_1"/><i><font color="Green" title="E40">A29</font></i>: 
<font color="Maroon" title="c6">da</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">d</font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c4">I</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c8">d</font> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c6">da</font></span>)</span> <a href="group_1.html#K1" title="GROUP_1:func.1">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c7">db</font></span>)</span>
<b>by </b><i><a class="txt" href="scmring4.html#E3:44_3_5"><i><font color="Green" title="E36">A25</font></i></a>, <a class="ref" href="scmring2.html#T16" title="SCMRING2:th.16">SCMRING2:16</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c6">da</font></span>)</span> <a href="group_1.html#K1" title="GROUP_1:func.1">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c7">db</font></span>)</span>
<b>by </b><i><a class="ref" href="scmring4.html#T33" target="_self" title="SCMRING4:th.33">Th33</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c6">da</font></span>)</span> <a href="group_1.html#K1" title="GROUP_1:func.1">*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c7">db</font></span>)</span>
<b>by </b><i><a class="ref" href="scmring4.html#T33" target="_self" title="SCMRING4:th.33">Th33</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c8">d</font>
<b>by </b><i><a class="txt" href="scmring4.html#E4:44_3_5"><i><font color="Green" title="E37">A26</font></i></a>, <a class="txt" href="scmring4.html#E1:44_3_5_2_1_1"><i><font color="Green" title="E40">A29</font></i></a>, <a class="ref" href="scmring2.html#T16" title="SCMRING2:th.16">SCMRING2:16</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p3">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p0">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c8">d</font>
<b>by </b><i><a class="ref" href="scmring4.html#T33" target="_self" title="SCMRING4:th.33">Th33</a></i>
;<br/><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="44_3_5_2_1_2"><b>suppose </b></a><a NAME="E1:44_3_5_2_1_2"/><i><font color="Green" title="E40">A30</font></i>: 
<font color="Maroon" title="c6">da</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c8">d</font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c4">I</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c8">d</font> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c8">d</font>
<b>by </b><i><a class="txt" href="scmring4.html#E3:44_3_5"><i><font color="Green" title="E36">A25</font></i></a>, <a class="ref" href="scmring2.html#T16" title="SCMRING2:th.16">SCMRING2:16</a></i>
<br/>.= 
<font color="Maroon" title="c5">s</font> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c8">d</font>
<b>by </b><i><a class="ref" href="scmring4.html#T33" target="_self" title="SCMRING4:th.33">Th33</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c8">d</font>
<b>by </b><i><a class="txt" href="scmring4.html#E4:44_3_5"><i><font color="Green" title="E37">A26</font></i></a>, <a class="txt" href="scmring4.html#E1:44_3_5_2_1_2"><i><font color="Green" title="E40">A30</font></i></a>, <a class="ref" href="scmring2.html#T16" title="SCMRING2:th.16">SCMRING2:16</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p3">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p0">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c8">d</font>
<b>by </b><i><a class="ref" href="scmring4.html#T33" target="_self" title="SCMRING4:th.33">Th33</a></i>
;<br/><br/></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div><b>hence </b><a NAME="E8:44_3_5"/>
 <a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c4">I</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p1">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p4">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p5">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span>
 <b>by </b><i><a class="txt" href="scmring4.html#E3:44"><i><font color="Green" title="E34">A3</font></i></a>, <a class="txt" href="scmring4.html#E6:44_3_5"><i><font color="Green" title="E39">A28</font></i></a>, <a class="ref" href="scmring4.html#T34" target="_self" title="SCMRING4:th.34">Th34</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="44_3_6"><b>suppose </b></a><a NAME="E1:44_3_6"/>
 <a href="ami_5.html#K1" title="AMI_5:func.1">InsCode</a> <font color="Maroon" title="c4">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 5
