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

<span class="kw">set </span><font color="Maroon" title="c4">w</font> =  the   <a href="memstr_0.html#NM2" title="MEMSTR_0:NM.2">State</a> of <span class="p1">(<span class="default"><a href="scmring2.html#K1" title="SCMRING2:func.1">SCM</a> <font color="Maroon" title="c1">S</font></span>)</span>;<br/>
<span class="kw">consider </span><font color="Maroon" title="c5">e</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">S</font><span class="kw"> such that </span><br/><a NAME="E2:54_1_1"/><span class="lab"><font color="Green" title="E33">A1</font></span>: 
<font color="Maroon" title="c5">e</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">S</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="struct_0.html#D18" title="STRUCT_0:def.18">STRUCT_0:def 18</a></span>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c6">e</font> = <font color="Maroon" title="c5">e</font> as   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">S</font> ;<br/>
<span class="kw">set </span><font color="Maroon" title="c7">t</font> =  the   <a href="memstr_0.html#NM2" title="MEMSTR_0:NM.2">State</a> of <span class="p1">(<span class="default"><a href="scmring2.html#K1" title="SCMRING2:func.1">SCM</a> <font color="Maroon" title="c1">S</font></span>)</span> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p1">(<span class="default">(<span class="p2">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> (<font color="Maroon" title="c1">S</font>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span>,<span class="p2">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> (<font color="Maroon" title="c1">S</font>,1)</span>)</span>) <a href="scmring3.html#K1" title="SCMRING3:func.1">--&gt;</a> (<span class="p2">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">S</font></span>)</span>,<font color="Maroon" title="c6">e</font>)</span>)</span>;<br/>
<a NAME="E4:54_1_1"/><span class="lab"><font color="Green" title="E34">A2</font></span>: 
 <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <span class="p1">(<span class="default">(<span class="p2">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> (<font color="Maroon" title="c1">S</font>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span>,<span class="p2">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> (<font color="Maroon" title="c1">S</font>,1)</span>)</span>) <a href="scmring3.html#K1" title="SCMRING3:func.1">--&gt;</a> (<span class="p2">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">S</font></span>)</span>,<font color="Maroon" title="c6">e</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K2" title="TARSKI:func.2">{</a><span class="default"><span class="p2">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> (<font color="Maroon" title="c1">S</font>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span>,<span class="p2">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> (<font color="Maroon" title="c1">S</font>,1)</span>)</span></span><a href="tarski.html#K2" title="TARSKI:func.2">}</a></span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="funct_4.html#T62" title="FUNCT_4:th.62">FUNCT_4:62</a></span>;<br/>
<a NAME="E5:54_1_1"/><span class="kw">then </span><span class="lab"><font color="Green" title="E35">A3</font></span>: 
 <a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> (<font color="Maroon" title="c1">S</font>,1) <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <span class="p1">(<span class="default">(<span class="p2">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> (<font color="Maroon" title="c1">S</font>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span>,<span class="p2">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> (<font color="Maroon" title="c1">S</font>,1)</span>)</span>) <a href="scmring3.html#K1" title="SCMRING3:func.1">--&gt;</a> (<span class="p2">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">S</font></span>)</span>,<font color="Maroon" title="c6">e</font>)</span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="tarski.html#D2" title="TARSKI:def.2">TARSKI:def 2</a></span>;<br/>
<span class="lab"><font color="Green" title="E36">A4</font></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">p</font> <a href="scmring2.html#K3" title="SCMRING2:func.3">:=</a> <font color="Maroon" title="c3">q</font></span>)</span> = 
1
<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"><span class="p2">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> (<font color="Maroon" title="c1">S</font>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">:=</a> <span class="p2">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> (<font color="Maroon" title="c1">S</font>,1)</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/>
<a NAME="E7:54_1_1"/>
 <a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> (<font color="Maroon" title="c1">S</font>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>) <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="memstr_0.html#NK3" title="MEMSTR_0:NK.3">Data-Locations</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmring2.html#T1" title="SCMRING2:th.1">SCMRING2:1</a></span>;<br/>
<a NAME="E8:54_1_1"/><span class="kw">then </span><span class="lab"><font color="Green" title="E37">A5</font></span>: 
 <a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> (<font color="Maroon" title="c1">S</font>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>) <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="memstr_0.html#NK3" title="MEMSTR_0:NK.3">Data-Locations</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmring2.html#T22" title="SCMRING2:th.22">SCMRING2:22</a></span>;<br/>
<a NAME="E9:54_1_1"/>
 <a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> (<font color="Maroon" title="c1">S</font>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>) <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <span class="p1">(<span class="default">(<span class="p2">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> (<font color="Maroon" title="c1">S</font>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span>,<span class="p2">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> (<font color="Maroon" title="c1">S</font>,1)</span>)</span>) <a href="scmring3.html#K1" title="SCMRING3:func.1">--&gt;</a> (<span class="p2">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">S</font></span>)</span>,<font color="Maroon" title="c6">e</font>)</span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:54_1_1"><span class="lab"><font color="Green" title="E34">A2</font></span></a>, <a class="ref" href="tarski.html#D2" title="TARSKI:def.2">TARSKI:def 2</a></span>;<br/>
