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

<span class="kw">thus </span><a NAME="E1:46_1_1"/>
 <a href="ami_3.html#K1" title="AMI_3:func.1">SCM</a>  is  <a href="amistd_2.html#V4" title="AMISTD_2:attr.4">IC-relocable</a> 
  <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><div><a class="txt" onmouseover="tooltip.show('hs2',this)" onmouseout="tooltip.hide()" onclick="hs2(this)" href="javascript:()" title="46_1_1_1"><span class="kw">proof </span></a><div class="add">

<span class="kw">let </span><font color="Maroon" title="c1">I</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_2.html#D4" onmouseover="rs('amistd_2/D4')" onmouseout="rh()">AMISTD_2:def 4</a> <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c1">I</font> is  <a href="amistd_2.html#V3" title="AMISTD_2:attr.3">IC-relocable</a> </span><br/>

<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="46_1_1_1_1"><span class="kw">per </span></a><a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="kw">cases </span></a><span class="hide"><a NAME="E1:46_1_1_1_1"/>
( <font color="Maroon" title="c1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="xtuple_0.html#K3" title="XTUPLE_0:func.3">[</a><span class="default"><a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>,<a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a></span><a href="xtuple_0.html#K3" title="XTUPLE_0:func.3">]</a></span> or  ex <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</font> being   <a href="ami_3.html#NM1" title="AMI_3:NM.1">Data-Location</a> st <font color="Maroon" title="c1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">a</font> <a href="ami_3.html#K2" title="AMI_3:func.2">:=</a> <font color="Olive" title="b2">b</font> or  ex <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</font> being   <a href="ami_3.html#NM1" title="AMI_3:NM.1">Data-Location</a> st <font color="Maroon" title="c1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_3.html#K3" title="AMI_3:func.3">AddTo</a> (<font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font>) or  ex <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</font> being   <a href="ami_3.html#NM1" title="AMI_3:NM.1">Data-Location</a> st <font color="Maroon" title="c1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_3.html#K4" title="AMI_3:func.4">SubFrom</a> (<font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font>) or  ex <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</font> being   <a href="ami_3.html#NM1" title="AMI_3:NM.1">Data-Location</a> st <font color="Maroon" title="c1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_3.html#K5" title="AMI_3:func.5">MultBy</a> (<font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font>) or  ex <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</font> being   <a href="ami_3.html#NM1" title="AMI_3:NM.1">Data-Location</a> st <font color="Maroon" title="c1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_3.html#K6" title="AMI_3:func.6">Divide</a> (<font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font>) or  ex <font color="Olive" title="b1">k</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> st <font color="Maroon" title="c1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_3.html#K7" title="AMI_3:func.7">SCM-goto</a> <font color="Olive" title="b1">k</font> or  ex <font color="Olive" title="b1">a</font> being   <a href="ami_3.html#NM1" title="AMI_3:NM.1">Data-Location</a> ex <font color="Olive" title="b2">k</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> st <font color="Maroon" title="c1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">a</font> <a href="ami_3.html#K8" title="AMI_3:func.8">=0_goto</a> <font color="Olive" title="b2">k</font> or  ex <font color="Olive" title="b1">a</font> being   <a href="ami_3.html#NM1" title="AMI_3:NM.1">Data-Location</a> ex <font color="Olive" title="b2">k</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> st <font color="Maroon" title="c1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">a</font> <a href="ami_3.html#K9" title="AMI_3:func.9">&gt;0_goto</a> <font color="Olive" title="b2">k</font> )
 </span><span class="kw">by</span> <span class="lab"><a class="ref" href="ami_3.html#T24" onmouseover="rs('ami_3/T24')" onmouseout="rh()">AMI_3:24</a></span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="46_1_1_1_1_1"><span class="kw">suppose </span></a><a NAME="E1:46_1_1_1_1_1"/>
<font color="Maroon" title="c1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="xtuple_0.html#K3" title="XTUPLE_0:func.3">[</a><span class="default"><a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>,<a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a></span><a href="xtuple_0.html#K3" title="XTUPLE_0:func.3">]</a></span>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c1">I</font> is  <a href="amistd_2.html#V3" title="AMISTD_2:attr.3">IC-relocable</a> </span><br/><div class="add"><span class="kw">hence </span><a NAME="E2:46_1_1_1_1_1"/>
<font color="Maroon" title="c1">I</font> is  <a href="amistd_2.html#V3" title="AMISTD_2:attr.3">IC-relocable</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="ami_3.html#T26" onmouseover="rs('ami_3/T26')" onmouseout="rh()">AMI_3:26</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" 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="46_1_1_1_1_2"><span class="kw">suppose </span></a><a NAME="E1:46_1_1_1_1_2"/>
 ex <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</font> being   <a href="ami_3.html#NM1" title="AMI_3:NM.1">Data-Location</a> st <font color="Maroon" title="c1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">a</font> <a href="ami_3.html#K2" title="AMI_3:func.2">:=</a> <font color="Olive" title="b2">b</font>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c1">I</font> is  <a href="amistd_2.html#V3" title="AMISTD_2:attr.3">IC-relocable</a> </span><br/><div class="add"><span class="kw">hence </span><a NAME="E2:46_1_1_1_1_2"/>
<font color="Maroon" title="c1">I</font> is  <a href="amistd_2.html#V3" title="AMISTD_2:attr.3">IC-relocable</a> 
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" 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="46_1_1_1_1_3"><span class="kw">suppose </span></a><a NAME="E1:46_1_1_1_1_3"/>
 ex <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</font> being   <a href="ami_3.html#NM1" title="AMI_3:NM.1">Data-Location</a> st <font color="Maroon" title="c1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_3.html#K3" title="AMI_3:func.3">AddTo</a> (<font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font>)