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c6">da</font> being    <a href="scmring2.html#M1" title="SCMRING2:mode.1">Data-Location</a> of <font color="Maroon" title="c3">R</font>, <font color="Maroon" title="c7">r</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c3">R</font><b> such that </b><br/><a NAME="E3:44_3_6"/><i><font color="Green" title="E36">A31</font></i>: 
<font color="Maroon" title="c4">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">da</font> <a href="scmring2.html#K8" title="SCMRING2:func.8">:=</a> <font color="Maroon" title="c7">r</font>
 <b>by </b><i><a class="ref" href="scmring3.html#T21" title="SCMRING3:th.21">SCMRING3:21</a></i>;<br/><a NAME="E4:44_3_6"/><i><font color="Green" title="E37">A32</font></i>: 
 <a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">da</font> <a href="scmring2.html#K8" title="SCMRING2:func.8">:=</a> <font color="Maroon" title="c7">r</font>
 <b>by </b><i><a class="txt" href="scmring4.html#E3:44_3_6"><i><font color="Green" title="E36">A31</font></i></a>, <a class="ref" href="amistd_2.html#T29" title="AMISTD_2:th.29">AMISTD_2:29</a></i>;<br/><a NAME="E5:44_3_6"/><b>then </b><i><font color="Green" title="E38">A33</font></i>: 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <span class="p2">(<span class="default"><a href="scmring2.html#K1" title="SCMRING2:func.1">SCM</a> <font color="Maroon" title="c3">R</font></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmring2.html#K11" title="SCMRING2:func.11">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span>
 <b>by </b><i><a class="ref" href="scmring2.html#T19" title="SCMRING2:th.19">SCMRING2:19</a></i>;<br/><i><font color="Green" title="E39">A34</font></i>:  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c4">I</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span></span>)</span> = 
 <a href="scmring2.html#K11" title="SCMRING2:func.11">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p2">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="scmring4.html#E3:44_3_6"><i><font color="Green" title="E36">A31</font></i></a>, <a class="ref" href="scmring2.html#T19" title="SCMRING2:th.19">SCMRING2:19</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p3">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font>
<b>by </b><i><a class="txt" href="scmring4.html#E2:44"><i><font color="Green" title="E33">A2</font></i></a>, <a class="ref" href="ami_5.html#T79" title="AMI_5:th.79">AMI_5:79</a>, <a class="txt" href="scmring4.html#E5:44_3_6"><i><font color="Green" title="E38">A33</font></i></a></i>
<br/>.= 
 <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p3">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p0">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="ami_5.html#T79" title="AMI_5:th.79">AMI_5:79</a></i>
;<br/><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="44_3_6_2"><b>now </b></a><div class="add"><b>let </b><font color="Maroon" title="c8">d</font> be    <a href="scmring2.html#M1" title="SCMRING2:mode.1">Data-Location</a> of <font color="Maroon" title="c3">R</font>;<br/><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="44_3_6_2_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:44_3_6_2_1"/>
( <font color="Maroon" title="c6">da</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">d</font> or <font color="Maroon" title="c6">da</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c8">d</font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="44_3_6_2_1_1"><b>suppose </b></a><a NAME="E1:44_3_6_2_1_1"/><i><font color="Green" title="E40">A35</font></i>: 
<font color="Maroon" title="c6">da</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">d</font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c4">I</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c8">d</font> = 
<font color="Maroon" title="c7">r</font>
<b>by </b><i><a class="txt" href="scmring4.html#E3:44_3_6"><i><font color="Green" title="E36">A31</font></i></a>, <a class="ref" href="scmring2.html#T19" title="SCMRING2:th.19">SCMRING2:19</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c8">d</font>
<b>by </b><i><a class="txt" href="scmring4.html#E4:44_3_6"><i><font color="Green" title="E37">A32</font></i></a>, <a class="txt" href="scmring4.html#E1:44_3_6_2_1_1"><i><font color="Green" title="E40">A35</font></i></a>, <a class="ref" href="scmring2.html#T19" title="SCMRING2:th.19">SCMRING2:19</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p3">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p0">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c8">d</font>
