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<span class="kw">let </span><font color="Maroon" title="c1">INS</font> be   <a href="compos_1.html#NM1" title="COMPOS_1:NM.1">Instruction</a> of <a href="ami_3.html#K1" title="AMI_3:func.1">SCM</a>; <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="amistd_5.html#D2" title="AMISTD_5:def.2">AMISTD_5:def 2</a> <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c1">INS</font> is  <a href="amistd_5.html#V1" title="AMISTD_5:attr.1">relocable</a> </span><br/><span class="kw">let </span><font color="Maroon" title="c2">j</font>, <font color="Maroon" title="c3">k</font> be   <a href="nat_1.html#NM1" title="NAT_1:NM.1">Nat</a>; <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="amistd_5.html#D1" title="AMISTD_5:def.1">AMISTD_5:def 1</a> <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive">b<sub>1</sub></font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a>  holds   <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">k</font></span>)</span>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Olive">b<sub>1</sub></font>,<font color="Maroon" title="c3">k</font>)</span>)</span>) <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a>  <a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Olive">b<sub>1</sub></font>)</span>)</span>,<font color="Maroon" title="c3">k</font>)</span><br/>



<span class="kw">reconsider </span><font color="Maroon" title="c4">k</font> = <font color="Maroon" title="c3">k</font> as    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  <span class="kw">by</span> <span class="lab"><a class="ref" href="ordinal1.html#D12" title="ORDINAL1:def.12">ORDINAL1:def 12</a></span>;<br/>
<span class="kw">let </span><font color="Maroon" title="c5">s</font> be   <a href="memstr_0.html#NM2" title="MEMSTR_0:NM.2">State</a> of <a href="ami_3.html#K1" title="AMI_3:func.1">SCM</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">k</font></span>)</span>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c3">k</font>)</span>)</span>) <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a>  <a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c3">k</font>)</span><br/>

<span class="lab"><font color="Green" title="E5">A1</font></span>:  <a href="memstr_0.html#K3" title="MEMSTR_0:func.3">IC</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span> = 
<span class="p1">(<span class="default"><a href="memstr_0.html#K3" title="MEMSTR_0:func.3">IC</a> <span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span></span>)</span> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Maroon" title="c4">k</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="memstr_0.html#T53" title="MEMSTR_0:th.53">MEMSTR_0:53</a></span>
<br/>.= 
 <a href="memstr_0.html#K3" title="MEMSTR_0:func.3">IC</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="amistd_2.html#D3" title="AMISTD_2:def.3">AMISTD_2:def 3</a></span>
;<br/>
<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="7_1_1_2"><span class="kw">per </span></a><a class="txt" onclick="hs(this)" href="javascript:()"><span class="kw">cases </span></a><span class="hide"><a NAME="E1:7_1_1_2"/>
(  <a href="compos_1.html#K5" title="COMPOS_1:func.5">InsCode</a> <font color="Maroon" title="c1">INS</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or  <a href="compos_1.html#K5" title="COMPOS_1:func.5">InsCode</a> <font color="Maroon" title="c1">INS</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 or  <a href="compos_1.html#K5" title="COMPOS_1:func.5">InsCode</a> <font color="Maroon" title="c1">INS</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2 or  <a href="compos_1.html#K5" title="COMPOS_1:func.5">InsCode</a> <font color="Maroon" title="c1">INS</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 3 or  <a href="compos_1.html#K5" title="COMPOS_1:func.5">InsCode</a> <font color="Maroon" title="c1">INS</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 4 or  <a href="compos_1.html#K5" title="COMPOS_1:func.5">InsCode</a> <font color="Maroon" title="c1">INS</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 5 or  <a href="compos_1.html#K5" title="COMPOS_1:func.5">InsCode</a> <font color="Maroon" title="c1">INS</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 6 or  <a href="compos_1.html#K5" title="COMPOS_1:func.5">InsCode</a> <font color="Maroon" title="c1">INS</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 7 or  <a href="compos_1.html#K5" title="COMPOS_1:func.5">InsCode</a> <font color="Maroon" title="c1">INS</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 8 )
 </span><span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T5" title="AMI_5:th.5">AMI_5:5</a>, <a class="ref" href="nat_1.html#T32" title="NAT_1:th.32">NAT_1:32</a></span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="7_1_1_2_1"><span class="kw">suppose </span></a><a NAME="E1:7_1_1_2_1"/>
 <a href="compos_1.html#K5" title="COMPOS_1:func.5">InsCode</a> <font color="Maroon" title="c1">INS</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">k</font></span>)</span>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c3">k</font>)</span>)</span>) <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a>  <a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c3">k</font>)</span><br/><div class="add"><a NAME="E2:7_1_1_2_1"/><span class="kw">then </span><span class="lab"><font color="Green" title="E6">A3</font></span>: 
<font color="Maroon" title="c1">INS</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="compos_1.html#K2" title="COMPOS_1:func.2">halt</a> <a href="ami_3.html#K1" title="AMI_3:func.1">SCM</a>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T7" title="AMI_5:th.7">AMI_5:7</a></span>;<br/> <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>) = 
 <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<font color="Maroon" title="c1">INS</font>,<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:7_1_1_2_1"><span class="lab"><font color="Green" title="E6">A3</font></span></a>, <a class="ref" href="compos_1.html#T11" title="COMPOS_1:th.11">COMPOS_1:11</a></span>
<br/>.= 
 <a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:7_1_1_2_1"><span class="lab"><font color="Green" title="E6">A3</font></span></a>, <a class="ref" href="extpro_1.html#D3" title="EXTPRO_1:def.3">EXTPRO_1:def 3</a></span>
<br/>.= 
 <a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c4">k</font>)
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:7_1_1_2_1"><span class="lab"><font color="Green" title="E6">A3</font></span></a>, <a class="ref" href="extpro_1.html#D3" title="EXTPRO_1:def.3">EXTPRO_1:def 3</a></span>
;<br/><span class="kw">hence </span><a NAME="E4:7_1_1_2_1"/>
 <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">k</font></span>)</span>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c3">k</font>)</span>)</span>) <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a>  <a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c3">k</font>)
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="7_1_1_2_2"><span class="kw">suppose </span></a><a NAME="E1:7_1_1_2_2"/>
 <a href="compos_1.html#K5" title="COMPOS_1:func.5">InsCode</a> <font color="Maroon" title="c1">INS</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">k</font></span>)</span>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c3">k</font>)</span>)</span>) <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a>  <a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c3">k</font>)</span><br/><div class="add"><span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c6">da</font>, <font color="Maroon" title="c7">db</font> being    <a href="ami_3.html#M1" title="AMI_3:mode.1">Data-Location</a> <span class="kw"> such that </span><br/><a NAME="E3:7_1_1_2_2"/><span class="lab"><font color="Green" title="E6">A4</font></span>: 