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c1">I</font> is  <a href="amistd_2.html#V3" title="AMISTD_2:attr.3">IC-relocable</a> </span><br/><div class="add"><span class="kw">hence </span><a NAME="E2:46_1_1_1_1_3"/>
<font color="Maroon" title="c1">I</font> is  <a href="amistd_2.html#V3" title="AMISTD_2:attr.3">IC-relocable</a> 
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" 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="46_1_1_1_1_4"><span class="kw">suppose </span></a><a NAME="E1:46_1_1_1_1_4"/>
 ex <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</font> being   <a href="ami_3.html#NM1" title="AMI_3:NM.1">Data-Location</a> st <font color="Maroon" title="c1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_3.html#K4" title="AMI_3:func.4">SubFrom</a> (<font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font>)
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c1">I</font> is  <a href="amistd_2.html#V3" title="AMISTD_2:attr.3">IC-relocable</a> </span><br/><div class="add"><span class="kw">hence </span><a NAME="E2:46_1_1_1_1_4"/>
<font color="Maroon" title="c1">I</font> is  <a href="amistd_2.html#V3" title="AMISTD_2:attr.3">IC-relocable</a> 
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" 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="46_1_1_1_1_5"><span class="kw">suppose </span></a><a NAME="E1:46_1_1_1_1_5"/>
 ex <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</font> being   <a href="ami_3.html#NM1" title="AMI_3:NM.1">Data-Location</a> st <font color="Maroon" title="c1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_3.html#K5" title="AMI_3:func.5">MultBy</a> (<font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font>)
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c1">I</font> is  <a href="amistd_2.html#V3" title="AMISTD_2:attr.3">IC-relocable</a> </span><br/><div class="add"><span class="kw">hence </span><a NAME="E2:46_1_1_1_1_5"/>
<font color="Maroon" title="c1">I</font> is  <a href="amistd_2.html#V3" title="AMISTD_2:attr.3">IC-relocable</a> 
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" 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="46_1_1_1_1_6"><span class="kw">suppose </span></a><a NAME="E1:46_1_1_1_1_6"/>
 ex <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</font> being   <a href="ami_3.html#NM1" title="AMI_3:NM.1">Data-Location</a> st <font color="Maroon" title="c1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_3.html#K6" title="AMI_3:func.6">Divide</a> (<font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font>)
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c1">I</font> is  <a href="amistd_2.html#V3" title="AMISTD_2:attr.3">IC-relocable</a> </span><br/><div class="add"><span class="kw">hence </span><a NAME="E2:46_1_1_1_1_6"/>
<font color="Maroon" title="c1">I</font> is  <a href="amistd_2.html#V3" title="AMISTD_2:attr.3">IC-relocable</a> 
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" 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="46_1_1_1_1_7"><span class="kw">suppose </span></a><a NAME="E1:46_1_1_1_1_7"/><span class="lab"><font color="Green" title="E18">A1</font></span>: 
 ex <font color="Olive" title="b1">k</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> st <font color="Maroon" title="c1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_3.html#K7" title="AMI_3:func.7">SCM-goto</a> <font color="Olive" title="b1">k</font>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c1">I</font> is  <a href="amistd_2.html#V3" title="AMISTD_2:attr.3">IC-relocable</a> </span><br/><div class="add"><span class="kw">let </span><font color="Maroon" title="c2">j</font>, <font color="Maroon" title="c3">k</font> be   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>; <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="amistd_2.html#D3" onmouseover="rs('amistd_2/D3')" onmouseout="rh()">AMISTD_2:def 3</a> <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" 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#M2" title="HIDDEN:mode.2">set</a>  holds  <span class="p1">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">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_0.html#K8" title="COMPOS_0:func.8">IncAddr</a> (<font color="Maroon" title="c1">I</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Olive">b<sub>1</sub></font>)</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">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_0.html#K8" title="COMPOS_0:func.8">IncAddr</a> (<font color="Maroon" title="c1">I</font>,<span class="p3">(<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="p2">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Olive">b<sub>1</sub></font>,<font color="Maroon" title="c3">k</font>)</span>)</span>)</span>)</span></span><br/><span class="kw">let </span><font color="Maroon" title="c4">s1</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" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" 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="memstr_0.html#K5" title="MEMSTR_0:func.5">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_0.html#K8" title="COMPOS_0:func.8">IncAddr</a> (<font color="Maroon" title="c1">I</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c4">s1</font>)</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">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_0.html#K8" title="COMPOS_0:func.8">IncAddr</a> (<font color="Maroon" title="c1">I</font>,<span class="p3">(<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="p2">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c4">s1</font>,<font color="Maroon" title="c3">k</font>)</span>)</span>)</span>)</span></span><br/><span class="kw">set </span><font color="Maroon" title="c5">s2</font> =  <a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c4">s1</font>,<font color="Maroon" title="c3">k</font>);<br/><span class="kw">consider </span><font color="Maroon" title="c6">k1</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><span class="kw"> such that </span><br/><a NAME="E3:46_1_1_1_1_7"/><span class="lab"><font color="Green" title="E19">A2</font></span>: 
<font color="Maroon" title="c1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_3.html#K7" title="AMI_3:func.7">SCM-goto</a> <font color="Maroon" title="c6">k1</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:46_1_1_1_1_7"><span class="lab"><font color="Green" title="E18">A1</font></span></a></span>;<br/><span class="kw">reconsider </span><font color="Maroon" title="c7">i1</font> = <font color="Maroon" title="c6">k1</font> as    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>  <span class="kw">by</span> <span class="lab"><a class="ref" href="ordinal1.html#D12" onmouseover="rs('ordinal1/D12')" onmouseout="rh()">ORDINAL1:def 12</a></span>;<br/><span class="kw">thus </span><span class="p1">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">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_0.html#K8" title="COMPOS_0:func.8">IncAddr</a> (<font color="Maroon" title="c1">I</font>,<font color="Maroon" title="c2">j</font>)</span>)</span>,<font color="Maroon" title="c4">s1</font>)</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">k</font> = 