<b>by </b><i><a class="ref" href="scmring4.html#T33" target="_self" title="SCMRING4:th.33">Th33</a></i>
;<br/><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="44_3_6_2_1_2"><b>suppose </b></a><a NAME="E1:44_3_6_2_1_2"/><i><font color="Green" title="E40">A36</font></i>: 
<font color="Maroon" title="c6">da</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c8">d</font>
 ;<br/><div class="add"><b>hence </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c4">I</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c8">d</font> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c8">d</font>
<b>by </b><i><a class="txt" href="scmring4.html#E3:44_3_6"><i><font color="Green" title="E36">A31</font></i></a>, <a class="ref" href="scmring2.html#T19" title="SCMRING2:th.19">SCMRING2:19</a></i>
<br/>.= 
<font color="Maroon" title="c5">s</font> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c8">d</font>
<b>by </b><i><a class="ref" href="scmring4.html#T33" target="_self" title="SCMRING4:th.33">Th33</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c8">d</font>
<b>by </b><i><a class="txt" href="scmring4.html#E4:44_3_6"><i><font color="Green" title="E37">A32</font></i></a>, <a class="txt" href="scmring4.html#E1:44_3_6_2_1_2"><i><font color="Green" title="E40">A36</font></i></a>, <a class="ref" href="scmring2.html#T19" title="SCMRING2:th.19">SCMRING2:19</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p3">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p0">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c8">d</font>
<b>by </b><i><a class="ref" href="scmring4.html#T33" target="_self" title="SCMRING4:th.33">Th33</a></i>
;<br/><br/></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div><b>hence </b><a NAME="E8:44_3_6"/>
 <a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c4">I</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p1">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p4">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p5">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span>
 <b>by </b><i><a class="txt" href="scmring4.html#E3:44"><i><font color="Green" title="E34">A3</font></i></a>, <a class="txt" href="scmring4.html#E6:44_3_6"><i><font color="Green" title="E39">A34</font></i></a>, <a class="ref" href="scmring4.html#T34" target="_self" title="SCMRING4:th.34">Th34</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="44_3_7"><b>suppose </b></a><a NAME="E1:44_3_7"/>
 <a href="ami_5.html#K1" title="AMI_5:func.1">InsCode</a> <font color="Maroon" title="c4">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 6
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c6">loc</font> being   <a href="ami_1.html#NM2" title="AMI_1:NM.2">Instruction-Location</a> of <span class="p1">(<span class="default"><a href="scmring2.html#K1" title="SCMRING2:func.1">SCM</a> <font color="Maroon" title="c3">R</font></span>)</span><b> such that </b><br/><a NAME="E3:44_3_7"/><i><font color="Green" title="E36">A37</font></i>: 
<font color="Maroon" title="c4">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmring2.html#K9" title="SCMRING2:func.9">goto</a> <font color="Maroon" title="c6">loc</font>
 <b>by </b><i><a class="ref" href="scmring3.html#T22" title="SCMRING3:th.22">SCMRING3:22</a></i>;<br/><a NAME="E4:44_3_7"/><i><font color="Green" title="E37">A38</font></i>: 
 <a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmring2.html#K9" title="SCMRING2:func.9">goto</a> <span class="p1">(<span class="default"><font color="Maroon" title="c6">loc</font> <a href="amistd_1.html#K8" title="AMISTD_1:func.8">+</a> <font color="Maroon" title="c2">k</font></span>)</span>
 <b>by </b><i><a class="txt" href="scmring4.html#E3:44_3_7"><i><font color="Green" title="E36">A37</font></i></a>, <a class="ref" href="scmring4.html#T31" target="_self" title="SCMRING4:th.31">Th31</a></i>;<br/><a NAME="E5:44_3_7"/><i><font color="Green" title="E38">A39</font></i>: 
 <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">loc</font> <a href="amistd_1.html#K8" title="AMISTD_1:func.8">+</a> <font color="Maroon" title="c2">k</font>
 <b>by </b><i><a class="txt" href="scmring4.html#E4:44_3_7"><i><font color="Green" title="E37">A38</font></i></a>, <a class="ref" href="scmring2.html#T17" title="SCMRING2:th.17">SCMRING2:17</a></i>;<br/><i><font color="Green" title="E39">A40</font></i>:  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c4">I</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span></span>)</span> = 
<font color="Maroon" title="c6">loc</font>