<font color="Maroon" title="c1">INS</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">da</font> <a href="ami_3.html#K3" title="AMI_3:func.3">:=</a> <font color="Maroon" title="c7">db</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T8" title="AMI_5:th.8">AMI_5:8</a></span>;<br/><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="7_1_1_2_2_1"><span class="kw">now </span></a><div class="add"><span class="kw">let </span><font color="Maroon" title="c8">d</font> be    <a href="ami_3.html#M1" title="AMI_3:mode.1">Data-Location</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Olive">b<sub>1</sub></font></span><br/><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="7_1_1_2_2_1_1"><span class="kw">per </span></a><a class="txt" onclick="hs(this)" href="javascript:()"><span class="kw">cases </span></a><span class="hide"><a NAME="E1:7_1_1_2_2_1_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="7_1_1_2_2_1_1_1"><span class="kw">suppose </span></a><a NAME="E1:7_1_1_2_2_1_1_1"/><span class="lab"><font color="Green" title="E7">A5</font></span>: 
<font color="Maroon" title="c6">da</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">d</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Olive">b<sub>1</sub></font></span><br/><div class="add"><span class="kw">thus </span><span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font> = 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<font color="Maroon" title="c1">INS</font>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_2"><span class="lab"><font color="Green" title="E6">A4</font></span></a>, <a class="ref" href="compos_1.html#T11" title="COMPOS_1:th.11">COMPOS_1:11</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c7">db</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_2"><span class="lab"><font color="Green" title="E6">A4</font></span></a>, <a class="txt" href="#E1:7_1_1_2_2_1_1_1"><span class="lab"><font color="Green" title="E7">A5</font></span></a>, <a class="ref" href="ami_3.html#T2" title="AMI_3:th.2">AMI_3:2</a></span>
<br/>.= 
<font color="Maroon" title="c5">s</font> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c7">db</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T16" title="AMI_5:th.16">AMI_5:16</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c5">s</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_2"><span class="lab"><font color="Green" title="E6">A4</font></span></a>, <a class="txt" href="#E1:7_1_1_2_2_1_1_1"><span class="lab"><font color="Green" title="E7">A5</font></span></a>, <a class="ref" href="ami_3.html#T2" title="AMI_3:th.2">AMI_3:2</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_2"><span class="lab"><font color="Green" title="E6">A4</font></span></a>, <a class="ref" href="compos_1.html#T11" title="COMPOS_1:th.11">COMPOS_1:11</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T16" title="AMI_5:th.16">AMI_5:16</a></span>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="7_1_1_2_2_1_1_2"><span class="kw">suppose </span></a><a NAME="E1:7_1_1_2_2_1_1_2"/><span class="lab"><font color="Green" title="E7">A6</font></span>: 
<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>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Olive">b<sub>1</sub></font></span><br/><div class="add"><span class="kw">thus </span><span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font> = 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<font color="Maroon" title="c1">INS</font>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_2"><span class="lab"><font color="Green" title="E6">A4</font></span></a>, <a class="ref" href="compos_1.html#T11" title="COMPOS_1:th.11">COMPOS_1:11</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_2"><span class="lab"><font color="Green" title="E6">A4</font></span></a>, <a class="txt" href="#E1:7_1_1_2_2_1_1_2"><span class="lab"><font color="Green" title="E7">A6</font></span></a>, <a class="ref" href="ami_3.html#T2" title="AMI_3:th.2">AMI_3:2</a></span>
<br/>.= 
<font color="Maroon" title="c5">s</font> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T16" title="AMI_5:th.16">AMI_5:16</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c5">s</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_2"><span class="lab"><font color="Green" title="E6">A4</font></span></a>, <a class="txt" href="#E1:7_1_1_2_2_1_1_2"><span class="lab"><font color="Green" title="E7">A6</font></span></a>, <a class="ref" href="ami_3.html#T2" title="AMI_3:th.2">AMI_3:2</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_2"><span class="lab"><font color="Green" title="E6">A4</font></span></a>, <a class="ref" href="compos_1.html#T11" title="COMPOS_1:th.11">COMPOS_1:11</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T16" title="AMI_5:th.16">AMI_5:16</a></span>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div><span class="kw">hence </span><a NAME="E5:7_1_1_2_2"/>
 <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">k</font></span>)</span>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c3">k</font>)</span>)</span>) <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a>  <a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c3">k</font>)
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:7_1_1"><span class="lab"><font color="Green" title="E5">A1</font></span></a>, <a class="ref" href="ami_5.html#T25" title="AMI_5:th.25">AMI_5:25</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="7_1_1_2_3"><span class="kw">suppose </span></a><a NAME="E1:7_1_1_2_3"/>
 <a href="compos_1.html#K5" title="COMPOS_1:func.5">InsCode</a> <font color="Maroon" title="c1">INS</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">k</font></span>)</span>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c3">k</font>)</span>)</span>) <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a>  <a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c3">k</font>)</span><br/><div class="add"><span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c6">da</font>, <font color="Maroon" title="c7">db</font> being    <a href="ami_3.html#M1" title="AMI_3:mode.1">Data-Location</a> <span class="kw"> such that </span><br/><a NAME="E3:7_1_1_2_3"/><span class="lab"><font color="Green" title="E6">A7</font></span>: 
<font color="Maroon" title="c1">INS</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_3.html#K4" title="AMI_3:func.4">AddTo</a> (<font color="Maroon" title="c6">da</font>,<font color="Maroon" title="c7">db</font>)
 <span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T9" title="AMI_5:th.9">AMI_5:9</a></span>;<br/><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="7_1_1_2_3_1"><span class="kw">now </span></a><div class="add"><span class="kw">let </span><font color="Maroon" title="c8">d</font> be    <a href="ami_3.html#M1" title="AMI_3:mode.1">Data-Location</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Olive">b<sub>1</sub></font></span><br/><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="7_1_1_2_3_1_1"><span class="kw">per </span></a><a class="txt" onclick="hs(this)" href="javascript:()"><span class="kw">cases </span></a><span class="hide"><a NAME="E1:7_1_1_2_3_1_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="7_1_1_2_3_1_1_1"><span class="kw">suppose </span></a><a NAME="E1:7_1_1_2_3_1_1_1"/><span class="lab"><font color="Green" title="E7">A8</font></span>: 