<span class="kw">then </span><span class="lab"><font color="Green" title="E38">A6</font></span>: <span class="p1">(<span class="default"> the   <a href="memstr_0.html#NM2" title="MEMSTR_0:NM.2">State</a> of <span class="p1">(<span class="default"><a href="scmring2.html#K1" title="SCMRING2:func.1">SCM</a> <font color="Maroon" title="c1">S</font></span>)</span> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default">(<span class="p3">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> (<font color="Maroon" title="c1">S</font>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span>,<span class="p3">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> (<font color="Maroon" title="c1">S</font>,1)</span>)</span>) <a href="scmring3.html#K1" title="SCMRING3:func.1">--&gt;</a> (<span class="p3">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">S</font></span>)</span>,<font color="Maroon" title="c6">e</font>)</span>)</span></span>)</span> <a href="scmring2.html#K2" title="SCMRING2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> (<font color="Maroon" title="c1">S</font>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span> = 
<span class="p1">(<span class="default">(<span class="p2">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> (<font color="Maroon" title="c1">S</font>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span>,<span class="p2">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> (<font color="Maroon" title="c1">S</font>,1)</span>)</span>) <a href="scmring3.html#K1" title="SCMRING3:func.1">--&gt;</a> (<span class="p2">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">S</font></span>)</span>,<font color="Maroon" title="c6">e</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> (<font color="Maroon" title="c1">S</font>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="funct_4.html#T13" title="FUNCT_4:th.13">FUNCT_4:13</a></span>
<br/>.= 
 <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">S</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_3.html#T10" title="AMI_3:th.10">AMI_3:10</a>, <a class="ref" href="funct_4.html#T63" title="FUNCT_4:th.63">FUNCT_4:63</a></span>
;<br/>
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> (<font color="Maroon" title="c1">S</font>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">:=</a> <span class="p3">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> (<font color="Maroon" title="c1">S</font>,1)</span>)</span></span>)</span>,<span class="p2">(<span class="default"> the   <a href="memstr_0.html#NM2" title="MEMSTR_0:NM.2">State</a> of <span class="p1">(<span class="default"><a href="scmring2.html#K1" title="SCMRING2:func.1">SCM</a> <font color="Maroon" title="c1">S</font></span>)</span> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default">(<span class="p4">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> (<font color="Maroon" title="c1">S</font>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span>,<span class="p4">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> (<font color="Maroon" title="c1">S</font>,1)</span>)</span>) <a href="scmring3.html#K1" title="SCMRING3:func.1">--&gt;</a> (<span class="p4">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">S</font></span>)</span>,<font color="Maroon" title="c6">e</font>)</span>)</span></span>)</span>)</span>)</span> <a href="scmring2.html#K2" title="SCMRING2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> (<font color="Maroon" title="c1">S</font>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span> = 
<span class="p1">(<span class="default"> the   <a href="memstr_0.html#NM2" title="MEMSTR_0:NM.2">State</a> of <span class="p1">(<span class="default"><a href="scmring2.html#K1" title="SCMRING2:func.1">SCM</a> <font color="Maroon" title="c1">S</font></span>)</span> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default">(<span class="p3">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> (<font color="Maroon" title="c1">S</font>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span>,<span class="p3">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> (<font color="Maroon" title="c1">S</font>,1)</span>)</span>) <a href="scmring3.html#K1" title="SCMRING3:func.1">--&gt;</a> (<span class="p3">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">S</font></span>)</span>,<font color="Maroon" title="c6">e</font>)</span>)</span></span>)</span> <a href="scmring2.html#K2" title="SCMRING2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> (<font color="Maroon" title="c1">S</font>,1)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmring2.html#T11" title="SCMRING2:th.11">SCMRING2:11</a></span>
<br/>.= 
<span class="p1">(<span class="default">(<span class="p2">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> (<font color="Maroon" title="c1">S</font>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span>,<span class="p2">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> (<font color="Maroon" title="c1">S</font>,1)</span>)</span>) <a href="scmring3.html#K1" title="SCMRING3:func.1">--&gt;</a> (<span class="p2">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">S</font></span>)</span>,<font color="Maroon" title="c6">e</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> (<font color="Maroon" title="c1">S</font>,1)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E5:54_1_1"><span class="lab"><font color="Green" title="E35">A3</font></span></a>, <a class="ref" href="funct_4.html#T13" title="FUNCT_4:th.13">FUNCT_4:13</a></span>
<br/>.= 
<font color="Maroon" title="c6">e</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="funct_4.html#T63" title="FUNCT_4:th.63">FUNCT_4:63</a></span>
;<br/>
<span class="kw">hence </span><a NAME="E12:54_1_1"/>
 for <font color="Olive">b<sub>1</sub></font> being   <a href="compos_1.html#NM3" title="COMPOS_1:NM.3">InsType</a> of <span class="p1">(<span class="default"><a href="scmring2.html#K1" title="SCMRING2:func.1">SCM</a> <font color="Maroon" title="c1">S</font></span>)</span>  st <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="compos_1.html#K5" title="COMPOS_1:func.5">InsCode</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">p</font> <a href="scmring2.html#K3" title="SCMRING2:func.3">:=</a> <font color="Maroon" title="c3">q</font></span>)</span> holds <br/> not <font color="Olive">b<sub>1</sub></font> is  <a href="amistd_1.html#V1" title="AMISTD_1:attr.1">jump-only</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:54_1_1"><span class="lab"><font color="Green" title="E33">A1</font></span></a>, <a class="txt" href="#E6:54_1_1"><span class="lab"><font color="Green" title="E36">A4</font></span></a>, <a class="txt" href="#E10:54_1_1"><span class="lab"><font color="Green" title="E38">A6</font></span></a>, <a class="txt" href="#E8:54_1_1"><span class="lab"><font color="Green" title="E37">A5</font></span></a>, <a class="ref" href="amistd_1.html#D1" title="AMISTD_1:def.1">AMISTD_1:def 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>