<span class="p1">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">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="ami_3.html#K7" title="AMI_3:func.7">SCM-goto</a> <span class="p4">(<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="c6">k1</font></span>)</span></span>)</span>,<font color="Maroon" title="c4">s1</font>)</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">k</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:46_1_1_1_1_7"><span class="lab"><font color="Green" title="E19">A2</font></span></a>, <a class="ref" href="ami_6.html#T23" target="_self" onmouseover="rs('ami_6/T23')" onmouseout="rh()">Th23</a></span>
<br/>.= 
<span class="p1">(<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="c6">k1</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">k</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_3.html#T7" onmouseover="rs('ami_3/T7')" onmouseout="rh()">AMI_3:7</a></span>
<br/>.= 
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">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="ami_3.html#K7" title="AMI_3:func.7">SCM-goto</a> <span class="p3">(<span class="default"><span class="p4">(<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="c7">i1</font></span>)</span> <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="p2">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c4">s1</font>,<font color="Maroon" title="c3">k</font>)</span>)</span>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_3.html#T7" onmouseover="rs('ami_3/T7')" onmouseout="rh()">AMI_3:7</a></span>
<br/>.= 
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">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="ami_3.html#K7" title="AMI_3:func.7">SCM-goto</a> <span class="p3">(<span class="default"><span class="p4">(<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> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c7">i1</font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c4">s1</font>,<font color="Maroon" title="c3">k</font>)</span>)</span>)</span>)</span>

<br/>.= 
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">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_0.html#K8" title="COMPOS_0:func.8">IncAddr</a> (<font color="Maroon" title="c1">I</font>,<span class="p3">(<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="p2">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c4">s1</font>,<font color="Maroon" title="c3">k</font>)</span>)</span>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:46_1_1_1_1_7"><span class="lab"><font color="Green" title="E19">A2</font></span></a>, <a class="ref" href="ami_6.html#T23" target="_self" onmouseover="rs('ami_6/T23')" onmouseout="rh()">Th23</a></span>
; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" 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="46_1_1_1_1_8"><span class="kw">suppose </span></a><a NAME="E1:46_1_1_1_1_8"/>
 ex <font color="Olive" title="b1">a</font> being   <a href="ami_3.html#NM1" title="AMI_3:NM.1">Data-Location</a> ex <font color="Olive" title="b2">k</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> st <font color="Maroon" title="c1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">a</font> <a href="ami_3.html#K8" title="AMI_3:func.8">=0_goto</a> <font color="Olive" title="b2">k</font>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c1">I</font> is  <a href="amistd_2.html#V3" title="AMISTD_2:attr.3">IC-relocable</a> </span><br/><div class="add"><span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c2">a</font> being   <a href="ami_3.html#NM1" title="AMI_3:NM.1">Data-Location</a>, <font color="Maroon" title="c3">k1</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><span class="kw"> such that </span><br/><a NAME="E3:46_1_1_1_1_8"/><span class="lab"><font color="Green" title="E18">A3</font></span>: 
<font color="Maroon" title="c1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">a</font> <a href="ami_3.html#K8" title="AMI_3:func.8">=0_goto</a> <font color="Maroon" title="c3">k1</font>
 ;<br/><span class="kw">reconsider </span><font color="Maroon" title="c4">i1</font> = <font color="Maroon" title="c3">k1</font> as    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>  <span class="kw">by</span> <span class="lab"><a class="ref" href="ordinal1.html#D12" onmouseover="rs('ordinal1/D12')" onmouseout="rh()">ORDINAL1:def 12</a></span>;<br/><span class="kw">let </span><font color="Maroon" title="c5">j</font>, <font color="Maroon" title="c6">k</font> be   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>; <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="amistd_2.html#D3" onmouseover="rs('amistd_2/D3')" onmouseout="rh()">AMISTD_2:def 3</a> <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" 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#M2" title="HIDDEN:mode.2">set</a>  holds  <span class="p1">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">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_0.html#K8" title="COMPOS_0:func.8">IncAddr</a> (<font color="Maroon" title="c1">I</font>,<font color="Maroon" title="c5">j</font>)</span>)</span>,<font color="Olive">b<sub>1</sub></font>)</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">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_0.html#K8" title="COMPOS_0:func.8">IncAddr</a> (<font color="Maroon" title="c1">I</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c5">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Olive">b<sub>1</sub></font>,<font color="Maroon" title="c6">k</font>)</span>)</span>)</span>)</span></span><br/><span class="kw">let </span><font color="Maroon" title="c7">s1</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" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" 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="memstr_0.html#K5" title="MEMSTR_0:func.5">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_0.html#K8" title="COMPOS_0:func.8">IncAddr</a> (<font color="Maroon" title="c1">I</font>,<font color="Maroon" title="c5">j</font>)</span>)</span>,<font color="Maroon" title="c7">s1</font>)</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">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_0.html#K8" title="COMPOS_0:func.8">IncAddr</a> (<font color="Maroon" title="c1">I</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c5">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c7">s1</font>,<font color="Maroon" title="c6">k</font>)</span>)</span>)</span>)</span></span><br/><span class="kw">set </span><font color="Maroon" title="c8">s2</font> =  <a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c7">s1</font>,<font color="Maroon" title="c6">k</font>);<br/><a NAME="E5:46_1_1_1_1_8"/>