<font color="Maroon" title="c6">da</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">d</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Olive">b<sub>1</sub></font></span><br/><div class="add"><span class="kw">thus </span><span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font> = 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<font color="Maroon" title="c1">INS</font>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_3"><span class="lab"><font color="Green" title="E6">A7</font></span></a>, <a class="ref" href="compos_1.html#T11" title="COMPOS_1:th.11">COMPOS_1:11</a></span>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c6">da</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c7">db</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:7_1_1_2_3_1_1_1"><span class="lab"><font color="Green" title="E7">A8</font></span></a>, <a class="txt" href="#E3:7_1_1_2_3"><span class="lab"><font color="Green" title="E6">A7</font></span></a>, <a class="ref" href="ami_3.html#T3" title="AMI_3:th.3">AMI_3:3</a></span>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c6">da</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c7">db</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T16" title="AMI_5:th.16">AMI_5:16</a></span>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c6">da</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c7">db</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T16" title="AMI_5:th.16">AMI_5:16</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c5">s</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_3"><span class="lab"><font color="Green" title="E6">A7</font></span></a>, <a class="txt" href="#E1:7_1_1_2_3_1_1_1"><span class="lab"><font color="Green" title="E7">A8</font></span></a>, <a class="ref" href="ami_3.html#T3" title="AMI_3:th.3">AMI_3:3</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_3"><span class="lab"><font color="Green" title="E6">A7</font></span></a>, <a class="ref" href="compos_1.html#T11" title="COMPOS_1:th.11">COMPOS_1:11</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T16" title="AMI_5:th.16">AMI_5:16</a></span>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="7_1_1_2_3_1_1_2"><span class="kw">suppose </span></a><a NAME="E1:7_1_1_2_3_1_1_2"/><span class="lab"><font color="Green" title="E7">A9</font></span>: 
<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>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Olive">b<sub>1</sub></font></span><br/><div class="add"><span class="kw">thus </span><span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font> = 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<font color="Maroon" title="c1">INS</font>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_3"><span class="lab"><font color="Green" title="E6">A7</font></span></a>, <a class="ref" href="compos_1.html#T11" title="COMPOS_1:th.11">COMPOS_1:11</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_3"><span class="lab"><font color="Green" title="E6">A7</font></span></a>, <a class="txt" href="#E1:7_1_1_2_3_1_1_2"><span class="lab"><font color="Green" title="E7">A9</font></span></a>, <a class="ref" href="ami_3.html#T3" title="AMI_3:th.3">AMI_3:3</a></span>
<br/>.= 
<font color="Maroon" title="c5">s</font> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T16" title="AMI_5:th.16">AMI_5:16</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c5">s</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_3"><span class="lab"><font color="Green" title="E6">A7</font></span></a>, <a class="txt" href="#E1:7_1_1_2_3_1_1_2"><span class="lab"><font color="Green" title="E7">A9</font></span></a>, <a class="ref" href="ami_3.html#T3" title="AMI_3:th.3">AMI_3:3</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_3"><span class="lab"><font color="Green" title="E6">A7</font></span></a>, <a class="ref" href="compos_1.html#T11" title="COMPOS_1:th.11">COMPOS_1:11</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T16" title="AMI_5:th.16">AMI_5:16</a></span>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div><span class="kw">hence </span><a NAME="E5:7_1_1_2_3"/>
 <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">k</font></span>)</span>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c3">k</font>)</span>)</span>) <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a>  <a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c3">k</font>)
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:7_1_1"><span class="lab"><font color="Green" title="E5">A1</font></span></a>, <a class="ref" href="ami_5.html#T25" title="AMI_5:th.25">AMI_5:25</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="7_1_1_2_4"><span class="kw">suppose </span></a><a NAME="E1:7_1_1_2_4"/>
 <a href="compos_1.html#K5" title="COMPOS_1:func.5">InsCode</a> <font color="Maroon" title="c1">INS</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 3
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">k</font></span>)</span>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c3">k</font>)</span>)</span>) <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a>  <a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c3">k</font>)</span><br/><div class="add"><span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c6">da</font>, <font color="Maroon" title="c7">db</font> being    <a href="ami_3.html#M1" title="AMI_3:mode.1">Data-Location</a> <span class="kw"> such that </span><br/><a NAME="E3:7_1_1_2_4"/><span class="lab"><font color="Green" title="E6">A10</font></span>: 
<font color="Maroon" title="c1">INS</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_3.html#K5" title="AMI_3:func.5">SubFrom</a> (<font color="Maroon" title="c6">da</font>,<font color="Maroon" title="c7">db</font>)
 <span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T10" title="AMI_5:th.10">AMI_5:10</a></span>;<br/><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="7_1_1_2_4_1"><span class="kw">now </span></a><div class="add"><span class="kw">let </span><font color="Maroon" title="c8">d</font> be    <a href="ami_3.html#M1" title="AMI_3:mode.1">Data-Location</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Olive">b<sub>1</sub></font></span><br/><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="7_1_1_2_4_1_1"><span class="kw">per </span></a><a class="txt" onclick="hs(this)" href="javascript:()"><span class="kw">cases </span></a><span class="hide"><a NAME="E1:7_1_1_2_4_1_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="7_1_1_2_4_1_1_1"><span class="kw">suppose </span></a><a NAME="E1:7_1_1_2_4_1_1_1"/><span class="lab"><font color="Green" title="E7">A11</font></span>: 
<font color="Maroon" title="c6">da</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">d</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Olive">b<sub>1</sub></font></span><br/><div class="add"><span class="kw">thus </span><span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font> = 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<font color="Maroon" title="c1">INS</font>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_4"><span class="lab"><font color="Green" title="E6">A10</font></span></a>, <a class="ref" href="compos_1.html#T11" title="COMPOS_1:th.11">COMPOS_1:11</a></span>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c6">da</font></span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c7">db</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:7_1_1_2_4_1_1_1"><span class="lab"><font color="Green" title="E7">A11</font></span></a>, <a class="txt" href="#E3:7_1_1_2_4"><span class="lab"><font color="Green" title="E6">A10</font></span></a>, <a class="ref" href="ami_3.html#T4" title="AMI_3:th.4">AMI_3:4</a></span>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c6">da</font></span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c7">db</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T16" title="AMI_5:th.16">AMI_5:16</a></span>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c6">da</font></span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c7">db</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T16" title="AMI_5:th.16">AMI_5:16</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c5">s</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_4"><span class="lab"><font color="Green" title="E6">A10</font></span></a>, <a class="txt" href="#E1:7_1_1_2_4_1_1_1"><span class="lab"><font color="Green" title="E7">A11</font></span></a>, <a class="ref" href="ami_3.html#T4" title="AMI_3:th.4">AMI_3:4</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_4"><span class="lab"><font color="Green" title="E6">A10</font></span></a>, <a class="ref" href="compos_1.html#T11" title="COMPOS_1:th.11">COMPOS_1:11</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T16" title="AMI_5:th.16">AMI_5:16</a></span>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="7_1_1_2_4_1_1_2"><span class="kw">suppose </span></a><a NAME="E1:7_1_1_2_4_1_1_2"/><span class="lab"><font color="Green" title="E7">A12</font></span>: 