<b>by </b><i><a class="txt" href="scmring4.html#E3:44_3_7"><i><font color="Green" title="E36">A37</font></i></a>, <a class="ref" href="scmring2.html#T17" title="SCMRING2:th.17">SCMRING2:17</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p3">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font>
<b>by </b><i><a class="txt" href="scmring4.html#E5:44_3_7"><i><font color="Green" title="E38">A39</font></i></a>, <a class="ref" href="scmring4.html#T5" target="_self" title="SCMRING4:th.5">Th5</a></i>
<br/>.= 
 <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p3">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p0">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="ami_5.html#T79" title="AMI_5:th.79">AMI_5:79</a></i>
;<br/><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="44_3_7_2"><b>now </b></a><div class="add"><b>let </b><font color="Maroon" title="c7">d</font> be    <a href="scmring2.html#M1" title="SCMRING2:mode.1">Data-Location</a> of <font color="Maroon" title="c3">R</font>;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c4">I</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c7">d</font> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c7">d</font>
<b>by </b><i><a class="txt" href="scmring4.html#E3:44_3_7"><i><font color="Green" title="E36">A37</font></i></a>, <a class="ref" href="scmring2.html#T17" title="SCMRING2:th.17">SCMRING2:17</a></i>
<br/>.= 
<font color="Maroon" title="c5">s</font> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c7">d</font>
<b>by </b><i><a class="ref" href="scmring4.html#T33" target="_self" title="SCMRING4:th.33">Th33</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c7">d</font>
<b>by </b><i><a class="txt" href="scmring4.html#E4:44_3_7"><i><font color="Green" title="E37">A38</font></i></a>, <a class="ref" href="scmring2.html#T17" title="SCMRING2:th.17">SCMRING2:17</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p3">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p0">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c7">d</font>
<b>by </b><i><a class="ref" href="scmring4.html#T33" target="_self" title="SCMRING4:th.33">Th33</a></i>
;<br/></div><b>end;</b></div><b>hence </b><a NAME="E8:44_3_7"/>
 <a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c4">I</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p1">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p4">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p5">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span>
 <b>by </b><i><a class="txt" href="scmring4.html#E3:44"><i><font color="Green" title="E34">A3</font></i></a>, <a class="txt" href="scmring4.html#E6:44_3_7"><i><font color="Green" title="E39">A40</font></i></a>, <a class="ref" href="scmring4.html#T34" target="_self" title="SCMRING4:th.34">Th34</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="44_3_8"><b>suppose </b></a><a NAME="E1:44_3_8"/>
 <a href="ami_5.html#K1" title="AMI_5:func.1">InsCode</a> <font color="Maroon" title="c4">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 7
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c6">da</font> being    <a href="scmring2.html#M1" title="SCMRING2:mode.1">Data-Location</a> of <font color="Maroon" title="c3">R</font>, <font color="Maroon" title="c7">loc</font> being   <a href="ami_1.html#NM2" title="AMI_1:NM.2">Instruction-Location</a> of <span class="p1">(<span class="default"><a href="scmring2.html#K1" title="SCMRING2:func.1">SCM</a> <font color="Maroon" title="c3">R</font></span>)</span><b> such that </b><br/><a NAME="E3:44_3_8"/><i><font color="Green" title="E36">A41</font></i>: 
<font color="Maroon" title="c4">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">da</font> <a href="scmring2.html#K10" title="SCMRING2:func.10">=0_goto</a> <font color="Maroon" title="c7">loc</font>
 <b>by </b><i><a class="ref" href="scmring3.html#T23" title="SCMRING3:th.23">SCMRING3:23</a></i>;<br/><a NAME="E4:44_3_8"/><i><font color="Green" title="E37">A42</font></i>: 
 <a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">da</font> <a href="scmring2.html#K10" title="SCMRING2:func.10">=0_goto</a> <span class="p1">(<span class="default"><font color="Maroon" title="c7">loc</font> <a href="amistd_1.html#K8" title="AMISTD_1:func.8">+</a> <font color="Maroon" title="c2">k</font></span>)</span>
