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

<span class="kw">let </span><font color="Maroon" title="c1">R</font> be   <a href="scmring1.html#V1" title="SCMRING1:attr.1">good</a>  <a href="funcsdom.html#NM1" title="FUNCSDOM:NM.1">Ring</a>; <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" title="b1">a</font> being    <a href="scmring2.html#M1" title="SCMRING2:mode.1">Data-Location</a> of <font color="Maroon" title="c1">R</font><br/>  for <font color="Olive" title="b2">i1</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> <br/>  for <font color="Olive" title="b3">k</font> being   <a href="ordinal1.html#V7" title="ORDINAL1:attr.7">natural</a>   <a href="ordinal1.html#NM1" title="ORDINAL1:NM.1">number</a>  holds   <a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<span class="p1">(<span class="default"><font color="Olive" title="b1">a</font> <a href="scmring2.html#K9" title="SCMRING2:func.9">=0_goto</a> <font color="Olive" title="b2">i1</font></span>)</span>,<font color="Olive" title="b3">k</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">a</font> <a href="scmring2.html#K9" title="SCMRING2:func.9">=0_goto</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">i1</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Olive" title="b3">k</font></span>)</span></span><br/><span class="kw">let </span><font color="Maroon" title="c2">a</font> be    <a href="scmring2.html#M1" title="SCMRING2:mode.1">Data-Location</a> of <font color="Maroon" title="c1">R</font>; <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" title="b1">i1</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> <br/>  for <font color="Olive" title="b2">k</font> being   <a href="ordinal1.html#V7" title="ORDINAL1:attr.7">natural</a>   <a href="ordinal1.html#NM1" title="ORDINAL1:NM.1">number</a>  holds   <a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="scmring2.html#K9" title="SCMRING2:func.9">=0_goto</a> <font color="Olive" title="b1">i1</font></span>)</span>,<font color="Olive" title="b2">k</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">a</font> <a href="scmring2.html#K9" title="SCMRING2:func.9">=0_goto</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">i1</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Olive" title="b2">k</font></span>)</span></span><br/><span class="kw">let </span><font color="Maroon" title="c3">i1</font> be    <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> ; <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" title="b1">k</font> being   <a href="ordinal1.html#V7" title="ORDINAL1:attr.7">natural</a>   <a href="ordinal1.html#NM1" title="ORDINAL1:NM.1">number</a>  holds   <a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="scmring2.html#K9" title="SCMRING2:func.9">=0_goto</a> <font color="Maroon" title="c3">i1</font></span>)</span>,<font color="Olive" title="b1">k</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">a</font> <a href="scmring2.html#K9" title="SCMRING2:func.9">=0_goto</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">i1</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Olive" title="b1">k</font></span>)</span></span><br/><span class="kw">let </span><font color="Maroon" title="c4">k</font> be   <a href="ordinal1.html#V7" title="ORDINAL1:attr.7">natural</a>   <a href="ordinal1.html#NM1" title="ORDINAL1:NM.1">number</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="scmring2.html#K9" title="SCMRING2:func.9">=0_goto</a> <font color="Maroon" title="c3">i1</font></span>)</span>,<font color="Maroon" title="c4">k</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">a</font> <a href="scmring2.html#K9" title="SCMRING2:func.9">=0_goto</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">i1</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Maroon" title="c4">k</font></span>)</span></span><br/>







<a NAME="E1:72"/><span class="lab"><font color="Green" title="E35">A1</font></span>: 
 <a href="compos_1.html#NK5" title="COMPOS_1:NK.5">JumpPart</a> <span class="p1">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="scmring2.html#K9" title="SCMRING2:func.9">=0_goto</a> <font color="Maroon" title="c3">i1</font></span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">k</font> <a href="valued_1.html#K7" title="VALUED_1:func.7">+</a> <span class="p1">(<span class="default"><a href="compos_1.html#NK5" title="COMPOS_1:NK.5">JumpPart</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="scmring2.html#K9" title="SCMRING2:func.9">=0_goto</a> <font color="Maroon" title="c3">i1</font></span>)</span></span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="compos_1.html#D17" title="COMPOS_1:def.17">COMPOS_1:def 17</a></span>;<br/>
<a NAME="E2:72"/><span class="kw">then </span><span class="lab"><font color="Green" title="E36">A2</font></span>: 
 <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <span class="p1">(<span class="default"><a href="compos_1.html#NK5" title="COMPOS_1:NK.5">JumpPart</a> <span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<span class="p3">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="scmring2.html#K9" title="SCMRING2:func.9">=0_goto</a> <font color="Maroon" title="c3">i1</font></span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <span class="p1">(<span class="default"><a href="compos_1.html#NK5" title="COMPOS_1:NK.5">JumpPart</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="scmring2.html#K9" title="SCMRING2:func.9">=0_goto</a> <font color="Maroon" title="c3">i1</font></span>)</span></span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="valued_1.html#D2" title="VALUED_1:def.2">VALUED_1:def 2</a></span>;<br/>