( <font color="Maroon" title="c2">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="memstr_0.html#NK2" title="MEMSTR_0:NK.2">IC</a>  &amp;  <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="memstr_0.html#NK2" title="MEMSTR_0:NK.2">IC</a> </span>)</span> <a href="funcop_1.html#K17" title="FUNCOP_1:func.17">.--&gt;</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c7">s1</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><span class="p2">(<span class="default"><a href="memstr_0.html#NK2" title="MEMSTR_0:NK.2">IC</a> </span>)</span></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span> )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T2" onmouseover="rs('ami_5/T2')" onmouseout="rh()">AMI_5:2</a></span>;<br/><a NAME="E6:46_1_1_1_1_8"/><span class="kw">then </span>
 not <font color="Maroon" title="c2">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="memstr_0.html#NK2" title="MEMSTR_0:NK.2">IC</a> </span>)</span> <a href="funcop_1.html#K17" title="FUNCOP_1:func.17">.--&gt;</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c7">s1</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font></span>)</span></span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="tarski.html#D1" onmouseover="rs('tarski/D1')" onmouseout="rh()">TARSKI:def 1</a></span>;<br/><a NAME="E7:46_1_1_1_1_8"/><span class="kw">then </span><span class="lab"><font color="Green" title="E19">A4</font></span>: 
<font color="Maroon" title="c7">s1</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c2">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c7">s1</font>,<font color="Maroon" title="c6">k</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c2">a</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="funct_4.html#T11" onmouseover="rs('funct_4/T11')" onmouseout="rh()">FUNCT_4:11</a></span>;<br/><div><a class="txt" onmouseover="tooltip.show('hs2',this)" onmouseout="tooltip.hide()" onclick="hs2(this)" href="javascript:()" title="46_1_1_1_1_8_1"><span class="kw">now </span> <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" 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="memstr_0.html#K5" title="MEMSTR_0:func.5">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_0.html#K8" title="COMPOS_0:func.8">IncAddr</a> (<font color="Maroon" title="c1">I</font>,<font color="Maroon" title="c5">j</font>)</span>)</span>,<font color="Maroon" title="c7">s1</font>)</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">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_0.html#K8" title="COMPOS_0:func.8">IncAddr</a> (<font color="Maroon" title="c1">I</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c5">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c7">s1</font>,<font color="Maroon" title="c6">k</font>)</span>)</span>)</span>)</span></span></a><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="46_1_1_1_1_8_1_1"><span class="kw">per </span></a><a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="kw">cases </span></a><span class="hide"><a NAME="E1:46_1_1_1_1_8_1_1"/>
( <font color="Maroon" title="c7">s1</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c2">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  or <font color="Maroon" title="c7">s1</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c2">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="46_1_1_1_1_8_1_1_1"><span class="kw">suppose </span></a><a NAME="E1:46_1_1_1_1_8_1_1_1"/><span class="lab"><font color="Green" title="E20">A5</font></span>: 
<font color="Maroon" title="c7">s1</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c2">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> 
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" 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="memstr_0.html#K5" title="MEMSTR_0:func.5">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_0.html#K8" title="COMPOS_0:func.8">IncAddr</a> (<font color="Maroon" title="c1">I</font>,<font color="Maroon" title="c5">j</font>)</span>)</span>,<font color="Maroon" title="c7">s1</font>)</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">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_0.html#K8" title="COMPOS_0:func.8">IncAddr</a> (<font color="Maroon" title="c1">I</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c5">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c7">s1</font>,<font color="Maroon" title="c6">k</font>)</span>)</span>)</span>)</span></span><br/><div class="add"><span class="kw">thus </span><span class="p1">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">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_0.html#K8" title="COMPOS_0:func.8">IncAddr</a> (<font color="Maroon" title="c1">I</font>,<font color="Maroon" title="c5">j</font>)</span>)</span>,<font color="Maroon" title="c7">s1</font>)</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font> = 
<span class="p1">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">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"><font color="Maroon" title="c2">a</font> <a href="ami_3.html#K8" title="AMI_3:func.8">=0_goto</a> <span class="p4">(<span class="default"><font color="Maroon" title="c5">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">k1</font></span>)</span></span>)</span>,<font color="Maroon" title="c7">s1</font>)</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:46_1_1_1_1_8"><span class="lab"><font color="Green" title="E18">A3</font></span></a>, <a class="ref" href="ami_6.html#T24" target="_self" onmouseover="rs('ami_6/T24')" onmouseout="rh()">Th24</a></span>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c5">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">k1</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:46_1_1_1_1_8_1_1_1"><span class="lab"><font color="Green" title="E20">A5</font></span></a>, <a class="ref" href="ami_3.html#T8" onmouseover="rs('ami_3/T8')" onmouseout="rh()">AMI_3:8</a></span>
<br/>.= 