<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>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Olive">b<sub>1</sub></font></span><br/><div class="add"><span class="kw">thus </span><span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font> = 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<font color="Maroon" title="c1">INS</font>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_4"><span class="lab"><font color="Green" title="E6">A10</font></span></a>, <a class="ref" href="compos_1.html#T11" title="COMPOS_1:th.11">COMPOS_1:11</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_4"><span class="lab"><font color="Green" title="E6">A10</font></span></a>, <a class="txt" href="#E1:7_1_1_2_4_1_1_2"><span class="lab"><font color="Green" title="E7">A12</font></span></a>, <a class="ref" href="ami_3.html#T4" title="AMI_3:th.4">AMI_3:4</a></span>
<br/>.= 
<font color="Maroon" title="c5">s</font> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T16" title="AMI_5:th.16">AMI_5:16</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c5">s</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_4"><span class="lab"><font color="Green" title="E6">A10</font></span></a>, <a class="txt" href="#E1:7_1_1_2_4_1_1_2"><span class="lab"><font color="Green" title="E7">A12</font></span></a>, <a class="ref" href="ami_3.html#T4" title="AMI_3:th.4">AMI_3:4</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_4"><span class="lab"><font color="Green" title="E6">A10</font></span></a>, <a class="ref" href="compos_1.html#T11" title="COMPOS_1:th.11">COMPOS_1:11</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T16" title="AMI_5:th.16">AMI_5:16</a></span>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div><span class="kw">hence </span><a NAME="E5:7_1_1_2_4"/>
 <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">k</font></span>)</span>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c3">k</font>)</span>)</span>) <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a>  <a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c3">k</font>)
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:7_1_1"><span class="lab"><font color="Green" title="E5">A1</font></span></a>, <a class="ref" href="ami_5.html#T25" title="AMI_5:th.25">AMI_5:25</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="7_1_1_2_5"><span class="kw">suppose </span></a><a NAME="E1:7_1_1_2_5"/>
 <a href="compos_1.html#K5" title="COMPOS_1:func.5">InsCode</a> <font color="Maroon" title="c1">INS</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 4
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">k</font></span>)</span>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c3">k</font>)</span>)</span>) <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a>  <a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c3">k</font>)</span><br/><div class="add"><span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c6">da</font>, <font color="Maroon" title="c7">db</font> being    <a href="ami_3.html#M1" title="AMI_3:mode.1">Data-Location</a> <span class="kw"> such that </span><br/><a NAME="E3:7_1_1_2_5"/><span class="lab"><font color="Green" title="E6">A13</font></span>: 
<font color="Maroon" title="c1">INS</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_3.html#K6" title="AMI_3:func.6">MultBy</a> (<font color="Maroon" title="c6">da</font>,<font color="Maroon" title="c7">db</font>)
 <span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T11" title="AMI_5:th.11">AMI_5:11</a></span>;<br/><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="7_1_1_2_5_1"><span class="kw">now </span></a><div class="add"><span class="kw">let </span><font color="Maroon" title="c8">d</font> be    <a href="ami_3.html#M1" title="AMI_3:mode.1">Data-Location</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Olive">b<sub>1</sub></font></span><br/><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="7_1_1_2_5_1_1"><span class="kw">per </span></a><a class="txt" onclick="hs(this)" href="javascript:()"><span class="kw">cases </span></a><span class="hide"><a NAME="E1:7_1_1_2_5_1_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="7_1_1_2_5_1_1_1"><span class="kw">suppose </span></a><a NAME="E1:7_1_1_2_5_1_1_1"/><span class="lab"><font color="Green" title="E7">A14</font></span>: 
<font color="Maroon" title="c6">da</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">d</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Olive">b<sub>1</sub></font></span><br/><div class="add"><span class="kw">thus </span><span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font> = 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<font color="Maroon" title="c1">INS</font>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_5"><span class="lab"><font color="Green" title="E6">A13</font></span></a>, <a class="ref" href="compos_1.html#T11" title="COMPOS_1:th.11">COMPOS_1:11</a></span>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c6">da</font></span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c7">db</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:7_1_1_2_5_1_1_1"><span class="lab"><font color="Green" title="E7">A14</font></span></a>, <a class="txt" href="#E3:7_1_1_2_5"><span class="lab"><font color="Green" title="E6">A13</font></span></a>, <a class="ref" href="ami_3.html#T5" title="AMI_3:th.5">AMI_3:5</a></span>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c6">da</font></span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c7">db</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T16" title="AMI_5:th.16">AMI_5:16</a></span>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c6">da</font></span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c7">db</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T16" title="AMI_5:th.16">AMI_5:16</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c5">s</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_5"><span class="lab"><font color="Green" title="E6">A13</font></span></a>, <a class="txt" href="#E1:7_1_1_2_5_1_1_1"><span class="lab"><font color="Green" title="E7">A14</font></span></a>, <a class="ref" href="ami_3.html#T5" title="AMI_3:th.5">AMI_3:5</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_5"><span class="lab"><font color="Green" title="E6">A13</font></span></a>, <a class="ref" href="compos_1.html#T11" title="COMPOS_1:th.11">COMPOS_1:11</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T16" title="AMI_5:th.16">AMI_5:16</a></span>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="7_1_1_2_5_1_1_2"><span class="kw">suppose </span></a><a NAME="E1:7_1_1_2_5_1_1_2"/><span class="lab"><font color="Green" title="E7">A15</font></span>: 
<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>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Olive">b<sub>1</sub></font></span><br/><div class="add"><span class="kw">thus </span><span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font> = 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<font color="Maroon" title="c1">INS</font>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_5"><span class="lab"><font color="Green" title="E6">A13</font></span></a>, <a class="ref" href="compos_1.html#T11" title="COMPOS_1:th.11">COMPOS_1:11</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_5"><span class="lab"><font color="Green" title="E6">A13</font></span></a>, <a class="txt" href="#E1:7_1_1_2_5_1_1_2"><span class="lab"><font color="Green" title="E7">A15</font></span></a>, <a class="ref" href="ami_3.html#T5" title="AMI_3:th.5">AMI_3:5</a></span>