<span class="lab"><font color="Green" title="E37">A3</font></span>:  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <span class="p1">(<span class="default"><a href="compos_1.html#NK5" title="COMPOS_1:NK.5">JumpPart</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="scmring2.html#K9" title="SCMRING2:func.9">=0_goto</a> <span class="p3">(<span class="default"><font color="Maroon" title="c3">i1</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Maroon" title="c4">k</font></span>)</span></span>)</span></span>)</span> = 
 <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <span class="p1"><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">&lt;*</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c3">i1</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Maroon" title="c4">k</font></span>)</span></span><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">*&gt;</a></span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="recdef_2.html#D2" title="RECDEF_2:def.2">RECDEF_2:def 2</a></span>
<br/>.= 
 <a href="finseq_1.html#K2" title="FINSEQ_1:func.2">Seg</a> 1
<span class="kw">by</span> <span class="lab"><a class="ref" href="finseq_1.html#T38" title="FINSEQ_1:th.38">FINSEQ_1:38</a></span>
<br/>.= 
 <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <span class="p1"><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">&lt;*</a><span class="default"><font color="Maroon" title="c3">i1</font></span><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">*&gt;</a></span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="finseq_1.html#T38" title="FINSEQ_1:th.38">FINSEQ_1:38</a></span>
<br/>.= 
 <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <span class="p1">(<span class="default"><a href="compos_1.html#NK5" title="COMPOS_1:NK.5">JumpPart</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="scmring2.html#K9" title="SCMRING2:func.9">=0_goto</a> <font color="Maroon" title="c3">i1</font></span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="recdef_2.html#D2" title="RECDEF_2:def.2">RECDEF_2:def 2</a></span>
;<br/>
<a NAME="E4:72"/><span class="lab"><font color="Green" title="E38">A4</font></span>: 
 for <font color="Olive" title="b1">x</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a>   st <font color="Olive" title="b1">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <span class="p1">(<span class="default"><a href="compos_1.html#NK5" title="COMPOS_1:NK.5">JumpPart</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="scmring2.html#K9" title="SCMRING2:func.9">=0_goto</a> <font color="Maroon" title="c3">i1</font></span>)</span></span>)</span> holds <br/><span class="p1">(<span class="default"><a href="compos_1.html#NK5" title="COMPOS_1:NK.5">JumpPart</a> <span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<span class="p3">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="scmring2.html#K9" title="SCMRING2:func.9">=0_goto</a> <font color="Maroon" title="c3">i1</font></span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="compos_1.html#NK5" title="COMPOS_1:NK.5">JumpPart</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="scmring2.html#K9" title="SCMRING2:func.9">=0_goto</a> <span class="p3">(<span class="default"><font color="Maroon" title="c3">i1</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Maroon" title="c4">k</font></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">x</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="72_2"><span class="kw">proof </span></a><div class="add">

<span class="kw">let </span><font color="Maroon" title="c5">x</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</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="c5">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <span class="p1">(<span class="default"><a href="compos_1.html#NK5" title="COMPOS_1:NK.5">JumpPart</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="scmring2.html#K9" title="SCMRING2:func.9">=0_goto</a> <font color="Maroon" title="c3">i1</font></span>)</span></span>)</span> implies <span class="p1">(<span class="default"><a href="compos_1.html#NK5" title="COMPOS_1:NK.5">JumpPart</a> <span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<span class="p3">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="scmring2.html#K9" title="SCMRING2:func.9">=0_goto</a> <font color="Maroon" title="c3">i1</font></span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c5">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="compos_1.html#NK5" title="COMPOS_1:NK.5">JumpPart</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="scmring2.html#K9" title="SCMRING2:func.9">=0_goto</a> <span class="p3">(<span class="default"><font color="Maroon" title="c3">i1</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Maroon" title="c4">k</font></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c5">x</font> )</span><br/>

<span class="kw">assume </span><a NAME="E1:72_2"/><span class="lab"><font color="Green" title="E39">A5</font></span>: 