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">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"><font color="Maroon" title="c2">a</font> <a href="ami_3.html#K8" title="AMI_3:func.8">=0_goto</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon" title="c5">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c4">i1</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c7">s1</font>,<font color="Maroon" title="c6">k</font>)</span>)</span>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E7:46_1_1_1_1_8"><span class="lab"><font color="Green" title="E19">A4</font></span></a>, <a class="txt" href="#E1:46_1_1_1_1_8_1_1_1"><span class="lab"><font color="Green" title="E20">A5</font></span></a>, <a class="ref" href="ami_3.html#T8" onmouseover="rs('ami_3/T8')" onmouseout="rh()">AMI_3:8</a></span>
<br/>.= 
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">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"><font color="Maroon" title="c2">a</font> <a href="ami_3.html#K8" title="AMI_3:func.8">=0_goto</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon" title="c5">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c4">i1</font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c7">s1</font>,<font color="Maroon" title="c6">k</font>)</span>)</span>)</span>)</span>

<br/>.= 
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">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_0.html#K8" title="COMPOS_0:func.8">IncAddr</a> (<font color="Maroon" title="c1">I</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c5">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c7">s1</font>,<font color="Maroon" title="c6">k</font>)</span>)</span>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:46_1_1_1_1_8"><span class="lab"><font color="Green" title="E18">A3</font></span></a>, <a class="ref" href="ami_6.html#T24" target="_self" onmouseover="rs('ami_6/T24')" onmouseout="rh()">Th24</a></span>
; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" 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="46_1_1_1_1_8_1_1_2"><span class="kw">suppose </span></a><a NAME="E1:46_1_1_1_1_8_1_1_2"/><span class="lab"><font color="Green" title="E20">A6</font></span>: 
<font color="Maroon" title="c7">s1</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c2">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> 
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" 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="memstr_0.html#K5" title="MEMSTR_0:func.5">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_0.html#K8" title="COMPOS_0:func.8">IncAddr</a> (<font color="Maroon" title="c1">I</font>,<font color="Maroon" title="c5">j</font>)</span>)</span>,<font color="Maroon" title="c7">s1</font>)</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">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_0.html#K8" title="COMPOS_0:func.8">IncAddr</a> (<font color="Maroon" title="c1">I</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c5">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c7">s1</font>,<font color="Maroon" title="c6">k</font>)</span>)</span>)</span>)</span></span><br/><div class="add"><a NAME="E2:46_1_1_1_1_8_1_1_2"/><span class="lab"><font color="Green" title="E21">A7</font></span>: 
 <a href="compos_0.html#K8" title="COMPOS_0:func.8">IncAddr</a> (<font color="Maroon" title="c1">I</font>,<font color="Maroon" title="c5">j</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">a</font> <a href="ami_3.html#K8" title="AMI_3:func.8">=0_goto</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">i1</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c5">j</font></span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:46_1_1_1_1_8"><span class="lab"><font color="Green" title="E18">A3</font></span></a>, <a class="ref" href="ami_6.html#T24" target="_self" onmouseover="rs('ami_6/T24')" onmouseout="rh()">Th24</a></span>;<br/><a NAME="E3:46_1_1_1_1_8_1_1_2"/><span class="lab"><font color="Green" title="E22">A8</font></span>: 
 <a href="compos_0.html#K8" title="COMPOS_0:func.8">IncAddr</a> (<font color="Maroon" title="c1">I</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c5">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font></span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">a</font> <a href="ami_3.html#K8" title="AMI_3:func.8">=0_goto</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">i1</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p2">(<span class="default"><font color="Maroon" title="c5">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font></span>)</span></span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:46_1_1_1_1_8"><span class="lab"><font color="Green" title="E18">A3</font></span></a>, <a class="ref" href="ami_6.html#T24" target="_self" onmouseover="rs('ami_6/T24')" onmouseout="rh()">Th24</a></span>;<br/><a NAME="E4:46_1_1_1_1_8_1_1_2"/>
 <a href="memstr_0.html#NK2" title="MEMSTR_0:NK.2">IC</a>  <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="memstr_0.html#NK2" title="MEMSTR_0:NK.2">IC</a> </span>)</span> <a href="funcop_1.html#K17" title="FUNCOP_1:func.17">.--&gt;</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c7">s1</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font></span>)</span></span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="tarski.html#D1" onmouseover="rs('tarski/D1')" onmouseout="rh()">TARSKI:def 1</a></span>;<br/><span class="kw">then </span><span class="lab"><font color="Green" title="E23">A9</font></span>:  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c7">s1</font>,<font color="Maroon" title="c6">k</font>)</span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="memstr_0.html#NK2" title="MEMSTR_0:NK.2">IC</a> </span>)</span> <a href="funcop_1.html#K17" title="FUNCOP_1:func.17">.--&gt;</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c7">s1</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font></span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="memstr_0.html#NK2" title="MEMSTR_0:NK.2">IC</a> </span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="funct_4.html#T13" onmouseover="rs('funct_4/T13')" onmouseout="rh()">FUNCT_4:13</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c7">s1</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="funcop_1.html#T72" onmouseover="rs('funcop_1/T72')" onmouseout="rh()">FUNCOP_1:72</a></span>
;<br/><span class="kw">thus </span><span class="p1">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">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_0.html#K8" title="COMPOS_0:func.8">IncAddr</a> (<font color="Maroon" title="c1">I</font>,<font color="Maroon" title="c5">j</font>)</span>)</span>,<font color="Maroon" title="c7">s1</font>)</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c7">s1</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1</span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:46_1_1_1_1_8_1_1_2"><span class="lab"><font color="Green" title="E21">A7</font></span></a>, <a class="txt" href="#E1:46_1_1_1_1_8_1_1_2"><span class="lab"><font color="Green" title="E20">A6</font></span></a>, <a class="ref" href="ami_3.html#T8" onmouseover="rs('ami_3/T8')" onmouseout="rh()">AMI_3:8</a></span>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c7">s1</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1</span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font>