<br/>.= 
<font color="Maroon" title="c5">s</font> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T16" title="AMI_5:th.16">AMI_5:16</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c5">s</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_5"><span class="lab"><font color="Green" title="E6">A13</font></span></a>, <a class="txt" href="#E1:7_1_1_2_5_1_1_2"><span class="lab"><font color="Green" title="E7">A15</font></span></a>, <a class="ref" href="ami_3.html#T5" title="AMI_3:th.5">AMI_3:5</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_5"><span class="lab"><font color="Green" title="E6">A13</font></span></a>, <a class="ref" href="compos_1.html#T11" title="COMPOS_1:th.11">COMPOS_1:11</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T16" title="AMI_5:th.16">AMI_5:16</a></span>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div><span class="kw">hence </span><a NAME="E5:7_1_1_2_5"/>
 <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">k</font></span>)</span>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c3">k</font>)</span>)</span>) <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a>  <a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c3">k</font>)
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:7_1_1"><span class="lab"><font color="Green" title="E5">A1</font></span></a>, <a class="ref" href="ami_5.html#T25" title="AMI_5:th.25">AMI_5:25</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="7_1_1_2_6"><span class="kw">suppose </span></a><a NAME="E1:7_1_1_2_6"/>
 <a href="compos_1.html#K5" title="COMPOS_1:func.5">InsCode</a> <font color="Maroon" title="c1">INS</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 5
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">k</font></span>)</span>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c3">k</font>)</span>)</span>) <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a>  <a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c3">k</font>)</span><br/><div class="add"><span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c6">da</font>, <font color="Maroon" title="c7">db</font> being    <a href="ami_3.html#M1" title="AMI_3:mode.1">Data-Location</a> <span class="kw"> such that </span><br/><a NAME="E3:7_1_1_2_6"/><span class="lab"><font color="Green" title="E6">A16</font></span>: 
<font color="Maroon" title="c1">INS</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_3.html#K7" title="AMI_3:func.7">Divide</a> (<font color="Maroon" title="c6">da</font>,<font color="Maroon" title="c7">db</font>)
 <span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T12" title="AMI_5:th.12">AMI_5:12</a></span>;<br/><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="7_1_1_2_6_1"><span class="kw">now </span></a><div class="add"><span class="kw">let </span><font color="Maroon" title="c8">d</font> be    <a href="ami_3.html#M1" title="AMI_3:mode.1">Data-Location</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Olive">b<sub>1</sub></font></span><br/><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="7_1_1_2_6_1_1"><span class="kw">per </span></a><a class="txt" onclick="hs(this)" href="javascript:()"><span class="kw">cases </span></a><span class="hide"><a NAME="E1:7_1_1_2_6_1_1"/>
( <font color="Maroon" title="c6">da</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c7">db</font> or <font color="Maroon" title="c6">da</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c7">db</font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="7_1_1_2_6_1_1_1"><span class="kw">suppose </span></a><a NAME="E1:7_1_1_2_6_1_1_1"/><span class="lab"><font color="Green" title="E7">A17</font></span>: 
<font color="Maroon" title="c6">da</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c7">db</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Olive">b<sub>1</sub></font></span><br/><div class="add"><div><span class="kw">hereby </span> <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span>
<div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="7_1_1_2_6_1_1_1_1_1"><span class="kw">per </span></a><a class="txt" onclick="hs(this)" href="javascript:()"><span class="kw">cases </span></a><span class="hide"><a NAME="E1:7_1_1_2_6_1_1_1_1_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="c7">db</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> &amp; <font color="Maroon" title="c7">db</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="7_1_1_2_6_1_1_1_1_1_1"><span class="kw">suppose </span></a><a NAME="E1:7_1_1_2_6_1_1_1_1_1_1"/><span class="lab"><font color="Green" title="E8">A18</font></span>: 
<font color="Maroon" title="c6">da</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">d</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font></span><br/><div class="add"><span class="kw">thus </span><span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font> = 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<font color="Maroon" title="c1">INS</font>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_6"><span class="lab"><font color="Green" title="E6">A16</font></span></a>, <a class="ref" href="compos_1.html#T11" title="COMPOS_1:th.11">COMPOS_1:11</a></span>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c6">da</font></span>)</span> <a href="int_1.html#K5" title="INT_1:func.5">div</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c7">db</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:7_1_1_2_6_1_1_1"><span class="lab"><font color="Green" title="E7">A17</font></span></a>, <a class="txt" href="#E1:7_1_1_2_6_1_1_1_1_1_1"><span class="lab"><font color="Green" title="E8">A18</font></span></a>, <a class="txt" href="#E3:7_1_1_2_6"><span class="lab"><font color="Green" title="E6">A16</font></span></a>, <a class="ref" href="ami_3.html#T6" title="AMI_3:th.6">AMI_3:6</a></span>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c6">da</font></span>)</span> <a href="int_1.html#K5" title="INT_1:func.5">div</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c7">db</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T16" title="AMI_5:th.16">AMI_5:16</a></span>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c6">da</font></span>)</span> <a href="int_1.html#K5" title="INT_1:func.5">div</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c7">db</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T16" title="AMI_5:th.16">AMI_5:16</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c5">s</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_6"><span class="lab"><font color="Green" title="E6">A16</font></span></a>, <a class="txt" href="#E1:7_1_1_2_6_1_1_1"><span class="lab"><font color="Green" title="E7">A17</font></span></a>, <a class="txt" href="#E1:7_1_1_2_6_1_1_1_1_1_1"><span class="lab"><font color="Green" title="E8">A18</font></span></a>, <a class="ref" href="ami_3.html#T6" title="AMI_3:th.6">AMI_3:6</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_6"><span class="lab"><font color="Green" title="E6">A16</font></span></a>, <a class="ref" href="compos_1.html#T11" title="COMPOS_1:th.11">COMPOS_1:11</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T16" title="AMI_5:th.16">AMI_5:16</a></span>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="7_1_1_2_6_1_1_1_1_1_2"><span class="kw">suppose </span></a><a NAME="E1:7_1_1_2_6_1_1_1_1_1_2"/><span class="lab"><font color="Green" title="E8">A19</font></span>: 