<font color="Maroon" title="c5">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <span class="p1">(<span class="default"><a href="compos_1.html#NK5" title="COMPOS_1:NK.5">JumpPart</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="scmring2.html#K9" title="SCMRING2:func.9">=0_goto</a> <font color="Maroon" title="c3">i1</font></span>)</span></span>)</span>
 ; <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="compos_1.html#NK5" title="COMPOS_1:NK.5">JumpPart</a> <span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<span class="p3">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="scmring2.html#K9" title="SCMRING2:func.9">=0_goto</a> <font color="Maroon" title="c3">i1</font></span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c5">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="compos_1.html#NK5" title="COMPOS_1:NK.5">JumpPart</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="scmring2.html#K9" title="SCMRING2:func.9">=0_goto</a> <span class="p3">(<span class="default"><font color="Maroon" title="c3">i1</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Maroon" title="c4">k</font></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c5">x</font></span><br/>

<a NAME="E2:72_2"/><span class="kw">then </span>
<font color="Maroon" title="c5">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <span class="p1"><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">&lt;*</a><span class="default"><font color="Maroon" title="c3">i1</font></span><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">*&gt;</a></span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="recdef_2.html#D2" title="RECDEF_2:def.2">RECDEF_2:def 2</a></span>;<br/>
<a NAME="E3:72_2"/><span class="kw">then </span><span class="lab"><font color="Green" title="E40">A6</font></span>: 
<font color="Maroon" title="c5">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="finseq_1.html#T90" title="FINSEQ_1:th.90">FINSEQ_1:90</a></span>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c6">f</font> = <span class="p1">(<span class="default"><a href="compos_1.html#NK5" title="COMPOS_1:NK.5">JumpPart</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="scmring2.html#K9" title="SCMRING2:func.9">=0_goto</a> <font color="Maroon" title="c3">i1</font></span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c5">x</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/>
<a NAME="E5:72_2"/><span class="lab"><font color="Green" title="E41">A7</font></span>: 
<span class="p1">(<span class="default"><a href="compos_1.html#NK5" title="COMPOS_1:NK.5">JumpPart</a> <span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<span class="p3">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="scmring2.html#K9" title="SCMRING2:func.9">=0_goto</a> <font color="Maroon" title="c3">i1</font></span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c5">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">k</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c6">f</font>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:72_2"><span class="lab"><font color="Green" title="E39">A5</font></span></a>, <a class="txt" href="#E1:72"><span class="lab"><font color="Green" title="E35">A1</font></span></a>, <a class="txt" href="#E2:72"><span class="lab"><font color="Green" title="E36">A2</font></span></a>, <a class="ref" href="valued_1.html#D2" title="VALUED_1:def.2">VALUED_1:def 2</a></span>;<br/>
<font color="Maroon" title="c6">f</font> = 
<span class="p1"><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">&lt;*</a><span class="default"><font color="Maroon" title="c3">i1</font></span><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">*&gt;</a></span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c5">x</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="recdef_2.html#D2" title="RECDEF_2:def.2">RECDEF_2:def 2</a></span>
<br/>.= 
<font color="Maroon" title="c3">i1</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:72_2"><span class="lab"><font color="Green" title="E40">A6</font></span></a>, <a class="ref" href="finseq_1.html#T40" title="FINSEQ_1:th.40">FINSEQ_1:40</a></span>
;<br/>
<span class="kw">hence </span><span class="p1">(<span class="default"><a href="compos_1.html#NK5" title="COMPOS_1:NK.5">JumpPart</a> <span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<span class="p3">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="scmring2.html#K9" title="SCMRING2:func.9">=0_goto</a> <font color="Maroon" title="c3">i1</font></span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c5">x</font> = 
<span class="p1"><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">&lt;*</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c3">i1</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Maroon" title="c4">k</font></span>)</span></span><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">*&gt;</a></span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c5">x</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:72_2"><span class="lab"><font color="Green" title="E40">A6</font></span></a>, <a class="txt" href="#E5:72_2"><span class="lab"><font color="Green" title="E41">A7</font></span></a>, <a class="ref" href="finseq_1.html#T40" title="FINSEQ_1:th.40">FINSEQ_1:40</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="compos_1.html#NK5" title="COMPOS_1:NK.5">JumpPart</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="scmring2.html#K9" title="SCMRING2:func.9">=0_goto</a> <span class="p3">(<span class="default"><font color="Maroon" title="c3">i1</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Maroon" title="c4">k</font></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c5">x</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="recdef_2.html#D2" title="RECDEF_2:def.2">RECDEF_2:def 2</a></span>