<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p2">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c7">s1</font>,<font color="Maroon" title="c6">k</font>)</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E5:46_1_1_1_1_8_1_1_2"><span class="lab"><font color="Green" title="E23">A9</font></span></a></span>
<br/>.= 
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">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_0.html#K8" title="COMPOS_0:func.8">IncAddr</a> (<font color="Maroon" title="c1">I</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c5">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c7">s1</font>,<font color="Maroon" title="c6">k</font>)</span>)</span>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:46_1_1_1_1_8_1_1_2"><span class="lab"><font color="Green" title="E22">A8</font></span></a>, <a class="txt" href="#E1:46_1_1_1_1_8_1_1_2"><span class="lab"><font color="Green" title="E20">A6</font></span></a>, <a class="txt" href="#E7:46_1_1_1_1_8"><span class="lab"><font color="Green" title="E19">A4</font></span></a>, <a class="ref" href="ami_3.html#T8" onmouseover="rs('ami_3/T8')" onmouseout="rh()">AMI_3:8</a></span>
; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" 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="E9:46_1_1_1_1_8"/>
<span class="p1">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">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_0.html#K8" title="COMPOS_0:func.8">IncAddr</a> (<font color="Maroon" title="c1">I</font>,<font color="Maroon" title="c5">j</font>)</span>)</span>,<font color="Maroon" title="c7">s1</font>)</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">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_0.html#K8" title="COMPOS_0:func.8">IncAddr</a> (<font color="Maroon" title="c1">I</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c5">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c7">s1</font>,<font color="Maroon" title="c6">k</font>)</span>)</span>)</span>)</span>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" 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="46_1_1_1_1_9"><span class="kw">suppose </span></a><a NAME="E1:46_1_1_1_1_9"/>
 ex <font color="Olive" title="b1">a</font> being   <a href="ami_3.html#NM1" title="AMI_3:NM.1">Data-Location</a> ex <font color="Olive" title="b2">k</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> st <font color="Maroon" title="c1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">a</font> <a href="ami_3.html#K9" title="AMI_3:func.9">&gt;0_goto</a> <font color="Olive" title="b2">k</font>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c1">I</font> is  <a href="amistd_2.html#V3" title="AMISTD_2:attr.3">IC-relocable</a> </span><br/><div class="add"><span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c2">a</font> being   <a href="ami_3.html#NM1" title="AMI_3:NM.1">Data-Location</a>, <font color="Maroon" title="c3">k1</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><span class="kw"> such that </span><br/><a NAME="E3:46_1_1_1_1_9"/><span class="lab"><font color="Green" title="E18">A10</font></span>: 
<font color="Maroon" title="c1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">a</font> <a href="ami_3.html#K9" title="AMI_3:func.9">&gt;0_goto</a> <font color="Maroon" title="c3">k1</font>
 ;<br/><span class="kw">reconsider </span><font color="Maroon" title="c4">i1</font> = <font color="Maroon" title="c3">k1</font> as    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>  <span class="kw">by</span> <span class="lab"><a class="ref" href="ordinal1.html#D12" onmouseover="rs('ordinal1/D12')" onmouseout="rh()">ORDINAL1:def 12</a></span>;<br/><span class="kw">let </span><font color="Maroon" title="c5">j</font>, <font color="Maroon" title="c6">k</font> be   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>; <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="amistd_2.html#D3" onmouseover="rs('amistd_2/D3')" onmouseout="rh()">AMISTD_2:def 3</a> <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" 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#M2" title="HIDDEN:mode.2">set</a>  holds  <span class="p1">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">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_0.html#K8" title="COMPOS_0:func.8">IncAddr</a> (<font color="Maroon" title="c1">I</font>,<font color="Maroon" title="c5">j</font>)</span>)</span>,<font color="Olive">b<sub>1</sub></font>)</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">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_0.html#K8" title="COMPOS_0:func.8">IncAddr</a> (<font color="Maroon" title="c1">I</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c5">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Olive">b<sub>1</sub></font>,<font color="Maroon" title="c6">k</font>)</span>)</span>)</span>)</span></span><br/><span class="kw">let </span><font color="Maroon" title="c7">s1</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" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" 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="memstr_0.html#K5" title="MEMSTR_0:func.5">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_0.html#K8" title="COMPOS_0:func.8">IncAddr</a> (<font color="Maroon" title="c1">I</font>,<font color="Maroon" title="c5">j</font>)</span>)</span>,<font color="Maroon" title="c7">s1</font>)</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">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_0.html#K8" title="COMPOS_0:func.8">IncAddr</a> (<font color="Maroon" title="c1">I</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c5">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c7">s1</font>,<font color="Maroon" title="c6">k</font>)</span>)</span>)</span>)</span></span><br/><span class="kw">set </span><font color="Maroon" title="c8">s2</font> =  <a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c7">s1</font>,<font color="Maroon" title="c6">k</font>);<br/><a NAME="E5:46_1_1_1_1_9"/>