<font color="Maroon" title="c7">db</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">d</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font></span><br/><div class="add"><span class="kw">thus </span><span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font> = 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<font color="Maroon" title="c1">INS</font>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_6"><span class="lab"><font color="Green" title="E6">A16</font></span></a>, <a class="ref" href="compos_1.html#T11" title="COMPOS_1:th.11">COMPOS_1:11</a></span>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c6">da</font></span>)</span> <a href="int_1.html#K6" title="INT_1:func.6">mod</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c7">db</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:7_1_1_2_6_1_1_1_1_1_2"><span class="lab"><font color="Green" title="E8">A19</font></span></a>, <a class="txt" href="#E3:7_1_1_2_6"><span class="lab"><font color="Green" title="E6">A16</font></span></a>, <a class="ref" href="ami_3.html#T6" title="AMI_3:th.6">AMI_3:6</a></span>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c6">da</font></span>)</span> <a href="int_1.html#K6" title="INT_1:func.6">mod</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c7">db</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T16" title="AMI_5:th.16">AMI_5:16</a></span>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c6">da</font></span>)</span> <a href="int_1.html#K6" title="INT_1:func.6">mod</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c7">db</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T16" title="AMI_5:th.16">AMI_5:16</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c5">s</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_6"><span class="lab"><font color="Green" title="E6">A16</font></span></a>, <a class="txt" href="#E1:7_1_1_2_6_1_1_1_1_1_2"><span class="lab"><font color="Green" title="E8">A19</font></span></a>, <a class="ref" href="ami_3.html#T6" title="AMI_3:th.6">AMI_3:6</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_6"><span class="lab"><font color="Green" title="E6">A16</font></span></a>, <a class="ref" href="compos_1.html#T11" title="COMPOS_1:th.11">COMPOS_1:11</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T16" title="AMI_5:th.16">AMI_5:16</a></span>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="7_1_1_2_6_1_1_1_1_1_3"><span class="kw">suppose </span></a><a NAME="E1:7_1_1_2_6_1_1_1_1_1_3"/><span class="lab"><font color="Green" title="E8">A20</font></span>: 
( <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> &amp; <font color="Maroon" title="c7">db</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c8">d</font> )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font></span><br/><div class="add"><span class="kw">thus </span><span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font> = 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<font color="Maroon" title="c1">INS</font>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_6"><span class="lab"><font color="Green" title="E6">A16</font></span></a>, <a class="ref" href="compos_1.html#T11" title="COMPOS_1:th.11">COMPOS_1:11</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_6"><span class="lab"><font color="Green" title="E6">A16</font></span></a>, <a class="txt" href="#E1:7_1_1_2_6_1_1_1_1_1_3"><span class="lab"><font color="Green" title="E8">A20</font></span></a>, <a class="ref" href="ami_3.html#T6" title="AMI_3:th.6">AMI_3:6</a></span>
<br/>.= 
<font color="Maroon" title="c5">s</font> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T16" title="AMI_5:th.16">AMI_5:16</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c5">s</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_6"><span class="lab"><font color="Green" title="E6">A16</font></span></a>, <a class="txt" href="#E1:7_1_1_2_6_1_1_1_1_1_3"><span class="lab"><font color="Green" title="E8">A20</font></span></a>, <a class="ref" href="ami_3.html#T6" title="AMI_3:th.6">AMI_3:6</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_6"><span class="lab"><font color="Green" title="E6">A16</font></span></a>, <a class="ref" href="compos_1.html#T11" title="COMPOS_1:th.11">COMPOS_1:11</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T16" title="AMI_5:th.16">AMI_5:16</a></span>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div></div>
<span class="kw">end;</span></div></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="7_1_1_2_6_1_1_2"><span class="kw">suppose </span></a><a NAME="E1:7_1_1_2_6_1_1_2"/><span class="lab"><font color="Green" title="E7">A21</font></span>: 
<font color="Maroon" title="c6">da</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c7">db</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Olive">b<sub>1</sub></font></span><br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="7_1_1_2_6_1_1_2_1"><span class="kw">per </span></a><a class="txt" onclick="hs(this)" href="javascript:()"><span class="kw">cases </span></a><span class="hide"><a NAME="E1:7_1_1_2_6_1_1_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="7_1_1_2_6_1_1_2_1_1"><span class="kw">suppose </span></a><a NAME="E1:7_1_1_2_6_1_1_2_1_1"/><span class="lab"><font color="Green" title="E8">A22</font></span>: 
<font color="Maroon" title="c6">da</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">d</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Olive">b<sub>1</sub></font></span><br/><div class="add"><span class="kw">thus </span><span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font> = 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<font color="Maroon" title="c1">INS</font>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_6"><span class="lab"><font color="Green" title="E6">A16</font></span></a>, <a class="ref" href="compos_1.html#T11" title="COMPOS_1:th.11">COMPOS_1:11</a></span>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c6">da</font></span>)</span> <a href="int_1.html#K6" title="INT_1:func.6">mod</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c7">db</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:7_1_1_2_6_1_1_2"><span class="lab"><font color="Green" title="E7">A21</font></span></a>, <a class="txt" href="#E1:7_1_1_2_6_1_1_2_1_1"><span class="lab"><font color="Green" title="E8">A22</font></span></a>, <a class="txt" href="#E3:7_1_1_2_6"><span class="lab"><font color="Green" title="E6">A16</font></span></a>, <a class="ref" href="ami_3.html#T6" title="AMI_3:th.6">AMI_3:6</a></span>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c6">da</font></span>)</span> <a href="int_1.html#K6" title="INT_1:func.6">mod</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c7">db</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T16" title="AMI_5:th.16">AMI_5:16</a></span>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c6">da</font></span>)</span> <a href="int_1.html#K6" title="INT_1:func.6">mod</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c7">db</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T16" title="AMI_5:th.16">AMI_5:16</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c5">s</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_6"><span class="lab"><font color="Green" title="E6">A16</font></span></a>, <a class="txt" href="#E1:7_1_1_2_6_1_1_2"><span class="lab"><font color="Green" title="E7">A21</font></span></a>, <a class="txt" href="#E1:7_1_1_2_6_1_1_2_1_1"><span class="lab"><font color="Green" title="E8">A22</font></span></a>, <a class="ref" href="ami_3.html#T6" title="AMI_3:th.6">AMI_3:6</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_6"><span class="lab"><font color="Green" title="E6">A16</font></span></a>, <a class="ref" href="compos_1.html#T11" title="COMPOS_1:th.11">COMPOS_1:11</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T16" title="AMI_5:th.16">AMI_5:16</a></span>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="7_1_1_2_6_1_1_2_1_2"><span class="kw">suppose </span></a><a NAME="E1:7_1_1_2_6_1_1_2_1_2"/><span class="lab"><font color="Green" title="E8">A23</font></span>: 