 <b>by </b><i><a class="txt" href="scmring4.html#E3:44_3_8"><i><font color="Green" title="E36">A41</font></i></a>, <a class="ref" href="scmring4.html#T32" target="_self" title="SCMRING4:th.32">Th32</a></i>;<br/><div><i><font color="Green" title="E38">A43</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="44_3_8_1"><b>now </b></a><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="44_3_8_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:44_3_8_1_1"/>
( <font color="Maroon" title="c5">s</font> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c6">da</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="rlvect_1.html#K1" title="RLVECT_1:func.1">0.</a> <font color="Maroon" title="c3">R</font> or <font color="Maroon" title="c5">s</font> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c6">da</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="rlvect_1.html#K1" title="RLVECT_1:func.1">0.</a> <font color="Maroon" title="c3">R</font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="44_3_8_1_1_1"><b>suppose </b></a><a NAME="E1:44_3_8_1_1_1"/><i><font color="Green" title="E39">A44</font></i>: 
<font color="Maroon" title="c5">s</font> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c6">da</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="rlvect_1.html#K1" title="RLVECT_1:func.1">0.</a> <font color="Maroon" title="c3">R</font>
 ;<br/><div class="add"><a NAME="E2:44_3_8_1_1_1"/><b>then </b><i><font color="Green" title="E40">A45</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c6">da</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="rlvect_1.html#K1" title="RLVECT_1:func.1">0.</a> <font color="Maroon" title="c3">R</font>
 <b>by </b><i><a class="ref" href="scmring4.html#T33" target="_self" title="SCMRING4:th.33">Th33</a></i>;<br/><a NAME="E3:44_3_8_1_1_1"/><i><font color="Green" title="E41">A46</font></i>: 
 <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c7">loc</font> <a href="amistd_1.html#K8" title="AMISTD_1:func.8">+</a> <font color="Maroon" title="c2">k</font>
 <b>by </b><i><a class="txt" href="scmring4.html#E4:44_3_8"><i><font color="Green" title="E37">A42</font></i></a>, <a class="txt" href="scmring4.html#E1:44_3_8_1_1_1"><i><font color="Green" title="E39">A44</font></i></a>, <a class="ref" href="scmring2.html#T18" title="SCMRING2:th.18">SCMRING2:18</a></i>;<br/> <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c4">I</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span></span>)</span> = 
<font color="Maroon" title="c7">loc</font>
<b>by </b><i><a class="txt" href="scmring4.html#E3:44_3_8"><i><font color="Green" title="E36">A41</font></i></a>, <a class="txt" href="scmring4.html#E2:44_3_8_1_1_1"><i><font color="Green" title="E40">A45</font></i></a>, <a class="ref" href="scmring2.html#T18" title="SCMRING2:th.18">SCMRING2:18</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p3">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font>
<b>by </b><i><a class="txt" href="scmring4.html#E3:44_3_8_1_1_1"><i><font color="Green" title="E41">A46</font></i></a>, <a class="ref" href="scmring4.html#T5" target="_self" title="SCMRING4:th.5">Th5</a></i>
<br/>.= 
 <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p3">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p0">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="ami_5.html#T79" title="AMI_5:th.79">AMI_5:79</a></i>
;<br/><b>hence </b><a NAME="E5:44_3_8_1_1_1"/>
 <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c4">I</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p3">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p0">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span>
 ;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="44_3_8_1_1_2"><b>suppose </b></a><a NAME="E1:44_3_8_1_1_2"/><i><font color="Green" title="E39">A47</font></i>: 
<font color="Maroon" title="c5">s</font> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c6">da</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="rlvect_1.html#K1" title="RLVECT_1:func.1">0.</a> <font color="Maroon" title="c3">R</font>
 ;<br/><div class="add"><a NAME="E2:44_3_8_1_1_2"/><b>then </b><i><font color="Green" title="E40">A48</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c6">da</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="rlvect_1.html#K1" title="RLVECT_1:func.1">0.</a> <font color="Maroon" title="c3">R</font>
 <b>by </b><i><a class="ref" href="scmring4.html#T33" target="_self" title="SCMRING4:th.33">Th33</a></i>;<br/><a NAME="E3:44_3_8_1_1_2"/><i><font color="Green" title="E41">A49</font></i>: 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <span class="p2">(<span class="default"><a href="scmring2.html#K1" title="SCMRING2:func.1">SCM</a> <font color="Maroon" title="c3">R</font></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmring2.html#K11" title="SCMRING2:func.11">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span>