( <font color="Maroon" title="c2">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="memstr_0.html#NK2" title="MEMSTR_0:NK.2">IC</a>  &amp;  <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="memstr_0.html#NK2" title="MEMSTR_0:NK.2">IC</a> </span>)</span> <a href="funcop_1.html#K17" title="FUNCOP_1:func.17">.--&gt;</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c7">s1</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><span class="p2">(<span class="default"><a href="memstr_0.html#NK2" title="MEMSTR_0:NK.2">IC</a> </span>)</span></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span> )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="ami_5.html#T2" onmouseover="rs('ami_5/T2')" onmouseout="rh()">AMI_5:2</a></span>;<br/><a NAME="E6:46_1_1_1_1_9"/><span class="kw">then </span>
 not <font color="Maroon" title="c2">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="memstr_0.html#NK2" title="MEMSTR_0:NK.2">IC</a> </span>)</span> <a href="funcop_1.html#K17" title="FUNCOP_1:func.17">.--&gt;</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c7">s1</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font></span>)</span></span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="tarski.html#D1" onmouseover="rs('tarski/D1')" onmouseout="rh()">TARSKI:def 1</a></span>;<br/><a NAME="E7:46_1_1_1_1_9"/><span class="kw">then </span><span class="lab"><font color="Green" title="E19">A11</font></span>: 
<font color="Maroon" title="c7">s1</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c2">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c7">s1</font>,<font color="Maroon" title="c6">k</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c2">a</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="funct_4.html#T11" onmouseover="rs('funct_4/T11')" onmouseout="rh()">FUNCT_4:11</a></span>;<br/><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="46_1_1_1_1_9_1"><span class="kw">per </span></a><a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="kw">cases </span></a><span class="hide"><a NAME="E1:46_1_1_1_1_9_1"/>
( <font color="Maroon" title="c7">s1</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c2">a</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  or <font color="Maroon" title="c7">s1</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c2">a</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="46_1_1_1_1_9_1_1"><span class="kw">suppose </span></a><a NAME="E1:46_1_1_1_1_9_1_1"/><span class="lab"><font color="Green" title="E20">A12</font></span>: 
<font color="Maroon" title="c7">s1</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c2">a</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> 
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" 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="memstr_0.html#K5" title="MEMSTR_0:func.5">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_0.html#K8" title="COMPOS_0:func.8">IncAddr</a> (<font color="Maroon" title="c1">I</font>,<font color="Maroon" title="c5">j</font>)</span>)</span>,<font color="Maroon" title="c7">s1</font>)</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">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_0.html#K8" title="COMPOS_0:func.8">IncAddr</a> (<font color="Maroon" title="c1">I</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c5">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c7">s1</font>,<font color="Maroon" title="c6">k</font>)</span>)</span>)</span>)</span></span><br/><div class="add"><span class="kw">thus </span><span class="p1">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">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_0.html#K8" title="COMPOS_0:func.8">IncAddr</a> (<font color="Maroon" title="c1">I</font>,<font color="Maroon" title="c5">j</font>)</span>)</span>,<font color="Maroon" title="c7">s1</font>)</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font> = 
<span class="p1">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">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"><font color="Maroon" title="c2">a</font> <a href="ami_3.html#K9" title="AMI_3:func.9">&gt;0_goto</a> <span class="p4">(<span class="default"><font color="Maroon" title="c5">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">k1</font></span>)</span></span>)</span>,<font color="Maroon" title="c7">s1</font>)</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:46_1_1_1_1_9"><span class="lab"><font color="Green" title="E18">A10</font></span></a>, <a class="ref" href="ami_6.html#T25" target="_self" onmouseover="rs('ami_6/T25')" onmouseout="rh()">Th25</a></span>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c5">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">k1</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:46_1_1_1_1_9_1_1"><span class="lab"><font color="Green" title="E20">A12</font></span></a>, <a class="ref" href="ami_3.html#T9" onmouseover="rs('ami_3/T9')" onmouseout="rh()">AMI_3:9</a></span>
<br/>.= 
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">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"><font color="Maroon" title="c2">a</font> <a href="ami_3.html#K9" title="AMI_3:func.9">&gt;0_goto</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon" title="c5">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c4">i1</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c7">s1</font>,<font color="Maroon" title="c6">k</font>)</span>)</span>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E7:46_1_1_1_1_9"><span class="lab"><font color="Green" title="E19">A11</font></span></a>, <a class="txt" href="#E1:46_1_1_1_1_9_1_1"><span class="lab"><font color="Green" title="E20">A12</font></span></a>, <a class="ref" href="ami_3.html#T9" onmouseover="rs('ami_3/T9')" onmouseout="rh()">AMI_3:9</a></span>
<br/>.= 
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">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"><font color="Maroon" title="c2">a</font> <a href="ami_3.html#K9" title="AMI_3:func.9">&gt;0_goto</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon" title="c5">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c4">i1</font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c7">s1</font>,<font color="Maroon" title="c6">k</font>)</span>)</span>)</span>)</span>

<br/>.= 
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">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_0.html#K8" title="COMPOS_0:func.8">IncAddr</a> (<font color="Maroon" title="c1">I</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c5">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c7">s1</font>,<font color="Maroon" title="c6">k</font>)</span>)</span>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:46_1_1_1_1_9"><span class="lab"><font color="Green" title="E18">A10</font></span></a>, <a class="ref" href="ami_6.html#T25" target="_self" onmouseover="rs('ami_6/T25')" onmouseout="rh()">Th25</a></span>
; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" 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="46_1_1_1_1_9_1_2"><span class="kw">suppose </span></a><a NAME="E1:46_1_1_1_1_9_1_2"/><span class="lab"><font color="Green" title="E20">A13</font></span>: 
<font color="Maroon" title="c7">s1</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c2">a</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> 
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" 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="memstr_0.html#K5" title="MEMSTR_0:func.5">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_0.html#K8" title="COMPOS_0:func.8">IncAddr</a> (<font color="Maroon" title="c1">I</font>,<font color="Maroon" title="c5">j</font>)</span>)</span>,<font color="Maroon" title="c7">s1</font>)</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">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_0.html#K8" title="COMPOS_0:func.8">IncAddr</a> (<font color="Maroon" title="c1">I</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c5">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c7">s1</font>,<font color="Maroon" title="c6">k</font>)</span>)</span>)</span>)</span></span><br/><div class="add"><a NAME="E2:46_1_1_1_1_9_1_2"/><span class="lab"><font color="Green" title="E21">A14</font></span>: 
 <a href="compos_0.html#K8" title="COMPOS_0:func.8">IncAddr</a> (<font color="Maroon" title="c1">I</font>,<font color="Maroon" title="c5">j</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">a</font> <a href="ami_3.html#K9" title="AMI_3:func.9">&gt;0_goto</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">i1</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c5">j</font></span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:46_1_1_1_1_9"><span class="lab"><font color="Green" title="E18">A10</font></span></a>, <a class="ref" href="ami_6.html#T25" target="_self" onmouseover="rs('ami_6/T25')" onmouseout="rh()">Th25</a></span>;<br/><a NAME="E3:46_1_1_1_1_9_1_2"/><span class="lab"><font color="Green" title="E22">A15</font></span>: 
 <a href="compos_0.html#K8" title="COMPOS_0:func.8">IncAddr</a> (<font color="Maroon" title="c1">I</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c5">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font></span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">a</font> <a href="ami_3.html#K9" title="AMI_3:func.9">&gt;0_goto</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">i1</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p2">(<span class="default"><font color="Maroon" title="c5">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font></span>)</span></span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:46_1_1_1_1_9"><span class="lab"><font color="Green" title="E18">A10</font></span></a>, <a class="ref" href="ami_6.html#T25" target="_self" onmouseover="rs('ami_6/T25')" onmouseout="rh()">Th25</a></span>;<br/><a NAME="E4:46_1_1_1_1_9_1_2"/>
 <a href="memstr_0.html#NK2" title="MEMSTR_0:NK.2">IC</a>  <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="memstr_0.html#NK2" title="MEMSTR_0:NK.2">IC</a> </span>)</span> <a href="funcop_1.html#K17" title="FUNCOP_1:func.17">.--&gt;</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c7">s1</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font></span>)</span></span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="tarski.html#D1" onmouseover="rs('tarski/D1')" onmouseout="rh()">TARSKI:def 1</a></span>;<br/><span class="kw">then </span><span class="lab"><font color="Green" title="E23">A16</font></span>:  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c7">s1</font>,<font color="Maroon" title="c6">k</font>)</span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="memstr_0.html#NK2" title="MEMSTR_0:NK.2">IC</a> </span>)</span> <a href="funcop_1.html#K17" title="FUNCOP_1:func.17">.--&gt;</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c7">s1</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font></span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="memstr_0.html#NK2" title="MEMSTR_0:NK.2">IC</a> </span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="funct_4.html#T13" onmouseover="rs('funct_4/T13')" onmouseout="rh()">FUNCT_4:13</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c7">s1</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="funcop_1.html#T72" onmouseover="rs('funcop_1/T72')" onmouseout="rh()">FUNCOP_1:72</a></span>
;<br/><span class="kw">thus </span><span class="p1">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">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_0.html#K8" title="COMPOS_0:func.8">IncAddr</a> (<font color="Maroon" title="c1">I</font>,<font color="Maroon" title="c5">j</font>)</span>)</span>,<font color="Maroon" title="c7">s1</font>)</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c7">s1</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1</span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:46_1_1_1_1_9_1_2"><span class="lab"><font color="Green" title="E21">A14</font></span></a>, <a class="txt" href="#E1:46_1_1_1_1_9_1_2"><span class="lab"><font color="Green" title="E20">A13</font></span></a>, <a class="ref" href="ami_3.html#T9" onmouseover="rs('ami_3/T9')" onmouseout="rh()">AMI_3:9</a></span>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c7">s1</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1</span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font>

<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p2">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c7">s1</font>,<font color="Maroon" title="c6">k</font>)</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E5:46_1_1_1_1_9_1_2"><span class="lab"><font color="Green" title="E23">A16</font></span></a></span>
<br/>.= 
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">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_0.html#K8" title="COMPOS_0:func.8">IncAddr</a> (<font color="Maroon" title="c1">I</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c5">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c6">k</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c7">s1</font>,<font color="Maroon" title="c6">k</font>)</span>)</span>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:46_1_1_1_1_9_1_2"><span class="lab"><font color="Green" title="E22">A15</font></span></a>, <a class="txt" href="#E1:46_1_1_1_1_9_1_2"><span class="lab"><font color="Green" title="E20">A13</font></span></a>, <a class="txt" href="#E7:46_1_1_1_1_9"><span class="lab"><font color="Green" title="E19">A11</font></span></a>, <a class="ref" href="ami_3.html#T9" onmouseover="rs('ami_3/T9')" onmouseout="rh()">AMI_3:9</a></span>
; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" 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>


</div>