<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>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Olive">b<sub>1</sub></font></span><br/><div class="add"><span class="kw">thus </span><span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font> = 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<font color="Maroon" title="c1">INS</font>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_6"><span class="lab"><font color="Green" title="E6">A16</font></span></a>, <a class="ref" href="compos_1.html#T11" title="COMPOS_1:th.11">COMPOS_1:11</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_6"><span class="lab"><font color="Green" title="E6">A16</font></span></a>, <a class="txt" href="#E1:7_1_1_2_6_1_1_2"><span class="lab"><font color="Green" title="E7">A21</font></span></a>, <a class="txt" href="#E1:7_1_1_2_6_1_1_2_1_2"><span class="lab"><font color="Green" title="E8">A23</font></span></a>, <a class="ref" href="ami_3.html#T6" title="AMI_3:th.6">AMI_3:6</a></span>
<br/>.= 
<font color="Maroon" title="c5">s</font> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T16" title="AMI_5:th.16">AMI_5:16</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c5">s</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_6"><span class="lab"><font color="Green" title="E6">A16</font></span></a>, <a class="txt" href="#E1:7_1_1_2_6_1_1_2"><span class="lab"><font color="Green" title="E7">A21</font></span></a>, <a class="txt" href="#E1:7_1_1_2_6_1_1_2_1_2"><span class="lab"><font color="Green" title="E8">A23</font></span></a>, <a class="ref" href="ami_3.html#T6" title="AMI_3:th.6">AMI_3:6</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_6"><span class="lab"><font color="Green" title="E6">A16</font></span></a>, <a class="ref" href="compos_1.html#T11" title="COMPOS_1:th.11">COMPOS_1:11</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T16" title="AMI_5:th.16">AMI_5:16</a></span>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div><span class="kw">hence </span><a NAME="E5:7_1_1_2_6"/>
 <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">k</font></span>)</span>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c3">k</font>)</span>)</span>) <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a>  <a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c3">k</font>)
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:7_1_1"><span class="lab"><font color="Green" title="E5">A1</font></span></a>, <a class="ref" href="ami_5.html#T25" title="AMI_5:th.25">AMI_5:25</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="7_1_1_2_7"><span class="kw">suppose </span></a><a NAME="E1:7_1_1_2_7"/>
 <a href="compos_1.html#K5" title="COMPOS_1:func.5">InsCode</a> <font color="Maroon" title="c1">INS</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 6
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">k</font></span>)</span>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c3">k</font>)</span>)</span>) <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a>  <a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c3">k</font>)</span><br/><div class="add"><span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c6">loc</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> <span class="kw"> such that </span><br/><a NAME="E3:7_1_1_2_7"/><span class="lab"><font color="Green" title="E6">A24</font></span>: 
<font color="Maroon" title="c1">INS</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_3.html#K8" title="AMI_3:func.8">SCM-goto</a> <font color="Maroon" title="c6">loc</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T13" title="AMI_5:th.13">AMI_5:13</a></span>;<br/><a NAME="E4:7_1_1_2_7"/><span class="lab"><font color="Green" title="E7">A25</font></span>: 
 <a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_3.html#K8" title="AMI_3:func.8">SCM-goto</a> <span class="p1">(<span class="default"><font color="Maroon" title="c6">loc</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span></span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_7"><span class="lab"><font color="Green" title="E6">A24</font></span></a>, <a class="ref" href="reloc.html#T1" target="_self" title="RELOC:th.1">Th1</a></span>;<br/><a NAME="E5:7_1_1_2_7"/><span class="lab"><font color="Green" title="E8">A26</font></span>: 
 <a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_3.html#K8" title="AMI_3:func.8">SCM-goto</a> <span class="p1">(<span class="default"><font color="Maroon" title="c6">loc</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Maroon" title="c2">j</font></span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_7"><span class="lab"><font color="Green" title="E6">A24</font></span></a>, <a class="ref" href="reloc.html#T1" target="_self" title="RELOC:th.1">Th1</a></span>;<br/><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="7_1_1_2_7_1"><span class="kw">now </span></a><div class="add"><span class="kw">let </span><font color="Maroon" title="c7">d</font> be    <a href="ami_3.html#M1" title="AMI_3:mode.1">Data-Location</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c7">d</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c7">d</font></span><br/><span class="kw">thus </span><span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c7">d</font> = 
<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c7">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:7_1_1_2_7"><span class="lab"><font color="Green" title="E7">A25</font></span></a>, <a class="ref" href="ami_3.html#T7" title="AMI_3:th.7">AMI_3:7</a></span>
<br/>.= 
<font color="Maroon" title="c5">s</font> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c7">d</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T16" title="AMI_5:th.16">AMI_5:16</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c7">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E5:7_1_1_2_7"><span class="lab"><font color="Green" title="E8">A26</font></span></a>, <a class="ref" href="ami_3.html#T7" title="AMI_3:th.7">AMI_3:7</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c7">d</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T16" title="AMI_5:th.16">AMI_5:16</a></span>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><span class="kw">hence </span><a NAME="E7:7_1_1_2_7"/>
 <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">k</font></span>)</span>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c3">k</font>)</span>)</span>) <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a>  <a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c3">k</font>)
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:7_1_1"><span class="lab"><font color="Green" title="E5">A1</font></span></a>, <a class="ref" href="ami_5.html#T25" title="AMI_5:th.25">AMI_5:25</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="7_1_1_2_8"><span class="kw">suppose </span></a><a NAME="E1:7_1_1_2_8"/>
 <a href="compos_1.html#K5" title="COMPOS_1:func.5">InsCode</a> <font color="Maroon" title="c1">INS</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 7
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">k</font></span>)</span>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c3">k</font>)</span>)</span>) <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a>  <a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c3">k</font>)</span><br/><div class="add"><span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c6">loc</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> , <font color="Maroon" title="c7">da</font> being    <a href="ami_3.html#M1" title="AMI_3:mode.1">Data-Location</a> <span class="kw"> such that </span><br/><a NAME="E3:7_1_1_2_8"/><span class="lab"><font color="Green" title="E6">A27</font></span>: 