;<br/> <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="lab"><font color="Green" title="E39">A8</font></span>:  <a href="compos_1.html#K5" title="COMPOS_1:func.5">InsCode</a> <span class="p1">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="scmring2.html#K9" title="SCMRING2:func.9">=0_goto</a> <font color="Maroon" title="c3">i1</font></span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span> = 
 <a href="compos_1.html#K5" title="COMPOS_1:func.5">InsCode</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="scmring2.html#K9" title="SCMRING2:func.9">=0_goto</a> <font color="Maroon" title="c3">i1</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="compos_1.html#D17" title="COMPOS_1:def.17">COMPOS_1:def 17</a></span>
<br/>.= 
7
<span class="kw">by</span> <span class="lab"><a class="ref" href="recdef_2.html#D1" title="RECDEF_2:def.1">RECDEF_2:def 1</a></span>
<br/>.= 
 <a href="compos_1.html#K5" title="COMPOS_1:func.5">InsCode</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="scmring2.html#K9" title="SCMRING2:func.9">=0_goto</a> <span class="p2">(<span class="default"><font color="Maroon" title="c3">i1</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Maroon" title="c4">k</font></span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="recdef_2.html#D1" title="RECDEF_2:def.1">RECDEF_2:def 1</a></span>
;<br/>
<span class="lab"><font color="Green" title="E40">A9</font></span>:  <a href="compos_1.html#NK6" title="COMPOS_1:NK.6">AddressPart</a> <span class="p1">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="scmring2.html#K9" title="SCMRING2:func.9">=0_goto</a> <font color="Maroon" title="c3">i1</font></span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span> = 
 <a href="compos_1.html#NK6" title="COMPOS_1:NK.6">AddressPart</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="scmring2.html#K9" title="SCMRING2:func.9">=0_goto</a> <font color="Maroon" title="c3">i1</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="compos_1.html#D17" title="COMPOS_1:def.17">COMPOS_1:def 17</a></span>
<br/>.= 
<span class="p1"><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">&lt;*</a><span class="default"><font color="Maroon" title="c2">a</font></span><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">*&gt;</a></span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="recdef_2.html#D3" title="RECDEF_2:def.3">RECDEF_2:def 3</a></span>
<br/>.= 
 <a href="compos_1.html#NK6" title="COMPOS_1:NK.6">AddressPart</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="scmring2.html#K9" title="SCMRING2:func.9">=0_goto</a> <span class="p2">(<span class="default"><font color="Maroon" title="c3">i1</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Maroon" title="c4">k</font></span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="recdef_2.html#D3" title="RECDEF_2:def.3">RECDEF_2:def 3</a></span>
;<br/>
<a NAME="E7:72"/>
 <a href="compos_1.html#NK5" title="COMPOS_1:NK.5">JumpPart</a> <span class="p1">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="scmring2.html#K9" title="SCMRING2:func.9">=0_goto</a> <font color="Maroon" title="c3">i1</font></span>)</span>,<font color="Maroon" title="c4">k</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="compos_1.html#NK5" title="COMPOS_1:NK.5">JumpPart</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="scmring2.html#K9" title="SCMRING2:func.9">=0_goto</a> <span class="p2">(<span class="default"><font color="Maroon" title="c3">i1</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Maroon" title="c4">k</font></span>)</span></span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:72"><span class="lab"><font color="Green" title="E36">A2</font></span></a>, <a class="txt" href="#E3:72"><span class="lab"><font color="Green" title="E37">A3</font></span></a>, <a class="txt" href="#E4:72"><span class="lab"><font color="Green" title="E38">A4</font></span></a>, <a class="ref" href="funct_1.html#T2" title="FUNCT_1:th.2">FUNCT_1:2</a></span>;<br/>
<span class="kw">hence </span><a NAME="E8:72"/>
 <a href="compos_1.html#K9" title="COMPOS_1:func.9">IncAddr</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="scmring2.html#K9" title="SCMRING2:func.9">=0_goto</a> <font color="Maroon" title="c3">i1</font></span>)</span>,<font color="Maroon" title="c4">k</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">a</font> <a href="scmring2.html#K9" title="SCMRING2:func.9">=0_goto</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">i1</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Maroon" title="c4">k</font></span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E5:72"><span class="lab"><font color="Green" title="E39">A8</font></span></a>, <a class="txt" href="#E6:72"><span class="lab"><font color="Green" title="E40">A9</font></span></a>, <a class="ref" href="compos_1.html#T1" title="COMPOS_1:th.1">COMPOS_1:1</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>