 <b>by </b><i><a class="txt" href="scmring4.html#E4:44_3_8"><i><font color="Green" title="E37">A42</font></i></a>, <a class="txt" href="scmring4.html#E1:44_3_8_1_1_2"><i><font color="Green" title="E39">A47</font></i></a>, <a class="ref" href="scmring2.html#T18" title="SCMRING2:th.18">SCMRING2:18</a></i>;<br/> <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c4">I</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span></span>)</span> = 
 <a href="scmring2.html#K11" title="SCMRING2:func.11">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p2">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="scmring4.html#E3:44_3_8"><i><font color="Green" title="E36">A41</font></i></a>, <a class="txt" href="scmring4.html#E2:44_3_8_1_1_2"><i><font color="Green" title="E40">A48</font></i></a>, <a class="ref" href="scmring2.html#T18" title="SCMRING2:th.18">SCMRING2:18</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p3">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font>
<b>by </b><i><a class="txt" href="scmring4.html#E2:44"><i><font color="Green" title="E33">A2</font></i></a>, <a class="ref" href="ami_5.html#T79" title="AMI_5:th.79">AMI_5:79</a>, <a class="txt" href="scmring4.html#E3:44_3_8_1_1_2"><i><font color="Green" title="E41">A49</font></i></a></i>
<br/>.= 
 <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p3">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p0">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="ami_5.html#T79" title="AMI_5:th.79">AMI_5:79</a></i>
;<br/><b>hence </b><a NAME="E5:44_3_8_1_1_2"/>
 <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c4">I</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p3">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p0">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span>
 ;<br/></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="44_3_8_2"><b>now </b></a><div class="add"><b>let </b><font color="Maroon" title="c8">d</font> be    <a href="scmring2.html#M1" title="SCMRING2:mode.1">Data-Location</a> of <font color="Maroon" title="c3">R</font>;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c4">I</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c8">d</font> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c8">d</font>
<b>by </b><i><a class="txt" href="scmring4.html#E3:44_3_8"><i><font color="Green" title="E36">A41</font></i></a>, <a class="ref" href="scmring2.html#T18" title="SCMRING2:th.18">SCMRING2:18</a></i>
<br/>.= 
<font color="Maroon" title="c5">s</font> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c8">d</font>
<b>by </b><i><a class="ref" href="scmring4.html#T33" target="_self" title="SCMRING4:th.33">Th33</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c8">d</font>
<b>by </b><i><a class="txt" href="scmring4.html#E4:44_3_8"><i><font color="Green" title="E37">A42</font></i></a>, <a class="ref" href="scmring2.html#T18" title="SCMRING2:th.18">SCMRING2:18</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p3">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p0">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <font color="Maroon" title="c8">d</font>
<b>by </b><i><a class="ref" href="scmring4.html#T33" target="_self" title="SCMRING4:th.33">Th33</a></i>
;<br/></div><b>end;</b></div><b>hence </b><a NAME="E7:44_3_8"/>
 <a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c4">I</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c5">s</font></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p1">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p4">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p5">(<span class="default"><a href="amistd_2.html#K8" title="AMISTD_2:func.8">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c5">s</font></span>)</span></span>)</span> <a href="scmring4.html#K1" title="SCMRING4:func.1">-'</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span>
 <b>by </b><i><a class="txt" href="scmring4.html#E3:44"><i><font color="Green" title="E34">A3</font></i></a>, <a class="txt" href="scmring4.html#E5:44_3_8"><i><font color="Green" title="E38">A43</font></i></a>, <a class="ref" href="scmring4.html#T34" target="_self" title="SCMRING4:th.34">Th34</a></i>;<br/></div><b>end;</b></div></div><b>end;</b></div>

</div>