<font color="Maroon" title="c1">INS</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c7">da</font> <a href="ami_3.html#K9" title="AMI_3:func.9">=0_goto</a> <font color="Maroon" title="c6">loc</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T14" title="AMI_5:th.14">AMI_5:14</a></span>;<br/><a NAME="E4:7_1_1_2_8"/><span class="lab"><font color="Green" title="E7">A28</font></span>: 
 <a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c7">da</font> <a href="ami_3.html#K9" title="AMI_3:func.9">=0_goto</a> <span class="p1">(<span class="default"><font color="Maroon" title="c6">loc</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span></span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_8"><span class="lab"><font color="Green" title="E6">A27</font></span></a>, <a class="ref" href="reloc.html#T2" target="_self" title="RELOC:th.2">Th2</a></span>;<br/><a NAME="E5:7_1_1_2_8"/><span class="lab"><font color="Green" title="E8">A29</font></span>: 
 <a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c7">da</font> <a href="ami_3.html#K9" title="AMI_3:func.9">=0_goto</a> <span class="p1">(<span class="default"><font color="Maroon" title="c6">loc</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Maroon" title="c2">j</font></span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_8"><span class="lab"><font color="Green" title="E6">A27</font></span></a>, <a class="ref" href="reloc.html#T2" target="_self" title="RELOC:th.2">Th2</a></span>;<br/><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="7_1_1_2_8_1"><span class="kw">now </span></a><div class="add"><span class="kw">let </span><font color="Maroon" title="c8">d</font> be    <a href="ami_3.html#M1" title="AMI_3:mode.1">Data-Location</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font></span><br/><span class="kw">thus </span><span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font> = 
<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:7_1_1_2_8"><span class="lab"><font color="Green" title="E7">A28</font></span></a>, <a class="ref" href="ami_3.html#T8" title="AMI_3:th.8">AMI_3:8</a></span>
<br/>.= 
<font color="Maroon" title="c5">s</font> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T16" title="AMI_5:th.16">AMI_5:16</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E5:7_1_1_2_8"><span class="lab"><font color="Green" title="E8">A29</font></span></a>, <a class="ref" href="ami_3.html#T8" title="AMI_3:th.8">AMI_3:8</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T16" title="AMI_5:th.16">AMI_5:16</a></span>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><span class="kw">hence </span><a NAME="E7:7_1_1_2_8"/>
 <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">k</font></span>)</span>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c3">k</font>)</span>)</span>) <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a>  <a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c3">k</font>)
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:7_1_1"><span class="lab"><font color="Green" title="E5">A1</font></span></a>, <a class="ref" href="ami_5.html#T25" title="AMI_5:th.25">AMI_5:25</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="7_1_1_2_9"><span class="kw">suppose </span></a><a NAME="E1:7_1_1_2_9"/>
 <a href="compos_1.html#K5" title="COMPOS_1:func.5">InsCode</a> <font color="Maroon" title="c1">INS</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 8
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">k</font></span>)</span>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c3">k</font>)</span>)</span>) <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a>  <a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c3">k</font>)</span><br/><div class="add"><span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c6">loc</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> , <font color="Maroon" title="c7">da</font> being    <a href="ami_3.html#M1" title="AMI_3:mode.1">Data-Location</a> <span class="kw"> such that </span><br/><a NAME="E3:7_1_1_2_9"/><span class="lab"><font color="Green" title="E6">A30</font></span>: 
<font color="Maroon" title="c1">INS</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c7">da</font> <a href="ami_3.html#K10" title="AMI_3:func.10">&gt;0_goto</a> <font color="Maroon" title="c6">loc</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T15" title="AMI_5:th.15">AMI_5:15</a></span>;<br/><a NAME="E4:7_1_1_2_9"/><span class="lab"><font color="Green" title="E7">A31</font></span>: 
 <a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c7">da</font> <a href="ami_3.html#K10" title="AMI_3:func.10">&gt;0_goto</a> <span class="p1">(<span class="default"><font color="Maroon" title="c6">loc</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span></span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_9"><span class="lab"><font color="Green" title="E6">A30</font></span></a>, <a class="ref" href="reloc.html#T3" target="_self" title="RELOC:th.3">Th3</a></span>;<br/><a NAME="E5:7_1_1_2_9"/><span class="lab"><font color="Green" title="E8">A32</font></span>: 
 <a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c7">da</font> <a href="ami_3.html#K10" title="AMI_3:func.10">&gt;0_goto</a> <span class="p1">(<span class="default"><font color="Maroon" title="c6">loc</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Maroon" title="c2">j</font></span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7_1_1_2_9"><span class="lab"><font color="Green" title="E6">A30</font></span></a>, <a class="ref" href="reloc.html#T3" target="_self" title="RELOC:th.3">Th3</a></span>;<br/><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="7_1_1_2_9_1"><span class="kw">now </span></a><div class="add"><span class="kw">let </span><font color="Maroon" title="c8">d</font> be    <a href="ami_3.html#M1" title="AMI_3:mode.1">Data-Location</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font></span><br/><span class="kw">thus </span><span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c4">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font> = 
<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:7_1_1_2_9"><span class="lab"><font color="Green" title="E7">A31</font></span></a>, <a class="ref" href="ami_3.html#T9" title="AMI_3:th.9">AMI_3:9</a></span>
<br/>.= 
<font color="Maroon" title="c5">s</font> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T16" title="AMI_5:th.16">AMI_5:16</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E5:7_1_1_2_9"><span class="lab"><font color="Green" title="E8">A32</font></span></a>, <a class="ref" href="ami_3.html#T9" title="AMI_3:th.9">AMI_3:9</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">.</a> <font color="Maroon" title="c8">d</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T16" title="AMI_5:th.16">AMI_5:16</a></span>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><span class="kw">hence </span><a NAME="E7:7_1_1_2_9"/>
 <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c2">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">k</font></span>)</span>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<font color="Maroon" title="c5">s</font>,<font color="Maroon" title="c3">k</font>)</span>)</span>) <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a>  <a href="memstr_0.html#K7" title="MEMSTR_0:func.7">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<font color="Maroon" title="c1">INS</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c5">s</font>)</span>)</span>,<font color="Maroon" title="c3">k</font>)
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:7_1_1"><span class="lab"><font color="Green" title="E5">A1</font></span></a>, <a class="ref" href="ami_5.html#T25" title="AMI_5:th.25">AMI_5:25</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div>

</div>
